Course Listings

Chemical Engineering - Undergraduate

  • Ch 451


    Nanoscience is the study and manipulation of matter on an atomic and molecular level.  At this scale, materials often exhibit new properties that do not exist in their large-scale counterparts because of the increased importance of surface area/volume ratios and quantum effects.  This course will focus on understanding the physical properties and methodologies for the formation (i.e. molecular self-assembly, photolithographic patterning, scanning probe lithography), and characterization (i.e. optical spectroscopy, atomic force microscopy, scanning tunneling microscopy, and electron microscopy) of nanomaterials.  

    3 credits. Prerequisites: Ch 160 and Ch 231. Co-requisites: Ch 251, Ch 261 and Ph 213, or instructor's permission.

  • ChE 121

    Chemical Reaction Engineering

    After consideration of chemical reaction kinetics and thermodynamics, the course focuses on the design relationships for batch, semi-batch, plug-flow and mixed reactors. The application of these design relationships is explored in ideal, isothermal, non-isothermal, adiabatic reactors. Homogeneous,heterogeneous and biological systems are discussed including the effect of transport phenomena on reaction rates and reactor design.

    3 credits. Prerequisites: ESC 170 and ESC 140

  • ChE 131

    Advanced Chemical Engineering Thermodynamics

    Concept of fugacity in imperfect gases; chemical potential and partial molal properties in mixtures; Gibbs-Duhem Equation; ideal solutions of imperfect gas mixtures; the Lewis and Randall Rule; methods of calculating activity coefficients in non-ideal mixtures; vapor-liquid equilibria; checking thermodynamic consistency of vapor-liquid equilibrium data;equilibrium constant, enthalpy change and Gibbs free energy of formation in chemical reactions.

    3 credits. Prerequisite: ESC 130.1

  • ChE 141

    Heat and Mass Transfer

    Steady-state and unsteady-state heat transfer. Steady-state and unsteady state mass transfer. Interphase transport and transfer coefficients.Convective heat and mass transfer. Internal and external forced convection. Heat transfer equipment.Natural convection. Boiling and condensation. Radiation heat transfer.

    4 credits. Prerequisite: ESC 140.

  • ChE 142

    Separation Process Principles

    Application of thermodynamic and transport concepts to the design ofcontinuous-contact and staged mass transfer processes common in the chemical process industries. Separation by phase addition, phase creation, by barrier, by solid agent and by external field or gradient. Examination of the limitations of theory and empiricism in design practice.

    3 credits. Prerequisites: ChE 131 and ChE 141

  • ChE 151

    Process Simulation and Mathematical Techniques for Chemical Engineers

    In this course, numerical methods will be applied to chemical engineering problems in mass and energy balances, thermodynamics, fluid flow, heat transfer, separations, and chemical reactor analysis. Topics include: computer calculations and round-off error, algorithms and convergence, finding roots by bisection or Newton’s method, curve fitting and interpolation / extrapolation, numerical integration and differentiation, numerical solution of initial value problems, stiffness, matrices and determinants, matrix properties, special matrices, methods of solution for systems of linear equations by matrices, eigenvalues, eigenvectors, solving systems of non-linear equations, and applications to unit operations. We will use series methods and numerical methods applied to various chemical engineering models, including the following specific methods: Euler’s method, Runge-Kutta methods, the Finite difference method, and Newton-Raphson for vector systems. 

    3 credits. Prerequisite: ChE 140

  • ChE 152

    Chemical Process Dynamics and Control

    Introduction to logic of process dynamics and principles of control in chemical engineering applications; block diagram notation, input disturbance, frequency response and stability criteria for chemical equipment and chemical reaction systems; single- and multiple-loopsystems; phase plane analysis of reaction systems; application of analog computer in solution of problems.

    3 credits. Prerequisite: ChE 151

  • ChE 161.1

    Process Evaluation and Design I

    The course uses design projects to explore process flow diagrams and initial equipment design estimates based on process and unit operation material and heat balances. Studies include equipment cost estimation methods that are developed into process economic evaluations and profitability analysis. The course concludes with process and equipment design using Simulation Science's PROvision/PRO-II and an examination of optimization techniques.

    3 credits each. Prerequisites: ChE 141 and ChE 121

  • ChE 161.2

    Process Evaluation and Design II

    This is a continuation of ChE 161.1, and is the "capstone design course" in chemical engineering. All aspects of chemical engineering are integrated inthe design of a chemical process plant. The design process consists of flowsheet development, equipments election and sizing, utility requirements, instrumentation and control, economic analysis and formulation of safety procedures.The plant design is carried out in classand includes the use of professional simulation packages. The AIChE project is included in this course.

    3 credits. Prerequisite: ChE 161.1

  • ChE 162.1-162.2

    Chemical Engineering Laboratory I & II

    This laboratory course emphasizes the application of fundamentals and engineering to processing and unit operations. The experiments range from traditional engineering applications to new technologies and are designed to provide hands-on experiences that complement the theories and principles discussed in the classroom.Preparation of detailed project reports and oral presentations are important components of this course.

    1.5 credits each. Prerequisite: ChE 121, ChE 141 - corequisite: ChE 142

  • ChE 391

    Research Problem I

    An elective course available to qualified and interested students recommended by the faculty. Students may select problems of particular interest in some aspect of theoretical or applied chemical engineering. Topics range from highly theoretical to completely practical, and each student is encouraged to do creative work on his or her own with faculty guidance.

    3 credits. Prerequisite: senior standing

  • ChE 392

    Research Problem II

    Continuation of ChE 391.

    3 credits. Prerequisite: ChE 391

  • ChE 393

    Research Problem III

    Continuation of ChE 392.

    3 credits. Prerequisite: ChE 392

  • ChE 394

    Research Problem IV

    Continuation of ChE 393.

    3 credits. Prerequisite: ChE 393

Chemical Engineering - Graduate

  • ChE 421

    Advanced Chemical Reaction Engineering

    Principles and practices of chemical reaction systems emphasizing heterogeneous chemical kinetics, coupled heat and mass transfer in reacting systems and reactor dynamics. Modeling and simulation of systems are extensively applied.

    3 credits. Prerequisite: ChE 121

  • ChE 430

    Thermodynamics of Special Systems (same as EID and ME 430)

    3 credits. Prerequisite: ChE 131

  • ChE 431

    Advanced Chemical Engineering Thermodynamics and Molecular Theory

    Modern methods of applying thermodynamics and molecular physics to phase behavior of fluid mixtures, intermolecular forces and thermodynamic properties, molecular dynamic properties, molecular theory of gases and liquids, theories of liquid solutions and fluid mixtures at high pressures.

    3 credits. Prerequisite: ChE 131

  • ChE 434

    Special Topics in Combustion (same as ME 434)

    3 credits. Prerequisite: ME 334 or permission of instructor

  • ChE 440

    Advanced Fluid Mechanics (same as EID and ME 440)

    Steady and transient heat transfer by conduction. Convective heat transfer. Energy transport in flowing media. Free convection. Conservation of species equation. Fisk’s law of binary diffusion. Mass transfer with simultaneous homogeneous or heterogeneous reaction. Multicomponent heat and mass transfer. Stefan-Maxwell equations for multicomponent diffusion. Simultaneous heat and mass transfer. Transport in electrolyte solutions. Special topics may include: membrane separation processes, drug delivery and controlled release, turbulent heat and mass transfer, boundary layer heat and mass transfer, and chemically reacting flows.

    3 credits. Prerequisite: EID 440 or ChE 440

  • ChE 441

    Advanced Heat and Mass Transfer (same as EID 441)

    3 credits. Prerequisite: ESC 440

  • ChE 445

    Particle Technology

    Introduction to particle technology and multiphase flow. Particle properties and characterization. Granular materials and flow. Gas-solid flows. Flow through packed beds. Fluidization. Gas-solid separations. Slurry transport. Pneumatic transport. Powders and bulksolids. Mixing and segregation. Particle size reduction and enlargement. Aerosol dynamics. Industrial petrochemical and pharmaceutical processes: fluid catalytic cracking, gascyclones, hoppers, granulation, coating.

    3 credits. Prerequisite: ESC 140

  • ChE 447

    Sustainability and Pollution Prevention

    The first part of this course discussesin detail a methodology for defining and assessing the sustainability of an entity. The course then proceeds with more traditional topics in pollution prevention for chemical processes, outlining concepts on the macroscale, (life-cycle assessment) and mesoscale (pollution prevention for unit operations). By the end of this course, you should be able to use a fuzzy-logic based methodology to define and assess sustainability, perform a sensitivity analysis which identifies the most critical components of sustainability for a given corporation, perform a life-cycle assessment on a product or process, identify and apply chemical process design methods for waste minimization, energy efficiency, and minimal environmental impact and design, size, and cost a simple waste treatment process.

    3 credits. Prerequisite: permission of instructor

  • ChE 460

    Chemical Engineering Equipment Design

    The chemical engineer must develop, design and engineer both the complete process and the equipment used; choose the proper raw materials; operate the plant efficiently, safely and economically; and see to it that products meet the requirements set by the customer. Chemical engineering is both an art and a science. Whenever science helps the engineer to solve a problem, science should be used. When, as is usually the case, science does not give a complete answer, it is necessary to use experience and judgment. The professional stature of an engineer depends on skill in utilizing all sources of information to reach practical solutions to processing problems. This series of courses will concentrate specifically on the theoretical and practical principles of detailed design of three major unit operation equipment. Attempts will be made to emphasize modern technologies used in these operations. Unit operations equipment covered will vary from course to course according to the following titles:

    ChE 460              Process Heat Transfer Equipment

    ChE 460.1           Principles of Design and Analysis of Reactors

    ChE 460.2           Design and Operation of Distillation Systems

    3 credits. Prerequisite: permission of instructor

  • ChE 475

    Pharmaceutical Engineering

    Introduction to pharmaceutical engineering. Overview of the pharmaceutical industry and drug discovery and development. Clinical trials, regulation, and validation. Scientific principles of dosage forms including solutions, disperse systems, dissolution, stability, and surface phenomena. Biopharmaceutical principles of drug delivery. Pharmacodynamics, pharmacokinetics, and biopharmaceuticals. Unit operations for solid and liquid dosage forms. Pharmaceutical plant design.

    3 credits. Prerequisites: ChE 121, ChE 142, and Ch 262, or permission of instructor

  • ChE 488

    Convex Optimization Techniques

    This course discussesin detail different methods for the optimization of systems of engineering and economic interest using the techniques of linear and nonlinear programming. The focus is on convex optimization, which is the solution of problems with only one best cost, design, size etc. We will consider problems such as least squares, supply chain management, batch process networks, network flow, dynamic programming, portfolio optimization and other examples across all engineering disciplines. Students will learn about optimization theory and problem formulation, with some computational component. By the end of the course, students should be able to: create optimization problems from a physical situation, identify whether the problem can be solved or not, transform problems into equivalent forms, list optimality conditions for problems, find the dual of a problem and identify its relation to the primal,and use at least one method to solve a convex programming problem using a computer.

    3 credits. Prerequisites: ChE 151 or ESC 161, Ma 326 (co-enrollment is fine)

  • ChE 490

    Process Synthesis

    This course provides a new basis forthe design of integrated chemical processes. The ability to predict, at the outset, achievable design targets that have a sound scientific basis is fundamental to the approach. These targets relate to energy, capital and raw materials, costs and flexibility. Topics will include review of basic thermodynamic concepts, capital/energy trade-off, process integration multiple utilities, process/utility interface, reactors and separators in the context of overallprocess power optimization, design for flexibility, total sites layout, batch processes and process plant retrofit.

    3 credits. Prerequisites: ChE 161.1 and ChE 161.2 or permission of instructor

  • ChE 499


    Master's candidates are required to conduct, under the guidance of a faculty adviser, an original investigation of a problem in chemical engineering, individually or in a group, and to submit a written thesis escribing the results of the work.

    6 credits for full year

Civil Engineering - Undergraduate

  • CE 120

    Civil Engineering Fundamentals

    Planning, execution and interpretation of drawings and specifications for civil engineering projects. Sample drawingsand specifications. Contractual requirements. Sample contracts. Permitting, scheduling and cost estimation. Basic operations of design and construction firms. Interface with other disciplines on civil engineering projects.

    3 credits. Prerequisite: EID 101

  • CE 121

    Structural Engineering I

    Discussion of materials, loads and forms of structures. Analysis of determinate structures. Displacements of structures and their importance in applications. Experimental aspects of materials behavior in structural applications. Emphasis is placed on basic experimental techniques, design of experiments, selection and use of appropriate instrumentation and interpretation of results.

    4.5 credits (3 hours of lecture, 3 hours of laboratory). Prerequisite: ESC 101

  • CE 122

    Structural Engineering II

    Modern methods of structural analysisof indeterminate structures. Discussion of energy methods, force methods and displacement methods. Formulation of elementary matrix stiffness and flexibility methods. Computer applications in structural analysis.

    3 credits. Prerequisite: CE 121

  • CE 131

    Introduction to Geotechnical Engineering

    Introduction to various indexing tests of soils, clay mineralogy, permeability, seepage and flow nets, stress distribution in soil masses, one dimensional consolidation theory, strength characteristics of soils, application of Mohr's Circle to soil mechanics, stability of slopes.

    4.5 credits (3 hours of lecture, 3 hours of laboratory). Prerequisite: ESC 101 - prerequisite or corequisite: ESC 140

  • CE 141

    Environmental Systems Engineering

    Qualitative and quantitative treatment of water and wastewater systems as related to domestic and industrial needs and their effect on the environment. Introduction to air pollution sources and control and solid/hazardous waste engineering. Design of water and wastewater treatment plants. Field and laboratory techniques for measurement of water quality parameters. Laboratory analysis of representative waters and wastewaters for commonly determined parameters as related to applications in water environment.

    4.5 credits (3 hours of lecture, 3 hours of laboratory). Prerequisite: ESC 140

  • CE 142

    Water Resources Engineering (same as EID 142)

    Problems in conservation and utilization of water. Hydrologic techniques. Surface water and ground water supplies. Water transmission and distribution. Flood control, navigation and irrigation. Introduction to open channel flow and pipe networks. Design of hydraulic structures. Experimental aspects of hydraulic phenomenon. Emphasisis placed on basic experimental techniques, design of experiments, selection and use of appropriate instrumentation and interpretation of results.

    4.5 credits (3 hours of lecture, 3 hours of laboratory). Prerequisite: ESC 140

  • CE 331

    Foundation Engineering

    Layout of subsurface investigation program, SPT (Standard Penetration Test), Dutch-cone penetrometer. Analysis and design of spread footings on cohesive and cohesion less soil by stability and settlement procedures, combined footings, strap footings, floating foundations and pile foundations. Settlement analysis due to deep-seated consolidation.

    3 credits. Prerequisite: CE 131

  • CE 332

    Lateral Earth Pressures and Retaining Structures

    Introduction to classical lateral earth pressure theories (Rankine and Coulomb). Analysis and design of cantilever and gravity retaining walls, cantilevered and anchored sheetpile bulkheads, anchorage systems (individual and continuous deadmen, grouted tiebacks) and braced cofferdams. Gravity Wall Systems (Gabion Walls, Criblock Walls and Double Wall).

    3 credits. Prerequisite: CE 131

  • CE 341

    Design of Steel Structures

    Study of behavior and design of structural steel components and their connections. Understanding and development of design requirements for safety and serviceability, as related to latest structural steel specifications by the American Institute of Steel Construction (A.I.S.C.). Current design emphasizing LRFD, fabrication and construction practices. Composite design.

    3 credits. Prerequisite: CE 121; corequisite: CE 122

  • CE 342

    Design of Reinforced Concrete Structures

    Study of the behavior and design of structural concrete components and their connections. Understanding and development of design requirements for safety and serviceability, as related to latest specifications by the American Concrete Institute (A.C.I.). Current design, fabrication and construction practices. Introduction to prestressed concrete.

    3 credits. Prerequisite: CE 122

  • CE 346

    Hydraulic Engineering

    An integration and application of the principles of fluid mechanics to problems concerned with water supply and distribution. Open channel flow and design of hydraulic structures.

    3 credits. Prerequisite: CE 142

  • CE 351

    Urban Transportation Planning

    Historical background and evolution of current procedures used in the urban transportation planning process. Covered are the historical framework, urban development theories, land use, trip generation, trip distribution models, traffic assignment techniques, modal split and introduction to urban transportation systems.

    3 credits. Prerequisite: permission of instructor

  • CE 352

    Elements of Transportation Design

    Review of urban transportation planning process. Specific design elements of various highway and public transportation systems. Included are locational design, traffic service, environmental impact analyses, alternatives evaluation, geometric design elements, operations and capacity and level-of-service analysis.Also, selected topics in urban transportation systems.

    3 credits. Prerequisite: permission of instructor

  • CE 361

    Civil Engineering Experimental Projects

    Exploratory experimental projects inmaterials, hydraulics, soils, environmental or other civil engineering specialties. Projects are conceived, designed and executed by groups of students under faculty supervision.

    2 credits. Prerequisite: permission of instructor. (Students are required to have taken introductory civil engineering subject(s) related to project)

  • CE 363

    Civil Engineering Design I

    Individual or group design projects based upon the interests of the students and with the approval of the instructor. Final engineering reports and formal oral presentations are required for all projects. Lectures by faculty and professional practitioners cover the following topics: engineering, environmental and economic feasibility assessment issues; preparation of plans and specifications; cost estimates; progress chart and critical path; interfacing with community, etc. Field visits to major New York City projects under construction.

    3 credits. Prerequisite: permission of instructor. (Students are required to have taken introductory CE subject(s)) related to project)

  • CE 364

    Civil Engineering Design II

    Continuation of CE 363.

    3 credits. Prerequisite: CE 363

  • CE 369

    Civil Engineering Project

    Individual design, research or experimental projects. Open only to well-qualified students.

    3 credits. Prerequisite: permission of instructor

  • CE 391

    Laboratory Testing of Building Materials


    Laboratory testing of common building materials such as concrete, steel, and laminated glazing. Concrete mix design. Casting, curing, and strength testing of concrete cylinders at 7, 21, and 28 days. Casting, curing, and testing of a reinforced concrete beam for stress, strain, and deflection. Casting, curing, and strength testing of a reinforced concrete column. Deflection testing of a steel beam. Buckling of slender steel columns. Vibrations of a steel beam and a steel frame. Control of deflections through bracing and stiffeners. Impact testing of laminated glazing panels. The course will consist of 3-hr weekly laboratory sessions for 15 weeks.

    3 Credits. Prerequisites: This course is open to third-year architecture and third-year civil engineering students. Art students and engineering students of majors other than civil engineering require permission of instructor.

  • CE/EID 390

    Introduction to Sustainable Design

    Sustainable design minimizes the impact on the environment by site planning and design, energy and water conservation and interior environmental quality. This course will focus on the design of a prototype structure using sun, light, air, renewable materials, geological systems, hydrological systems and green roofing. Each student will develop a project outlined by the U.S. Green Building = Council rating system known as LEED. The six areas that will be developed to design the project are: sustainable sites, water efficiency, energy and atmosphere, material and resources, indoor environmental quality and innovative design process. Class time is separated into a series of lectures, private consultations and student presentations.

    3 credits. Prerequisite: ESC 140, CE 122 or ME 100 and permission of instructor

Civil Engineering - Graduate

  • CE 414

    Solid Waste Management

    Engineering aspects of solid waste collection, transport and disposal, including sanitary landfill design, incineration, composting, recovery and re-utilization of resources. Optimization techniques of facility-siting and collection route selection and economic evaluation of factors affecting selection of disposal methods.

    3 credits. Prerequisite: permission of instructor

  • CE 422

    Finite Element Methods (same as EID 422)

    Shape functions and generalized displacements. Assemblage of elements. Convergence criteria.Triangular, rectangular and quadrilateral elements in plane stress and plane strain. Isoparametric formulations.General solids. Hexahedral and tetrahedral elements. Flexure in plates.General shells. Natural coordinates.Computer programs.

    3 credits. Prerequisite: CE 122 or ME 100

  • CE 424

    Plates and Shells

    Discretized grid-work and grillage analysis by matrix techniques. Development of the classical thin plate theory. Mathematical and numerical solutions of the plate equation. Introduction to thin shell theory. Practical applications such as cylindrical shell roofs, spherical shell with an edge ring and various cases of shells of revolution.

    3 credits. Prerequisite: CE 122

  • CE 425/EID 425

    Structural Dynamics

    Dynamic behavior and design of structures subjected to time-dependent loads. Included in the load systems are earthquakes, blasts, wind and vehicles.Shock spectra and pressure impulse curves. Special applications in blast mitigation design.

    3 credits. Prerequisite: CE 122

  • CE 426

    Advanced Structural Design

    Discussion of principal design codes (AISC, ACI and AASHTO) as they relate to ASCE Standards, the International Building Code (IAC) and NYC Building codes Advanced materials behavior. Strength and serviceability requirements. Design of composite girders and slabs. Limit state response and formation of plastic hinges in steel and concrete structures. Structural upgrade and retrofit of existing structures.

    3 credits. Prerequisite or corequisite: CE 341

  • CE 427

    Behavior and Design of Prestressed Concrete Structures

    Behavior and design of prestressed members in flexure, shear, bond and torsion; continuous beams; columns; prestressed systems; loss of prestress. Emphasis is placed on ultimate strength design and the background of latest ACI code.

    3 credits. Prerequisite: CE 341

  • CE 431

    Advanced Foundation Engineering

    Analysis and design of foundations subjected to vibratory loading, beamson elastic foundation (vertical subgrade modulus), laterally loaded piles (with software applications), Wave Equation Analysis of Piles (with software application of WEAP).

    3 credits. Prerequisites: CE 131 and permission of instructor

  • CE 432

    Special Topics in Lateral Earth Pressure and Retaining Structures

    Analysis and design of cellular cofferdams, reinforced earth-retaining structures, slurry walls and retaining structures subjected to earthquake loading, soil nailing.

    3 credits. Prerequisites: CE 131 and permission of instructor

  • CE 433

    Advanced Topics in Geotechnical Engineering I

    Analysis of slopes using translatory slides and available software packages (PCSTABL). Ground improvement technologies: including dynamic compaction, grouting, ground freezing and reinforced earth technologies.

    3 credits. Prerequisite: permission of instructor

  • CE 434

    Advanced Topics in Geotechnical Engineering II

    Stresses in homogeneous and layered systems due to surface and buried loads. Development of flow network concepts and the Terzaghi one dimensional consolidation theory, secondary consolidation, site preloading, sand drains and prefabricated vertical drains.

    3 credits. Prerequisite: permission of instructor

  • CE 436

    Forensic Geotechnical Engineering

    Types of damage-architectural, functional and structural. Investigate problems the forensic geotechnical engineer encounters: settlement of structures, damage to soil expansion, lateral movement of buildings, damage due to seismic energy of earthquakes, slope erosion, deterioration due to sulfate attack and frost, seepage. Development of repair recommendations and the presentations of case studies.

    3credits. Prerequisite CE131 or permission of instructor

  • CE 440

    Industrial Waste Treatment Design

    Integrated lecture and design periods that cover the sources of industrial wastewaters, their quantities and characteristics, and their treatability by physical, chemical and biological processes. Status of regulations involving categorical standards, local and state industrial pretreatment programs, NPDES permits, etc. Problems and solutions involved in combining municipal and industrial waste treatment. Case studies.

    3 credits. Prerequisite: permission of instructor

  • CE 441

    Water and Wastewater Technology

    Wastewater sources and estimates of domestic, commercial and industrial flows. Integrated lecture and design periods that cover unit processes for water and wastewater treatment. Design projects include hydraulic and process design of oxidation ponds, screening, grit removal, sedimentation tanks, secondary biological treatment,other physicochemical processes and outfall design.

    3 credits. Prerequisite: permission of instructor

  • CE 442

    Open Channel Hydraulics

    Derivation of the general one dimensional equations of continuity, momentum and energy used in open channel flow analysis. Steady uniform flow and boundary resistance. Steady nonuniform flows, channel transitions and controls, hydraulic jumps, surges, surface curves for gradually varied flow including the effects of lateral inflow. Unsteady flow in open channels. Dynamic waves, method of characteristics, surge formation. Kinematic waves, flood routing and overland flow. Design of channels and other hydraulic structures.

    3 credits. Prerequisite: CE 142

  • CE 444


    Hydrology of the water cycle related to air mass movement, precipitations, evaporation, stream flow, floods, infiltration and groundwater including statistical hydrology. Design of irrigation systems.

    3 credits. Prerequisite: CE 142

  • CE 446

    Pollution Prevention or Minimization

    Introduction to the new concept and regulations in the U.S. and Canada of Pollution Prevention or Waste Minimization for managing hazardous pollution and protecting the environment and public health. Methodology of conducting environmental audits and lessons learned from successful pollution prevention programs. Case studies of various programs in industry, etc.

    3 credits. Prerequisite: permission of instructor

  • CE 447

    Stream and Estuary Pollution

    Application of basic concepts of fluidkinetics and dynamics to the analysis of dispersal and decay of contaminants introduced into lakes, streams, estuaries and oceans. Analysis and modeling of leachate and other contaminants into groundwater.

    3 credits. Prerequisite: CE 142

  • CE 448

    Environmental and Sanitary Engineering (same as EID 448)

    Engineering (same as EID 448) Topics include types of environmental pollution and their effects; water quality standards and introduction to laboratory analyses of water quality parameters; sources and estimates of water and wastewater flows; physicochemical unit treatment processes. Integrated lecture and design periods cover water supply network, wastewater collection system and water treatment design projects.

    3 credits. Prerequisite: permission of instructor

  • CE 449

    Hazardous Waste Management

    Definition and characteristics of hazardous wastes. Generation, transport, treatment, storage and disposal of hazardous wastes. Leachate characteristics and management. Treatment technologies. Monitoring and safety considerations. Obligations under Resource Conservation and Recovery Act (RCRA) and Comprehensive Environmental Response, Compensation and Liability Act (CERCLA). Field trips.

    3 credits. Prerequisite: permission of instructor

  • CE 450

    Civil Engineering Construction

    Preparation of plans and specifications.The bidding and award process. Contractual relations between the owner and the contractor. Preparation of cost estimate for a competitively bid project. Preparation of a progress chart and critical path. Sequencing various job elements. Engineering the actual construction. Management of labor. Interlacing with the community. Environmental requirements. Job safety. Changes and unanticipated conditions. Contract disputes and their resolutions.

    3 credits. Prerequisite: CE 341

  • CE 460

    Innovations in Urban Infrastructure Design

    Innovations in the design, delivery, monitoring and rehabilitation of urban infrastructure. Recent advances in methods and technologies such as remote sensing, visualization, data acquisition systems, non-destructive testing, data mining, geographica linformation systems (GIS), and building information modeling (BIM). Emphasis will be placed on applications relating to real-world projects in large urban centers in the United States and the world.

    3 credits. Prerequisite: CE 121 or ME 101

  • CE 470

    Urban Security

    Design of urban systems to protect against terrorism. Analysis of blast loads. Blast mitigation design considerations. Technology transfer:military/defense to civilian sector. Response spectra. Pressure-Impulse Curves. Stand off distances. Blast mitigation measures for buildings, bridges and tunnels. Prevention of progressive collapse in tall buildings. Design of glazing. Retrofit upgrade of existing urban infrastructure.Proposed changes in New York City Building Code to protect against terrorism. Insurance issues forcommercial buildings.

    3 credits. Prerequisites: CE 122 or ME 101 and permission of instructor

  • CE 481

    Bridge Engineering

    Codes and Applicability. General forms and components- trusses, segmental, cable-stayed and suspension. Primary loads and load combinations. Serviceability vs. strength. Consideration of extreme events. Design of superstructures-deck design, girder design, floor-beam design. Design of substructures-piers, abutments, frames and foundations. Scour and other adverse considerations. Wind, seismic and pushover analyses. Bearings, expansion joints and barriers.

    3 credits. Prerequisite CE 122 or permission of instructor.

  • CE 482

    Resilient Civil Infrastructure

    Hazard mitigation including quantification of resilience. Multi-scale and/or multi-hazard risk assessement.  Smart/adaptive systems to protect against natural and human-created hazards.  Predictive science toward forecasting infrastructure response to climate change or extreme events. Development of frameworks for optimization of infrastructure networks. Complex systems approaches to the analysis of the interconnected nature of civil infrastructure and its interdependencies.

    3 Credits. Prerequisite: permission of instructor

  • CE 483

    Building Information Modeling

    Introduction to Building Information Modeling (BIM). Generation and management of digital representations of physical and functional characteristics of a facility. Extensive use of BIM as a shared knowledge resource among the various stakeholders to support decision-making about a facility from earliest conceptual stages, through design and construction, and through its operational life and eventual demolition.

    3 credits. Prerequisite: permission of instructor

  • CE 484

    Civil Engineering Project Management

    This course provides an overview of the guiding principles of civil engineering project management. Five groups of project management processes will be considered: initiating, planning, executing, monitoring and controlling, and closing. The focus will be on developing the core competencies and skill sets required for planning and controlling civil engineering projects and understanding interpersonal issues that drive successful project outcomes. 

    3 credits. Prerequisite: Permission of instructor

  • CE 485

    Green Sustainable Cities

    Design and modeling of green streets green walls, green roofs, blue roofs, and green parking lots; concepts and practical considerations. Study of evapotranspiration, radiation, and drainage of vegetative systems. Sustainable management and reuse considerations of urban storm water; sustainable and positive environmental impact design concepts. Management and reuse/recycle considerations for urban gray water. Examples of international projects and case studies. Team design projects with class powerpoint presentations.

    3 Credits. Prerequisite: permission of instructor

  • CE 486

    Urban Megaprojects and Environmental Impacts

    The political embrace of city competition internationally has combined with the globalization of banking, real estate development, and architecture to make Urban Megaprojects seemingly inevitable. With the world economy slowed, it is time to delve into the motivation for and consequences (including environmental impacts) of the now-ubiquitous and globally-entrenched Urban Megaprojects. The aim of this course is to understand the causes and consequences of new scales and forms of territorial restructuring in a steadily globalizing world by focusing on Urban Megaproject development. Case studies from cities such as Bilbao, Budapest, Abu Dhabi, New York, Paris, Sao Paulo, Shanghai, Detroit, Philadelphia, and Mexico City will be presented in an interdisciplinary approach including sociology, planning, architecture, and environmental impacts. Individual term papers on case studies will be presented to class with powerpoint.

    3 credits. Prerequisite: instructor's approval

  • CE 487

    Alternative Energy Projects

    The design parameters and pros and cons of all types of alternative energy production systems currently in use around the world will be presented. Concepts, practical considerations, environmental impacts, and economics will be evaluated. Alternative energy production systems such as solar, wind power, geothermal, hydropower, pumped storage, industrial growth of algae for biodiesel, will be examined and cade studies from around the world will be presented. Individual term papers on case studies will be presented to class by powerpoint.

    3 credits. Prerequisite: instructor's approval

  • CE 499


    Master's candidates are required to conduct, under the guidance of a faculty adviser, an original investigation of a problem in civil engineering, individually or in a group, and to submit a written thesis describing the results of the work.

    6 credits for full year

Electrical and Computer Engineering - Undergraduate

  • ECE 110

    MATLAB Seminar: Signals & Systems

    A weekly hands-on, interactive seminar that introduces students to MATLAB, in general, and the Signal Processing Toolbox in particular. Students explore scientific computation and scientific visualization with MATLAB. Concepts of signal processing and system analysis that are presented in ECE 111or other introductory courses on the subject are reinforced through a variety of demonstrations and exercises. It is strongly encouraged for students taking a first course in signals and systems, or for students expecting to use MATLAB in projects or courses.

    0 credits.

  • ECE 111

    Signal Processing & Systems Analysis

    A presentation of signals and systems that does not rely on prior knowledge of electrical circuits or differential equations. Sine waves, phasors, continuous-time and discrete-time signals, sampling. Starting from elementary discrete-time systems (FIR filters), and moving on to more complex systems (IIR digital filters and analog filters), concepts such as impulse response, convolution, frequency response, transfer functions (ztransform and Laplace transform) are presented. Block and signal-flow diagrams. Linearity, causality, timeinvariance, stability. Feedback: openloop and closed-loop gain. Transient response, poles and zeros. Vector spaces of signals, Fourier analysis, modulated signals, random signals. Examples include speech and audio signals, communication and control systems. Extensive use of MATLAB.

    3 credits. Prerequisite: Ma 113; corequisite: ECE 110

  • ECE 140

    Circuit Analysis

    Circuit components, dependent and independent sources, Kirchhoff's laws, loop and nodal analysis. Superposition, Thevenin and Norton equivalent circuits, and other techniques for circuit simplification. Time-domain analysis of RLC circuits, initial conditions, transient response and steady-state. Phasor analysis, complex power. Ideal op-amps.

    3 credits. Prerequisite: Ma 113. Ma 240 is a suggested corequisite

  • ECE 141

    Electronics I

    Semiconductor physics: band theory, carrier distributions and transport mechanisms. PN-junctions, PN junction devices. Diode circuits. BJTs: current relationships, operating region. Biasing circuits, DC Analysis; small-signal models, AC analysis. BJT amplifier configurations.

    3 credits. Prerequisite: ECE 140

  • ECE 142

    Electronics II

    MOS circuits: DC operation and analysis. Single stage MOS amplifiers, circuit design, DC and small signal analysis. Cascode amplifier. Current mirrors, active loads. BJT and MOS differential amplifiers. Monolithic operational amplifiers. Output stages. Frequency response. Introduction to feedback theory, amplifier topologies. Circuit design and analysis are supplemented with industry standard CAD software.

    3 credits. Prerequisites: ECE 141 and ECE 111

  • ECE 150

    Digital Logic Design

    Theoretical and practical issues concerning design with combinational and sequential logic circuits, and programmable logic devices. Number systems, Boolean algebra, representation and simplification o fBoolean functions, universal logic families. Finite-state machines, state tables and state diagrams, flip-flops, counters, registers. Adders, decoders, comparators, multiplexers, memories and applications. Programmable devices: PLA, PLD, etc. Principles of analog circuits are presented in the context of real world problems, such as 'glitches,' power and ground bounce, contact bounce, tri-state logic and bus interfacing, timing circuits, asynchronous versus synchronous circuit components. Characterization of electronic and logical properties of digital circuits. Course work involves individual and team projects in which: digital circuits are designed and prototypes are constructed and tested on breadboards; designs involving programmable logic devices are developed using CAD tools. The projects, approximately 50 percent of the course grade, are used to assess technical writing, oral presentation, teamwork and project management skills.

    3 credits. Prerequisites: none. Non-refundable materials fee: $40

  • ECE 151

    Computer Architecture

    Introduction to the design of computers and computer systems. Topics include: integer and floating-point representations and operations: ALU design; von Neumann and Harvard architectures; accumulator, general purpose register and stack-based processor design; RISC and CISC architectures; addressing modes; vector operations; microprogrammed and hard-wired controllers; machine language and assembly language programming; static and dynamics memory operation, timing and interfacing; cache; virtual memory; I/O systems: bus design and data transfer, DMA; interrupts and interrupt handling, polling; disk operation and organization; pipelined processor design. The course has a substantial project component that includes assembly language programming and the design and construction of systems that contain microcontrollers, programmable logic, and a variety of I/O devices.

    3 credits. Prerequisite: ECE 150. Non-refundable materials fee: $40

  • ECE 161

    Programming Languages

    Examination of the fundamental concepts of practical programming languages, focusing on C and C++ but including additional languages. Topics include binary representations of numbers, operators, static and dynamic memory allocation, arrays, strings, structures, flow control, file I/O, stacks, queues, lists, activation records and recursion. Object oriented programming concepts covered include classes, encapsulation, information hiding, operator and function overloading, constructors, destructors, inheritance and polymorphism.

    3 credits. Prerequisite: CS 102

  • ECE 164

    Data Structures & Algorithms I

    An introduction to fundamental data structures and algorithms, with an emphasis on practical implementation issues and good programming methodology. Topics include lists, stacks, queues, trees, hash tables and sorting algorithms. Also an introduction to analysis of algorithms with big-O notation. Assignments include programming projects and problem sets.

    2 credits. Prerequisite: ECE 161

  • ECE 165

    Data Structures & Algorithms II

    A continuation of ECE 164, also with an emphasis on practical implementation issues and good programming methodology. Topics include graphs, graph-related algorithms and dynamic programming techniques. Also an introduction to some advanced topics such as Turing machines, computability and NP-complete systems. Assignments include programming projects and problem sets.

    2 credits. Prerequisite: ECE 164

  • ECE 193

    Electrical & Computer Engineering Projects I

    An introduction to laboratory techniques for electrical and computer engineering. Topics include the use of electronic test equipment (e.g., DVM, oscilloscope, curve tracer, spectrum analyzer); circuit analysis, design and simulation; and the use of discrete and integrated electronic components and circuits. Several projects/experiments of limited scope reinforce concepts learned in previous courses and provide an understanding of the fundamental building blocks employed in the more advanced designs in successive projects courses. Students regularly give oral presentations and demonstrate laboratory proficiency through in-class demonstrations and concise, formal technical reports.

    1.5 credits. Prerequisites: ECE 111, ECE 141, ECE 150. Co-requisite: ECE142. Non-refundable materials fee: $40

  • ECE 194

    Electrical & Computer Engineering Projects II

    Principles learned in ECE 193 are applied to the design, construction and characterization of electrical and computer engineering projects of significant complexity. Assignments typically involve both analog and digital design, and students are free to pursue any solution that satisfies the engineering requirements and meets with the instructor's approval. Formal and informal lectures are given on safety, circuit operation and design, and construction techniques; participation in design reviews and technical reports.

    4 credits. Prerequisite: ECE 193. Non-refundable materials fee: $40

  • ECE 195

    Electrical & Computer Engineering Projects III

    ECE 195 and ECE 196 constitute the year-long senior design project. Students work in small groups on projects chosen with the advice and consent of the faculty adviser. Projects may be oriented towards research or product development, and may be in any area of electrical and computer engineering, such as in: computer engineering, signal processing (imaging, sensor arrays, multimedia), telecommunications, computer networks, microwaves, optics, advanced electronics, VLSI chip design, or an interdisciplinary area such as robotics or bioengineering. Students perform all aspects of project management, such as scheduling, budgeting, system design and developing milestones, as well as technical work including hardware and software implementation, testing and performance evaluation. Students also give several spontaneous and rehearsed oral presentations and prepare written reports. Students attend weekly lectures covering: social, economic, legal and ethical issues; safety and laboratory practice; design methodologies; technical writing; preparation of multimedia presentations and tailoring presentations to target audiences.

    4 credits. Prerequisite: ECE 194. Non-refundable materials fee: $40

  • ECE 196

    Electrical & Computer Engineering Projects IV

    This course concludes the senior project begun in ECE 195. Students submit two complete theses, one in short form and the other in long form, and give at least two presentations,one short and one long. The initial goal is to a achieve a functioning system. Afterwards, students undertake the completion of the prototyping cycle, which may involve improving the circuit implementation (such as by employing PCBs populated with surface mount chips), adding a user-friendly interface, obtaining precise performance evaluations, or developing demonstrations and a user's manual. Advanced students are strongly encouraged to complete their project early and commence a master's thesis.

    3 credits. Prerequisite: ECE 195. Non-refundable materials fee: $40

  • ECE 300 (Formerly ECE101)

    Communication Theory

    Information theory: entropy, information, channel capacity, rate distortion functions, theoretical limits to data transmission and compression. Error control coding: block, cyclic and convolutional codes, Viterbi algorithm.Baseband and bandpass signals, signal constellations, noise and channel models. Analog and digital modulation formats (amplitude, phase and frequency), MAP and ML receivers, ISIand equalization. Coherent and noncoherent detection, carrier recovery and synchronization. Performance:computation of SNR, BER, power and bandwidth requirements. TDMA, FDMA, CDMA.

    3 credits. Prerequisites: Ma 224 and ECE 111

  • ECE 302

    Probability Models & Stochastic Processes

    Topics in probability, random variables and stochastic processes applied to the fields of electrical and computer engineering. Probability, events, random variables, expectation, moments, characteristic functions, conditional probability and expectation. Functions of random variables, random vectors, Gausian random vectors, Poisson points. Bounding and limit theorems. Relations among important distributions and probability models.Stochastic processes: stationarity, ergodicity, Brownian motion, Markov processes. Deterministic systems with stochastic inputs, correlation and power spectral density, ARMA models. Hilbert space and applications: orthogonality principle, discrete Wiener and Kalman filters, linear prediction, lattice filters.

    3 credits. Prerequisites: Ma 224 and ECE 101 or ECE 114 or permission of instructor

  • ECE 303 (Formerly ECE103)

    Communication Networks

    Analysis and design of communication networks. Network protocols, architecture, security, privacy, routing and congestion control, Internet, local area networks, wireless networks, multimedia services. Physical layer, multiple access techniques, transport layer. Introduction to probabilistic and stochastic analytic techniques for communication networks.

    3 credits. Prerequisites: ECE 150 and Ma 224

  • ECE 305

    Computer Security

    This course covers attack and defense perspectives of applied information security. Topics will include networked and embedded applications, access controls systems and their failure modes, privilege escalation, case studies and some applied cryptography. Safe practices and OS flaw mitigation will be reinforced through security sensitive programming projects. Coursework will include penetration testing, code auditing and independent programming projects using professional auditing frameworks.

    3 credits. Prerequisite: CS 102

  • ECE 310 (Formerly ECE114)

    Digital Signal Processing

    Review of Laplace and z-transforms. Minimum-phase and all-pass functions. Multidimensional signals, systems and Fourier analysis. Analog filter design, digital IIR and FIR filter design. Sampling, multirate systems and filterbanks, A/D and D/A converter models. Discrete-time state-space. Filter structures, quantization effects and design to mitigate quantization effects. DFT and FFT. Spectral analysis of deterministic and random signals. Introduction to adaptive filters. Differential coding, transform coding. Speech, audio and video signals. Extensive use of MATLAB.

    3 credits. Prerequisites: Ma 240 and ECE 111

  • ECE 311

    Modern DSP Hardware

    Advanced modern digital signal processors-algorithm design and implementation for parallel and reconfigurable hardware platforms.Systems to be studied include FPGAs, multi-core processors, GPUs. HDL, validation and performance evaluation. A wide variety of target applications will be considered, selected according to student and instructor interest.

    3 credits. Prerequisites: ECE 114 and ECE 151

  • ECE 313

    Music & Engineering

    Spectral representation and analysis of music. Analog and digital music signals, instruments and synthesizers, analog circuits and digital processing. Description of musical quality and perception, introduction to acoustics, stereo and special effects. Computer interfacing with MIDI and laboratory experiments.

    3 credits. Prerequisites: ECE 111 and ECE 150

  • ECE 314

    Audio Engineering Projects

    An introduction to design, implementation, fabrication and modification of musical and audio electronics and hardware in a laboratory environment. Projects will include analog and digital signal processing for audio signals, with focus on implementation of real-time algorithms in hardware. Additional projects will include design and implementation of electro-mechanical systems and transducers for audio input / output / display. Formal and informal lectures will include examples drawn from standard implementations, safety concerns, audio specific design and construction techniques; participation in oral presentations and technical reports will be required.

    3 credits. Prerequisites: ECE 141 and ECE 151, or ME 151 and ME 153

  • ECE 320 (Formerly ECE121)

    Control Systems

    Block and signal-flow diagrams, Mason's theorem. Laplace transform ,frequency response, Bode plots, root locus, Routh-Hurwitz array. Analysis of feedback control systems: open-loopand closed-loop gain, Nichols chart, Nyquist diagram, gain and phase margin. Continuous-time state-space analysis, state-variable feedback, canonical forms, observability and controllability. Second-order models, transient and steady-state performance. Emphasis on analog systems, although digital control systems will be discussed as time allows. Extensive use of MATLAB.

    3 credits. Prerequisites: Ma 240 and ECE 111

  • ECE 321

    Control Systems Design

    Control system design using Bodeplots, Nichols chart, root locus. Design by pole placement, Ackermann's formula, state-variable feedback. Cascade compensation, minor-loop feedback. Controller and estimator design, regulator systems, systems with a reference input. Introduction to digital control: hybrid analog-digital control systems, sampled-data systems, digital extensions of Bodeplots and root locus, Ragazzini's method. Extensive use of MATLAB.

    3 credits. Prerequisite: ECE 121

  • ECE 323

    Embedded System Design

    Hardware and software design for embedded systems. SBC and microcontroller architectures, A/D andD/A conversion, signal conditioning, interfacing and controlling electronic and electro-mechanical systems. Assembly language and high-level language programming, efficient use of computational and physical resources, considerations for speed and robustness, debugging methods, use of simulators and in-circuit emulators.The course is project-based, andstudents are required to design and construct an embedded system.

    3 credits. Prerequisites: ECE 121 and ECE 151

  • ECE 332 (Formerly ECE132)

    Electro-Mechanical Energy Conversion

    Analysis of energy sources and energy converters. Principles of electro-mechanical energy conversion; singly and multiply excited systems; rotating and linear machines; three phase circuits; magnetic circuits and transformers; torque and induced voltage from field considerations; synchronous machines; induction motors; DC machines. Introductionto power electronics. Applications including high-speed transportation, energy storage and interconnection of distant generating stations.

    3 credits. Prerequisites: ESC 120 or ECE 141 and Ph 213

  • ECE 335 (Formerly ECE135)

    Engineering Electromagnetics

    This course emphasizes time-varying fields, with topics presented from electrostatics and magnetostatics as necessary. Maxwell's equations, constitutive relations, phasor vector fields, wave and Helmholtz equations, potentials, boundary conditions. Planewaves in lossless and lossy materials, polarization, incidence. Transmission lines: transient analysis, TDR, phasoranalysis, standing wave diagrams, Smith chart, impedance matching. Guided waves: TEM, TE and TM modes, dispersion, evanescence, cavity resonators. Microwave network analysis and device characterization with scattering parameters. Antennas, antenna arrays and Fourier optics. Additional topics from microwaves and optics will be covered as time allows. Students use a vector network analyzer to perform measurements at high frequencies.

    4 credits. Prerequisites: Ma 223, Ph 213, ECE 140 and ECE 111

  • ECE 341

    Integrated Circuit Engineering

    Feedback theory, frequency compensation. Integrated circuit fabrication and technology. Device modeling, thermal effects. VLSI CAD design tools. Circuit layout, extraction and simulation. Design and analysis of multistage MOS operational amplifiers, OTA architectures. Nonlinear circuits, comparators. Analog switches. Digital phase-locked loops. Sample and hold circuits. Data converter architectures.Switched capacitor circuits. Bandga preference circuits. MOST digital circuit design and layout, hierarchical approaches. Final design project is a mixed analog/digital circuit (e.g., FlashA/D converter, phase-locked loop), which is sent for fabrication.

    3 credits. Prerequisite: ECE 142

  • ECE 343

    Bio-instrumentation and Sensing

    The basic human vital signs and some related elementary physiology viewed from an engineering standpoint with special emphasis placed upon current electronic measurement methods. Electrocardiographic and electromyographic signals. Safety problems related to electrical isolation. Guarded, fully isolated, modulated carrier operational amplifiers and microvolt-level amplification. Solid-state 'grain of wheat' pressure sensors, microelectrodes, thermal probes, ultrasonic transducers and other biosignal sensors. Course work includes instrumentation and sensing projects.

    3 credits. Prerequisites: ECE 114 and ECE 142

  • ECE 357

    Computer Operating Systems

    Theory and implementation of modern computer operating systems. Message based and multiprocessor kernels. Networking and interprocess communication. Security, auditing and authentication. Device drivers, interrupt handling, task switching, virtual memory, memory management, scheduling, synchronization and locking. File systems, resource allocation and management. Real-time, fault-tolerant and high security operating systems. User environment and interface issues. Projects in operating system design and programming, case studies.

    3 credits. Prerequisites: ECE 151 and ECE 161

  • ECE 361

    Software Engineering & Large Systems Design

    This course teaches about the development stages of large, robust, expandable software systems developed as part of a team. Topics include project management, capturing requirements, system design, UML, program design, testing, delivery and maintenance. The class will develop a large project as a team using Java throughout the semester. Tools, libraries and techniques necessary for the project will be covered in class,e.g., Eclipse, Javadoc, XML, SOAP, servlets, threads and processes, Swing, JUnit, mySQL, JDBC, etc. The specific resources might change from semester to semester.

    3 credits. Prerequisite: ECE 165

  • ECE 391

    Research Problem

    An elective course open to qualified upper division students. Students may approach an EE faculty member and apply to carry out research on problems of mutual interest in theoretical or applied electrical and computer engineering. Student performs creative work with faculty guidance.

    3 credits. Prerequisite: Instructor approval

  • ECE 392

    Research Problem II (continuation of ECE 391)

    3 credits. Prerequisite: instructor approval

  • ECE 399

    Selected Topics in Electrical & Computer Engineering

    Subjects may include seminars on topics related to advances in technology, current research areas. Also individual research, design and development or study of subjects in electrical and computer engineering.

    1-3 credits. Prerequisite: permission of instructor

Electrical and Computer Engineering - Graduate

  • ECE 401

    Selected Topics in Communication Theory

    Advanced topics in communications engineering, selected according to student and instructor interest.

    3 credits. Prerequisites: ECE 101 and permission of instructor

  • ECE 402

    Selected Topics in Probability & Stochastic Processes

    Advanced topics in applied probability or stochastic processes. Possible areasof study include: Markov processes, queuing theory, information theory, stochastic systems, financial engineering.

    1-3 credits. Prerequisite: ECE 302 or permission of instructor

  • ECE 404

    Communication Coding

    Exploration of error control coding algorithms and techniques ranging from traditional block and convolutional codes to modern near-Shannon capacity Turbo and LDPC codes. Survey of topics from abstract algebra: groups, cosets, polynomials, finite fields. Block codes: cyclic, BCH, RS codes and LDPC. Convolutional and trellis codes: Viterbi algorithm, MAP and SOVA decoders. Trellis coded modulation. Turbo codes. Performance of error detection and correction schemes in both hard-decision and soft-decision decoding environments. Extensive use of MATLAB. Efficient realizations of encoders and decoders.

    3 credits. Prerequisite: ECE101.

  • ECE 405

    Advanced Digital Communications

    Advanced digital modulation including formats with memory, continuous phaseand constant-envelope schemes.Performance analysis for AWGN and other channels. Multitone and multicarrier communications. Spread spectrum with applications to multiple access schemes and secure communications. CDMA: PN sequence generation and properties, multi user detection. Additional topics as time permits.

    3 credits. Prerequisites: ECE 101 and ECE 302

  • ECE 407

    Wireless System Design

    Hands-on exposure to the design and implementation of modern digital communication systems using software-defined radio (SDR) technology. The prototyping and realtime experimentation of these systems via SDR will enable greater flexibility in the assessment of design trade-offs as well as the illustration of 'realworld' operational behavior. Laboratory modules for performance comparisons with quantitative analytical techniques will be conducted in order to reinforce digital communication system design concepts. A large course project consisting of original research will be required. Course topics include SDR architectures and implementations, digital signaling and data transmission analysis in noise, digital receiver structures (matched filtering, correlation), multicarrier communication techniques, radio frequency spectrum sensing and identification (energy detection, matched filtering), and fundamentals of radio resource management.

    3 credits. Prerequisites: ECE 114 and ECE 101

  • ECE 408

    Wireless Communications

    Survey of cellular mobile radio systems and formats, including market trendsand technological advances. The emphasis is on CDMA and 3G systems,and emerging schemes such as WiFi networks, although TDMA systems will be discussed as well. Propagation and multipath fading channel models and simulation. Cellular system capacity, traffic models, multiple-access techniques, hand off and power control algorithms. Modulation formats, detection schemes and performance. Mitigating fading: pulse shaping, DFE, MLSE (Viterbi). DSP algorithms for baseband processing.

    3 credits. Prerequisite: ECE 101

  • ECE 410

    Radar & Sensor Array Processing

    Terminology and system overview for modern radar and sensor array systems; antenna parameters; radar signals and waveforms; Doppler processing; detection; synthetic aperture imaging (SAR); beam forming and space-time array processing (STAP); adaptive methods; additional topics may be covered according to student and instructor interest. Computer simulations and readings in the technical literature.

    3 credits. Prerequisites: ECE 101 and ECE 114

  • ECE 411

    Selected Topics in Signal Processing

    Advanced topics in signal processing selected according to student and instructor interest.

    3 credits. Prerequisites: ECE 114 and permission of instructor

  • ECE 414

    Machine Learning

    Machine learning of structural relationships among variables from empirical data. Decision theory, Bayesian methods. Classification: naïve Bayes, linear discriminant analysis, support vector machines (SVM), boosting. Regression: leastsquares, regularization methods, logistic regression. Clustering using kmeans and EM algorithms. Model selection: bias-variance tradeoff, crossvalidation, over-fitting. Feature selection and dimensionality reduction methods including PCA, ICA, MDS. Kernel methods. Other topics may be covered as time permits.

    3 credits. Prerequisities: Ma 224 and ECE 114

  • ECE 415

    Wavelets and Multiresolution Imaging (same as MA 415)

    Wavelets and multiresolution signal processing with an emphasis on 2Dand 3D cases. STFT, wavelet analysis, wavelet packets, DWT. Multirate filterbanks, PR and paraunitary conditions, multidimensional filters, multidimensional sampling lattices. Bases, frames and sparse representations. Image and video applications such as: compression, noise reduction, tomography and other inverse problems, hyperspectral imaging, compressive sensing. Coursework includes MATLAB projects and readings in the technical literature.

    3 credits. Prerequisites: ECE 114 and MA 326 or permission of instructor

  • ECE 416

    Adaptive Filters

    Statistical signal processing theory: discrete-time Wiener and Kalmanfilters, linear prediction, steepest descent and stochastic gradient. LMS, normalized LMS, LS, RLS, QR-RLS, order-recursive algorithms. Applications include equalization, noise cancellation, system identification, sensor array processing. Numerical linear algebra: eigenanalysis, SVD, matrix factorizations. Transversal filters, lattice filters, systolic arrays. Performance: convergence, learning curves, misadjustment, tracking in nonstationary environments. Additional topics such as adaptive IIR filters, neural networks and quantization effects may be covered as time allows. Extensive use of MATLAB.

    3 credits. Prerequisite: ECE 114 or permission of instructor

  • ECE 417

    Design for Custom DSP Hardware

    Design of programmable and custom digital signal processors, and realization of DSP algorithms in specialized architectures. Features of programmable DSPs such as data stationary and time-stationary coding, MAC and ACS ALUs, circular buffers.Very Long Instruction Word (VLIW) processors. Applications of graph theory and passivity theory to map DSPalgorithms to custom structures: SFGs, DFGs, retiming, folding and unfolding, lattice and orthogonal filters, scheduling and allocation, systolic architectures. Optimization with respect to number of hardware units, speed (sample period and latency), VLSI area, power consumption and performance (quantization effects). Special CAD tools and languages for rapid prototyping. Case studies and programming exercises.

    3 credits. Prerequisites: ECE 114 and ECE 151

  • ECE 418

    Digital Video

    Digital video coding, compression, processing and communications. Target applications from low bit-rate, low quality to high bit-rate, high quality. Two- and three-dimensional sampling, color spaces, motion representation. Motion estimation: optical flow, blockmatching; constrained optimization: Bayesian methods, simulated annealing, Gibbs random fields. Mathematical basis for compression standards such as JPEG and MPEG, and digital television including HDTV. Rate-distortion based compression for optimal bit allocation via dynamic programming (Viterbi algorithm). Scalability in multimedia systems.

    3 credits. Prerequisite: ECE 114

  • ECE 421

    Advanced Control System Design

    Design of control systems using two degrees of freedom and PID compensators. Ackermann's formula, H-infinity control theory and applications. Analysis and design for nonlinear systems using describing function, state-variables, Lyapunov's stability criterion and Popov's method. Introduction to optimal control theory (dynamic programming). Design problems and extensive use of MATLAB.

    3 credits. Prerequisites: ECE 114 and ECE 121

  • ECE 425

    Digital Control Systems

    Basic components of digitally controlled dynamic systems. Sampling and reconstruction: the ideal sampler, zero and higher order hold elements.The pulse transfer function and the ztransfer function description of dynamic systems. Stability criterion and analysis by the Nyquist, root locus and Bode methods. The modified Routh-Hurwitz and Jury stability criteria. The state-variable approach: state equations of dynamic systems with sample and hold devices, state equations of systems with all-digital elements. Digital simulation and approximation. Controllability, observability and stability. State and output feedback, state observers and the separation principle. Digital control system design by state feedback.

    3 credits. Prerequisite: ECE 121

  • ECE 431

    Microwave Engineering

    Passive circuits, open-boundary waveguides, perturbation theory, coupled modes, waveguide junctions, microstrip. Two- and three-terminal devices; varactor diodes, Gunn diodes; IMPATT and MESFET technology. Design of RF amplifiers and phaseshifters.Computer-aided simulation and design.

    3 credits. Prerequisite: ECE 135

  • ECE 433

    Optical Communications

    PIN, avalanche and Schottky photodiodes; risetime, noise, amplifier requirements. Semiconductor optical devices: radiative and non-radiative recombination, quaternary semiconductors, heterojunctions, quantum wells, bandwidth minimization, lasers, distributed feedback, vertical cavity structures. Internal and external modulation, electro-optic modulators, Stark effect. Optical fibers: mode structure, attenuation, dispersion, PM fibers, WDM. System architecture, analog/digital communications, terabit datalinks. Solitons.

    3 credits. Prerequisites: ECE 142 and ECE 135

  • ECE 434


    Electrical behavior of cellular membranes. Ion transport, electrochemical equilibrium, applications of circuit and cable theory, Hodgkin-Huxley model, resting and action potentials. Generation and propagation of signals within the nervous system and the heart. Case studies and consideration of topics of current research interest, such as: developmental biology, regenerative medicine, neural prostheses, tissue engineering.

    3 credits. Prerequisites: ECE 141 or ESC 120, PH 213

  • ECE 441

    Digital Integrated Circuit Engineering

    Design of static and dynamic CMOS combinational logic gates, layout and simulation. Standard cell construction. Sequential logic systems-registers, latches, clocks. Design of arithmetic building blocks, ALU, multipliers. Memory circuits and organization. FPGAs. System design-hardware description languages, floor planning, system architecture. A major component of the course is the design and fabrication of an ASIC using a variety of VLSI CAD tools.

    3 credits. Prerequisite: ECE 341

  • ECE 442

    Communication Electronics

    Circuit design for advanced communications applications. Design of high-frequency amplifiers, oscillators and mixers using large signal analysis. Effects of noise and non-linearities are examined from the diode and transistor level to board level. Communication subsystems of interest include phase locked loops, modulators and demodulators (AM, PM FM), and signal processors for multiple access systems(TDMA, FDMA, CDMA). Course work includes computer-aided simulation and design projects.

    3 credits. Prerequisites: ECE 101, ECE 135 and ECE 142

  • ECE 443

    Thin-Film Electronics

    Properties of polycrystalline,amorphous, liquid and organic semiconductors. Methods of deposition: vacuum and nonvacuum techniques, epitaxial and non epitaxial growth. Assessment of thin film semiconductors: structural, optical, electrical. Thin film semiconductor devices: transistors, displays, photovoltaics, flexible conductors.Optical coatings and architectural applications. Thin film superconductors: metallic, allow and high Tc, fabrication and assessment. Superconducting devices: Cooper pairs, Josephson junctions, SQUIDS, Josephson computers.

    3 credits. Prerequisite: ECE 142

  • ECE 445

    Design with Operational Amplifiers

    Analysis and design of operational amplifier circuits with various applications, including amplifiers, filters, comparators, signal generators, D/A and A/D converters and phaselocked loops. Introduction to issues such as static and dynamic limitations, noise and stability. Use of industry standard CAD software.

    3 credits. Prerequisite: ECE 142

  • ECE 446

    Low-Voltage, Low-Power Electronic Circuit Design

    The physics and modeling of submicron MOS transistors for analog and digital circuit design. Circuit techniques for the design of low-power, low-voltage digital combinatorial logic, multipliers, memory and system design. Circuit techniques for the low-power, low voltage analog circuits including the design of low-voltage constant g_m differential amplifiers. The use of switched capacitor circuits for analog signal processing. The course will culminate with the design and simulation of a low-voltage low-power mixed signal circuit.

    3 credits. Prerequisites: ECE 142, ECE 341 or permission of instructor

  • ECE 453

    Advanced Computer Architecture

    This course studies modern, advanced techniques used to design and produce current, state-of-the-art computer architectures. Technology, performance and price. The quantitative principle and Amdahl's law. Instruction sets; addressing modes, operands and opcodes; encoding instruction sets. RISC versus CISC architectures; MIPS. Pipelining; the classic five-stage pipeline, hazards, exceptions, floating point operations. Advanced pipelining techniques: dynamic scheduling, branch prediction. Multiple issue, speculation. Limits of parallelism. Compiler support for parallelism, VLIW. Caches. Examination of modern processors.

    3 credits. Prerequisite: ECE 151

  • ECE 460

    Selected Topics in Computer Engineering

    Advanced topics in computer hardware or software engineering selected according to student and instructor interest. Prerequisites will depend onthe topics to be covered.

    3 credits. Prerequisite: permission of instructor

  • ECE 462

    Interactive Engineering Graphics

    Graphical primitives, windows, clipping and viewports. Two- and three dimensional geometric transformations and translations; rotation, pan and zoom. Hidden line and surface removal. Region filling and shading. The architecture of high performance graphical engines. Representing lighting, shading and textures. Rendering. Rotation. GUIs. Animation. Course work includes design projects.

    3 credits. Prerequisites: ECE 151 and ECE 165

  • ECE 464


    Engineering and design of databases. Topics to be covered may include: data models, database and scheme design; schema normalization and integrity constraints; query processing and optimization; distributed and parallel databases; SQL and XML.

    3 credits. Prerequisite: ECE 165

  • ECE 465

    Cloud Computing

    Critical, foundational technology components that enable cloud computing, and the engineering advancements that have led to today’s ecosystem. Students design, build and test representational software units that implement different distributed computing components. Multi-threaded programming in Java. Functional programming (MapReduce). Hadoop: a programmer’s perspective; building and configuring clusters; Flume as an input engine to collect data; Mahout as a machine learning system to perform categorization, classification and recommendation; Zookeeper for systems coordination.

    3 credits. Prerequisites: ECE151, ECE164.

  • ECE 466


    The theory, design and implementation of a practical compiler. Finite automata, LL and LR parsing, attribute grammars, syntax-directed translation, symbol tables and scopes, type systems and representations, abstract syntax trees, intermediate representation, basic blocks, data and control flow optimizations, assembly language generation including register and instruction selection. Students apply tools such as Flex and Bison to writing a functional compiler for a subset of a real programming language such as C.

    3 credits. Prerequisites: ECE 151 and ECE 165

  • ECE 467

    Natural Language Processing

    This course focuses on computational applications involving the processing of written or spoken human languages. Content may vary from year to year. Theoretical subtopics will likely include word statistics, formal and natural language grammars, computational linguistics, hidden Markov models, and various machine learning methods. Applications covered will likely include information retrieval, information extraction, text categorization, question answering, summarization, machine translation and speechr ecognition. Course work includes programming projects and tests.

    3 credits. Prerequisite: ECE 165

  • ECE 468

    Computer Vision

    Visual perception and imaging geometry. Pixels, pixel neighborhoods and pixel connectivity. Image transforms: Fourier, Hadamard, Walsh, Discrete Cosine, Haar, Slant and others. Techniques for image manipulation and enhancement in both the frequency and spatial domains. Histogram equalization, image subtraction and local averaging. Filtering, homomorphic methods. Color models and use of monochrome techniques on RGB channels. Image restoration: camera movement cancellation, scratch removal. Image compression techniques, lossy and lossless. Image segmentation, edge detection, edge linking, boundary detection; region growing, splitting and merging. Image representation as a hierarchical collection of objects, chain codes, Fourier descriptors. Object recognition, signatures.

    3 credits. Prerequisites: ECE 111, ECE 151 and ECE 161

  • ECE 469

    Artificial Intelligence

    This course covers many subtopicsof AI, focusing on a few important subtopics in detail. The "intelligent agent" approach is explained and forms a foundation for the rest of the course. Intelligent search: uninformed search, depth-first search, breadth-first search, iterative deepening; informed search, best-first search, A*, heuristics, hill climbing; constraint satisfaction problems; intelligent game playing, minimax search, alpha-beta pruning. Machine learning: probability, Bayesian learning; decision trees; statistical machine learning, neural networks, Naive Bayes, k-nearest neighbors, support vector machines. Natural language processing: syntax, semantics and pragmatics; real-world knowledge; parsing; statistical NLP. Philosophy of AI: AI and consciousness, the Turing test, the Chinese room experiment. Coursework includes two large individual programming projects.

    3 credits. Prerequisite: ECE 165

  • ECE 491

    Selected Topics in Electrical & Computer Engineering

    Subjects may include study in electrical and computer engineering, or seminars on topics related to advances in technology. This course may not be used to expand the number of credits of thesis, or cover material related to the thesis.

    1-3 credits. Prerequisite: permission of instructor

  • ECE 499


    Master's candidates are required to conduct, under the guidance of a faculty adviser, an original individual investigation of a problem in electrical and computer engineering and to submit a written thesis describing the results of the work.

    6 credits over 1 year

Mechanical Engineering - Undergraduate

  • ME 100

    Stress and Applied Elasticity

    Three-dimensional theory of elasticity; state of stress, state of strain, elastic stress-strain relations. Applications include elementary three-dimensional problems, plane stress and plane strain, Saint Venant's long cylinder, beams and plates. Computer-aided design projects.

    3 credits. Prerequisite: ESC 101

  • ME 101

    Mechanical Vibrations

    Mechanical systems with single and multiple degrees of freedom longitudinal, torsional and lateral vibrations; free and forced oscillations; vibration testing, dynamic stability, vibration isolation, design criteria. Computer-aided design assignments.

    3 credits. Prerequisites: ESC 101 and Ma 240

  • ME 105

    Drawing and Sketching for Engineers (same as EID 105)

  • ME 130

    Advanced Thermodynamics

    Equations of state; properties of pure substances; ideal and real gas and gas vapor mixture properties, fundamental process and cycle analysis of ideal and real systems; modern gas and vapor power cycles and refrigeration cycles. Computer applications to problem solving.

    3 credits. Prerequisite: ESC 130

  • ME 131

    Energetics (same as EID 131)

    Current and near-term energy sources, including coal, oil, natural gas, nuclear fission, hydroelectric, oil shale and refuse. Description of contemporary methods of energy conversion including conventional utility power plants and nuclear power plants. Introduction to direct energy conversion; magnetohydrodynamics, fuel cells, thermionic and thermoelectric. Design of the thermodynamic operation of a steam power plant.

    3 credits. Prerequisite: ESC 130

  • ME 142

    Heat Transfer: Fundamentals and Design Applications

    One-dimensional steady-state conduction. Two-dimensional steady state conduction and transient conduction: finite-difference equations and computational solution methods. Convection; introduction to laminar and turbulent viscous flows; external and internal forced convection problems, including exact and numerical solution techniques; free convection. Introduction to radiation heat transfer and multimode problems. Open-ended design projects will include application to fins, heat exchangers, tube banks and radiation enclosures and will make use of computer-aided design techniques.

    3 credits. Prerequisite: ESC 140

  • ME 151

    Feedback Control Systems

    Modeling and representation of dynamic physical systems: transfer functions, block diagrams, state equations, and transient response. Principles of feedback control and linear analysis including root locus and frequency response methods. Practical applications and computer simulations using MATLAB. Discussions of ethics will be integrated into the curriculum.

    3 credits. Prerequisites: Ma 240 and ESC 161

  • ME 153

    Mechatronics (same as EID 153)

    Topics include computer architecture, PIC processor overview, dynamic modeling, sensors, data acquisition, digital PID control theory, and utilization of assembly language to code the controller. Students will design, build and test a controller board and present a final prototype of a control system. Engineering economics will be introduces and integrated into the final project.

    Prerequisite: ME 151 or ECE 121 or ChE 152

  • ME 155

    Design and Prototyping

    A mechanical engineering hands-on workshop geared towards the understanding and practice of basic engineering design and fabricationtools. Topics include hand tools, simplemachining, mold making, casting, materials, fasteners, adhesives, and finishes. 3-D digitizing, solid modeling, rapid prototyping and computer interfacing will also be presented. Team projects will familiarize the students with typical tools and processes employed in realizing a design concept, from sketch to functional prototype. Each student will participate in and contribute to the team-learning and creation process.

    2 credits. Prerequisites: EID 101 and EID 103

  • ME 160

    Engineering Experimentation

    Election, calibration and use of subsystems for the measurement of mechanical, thermal/fluid and electrical phenomena. Laboratory work includes investigations of heat exchangers, fluid systems and internal combustion engines. Emphasis is placed on data collection and statistical reduction, computational methods and written and oral presentation skills.

    3 credits. Prerequisites: none

  • ME 163

    Mechanical Engineering Projects

    Original investigations, involving design and experimental work which allow the application of engineering sciences to the analysis and synthesis of devices or systems and permit the deepening of experience in engineering decision making. Projects are carried out in small groups and are supervised by the instructor in accordance with professional practice.

    3 credits. Prerequisite: permission of instructor

  • ME 164

    Capstone Senior ME Design

    The application of open-ended design work to the synthesis of engineering devices and systems for the satisfaction of a specified need. Consideration of market requirements, production costs, safety and esthetics. Projects are carried out in small groups and are supervised by the instructor in accordance with professional practice. The goal of the course is to create a working design, clearly defined in drawings and specifications.

    3 credits. Prerequisite or corequisite: ME 163

  • ME 312

    Manufacture Engineering (same as EID 312)

    Study of metal processing theory and application with emphasis on casting, machining, and metal deformation processes; plastic forming; special processing techniques; work-holder design principles. Specific are as studied include stages of processing, mathematical modeling of processes, equipment determination, relationship of plant layout, tooling, metrology, and product design to product cost.

    3 credits. Prerequisites: ME 142 and ME 155

  • ME 322 (Formerly ME141)

    Fundamentals of Aerodynamics

    Study of incompressible potential flow around bodies of aerodynamic interest, by the use of equations of motion, method of singularities and conformal transformation. Investigation of experimental results and techniques. Consideration of the effects of viscosity and transition from laminar to turbulent flow. A design-oriented project, usually involving application of computer methods, will be required.

    3 credits. Prerequisite: ESC 140

  • ME 324 (Formerly ME300)

    Space Dynamics

    Fundamental principles of advanced dynamics; kinematics, transformation or coordinates; particle and rigid body dynamics. Application to space problems; satellite orbits; gyro-dynamics, space vehicle motion; performance and optimization. Generalized theories of mechanics; virtual work, D'Alembert's principle; Lagrange's equation; Hamilton's principle.

    3 credits. Prerequisite: ESC 100

  • ME 330

    Internal Combustion Engine Design

    A broad analytical and experimental review of the governing parameters involved in piston engine design and optimization. Thermodynamics, fluid mechanics, heat transfer, combustion, emissions, thermochemistry, dynamic and static loading, and fuel efficiency, as they apply to different engine cycles and types, are covered. Varied research examples from industry, government, and academia, with particular emphasis on automotive engine design, are analyzed from first principles. Students develop hands-on learning skills through computational and experimental assignments.

    3 credits. Prerequisite: ME 130

  • ME 336 (Formerly ME120)

    Design Elements

    Application of the principles of mechanics to the design of basic machine elements; study of components subjected to static, impact and fatigue loading; influence of stress concentration; deflection of statically determinate and indeterminate structures by the energy method. Design projects apply basic criteria to the design of shafts, springs, screws and various frictional elements; design projects make use of computer, experimental and modeling techniques.

    3 credits. Prerequisite: ME 100

  • ME 338 (Formerly ME320)

    Mechanical Design

    Mechanical design of basic transmission elements; design optimization by blending fundamental principles and engineering judgment; design criteria for the various frictional machine elements. Design projects provide authentic involvement in problems from industry; design projects make use of computer, experimental and modeling techniques.

    3 credits. Prerequisite: ME 120

  • ME 350

    Introduction to Industrial Design

    The collaborative relationship between art, engineering and industrial design,academically and professionally, is a pivotal relationship in the development of new ideas. This course serves as an introduction to the world of industrial design and its wide-ranging applications. The students will learn about the history of design and design concepts and methodology through lectures, discussions, and small projects; and will explore, develop, and execute a term design as part of a class project as the course progresses. The main goals of this course are to develop a better understanding of the perspective of an industrial designer and to gain experience in the practice of industrial design.

    3 credits. Prerequisite: ME155 or Instructor’s Permission

  • ME 363-364

    Selected Topics in Mechanical Engineering

    This course will deal with current technological developments in various fields of mechanical engineering. Projects and design will be emphasized.

    3 credits each. Prerequisite: ME faculty permission

  • ME 365

    Mechanical Engineering Research Problem

    An elective course available to qualified students. Students may elect to consult with an ME faculty member and apply to carry out independent research on problems of mutual interest in theoretical or applied mechanical engineering.

    3 credits. Prerequisites: ME faculty permission and senior standing. May be repeated

Mechanical Engineering - Graduate

  • ME 401

    Advanced Mechanical Vibrations

    Combined analytical and experimenta lapproach to mechanical vibration issues; characterization of the dynamic behavior of a structure in terms of its modal parameters; digital data acquisition and signal processing; experimental modal analysis procedures and excitation techniques; extraction of modal parameters from measured frequency response functions. Students will acquire hands on experience with impact hammer and shaker data acquisition and analysis.

    3 credits. Prerequisite: ME 101

  • ME 405

    Automotive Engineering Fundamentals

    An introductory course in modern automotive design, covering aspects of prime movers, aerodynamics, brakes, tires, steering, transmission, suspension and handling, chassis and advanced hybrid powertrain concepts. Simulations and physical prototyping give students a hands-on approach to the design, optimization, fabrication and testing of various vehicle subsystems in a team-based learning environment.

    3 credits. Prerequisite: ME 130 or permission of instructor

  • ME 407

    Introduction to Computational Fluid Dynamics

    The need for and applications of computational fluid dynamics (CFD). Introduction to CFD analysis and commercially available codes. Governing equations and numerical solution methodologies for basic fluid flow systems. Geometric modeling and grid generation. Examination of various physical models. Use of a commercial CFD code.

    3 credits. Prerequisite: ESC 140

  • ME 408

    Introduction to Computer Aided Engineering (CAE)

    Theory and practical applications of computer aided engineering methodologies, and use of multiphysics software, in mechanical engineering practices. Topics include principal modeling and solution techniques, computational geometry applications, modeling of mechanical engineering problems, and non-linear and dynamic problem solving. Students use typical commercial software packages to work on practical case studies.

    3 credits. Prerequisite: ME 100

  • ME 412

    Autonomous Mobile Robots

    This course introduces basic concepts, technologies, and limitations of autonomous mobile robots. Topics include digital and analog I/O, tactile sensing, IR sensing and range finding, light sensing, sonar, magnetic field sensing, encoders, DC motor actuators, servo motor actuators, high-level microprocessor control, low-level microprocessor control, power management, and prototyping.Students will form teams to design and build autonomous mobile robots configured to compete with each other in a singles-match game, or to perform a team-oriented task.

    3 credits. Prerequisite: ME 153 or ECE 151

  • ME 413

    Microelectromechanical Systems (MEMS)

    Advances in the design, fabrication, analysis and control of mircoelectromechanical systems (MEMS) have positioned MEMS at the forefront of high-value, cutting-edge technologies. The scope of this course covers both the fundamental and advanced aspects of MEMS. Topics include introduction to MEMS, materials and fabrication processes, sensors and actuators, microfluidics, scaling principles, device concepts and system design. MEMS processing simulation and modeling, testing and packaging of MEMS will also be presented. Furthermore, exposure to basic MEMS processing and clean room protocol will be included.

    3 credits. Prerequisite: ESC 110 or ESC 110.1

  • ME 415

    Introduction to Nanotechnology

    Understanding and control of matter at dimensions in the range from one to100 nanometers for novel applications are the main objectives of nanotechnology. The scope of this course encompasses nanoscale science and engineering. Typical topics will include the unique properties of some nanometer scale materials, processiong and fabrication technologies for nanomaterials, imaging, measuring, modeling and manipulating matter at this length scale. In addition, laboratory demonstrations on nanomaterials processing, nanoarchitecturing and self-assembling of nanostructures will be included.

    3 credits. Prerequisite: ESC 110 or ESC 110.1

  • ME 430

    Thermodynamics of Special Systems (same as EID 430 and ChE 430)

    3 credits. Prerequisite: ME 130

  • ME 432

    Introduction to Nuclear Power Plant Technology

    Nuclear power provides a high potential form of alternative energy, with significant safety constraints. The course centers on the study of a typical US commercial nuclear power plant its design philosophy and analysis of nuclear steam supply system and balance of plant systems (including heat exchangers, pumps, relief valves, etc.) for normal operation and steady state and transient accident analysis, and longer term spent fuel storage. The course utilizes disciplines/methods of thermodynamics, heat transfer and fluid flow, and plant drawings and data. Analysis includes Three Mile Island Accident, a small break loss-of-coolant accident. When feasible, this course includes a tour of an operating nuclear power plant.

    3 credits. Prerequisites: ESC 130 and ESC 140

  • ME 434

    Special Topics In Combustion (same as ChE 434)

    Analysis of diffusion and premixed flame processes, including droplet and particle flames, combustion in sprays, chemical reactions in boundary layers, combustion instability in liquid and solid rocket engines and gas burner flames. Consideration of ignition and quenching processes and flammability limits.

    3 credits. Prerequisite: Either ME 130 or ESC 170.

  • ME 440

    Advanced Fluid Mechanics (same as EID 440 and ChE 440)

    3 credits. Prerequisites: ESC 140 and permission of instructor

  • ME 458

    Industrial Robots (same as EID 458)

    Basic concepts, techniques, and limitations of modern industrial robots; industrial automation; robot programming languages; definition and description of a robot work space; application of transform and operator matrices in industrial robotics. Student projects include computer programming of forward and inverse kinematics, and application programming with an industrial robot.

    3 credits. Prerequisite: ME 151

  • ME 493-494

    Selected Advanced Topics in Mechanical Engineering

    These courses will deal with current advanced technological developments in various fields of mechanical engineering. Projects and design will be emphasized.

    3 credits. Prerequisites: ME faculty permission and graduate standing

  • ME 499


    Master's candidates are required to conduct, under the guidance of a faculty adviser, an original investigation of a problem in mechanical engineering, individually or in a group and to submit a written thesis describing the results of the work.

    6 credits for full year

Engineering Sciences - Undergraduate

  • ESC 000.1-000.4

    Engineering Professional Development Seminars

    The Engineering Professional Seminars and Workshops offer students an introduction to the profession of engineering as well as deal with their development as students. The Cooper Union's CONNECT program is an integral part of these courses and provides intensive training in effective communications skills. A wide range of topics is covered in addition to communications skills including ethics, environmental awareness, life-long learning, career development, conflict resolution, entrepreneurship, marketing, work-place issues, team dynamics, professional licensure and organizational psychology.

    Each successfully completed semester of ESC 000 will be noted on the student's external transcript. Failure to participate in ESC 000, or failure to successfully complete one or more semesters of the program will not be noted on any external transcript (such as is provided to employers or graduate schools)

  • ESC 100

    Engineering Mechanics

    Equivalent system of forces, distributed forces; forces in structure; friction forces. Particle and rigid body mechanics; kinematics, kinetics. Newton's laws of motion; work and energy; impulse and momentum.

    3 credits. Prerequisite: Ph 112

  • ESC 101

    Mechanics of Materials

    Introduction to solid mechanics; analysis of stress and deformation. Extension; flexure; torsion. Axisymmetric problems, beam theory elastic stability, yield and failure theory.

    3 credits. Prerequisite: ESC 100

  • ESC 110

    Materials Science

    The objective of this course is to promote an understanding of the relationship between the molecular structure of a material and its physical properties. Topics include bonding in atoms and molecules, crystallinity, metals and alloys, polymers, mechanical properties of inorganic materials and composite materials.

    3 credits. Prerequisites: none

  • ESC 110.1

    Materials Science for Chemical Engineers

    Understanding relationships among atomic or molecular structures, physical properties and performances of substances. Bonding, crystallinity, metals, alloys and polymers. Mechanical properties of inorganic and composite materials. Selection of materials for process equipment design, its effect on economics. Design concerning effect of corrosion and its prevention.

    3 credits. Prerequisites: ESC 100

  • ESC 120

    Principles of Electrical Engineering

    Survey of Electrical Engineering for the non-major. Signal and circuit analysis, DC and AC circuits, transients, frequency response and filters, power systems. Additional topics may be covered as time permits.

    3 credits. Prerequisite: Ma 113

  • ESC 121

    Basic Principles of Electrical Engineering

    Selection of topics from ESC 120. This class meets with ESC 120 for the first ten (10) weeks.

    2 credits. Prerequisite: Ma 113

  • ESC 130

    Engineering Thermodynamics

    Rigorous development of the basic principles of classical thermodynamics. Zeroth, first and second laws of thermo-dynamics and their applications to open and closed systems. Analysis of thermodynamic processes, properties of real substances and thermodynamic diagrams.

    3 credits. Prerequisites: none

  • ESC 130.1

    Chemical Engineering Thermodynamics

    First law of thermodynamics for closed systems; perfect gasses, 2- and 3-phase systems of one component; transient and steady state analyses using the first law of thermodynamics for open systems; second law of thermo-dynamics; introduction to concepts of entropy. Gibbs free energy and Helmholtz free energy; derivation and application of equations describing the auxiliiary thermodynamic functions and conditions of equilibrium in imperfect gasses.

    3 credits. Prerequisites: Ch 160 and ESC 170

  • ESC 140

    Fluid Mechanics and Flow Systems

    Introductory concepts of fluid mechanics and fluid statics. Development and applications of differential forms of basic equations. Dynamics of inviscid and viscous fluids, flow measurement and dimensional analysis with applications in fluid dynamics. Friction loss and friction factor correlation; design of piping systems.

    3 credits.

  • ESC 161

    Systems Engineering

    An introductory course to the mathematical modeling of systems.Topics include mechanical elements and systems, electric circuits and analogous systems, fluid elements and systems, analysis of systems using transfer functions, state spac eequations, analog simulation and digital simulation. Also covered are block diagrams, Laplace transforms, and linear system analysis. Computer projects will be assigned that will use MATLAB software.

    3 credits. Prerequisites: Ma 240.

  • ESC 170

    Material and Energy Balances

    Introduction to the analysis of chemical process systems, using material and energy conservation equations. Estimation of thermodynamics and thermochemical properties of real fluids for engineering calculations. Numerical methods and their implementation on the digital computer for solution of chemical engineering problems.

    3 credits. Prerequisite: Ch 160

Interdisciplinary Engineering - Undergraduate

  • EID 101

    Engineering Design and Problem Solving

    Students work on cutting-edge, exploratory design projects in interdisciplinary groups of 20 to 25. Each project has an industrial sponsor/partner who is available for student/faculty consultation and support. Oral and visual presentations as well as formal written reports are required for all projects. Professional competencies, teamwork, human values and social concerns are stressed in the engineering design.

    3 credits. Prerequisites: none

  • EID 103

    Principles of Design

    This course is designed to introduce students from all disciplines to theconcepts of rational design. It is open to first-year students and sophomores. In the first part of the course students will learn by hands-on experience the importance of giving attention at the design stage to consideration of accessibility, repair, replacement, choice of materials, recycling, safety, etc. Students will develop the ability to make observations and record them in suitable form for further analysis of the design process. From this, concepts of 'good' design will be developed, and students will be introduced to the formal design axioms and principles.This will lead to the second part of the course which will consist of a comprehensive, realistic design problem. Creativity, intuition and cultivation of engineering 'common sense' will be fostered within the framework of design principles and axioms. The course will constitute a direct introduction to the disciplines in their interdisciplinary context.

    3 credits. Prerequisite: EID 101

  • EID 105

    Drawing and Sketching for Engineers (same as ME 105)

    This course introduces engineering students to the fundamentals of freehand drawing and sketching with an emphasis on the interpretation and communication of insights, concepts and dimensioned solutions. Drawings and sketches are often the first steps in innovative engineering solutions and invention. The primary goal of this course is to provide a comprehensive foundation in traditional drawing and sketching methods for engineers.

    2 credits. Prerequisites: none

  • EID 110

    Engineering Design Graphics

    3D Design is the main focus of this class. First, students use AutoCAD to create 3D Models and learn the AutoCAD tools necessary to design & present their AutoCAD Model. Next, we look at Building Information Modeling (BIM) and become familiar with the Revit Structure & Architecture tools essential for 3D modeling. In class, students create a Structural Model & an Architectural Model. At the end of the semester, a Final Independent Design Project is presented by each student using the Revit Modeling program.

    3 credits. Prerequisite: EID 101.

  • EID 120

    Foundations of Bioengineering

    An introduction to the engineering study of biological systems. Basic physiochemical and organization principles applicable to biologica lsystems. Topics include membrane structure and function, physiology of the circulatory system, and an introduction to biorheology and biological transport phenomena.

    3 credits. Prerequisite: Ch 160

  • EID 121

    Biotransport Phenomena

    Engineering principles are used to mathematically model momentum, heat and mass transfer processes that occur in biological systems. After a general introduction to human anatomy and physiology, topics examined include blood rheology, circulatory system fluid dynamics, whole body heat transfer, vascular heat transfer, oxygen transport in tissue and blood, pharmacokinetics and the design of an artificial kidney (hemodialysis).

    3 credits. Prerequisite: junior standing

  • EID 122


    A study of both natural and synthetic materials, especially those for orthopaedic applications. Mechanical properties, design considerations, biocompatibility, potential for allergic response and carcinogenic ramifications, mechanical compatibility and effects of long-term implantation. Metallics, ceramics and polymers. Relative advantages and disadvantagesof various materials. Materials for cardiovascular applications. Corrosion and chemical degradation.

    3 credits. Prerequisite: permission of instructor

  • EID 124

    Injury Biomechanics and Safety Design

    Frequency and severity of common injuries. Mechanisms of musculoskeletal, soft tissue and brain injuries. Injury criteria, reference values and their role in safety design. Experimental and computational methods for safety design and acciden treconstruction. Automotive safety. Biomechanical test dummies. Seatbelts, airbags, and energy absorbing structures and materials. Repetitive stress injuries and occupational health. Government regulation and legal liability. Expert witness practice and qualifications.

    3 credits. Prerequisites: ESC 100 and ESC 110

  • EID 125


    An in-depth treatment of orthopaedic biomechanics, including freebody analysis applied to the musculoskeletal system, applied statics, dynamics and kinematics. Clinical problems relating to biomechanics. Lubrication theory applied to hard and soft tissues. Mechanical testing of tissue, including both static tests and dynamics tests.Tensor treatment of kinematic motions. Extensive reference to current literature. Muscle function, evaluation and testing. Exploration of the concepts of development of muscular power, work and fatigue.

    3 credits. Prerequisites: ESC 100 and permission of instructor

  • EID 131

    Energetics (same as ME 131)

    3 credits. Prerequisite: ESC 130

  • EID 140

    Environmental Systems Engineering (same as CE 141)

    3 credits. Prerequisite: permission of instructor

  • EID 142

    Water Resources Engineering (same as CE 142)

    4.5 credits (3 hours of lecture, 3 hours of laboratory). Prerequisite: ESC 140

  • EID 153

    Mechatronics (same as ME 153)

  • EID 160

    Acoustics, Noise and Vibration Control

    Interdisciplinary overview of acoustics and its applications in industrial and environmental noise control, acoustics of buildings, vibration systems and control. Topics include: sound levels, decibels and directivity, hearing, hearing loss and psychological effect of noise, noise control criteria and regulations, instrumentation, source of noise, room acoustics, acoustics of walls, enclosures and barriers, acoustics materials and structures, vibration control systems; design projects.

    3 credits. Prerequisite: permission of instructor

  • EID 170

    Engineering Economy

    Comparison of alternatives in monetary terms; meaning and use of interest rates; results evaluation including intangibles; risk in alternatives; principles underlying the determination of economic life; depreciation and depreciation accounting; financing business ventures; financial statement analysis; replacement of capital assets.

    3 credits. Prerequisite: Ma 113

  • EID 176

    Legal and Ethical Aspects of Engineering

    A survey of the courts and their jurisdiction; civil and criminal law; equity jurisprudence; expert witness, contracts and the importance of business law to the engineer. Other topics include patents, trademarks and copyrights; product liability; unfair competition; professional ethics and professional advancement.

    3 credits. Prerequisites: none

  • EID 300

    Special Research Project

    Students will work on individual projects in engineering under supervision of faculty. Problems will vary according to individual interest. Permission to register is required from the Office of the Dean of Engineering. Students on academic probation are ineligible for registration.

    3–6 credits. Prerequisite: permission of Faculty and Dean's office

  • EID 312

    Manufacturing Engineering (same as ME 312)

    3 credits. Prerequisite: EID 101

  • EID 320

    Special Topics in Bioengineering

    Seminars on topics of current interest in biotechnology.

    3 credits. Prerequisites: a basic understanding of engineering mechanics and materials and permission of instructor. May be repeated

  • EID 325

    Science and Application of Bioengineering Technology

    The overall purpose of the course is to provide the student with a genera loverview of the scope of bioengineering. The major areas in the course are design in biomedical engineering, tissue engineering, medical imaging, cardiovascular, vision, rehabilitation, masculaskeletalsystem, robotic surgery and medical business.

    3 credits. Prerequisite: permission of instructor

  • EID 327

    Tissue Engineering

    Tissue Engineering involves the application of engineering and the life sciences to gain a fundamental understanding of structure-function relationships in normal and pathological tissues and the development of biological substitutes to restore, maintain or improve tissue functions. This course will provide an introduction to the science, methods and applications of tissue engineering. Topics include quantitative cell biology, tissue characterization, engineering design and clinical implementation.

    3 credits. Prerequisites: working knowledge of engineering fundamentals, senior standing or instructor approval

  • EID 357

    Sustainable Engineering and Development

    Sustainable engineering is examined, starting with an analysis of resources, (materials, energy, water) upon which manufacturing is based. Each resource is critically examined in terms of its availability and form and the ultimate impact of its usage on the state of theplanet. A comparison of the design and construction of contemporary and primitive structure is used to illustrate the differences between the required infrastructure and environmental footprint, leading to a definition of 'green' design. The technologies required to support contemporary lifestyles in the developed and the developing world are discussed within the context of manufacturing techniques, usage of natural resources and the generation of waste. Workshops, guest lectures and a term project incorporating the concepts of minimalism, materials usage, and aesthetic design are used to present students with a unique perspective engineering.

    3 credits. Prerequisite: material covered in core engineering science and mathematics in Freshman and Sophomore years

  • EID 362

    Interdisciplinary Senior Project I

    Individual or group design projects in interdisciplinary areas of engineering.These projects are based on the interest of the students and must have the approval of their adviser(s) and course instructor. Periodic and final engineering reports and formal presentations are required for all projects. In addition to technical aspects projects must also address some of the following: economic feasibility environmental impact social impact, ethics, reliability and safety.

    3 or 4 credits. Prerequisite: students are required to have completed necessary preparatory engineering courses related to the project topic

  • EID 363

    Interdisciplinary Senior Project II Continuation of EID 362

    3 or 4 credits. Prerequisite: EID 362

  • EID 364

    Interdisciplinary Engineering Research Problem

    An elective course, available to qualified upper division students. Students may approach a faculty mentor and apply to carry out independent or group projects in interdisciplinary fields.

    3 credits. Prerequisite: permission of advisor and appropriate Department Chair.

  • EID 365

    Engineering and Entrepreneurship

    Students will learn the fundamentals of being an entrepreneur and operating a successful business. From its original idea to the open market, students wil lchoose an engineering related project or service and learn the principles of accounting, marketing, managing, financing, and continuing research. Students are required to choose their own service or product and write a business plan as their final project. Lectures include case studies on the various projects and guest speakers from the industry. Readings include articles from journals and textbooks.

    3 credits. Prerequisite: EID 101

  • EID 370

    Engineering Management

    An exploration of the theories and techniques of management beginning with the classical models of management and continuing through to Japanese and American contemporary models. The course is specifically directed to those circumstances and techniques appropriate to the management of engineering. Lecture, discussion and case studies will be used.

    3 credits. Prerequisite: permission of instructor

  • EID 372

    Global Perspectives in Technology Management

    Current global political, social and economic developments and future trends as they relate to technology management are discussed. Students learn to address issues of international technology transfer, multinational sourcing, quality control, diverse staff management, environmental considerations, etc. Working in teams on case studies and projects, students learn to conduct international negotiations and develop solutions to complex business problems. Special emphasis is placed on team cooperation and personal leadership.Oral presentations and written reports are required.

    3 credits. Prerequisite: EID 101

  • EID 373

    Patent Law

    In this course a student will study patent law in detail: the requirements for obtaining a patent ('utility, novelty and non-obviousness'); 'trade secrets' as an alternative to patent protection; computer software and 'business methods' as patentable subject matter. The class will focus on the theoretical (patent cases from the U.S. Supreme Court and the Federal Court, the patent statute, 35 U.S.C.) and the practical (analysis of issued patents; individual and group exercises in drafting and critiquing patent claims, familiarity with the Manual of Patent Examining Procedure). The course is open to juniors, seniors, graduate students and faculty.

    3 credits. Prerequisite: permission of instructor

  • EID 374

    Business Economics

    In this course, the class will carry out a real-time forecast of the U.S. economy and explore its implications for the bond and stock markets. The course will build upon principles of both macro- and micro-economics. It will provide an introduction to the work done by business economists and the techniques they use. Students will become familiar with the database looking for relationships between key economic variables, and studying movements in interest rates over the period 1960-present. The class will be divided into teams of two students with each team choosing a particular aspect of the economy to forecast. The class will also work with various leading indicators of economic activity and will prepare forecasts of the key components of gross domestic product and other important variables. A formal presentation of the economic with invited guests from the Wall Street investment world will take place. To put forecasting exercise in context, there will be class discussions of business cycles, credit cycles, long waves in inflation and interest rates and the impact of the Internet on the economy and the stock market.

    3 credits. Prerequisite: either S 334, S 347, EID 170 or permission of instructor

  • EID 376

    Economics of Alternative Energy

    The goal of this course is to explore the economics of alternative energy technologies. As always, engineering considerations determine the feasibility of any technology while economics determine the practicality of the technology in the likely environment of the next five years. The students participating in this course will explore a wide range of alternative energy technologies. It is expected that their analyses will combine both economic and engineering principles in an interesting and creative way. Each student will choose a particular technology to analyze in depth: wind, solarphotovoltaic, passive solar, geothermal, bio-fuels, etc. There will be periodic presentations of their work to the class as a whole. One goal of these class discussions will be to highlight the advantages and disadvantages of the various technologies. At the end of the semester, there will be a formal presentation of the students’ conclusions to an audience of Cooper faculty, industry experts and Wall Street analysts.

    3 credits. Prerequisite: EID 170, EID 374, or permission of the instructor

Interdisciplinary Engineering - Graduate

  • EID 414

    Solid Waste Management (same as CE 414)

    3 credits. Prerequisite: permission of instructor

  • EID 422

    Finite Element Methods (same as CE 422)

    Shape functions and generalized displacements. Assemblage of elements, Convergence criteria. Triangular, rectangular and quadrilateral elements in plane stress and strain. Isoparamentric formulations. General Solids. Hexahedral and tetrahedral elements. Flexure in plates. General solids. Natural Coordinates. Special applications in blast mitigation design. Computer codes.

    3 credits. Prerequisite: CE 122 or ME 100

  • EID 424

    Bioengineering Applications in Sports Medicine

    Application of engineering principles to athletic performance and injury. Topics include athletic training; mechanical causes of sport injuries; methods of injury prevention; design of protective and prophylactic sport devices; proper application of wound dressing, taping and bandaging; first aid for musculoskeletal sports injuries and healing and rehabilitation. Students will work in teams on case studies and projects.

    3 credits. Prerequisite: permission of instructor

  • EID 430

    Thermodynamics of Special Systems (same as ChE 430 and ME 430)

    Thermodynamic analyses of solid systems undergoing elastic strain and of magnetic, electric and biological systems. Equations of state for these and other fluid and non-fluid systems.Thermodynamics of low temperature systems. Recent advances in obtaining real fluid and solid properties.

    3 credits. Prerequisite: ChE 131 or ME 130

  • EID 438

    Industrial Waste Treatment Design (same as CE 440)

    3 credits. Prerequisite: permission of instructor

  • EID 439

    Water and Wastewater Technology (same as CE 441)

    3 credits. Prerequisite: permission of instructor

  • EID 440

    Advanced Fluid Mechanics (same as ChE 440 and ME 440)

    Introduction to the fundamental constitutive relations and conservation laws of fluid mechanics. Steady and transient velocity distributions of viscous flow. Stream functions, potential flow, and creeping flow. Boundary layer theory. Modeling of turbulent flow. Special topics may include: hydrodynamic stability, vorticity dynamics and mixing, waves in fluids, airfoil theory, lubrication theory, compressible flow, multiphase flow, bubbles and droplets, non-Newtonian flow, and computational fluid dynamics.

    3 credits. Prerequisite: ESC 140

  • EID 441

    Advanced Heat and Mass Transfer (same as ChE 441)

    Introduction to the energy equation. Steady and transient heat transfer by conduction. Convective heat transfer. Energy transport in flowing media. Free convection. Conservation of species equation. Fick's law of binary diffusion. Mass transfer with simultaneous homogeneous or heterogeneous reaction. Multicomponent heat and mass transfer. Stefan-Maxwell equations for multicomponent diffusion. Simultaneous heat and mass transfer. Transport in electrolyte solutions. Special topics may include: membrane separation processes, drug delivery and controlled release, turbulent heat and mass transfer, boundary layer heat and mass transfer, and chemically reacting flows.

    3 credits. Prerequisite: EID 440 or ChE 440

  • EID 446

    Pollution Prevention of Minimization (same as CE 446)

    3 credits. Prerequisite: permission of instructor

  • EID 448

    Environmental and Sanitary Engineering (same as CE 448)

    3 credits. Prerequisite: permission of instructor

  • EID 449

    HazardousWaste Management (same as CE 449)

    3 credits. Prerequisite: permission of instructor

  • EID 470/CE 470

    Urban Security

    Design of urban systems to protect against terrorism. Analysis of blast loads. Blast mitigation design considerations. Technology transfer; military/defense to civilian sector. Response spectra. Pressure/impulse diagrams. Stand off distances. Blast mitigation measures for buildings, bridges and tunnels. Prevention of progressive collapse in tall buildings. Design of glazing. Retrofit upgrade of existing urban infrastructure. Building code and insurance issues.

    3 credits. Prerequisites: CE 122 or ME 101 and permission of instructor

  • EID 488

    Convex Optimization (same as ChE 488)


    3 credits. Prerequisites: ChE 151 or ESC 161, Ma 326 (co-enrollment is fine) and permission of instructor


  • Bio 101

    Biology for Engineers I

    This course will examine in depth the genetics, molecular and cellular biology, pathology, toxins, microbiology and environment as they relate to humans and disease using organ-based or systems biology approaches (e.g., gastrointestinal pulmonary, cardiovascular, urinary endocrine, etc.) Major assignments will be individualized to student's interests and majors when possible. As such, this course will provide the biological fundamentals for further study in biotransport, biochemistry, graduate school in biomedical engineering, etc. Combined with Biology 102 and Biochemistry, it will provide a solid foundation for medical school.

    3 credits (includes lab experience). Prerequisites: Ch 110 and Ch 160 or permission of instructor

  • Bio 102

    Biology for Engineers II

    This course will provide human biology fundamentals to springboard into research projects at the intersection of biology and engineering. Topics will include anatomy and physiology of musculoskeletal and other major organ systems not covered in Bio 101, imaging modalities, concepts behind diagnostic and therapeutic surgical procedures, and their limitations, human body repair, artificial organs, tissue engineering, immunology and cancer. Students will develop an extensive biological vocabulary and have requisite knowledge for further study in biomechanics, rehabilitation medicine, biomaterials, bioremediation, etc.

    3 credits. Prerequisite: Sophomore standing preferred, but freshman with AP Biology welcome

Chemistry - Undergraduate

  • Ch 110

    General Chemistry

    An introduction to the general scientific principles associated with chemistry. This course will deal with fundamental ideas such as the concept of the atom, the molecule, the mole and their applications to chemical problems. The classical topics include: dimensional analysis and significant figures; atomic weights; periodic properties; chemical reactions and stoichiometry; redox reactions; ideal gas law and real gas equations of state; the liquid state and intermolecular forces; solution concentrations; chemical equilibrium and equilibrium constants; acids and bases; solubility equilibria; nomenclature of inorganic and organic compounds. The topics for atomic and molecular properties include: atomic structure and the quantum theory; electronic structure of atoms; the covalent bond and bond properties;molecular geometries and hybridization; molecular orbital theory.

    3 credits. Prerequisites: none

  • Ch 111

    General Chemistry Laboratory

    Methods of quantitative analysis are used to explore chemical reactions and analyze unknowns. Modern chemical instrumentation as well as 'classic' wet chemistry analytical techniques are covered. Statistical analysis of the experimental data is used to analyze results. Chemical laboratory safety and industrial chemical regulations are covered, as are the fundamentals of writing a technical report.

    1.5 credits. Prerequisite: CH110.

  • Ch 160

    Physical Principles of Chemistry

    The study of physicochemical properties will be extended and advanced. The laws of thermodynamics, which involve energy, enthalpy, entropy and free energy concepts, will be applied to chemical systems. Other topics include: vapor pressures and colligative properties of solutions; the phase rule; kinetics of homogeneous reactions; electrolytic conductance and electrochemistry.

    3 credits. Prerequisite: Ch 110, Ma 111; corequisite: Ch 111

  • Ch 231

    Organic Chemistry I

    Bond types and strengths, structural theory, bond angles and hybrid bonds; covalent bonds, polarity of bonds and molecules; dipole moments; molal refraction; melting points and boiling points relative to properties and natures of molecules; solubilities based on structures; functional groups; critical temperature, pressure and volume as a function of structure and functional groups, prediction of vapor pressure curves, latent heats. Nomenclature isomers and properties. Resonance and delocalization of charge phenomena; acidity and basicity (Lewis concept).

    3 credits. Prerequisite: Ch 160

  • Ch 232

    Organic Chemistry II

    Extension of Ch 231 to systematic study of aliphatic and aromatic compounds, with emphasis on functional behavior and interpretation of mechanisms and bond types, polyfunctional compounds, carbohydrates and heterocyclic compounds.

    2 credits (2 lecture hours). Prerequisite: Ch 231; corequisite: Ch 233

  • Ch 233

    Organic Chemistry Laboratory

    Laboratory work will cover subject matter studied in Ch 231 and Ch 232, including synthesis and type reactions and identification of organic compounds.

    2 credits (4 laboratory hours) Prerequisite: Ch 231

  • Ch 251

    Instrumental Analysis Laboratory

    Fundamental principles of instrumental methods will be covered, including laboratory applications and limitations in scientific research. Specific methods include electrometric, such as polarography, electro-gravimetry and potentiometry; optical (such as visible and ultraviolet absorption), spectroscopy, emission spectroscopy and infrared spectroscopy; and other techniques such as chromatography and mass spectroscopy shall be included.

    2 credits (4 laboratory hours). Prerequisite: Ch 160

  • Ch 261

    Physical Chemistry I

    With an emphasis on the basic theoretical justifications underlying observed physical phenomena, quantum mechanics will be developed and applied to the study of chemical systems with an emphasis on interpreting spectroscopic data. Modern methods of computational molecular modeling are introduced. Statistical mechanics is introduced as a link between quantum mechanics and thermodynamics.

    3 credits. Prerequisites: Ch 160 and Ph 214

  • Ch 262

    Physical Chemistry II

    Continuation of Ch 261 with emphasison electrochemistry, chemical kinetics and solid state chemistry. Selected topics.

    2 credits. Prerequisite: Ch 261

  • Ch 333

    Advanced Organic Chemistry

    Modern areas of organic chemistry, including synthesis, structure determination, stereo-chemistry  and conformational analysis, reaction mechanisms, photochemistry, conservation of orbital symmetry, molecular rearrangements and other selected topics. Advanced laboratory studies in research problem form. Typical problems would involve studies of the synthesis, structure and properties of organic compounds, utilizing modern instrumental techniques. Independent laboratory work may be arranged.

    3 credits. (2 hours of lecture; 4 hours of Laboratory). Prerequisite: Ch 232

  • Ch 334

    Physical Organic Chemistry

    Molecular orbital theory in organic chemistry, orbital symmetry and stereoelectronic selection rules, rate theory, kinetic isotope effects, carbonium ions and rearrangements, acid-base catalysis, quantitative correlations of reactivity and other selected topics.

    3 credits. Prerequisites: Ch 232 and Ch 261

  • Ch 340


    This course in the fundamentals of biochemistry will cover the following: Chemistry of carbohydrates, lipids, amino acids, proteins, and nucleotides; bioenergetics; kinetics and mechanisms of enzymes; and an introduction to molecular genetics, and biochemical dynamics of DNA and RNA.

    3 credits. Prerequisites: Bio 101 and Ch 231

  • Ch 363

    Advanced Physical Chemistry

    Modern applications of physical chemistry and chemical physics are developed. Topics covered include: Quantum and classical statistical mechanics, phase space, and fluctuations. Intermolecular forces and their experimental/theoretical determination. Computational molecular modeling, including ab initio, semiempirical and molecular mechanics predictions of molecular properties, as well as Monte Carlo and molecular dynamics methods. Some projects will require computer programming. Applications to liquids, nanoclusters, polymers, surface adsorbates and biomolecules are considered. Guest speakers from academia and industry are invited to share their perspectives.

    3 credits. Prerequisites: Ch 261 and Ch 262, or permission from instructor

  • Ch 364

    Solid-State Chemistry

    Solid-state reactions; nucleation and diffusion theory; thin films of elements and compounds; current topics.

    3 credits. Prerequisite: Ch 262

  • Ch 365

    Chemical Kinetics

    Fundamental study of chemical reaction systems in gaseous and condensed phases; absolute rate theory; collision theory; energetics from molecular and macroscopic viewpoints. Experimental rate techniques, interpretation of experimental data. Reaction mechanisms and models for complex and elementary reactions. Homogeneous and surface catalysis; enzyme-controlled reaction rates.

    3 credits. Prerequisite: Ch 262

  • Ch 370

    Inorganic Chemistry

    The vast and fascinating chemistry of inorganic compounds and materials will be covered. Atomic structure and the periodic table; molecular symmetry and spectroscopy selection rules; coordination chemistry; lig and-field theory and other electrostatic bonding models; superacids; reaction mechanisms; organometallic chemistry; chemistry of the heavy elements; nuclear chemistry. Chemistry and physics of ionic and molecular solids; atomic and molecular clusters; chemisorption and physisorption of surface-bound species; cage compounds and catalysts; bioinorganic chemistry. A useful course for chemical engineers to extend their knowledge of inorganic chemistry beyond the content of Ch 110. Strongly recommended for students interested in graduate work in chemistry.

    3 credits. Prerequisites: Ch 110, Ch 160, Ch 231 and Ch 261

  • Ch 380

    Selected Topics in Chemistry

    Study of topics related to specialized areas as well as advanced fundamentals.

    2-6 credits. Prerequisite: Chemistry faculty approval required

  • Ch 391

    Research Problem I

    An elective course available to any qualified and interested student irrespective of year or major. Students may approach a faculty member and apply to carry out independent research on problems of mutual interest, in pure or applied chemistry. Topics may range from the completely practical to the highly theoretical, and each student is encouraged to do creative work on his or her own with faculty guidance.

    3 credits. Prerequisite: permission of research adviser and student’s adviser(s)

  • Ch 392 to 398

    Research Problem II to VIII

    This is intended to allow students to continue ongoing research.

    3 credits each. Prerequisite: permission of research adviser and student’s adviser(s)

Chemistry - Graduate

  • Ch 440

    Biochemistry II

    Discussion of metabolism: Glycolysis, Glycogen Metabolism, Transport through membranes including ATP-Driven Active Transport and Ion Gradient-Driven Active Transport, Citric Acid Cycle, Electron Transport and Oxidative Phosphorylation, Lipid Metabolism including Fatty Acid Oxidation and Biosynthesis, Cholesterol Metabolism, Arachidonate Metabolism: Prostaglandins, Prostacyclins, Thromboxanes and Leukotrienes; DNA Repair and Recombination, Eukaryotic Gene Expression including Chromosome Structure, Genomic Organization, Control of Expression, Cell Differentiation. 3 credits. Prerequisite: Ch 340

    3 credits. Prerequisite: Ch 340

Computer Science

  • CS 102

    Introduction to Computer Science

    Introduction to Engineering Problem Solving using algorithms and their design. Logics and basic analysis techniques are explored using programming languages C and Python. Students will also master one or more significant engineering design packages such as MATLAB, AUTOCAD, Solid Works, etc. Projects will be assigned.

    3 credits. Prerequisites: none

Mathematics - Undergraduate

  • Ma 110

    Introduction to Linear Algebra

    Vectors in two- and three-dimensions, vector algebra, inner product, crossproduct and applications. Analytic geometry in three dimensions: lines, planes, spheres. Matrix algebra; solution of system of linear equations, determinants, inverses.

    2 credits. Prerequisites: none

  • Ma 111

    Calculus I

    Functions; limit of functions, continuity. The derivative and its applications: curve sketching, maxima and minima, related rates, velocity and acceleration in one dimension; trigonometric, exponential, logarithmic and hyperbolic functions. Definite and indefinite integrals; area, the fundamental theorem, techniques of integration.

    4 credits. Prerequisites: none

  • Ma 113

    Calculus II

    Applications of definite integrals: area, volume, improper integrals, work, arc length, surface area, centroid. Polar coordinates. Parametric curves in two and three dimensions: velocity, speed and accelerations. Partial derivatives and the chain rule, properties of the gradient. Maxima and minima. Sequences and series: convergence of sequences and series, Taylor and Maclaurin series, power series.

    4 credits. Prerequisite: Ma 111; prerequisite or corequisite: Ma 110

  • Ma 151.1

    Mathematics in Art

    This course deals with the period beginning with Pythagoras in ancient Greece and goes up to the present day. Topics include: Goedel's incompleteness theorem. Euclidean and non-Euclideangeometries, infinity, paradoxes, soap film experiments. Also discussed are black holes, the Big-Bang theory, relativity and quantum theory. The course is open to all Cooper Union students but is primarily oriented toward making the above-mentioned concepts comprehensive to those with very little mathematics in their background. Engineering students should see the Mathematics faculty and their adviser(s) for permission to take this course. The relatedness of seemingly distant fields (science, art, mathematics, music) is a central theme of the course.

    3 credits. Prerequisites: none

  • Ma 223

    Vector Calculus

    Double and triple integrals and their applications. Vector fields. Gradient, divergence and curl. Line and surface integrals. Theorems of Green, Gaussand Stokes. Path independence of line integrals.

    2 credits. Prerequisites: Ma 110 and Ma 113. Usually given in fall and spring semesters

  • Ma 224


    Sample spaces. Random variables. Probability. Distribution and density functions. Expectation. Mean and variance. Moments and generating function. Central limit theorem.

    2 credits. Prerequisite: Ma 113; corequisite: Ma 223. Usually given in both fall and spring semesters

  • Ma 224.1

    Probability and Statistics

    This course deals with sample spaces, random variables, probability. Distribution and density functions. Expectation. Mean and variance. Moments and generating function. Central limit theorem. Point estimation. Confidence intervals. Hypothesis tests. Chi-square. ANOA. Estimations, sampling theory.

    3 credits. Prerequisite: Ma 113; corequisite Ma 223

  • Ma 240

    Ordinary and Partial Differential Equations

    Ordinary differential equations of the first order. Linear equations of higher order with constant coefficients. Power series solutions. Laplace transformation. Fourier series. Partial differential equations: method of separations of variables, applications to vibration and heat flow.

    3 credits. Prerequisite: Ma 113

  • Ma 326

    Linear Algebra

    Finite-dimensional vector spaces. Linear independence. Dimension. Basis. Subspaces. Inner product. Matrices. Rank. Determinant. Systems of linear equations. Matrix algebra. Coordinate transformation. Orthogonal matrices. Linear transformation. Eigen values and eigen vectors. Quadratic forms. Canonical form.

    3 credits. Prerequisite: Ma 223

  • Ma 336

    Mathematical Statistics

    Statistical central limit theorem. Decision theory. Estimation: properties of estimators, point estimation, confidence intervals. Hypothesis testing: simple and composite hypothesis, Neyman-Pearson lemma, sequential methods, relationship to estimation. Normal distribution tests: t-test, chi-square, F-test. Introduction to non-parametric methods, regression and analysis of variance.

    3 credits. Prerequisites: Ma 223 and Ma 224

  • Ma 337

    Operations Research

    Linear programming, simplex method, graphs and network theory, dynamic programming, game theory, queues, variational techniques, duality, Markovchains, Monte Carlo simulation, decision theory. Special topics depending on student interest, possibly including language questions, integer programming, nonlinear programming and topics from mathematical biology, econometrics and other applications of mathematics to the sciences and social sciences.

    3 credits. Prerequisite: Ma 224

  • Ma 341

    Differential Geometry

    Theory of curves and surfaces, curvature, torsion, mean and Gaussian curvatures length, area, geodesics, 1st and 2nd quadratic forms, conformal mapping, minimal surfaces, tensor formulation and applications.

    3 credits. Prerequisites: Ma 223 and permission of instructor

  • Ma 344

    Tensor Analysis

    Tensor algebra, covariant and contravariant tensors, metric tensors, Christoffel symbols and applications.

    3 credits. Prerequisite: Ma 326

  • Ma 345

    Functions of a Complex Variable

    Topological properties of complex plane, complex analytic functions, Cauchy-Riemann equations, line integrals, Cauchy's integral theorem and formula. Taylor series, uniform convergence, residues, analytic continuation, conformal mappings and applications.

    3 credits. Prerequisite: Ma 223

  • Ma 347

    Modern Algebra

    Sets and mappings, the integers: well ordering, induction residue class arithmetic, Euler-Fermat theorems. Permutation groups: cyclic decompositions. transpositions, conjugate classes of permutations. Abstract groups: morphisms, subgroups, cyclic groups, coset decompositions. Factor and isomorphism theorems. Direct products of groups. Sylow's theorems.

    3 credits. Prerequisite: Ma 326

  • Ma 350

    Advanced Calculus I

    Sets and functions, topological properties of real line, continuity and uniform continuity, differentiability, mean value theorems, the Riemann-Stieltjes integral and Taylor's theorem.

    3 credits. Prerequisite: Ma 223

  • Ma 351

    Advanced Calculus II

    Uniform convergence. Differentitation of transformations, inverse and implicit function theorems. Applications to geometry and analysis.

    3 credits. Prerequisite: Ma 350

  • Ma 352

    Discrete Mathematics

    Relations. Mathematical structures. Number theory. Algorithms. Complexity of algorithms. Cryptology. Recurrencerelations. Graph theory. A shortest-pathalgorithm. Planar graphs. Trees. Amaximal flow algorithm. Finite-state automata. Languages and grammars. Turing machines. The Church-Turing thesis. Unsolvable problems.

    3 credits. Prerequisite: Ma 110

  • Ma 370

    Selected Topics In Mathematics

    This is a seminar course involving discussion of topics in pure or applied mathematics that will be chosen by mutual agreement between the students and the instructor. Students will work independently on projects that may be of special interest to them.

    3 credits. Prerequisites: Ma 326 and permission of the mathematics faculty

  • Ma 381


    Individual investigation of selected topics in pure or applied mathematics, centered on a subject to be agreed on between students and the faculty leader. Emphasis will be on training in independent reading of mathematical literature, oral presentations and group discussions of the theory and problems.

    Credits and class hours to be determined by faculty on individual basis. Prerequisite: Ma 223

  • Ma 382 (continuation of Ma 381)

    Seminar (continuation of Ma 381)

    Credits to be determined by faculty on individual basis. Prerequisite: Ma 381

  • Ma 391

    Research Problem 1

    An elective course available to qualified upper division students.Students may approach a faculty member and apply to carry out independent research on problems of mutual interest in pure or applied mathematics. Each student is encouraged to do independent creative work with faculty guidance.

    3 credits. Prerequisites: Ma 240 and permission of research adviser

  • Ma 392 (Continuation of Ma 391)

    Research Problem 2

    This is intended to allow students to continue ongoing research.

    3 credits. Prerequisites: Ma 391 and permission of research adviser

Mathematics - Graduate

  • Ma 401

    Boundary Value Problems

    Orthogonal polynomials, Fourier series; properties of Legendre polynomials and Bessel functions. Applications to the wave equation and the differential equations of heat transfer in several dimensions.

    3 credits. Prerequisites: Ma 223 and Ma 240

  • Ma 402

    Numerical Analysis

    Techniques for the solutions of ordinary and partial differential equations, the classical problems of linear algebra, integration and systems of nonlinear equations. Error analysis, convergence and stability theory. Course assignments will include use of computing facilities.

    3 credits. Prerequisites: Ma 223 and Ma 240

  • Ma 403

    Special Topics in Applied Mathematics

    Introduction to the general theory of partial differential equations; existence and uniqueness of solutions; integral equations; computational techniques using finite-element and probabilistic methods. Other current topics in engineering may be included also.

    3 credits. Prerequisites: ECE 114 and Ma 326 or permission of instructor

  • Ma 415

    Wavelets and Multiresolution Imaging


    3 credits. Prerequisites: ECE 114 and Ma 326 or permission of instructor

  • Ma 417

    Mathematics of Medical Imaging

    Mathematical basis for various medical imaging methods including CT, MRI, PET. Radon transform, tomography (recovery from projections), inverse problems, artifacts and noise. Mathematical physics of related topics such as wave propagation, signal generation and detection, quantum mechanics.

    3 credits. Prerequisites: Ma 240, Ma 326 or permission of instructor

  • Ma 470

    Selected Advanced Topics in Mathematics

    Selected topics in Mathematics treated at an advanced level.

    Credits to be determined by Mathematics faculty. Prerequisites: Ma 326 and permission of faculty member

Physics - Undergraduate

  • Ph 112

    Physics I: Mechanics

    Static equilibrium, kinematics, Newton's Law's, non-inertial frames of reference, system of particles, work and energy, linear and angular momentum, rigid body motion, conservation laws, oscillation.

    4 credits. Prerequisites: Ma 110, Ma 111; corequisite: Ma 113

  • Ph 165

    Concepts of Physics I

    An introduction to physics with an emphasis on statics and dynamics.

    2 credits. Prerequisites: Ma 160, CS 102; corequisite: Ma 163. Cannot be used to satisfy any degree requirement in the School of Engineering

  • Ph 166 (continuation of Ph 165)

    Concepts of Physics II

    Additional topics include optics, waves and an introduction to structural analysis.

    2 credits. Cannot be used to satisfy any degree requirement in the School of Engineering. Prerequisite: Ph 165; corequisite: Ma 164.

  • Ph 213

    Physics II: Electromagnetic Phenomena

    Oscillations; transverse and longitudinal waves. Electric fields; Gauss' Law; electric potential; capacitance; D.C. circuits; magnetic fields; Faraday's law; inductance; A.C.circuits; electromagnetic waves.

    4 credits. Prerequisite: Ph 112; corequisite: Ma 223

  • Ph 214

    Physics III: Optics and Modern Physics

    Geometric and physical optics. Special theory of relativity. The quantum theory of light. The quantum theory of matter. Atomic structure. Nuclear structure and radioactivity.

    3 credits. Prerequisite: Ph 213

  • Ph 215

    Microcontroller Projects in Physics

    This course will introduce students to the Arduino prototyping platform, diverse sensors and output devices that may be interfaced to the Arduino,and the programming languages ('Arduino' and 'Processing') required for stand-alone operation or interaction with an attached PC. A typical project will involve developing hardware and associated software that requires the study of, and ultimately illustrates, basic physics principles - for example, the construction of a self-focusing telescope. Ideally, student projects will be integrated into the physics lecture courses as demonstration apparatus. The basics of circuit theory that are required for this course will be taught to those who have not yet completed Ph 213. (Students need not be skilled programmers or have any prior knowledge of circuits for this course.)

    3 credits. Prerequisites: CS102, Ph112, and permission of instructor

  • Ph 235

    Physics Simulations

    Students will be taught how to numerically solve ordinary differential equations using 4th order techniques such as Runge-Kutta and Adams-Bashforth-Moulton in the Python programming language. These techniques will be used to solve diverse physics problems not amenable to simple analytical solution, such as n-body gravitational motion, the motion of charged particles in a magnetic bottle, the behavior of a car's suspension on a bumpy road. Emphasisis placed on physically accurate modeling (e.g. satisfying conservation laws to high accuracy) and the effective use of computer graphics/animation for the presentation of results. (Students need not have significant programming experience for this course.)

    3 credits. Prerequisites: CS102, Ph112, Ma113, and permission of instructor

  • Ph 291

    Introductory Physics Laboratory

    Physical measurements and analysis of experimental data. The experiments test and apply some basic principles selected from the following fields: mechanics, sound, electromagnetism, optics and modern physics. Experiments and topics may vary each semester. Digital and analog laboratory instruments; computer acquisition and analysis of data. Estimate of systematic and random error, propagation of error, interpretation of results. This course complements three lecture courses, Ph 112, Ph 213, Ph 214.

    1.5 credits. Prerequisite: Ph 112; corequisites: Ph 213, Ma 240

  • Ph 314

    Scientific Photography

    This course provides a multidisciplinary approach to analyzing the visible and invisible world around us, using diverse imaging techniques such as infrared photography, time-lapse and high speed photography, micrography, high dynamic range imaging, holography, stereoscopy, and conventional photography. Analysis of images will involve tools such as Matlab’s Image Processing Toolbox. In addition to common course obligations, each student will be responsible for completing a hardware and/or software project and producing a small artistic portfolio.

    3 credits. Prerequisite: Permission of Instructor

  • Ph 327

    Topics in Modern Physics

    Seminar course with student participation in several topics of current interest in experimental and theoretical science.

    3 credits. Prerequisite: Ph 214

  • Ph 328

    Relativity and Electrodynamics

    Introduction to tensures; formulation of electromagnetic theory. Special and general theories of relativity. Topics include space time transformations, electromagnetic stress-energy momentum tensor, four space curvature and gravitational field equations, description of basic experiments, gravitational waves, cosmological models.

    2 credits. Prerequisite: Ph 214

  • Ph 346

    Quantum Physics of Solids

    Why do silicon, calcite and copper have very different properties even though they have similar densities of electrons? The answer is quantum mechanics and its application to band theory. Band theory provides some ofthe most direct tests of quantum mechanics. The course will develop the theory to explain thermal and electrical properties of everyday materials. We shall see how quantum mechanics and Fermi statistics successfully explained these properties when classical physics could not. The course will provide the concepts and quantum mechanical training needed to understand, for example, the workings of semiconductor devices. It will also provide theoretical understandings of material properties like thermal and electrical conductivity, optical reflection and transmission coefficients that you have seen in mechanics, E&M and modern physics. Topics covered will include: Drude and Sommerfield Models; Bloch's Theorem and periodic potentials; the nearly free electron model; tight binding model; band structures; semiconductors and insulators; band structure engineering.The mathematics required to understand the concepts will be developed as we go through the topics.

    3 credits. Prerequisites: Ph 112, Ph 213, and Ph 214

  • Ph 360

    Special Projects in Physics

    Special projects in experimental or theoretical physics.

    Credits and prerequisites determined in each case by the physics faculty

Physics - Graduate

  • Ph 429

    Deterministic Chaos with Engineering Applications

    A simple mathematical formalism explains how a nonlinear system with no random element may be intrinsically unpredictable even when its governing equations are known. The mathematics of chaos (including fractals) will be presented, with applications drawn from mechanical, biological, chemical processes; the weather; electric circuits; lasers; general relativity; models of war; the economy; the spread of epidemics, etc.

    3 credits. Prerequisites: Ph 214, Ma 113 (Ma 240 preferred) and CS 102

  • Founded by inventor, industrialist and philanthropist Peter Cooper in 1859, The Cooper Union for the Advancement of Science and Art offers education in art, architecture and engineering, as well as courses in the humanities and social sciences.

  • “My feelings, my desires, my hopes, embrace humanity throughout the world,” Peter Cooper proclaimed in a speech in 1853. He looked forward to a time when, “knowledge shall cover the earth as waters cover the great deep.”

  • From its beginnings, Cooper Union was a unique institution, dedicated to founder Peter Cooper's proposition that education is the key not only to personal prosperity but to civic virtue and harmony.

  • Peter Cooper wanted his graduates to acquire the technical mastery and entrepreneurial skills, enrich their intellects and spark their creativity, and develop a sense of social justice that would translate into action.