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This information has been extracted from The Cooper Union for the Advancement of Science & Art Course Catalog 2007-2007. It provides descriptions of the courses in the current Chemical Engineering Curriculum as well as the electives currently offered by departmental faculty. For a complete catalog contact The Cooper Union.

Undergraduate Chemical Engineering Courses
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. Prerequisite: ESC 170, 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 nonideal mixtures; vapor-liquid equilibria; checking thermodynamic constituency of vapor-liquid equilibrium data; equilibrium constant enthalpy and Gibbs free energy of formation in chemical reactions.
3 credits. Prerequisite: ESC 130.1
ChE 141 Heat Transmission
Thermal conductivity; steady state conduction in solids and heterogeneous materials; transient conduction; convection heat transfer; heat transfer during boiling and during condensation; design of heat-exchange equipment; radiation heat transfer.
3 credits. Prerequisite: ESC 140
ChE 142 Mass Transfer Processes
Diffusion mechanisms and phenomena; estimation of diffusivity. Fick's law of diffusion; concentration distributions in solid and fluid flow with or without chemical reaction. Application of thermodynamic and transport concepts to the design of continuous contact and staged mass transfer processes. Distillation, gas absorption and liquid extraction. Examination of the limitations of theory and empiricism in design practice.
4 credits.Prerequisites: ChE 131, ChE 141 and ESC 140
ChE 151 Process Simulation and Mathematical Techniques for Chemical Engineers
In this course computer-aided design is applied to chemical engineering problems in fluid flow, heat transfer, mass transfer and chemical reactor analysis. Topics include: matrices and determinants properties and special matrices, systems of linear equations and methods of solution by matrices, eigenvalues, eigenvectors and applications to least squares and stage processes. Steady and unsteady general diffusion equation, one and two dimensional heat transfer equation, Fourier series, Laplace and Z transforms and applications. Series and numerical solutions, Power, Bessel, Euler, Runge-Kutta, Milne, Finite differences approximations and Crank-Nicholson. Applications
3 credits.
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-loop systems; 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 energy 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 Sciences' ProVision/PRO-II and an examination of optimization techniques.
3 credits. Prerequisite: ChE 141, 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 Chamical Engineering. All aspects of Chemical Engineering are integrated in the design of a chemical process plant. The design process consists of flow-sheet development, equipment selection and sizing, utility requirements, instrumentation and control, economic analysis and formulation of safety procedures. The plant design is carried out in class and includes the use of professional simulation packages. The AIChE project is included in the course
3 credits. Prerequisite: ChE 161.1
ChE 162.1-2 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 provife 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 311 Introduction to Polymer Technology
Introduction to the chemistry and physical status of polymer materilas. Discussion of the formation of polymers from corresponding monomers, emphasizing mechanisms and kinetics of various polymerization techniques. Measurements of average molecular weights and molecular weight distribution of ploymers. Viscosity and rheology of polymer solutions and melts.
3 credits.
ChE 321 Chemical Reactor Design
Design and analysis of chemical reactor systems; transport phemonena; reactor dynamics; design optimization; experimental techniques.
3 credits. Prerequisite: ChE 121
ChE 340 Industrial Waste Treatment
This course deals with the treatment of industrial waste streams. Topics include: sources of waste water, characterization of industrial waste water, BOD, COD, TOC, The OD, primary treatment by physical unit operations(coagulation and flocculation, sedimentation. flotation, thickeners, filtration, absorption,...) Secondary treatment by unit processes (ion exchange, chlorination, de-chlorination,...); biological treatments (kinetics and reactor design, aerobic, anaerobic,...); industrial applications and municipal and government regulations. This course is 50% engineering science, 50% engineering design. The course also includes a research paper on an environmental topic.
3 credits. Prerequisite: Ch 160
ChE 342 Separation Processes
Advanced study of the theory and design of multicomponent distillation, gas absorption and extraction operations. Thermal diffusion, foam fractionation, parametric pumping, reverse osmosis and chromatographic separations are examples of less conventional operations discussed. Thermodynamics of phase equilibrium; diffusion and low- and high-flux mass transport theory.
3 credits. Prerequisite: ChE 151
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

Graduate Chemical Engineering Courses
ChE 411 Polymer Technology and Engineering
Structures and synthesis of Carbon-Carbon and heterogeneous chain polymers, mechanisms and kinetics of emulsion, condensation, ionic stereospecific polymerizations. Rubber elasticity. Rheological and viscoelastic properties of polymers and polymer solutions. Survey and investigations of advanced topics are required.
3 credits. Prerequisite: permission of instructor
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
Thermodynamic analyses of soild systems undergoing elastic strain and of magnetic, electric and biological systems. Equations of state for these and other fluid and non-fluid systems. Recent advances in obtaining real fluid and solid properties.
3 credits. Prerequisite: ChE 131 or ME 130
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
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: ME334 or permission of instructor
ChE 440 Advanced Fluid Dynamics
Introduction to multi-dimensional steady and un-steady compressible flow;velocity distribution, velocity potential and stream function. Turbulent flow. Boundary layer theory. Supersonic flows.
3 credits. Prerequisite: ESC 140 and permission of instructor
ChE 441 Advanced Heat and Mass Transfer
Principles of heat and mass transfer are used to solve various engineering problems. Topics studied include analytical and numerical solution techniques for steady and unsteady conduction processes, boundary layer flow, recirculation phenomena, turbulent flow, radiation heat transfer, combined convection and radiation, diffusion mass transfer and chemically reacting systems.
3 credits. Prerequisite ESC 141.
ChE 442 Multi-component Distillation
Various methods for vapor-liquid equilibrium calculations, including the Wilson parameter approach, are reviewed. Distillation tower design based on steady-state approach includes analytical method using matrix operation and various convergence methods are discussed in detail. Introduction to unsteady-state approach for tower design and dynamics evaluation. Students are encouraged to apply existing techniques to complex towers and to improve the state of the art.
3 credits. Prerequisite: ChE 142.
ChE 444 Boundary Layer Theory
Study of heat, mass and momentum transfer in the boundary layer region of a submerged body; emphasis on continuum fluid systems, with introduction to rarified and non- continuum gaseous systems; analytical, numerical and analogmethods of solutions.
3 credits. Prerequisite: ESC 141.
ChE 451 Digital Simulation
Principles of digital simulation for chemical processes and other engineering problems are introduced. Groups of subroutines as essential tools for dynamic simulation and evaluation are developed. Projects involving advanced dynamic simulations of chemical engineering systems are required.
3 credits. Prerequisite: permission of instructor.
ChE 452 Chemical Process Optimization
Various algorithms of optimization techniques are introduced. Methods covered include both analytical and numerical approaches. Applications to optimal reactor design. Optimal control of chemical process equipment performance is demonstrated. Solution by students of assigned optimization problems in chemical engineering on digital or analog computers is required.
3 credits. Prerequisite: ChE 451.
ChE 453 Digital Computer Process Control
An introductory course in digital computer control. Topics discussed include basic mathematics of sampling data systems; control algorithms using transformation; direct digital control; supervisory control; application of the digital computer to advanced control and optimal control. Analog to digital and digital to analog conversions, acquisition of laboratory data and remote control of experimental equipment are also covered.
3 credits. Prerequisite: ChE 152.
ChE 454 Advanced Experimental Process Control
Advanced experimental process control concepts and advanced digital computer control. Three-mode feed forward control of process variables including temperature, pressure, level and pH value. Feed forward, proportional and cascade controls of various process variables. Logic programmable control. Series communication control. Computer controls step change, single- in, single-out and transfer function evaluation. Computer data acquisition.
3 credits. Prerequisite: ChE 152
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 usually the case, science does not give a complete answer, it is necessary to use experience and judgement. The professional stature of an engineer depends on skill in utilizing all sources of information to reach practical solutions to processing problems. This course will concentrate specifically on the theoretical and practical principles of detailed equipment design for mass transfer, heat transfer and reaction operations. Attempts will be made to emphasize modern technologies used in these operations. Equipment covered will vary from year to year.
3 credits.
ChE 490 Process Synthesis
This course provides a new basis for the design of integrated chemical processes. The ability predict, at the outset, achievable design targets which 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 a review of basic thermodynamic concepts, capital/energy trade-off, process integration - multiple utilities, process/utility interface, reactors and separators in the context of overall process - power optimization, design for flexibility, total sites layout, batch processes and process plant retrofit.
3 credits. Prerequisite: ChE 161.1 &2 or permission of instructor
ChE 499 Thesis/Project
Master’s candidates are required to conduct, under the guidance of a faculty advisor, an original investigation of a problem in chemical engineering, individually or in a group, and to submit a written thesis describing the results of the work.
6 credits for full year.

Interdisciplinary Engineering
EID 101 Engineering Design and Problem Solving
Students work on cutting-edge, exploratory design projects in inter-disciplinary 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, team-work, human values and social concerns are stressed in the engineering design.
3 credits.

Engineering Sciences
ESC 000.1, .2, .3, .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. 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 commu-nications skills including ethics, environmental awareness, life-long learning, career development, conflict resolution, entrepreneurship, marketing, work-place issues, team dynamics, professional licensure and organizational psychology.
0 credits. Attendance required by all first and second year students. Pass/Fail grade based on attendance and participation.
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.
ESC 130.1 Chemical Engineering Thermodynamics
First law of thermodynamics for closed systems; perfect gases; two- and three-phase systems of one component; transient and steady-state analyses using the first law of thermodynamics for open systems; second law of thermodynamics; introduction to concepts of entropy. Gibbs free energy and Helmholtz free energy; derivation and application of equations describing the auxiliary thermodynamic functions and conditions of equilibrium; imperfect gases.
3 credits. Prerequisite: Ch 160
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 fluids, flow measurement and dimensional analysis with applications in fluid dynamics. Friction loss and friction factor correlation; design of piping systems.
3 credits.
ESC 170 Materials and Energy Balances
Introduction to the analysis of chemical process systems using material and energy conservation equations. Estimation of thermodynamic 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

Chemistry
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.
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: Ch 110; co-requisite Ch 160.
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; co-requisite: 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 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, carbo- hydrates and heterocyclic compounds.
2 credits (2 lecture hours).
Prerequisite: Ch 231; co-requisite 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 includeelectrometric, such as polarography, electrogravimetry 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 emphasis on electrochemistry, chemical kinetics and solid state chemistry. Selected topics.
2 credits. Prerequisite: Ch 261.

Physics
Ph 112 Physics I: Mechanics
Static equilibrium, kinematics, Newton's Laws, non-inertial frames of reference, systems of particles, work and energy, linear and angular momentum, rigid body motion, conservation laws, oscillation.
4 credits.
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; elctromagnetic waves.
4 credits. Prerequisite: Ph 112
Ph 214 Physics III: Optics and Modern Physics
Geometric and physical optics. Special theory of relativity. The quantum theory of light. The quantun theory of matter. Atomic structure. Nuclear structure and radioactivity.
3 credits. Prerequisite: Ph 213
Ph 291 Introductory Physics Laboratory
Physical measurements and analysis of experimental data. The experiments test and apply some basic principles of 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, propogation of error. interpretation of results. This course complements three lecture courses, Ph 112, Ph 213, Ph 214.
1.5 credits. Prerequisite: Ph 112; corequisite Ph 213.

Mathematics
Ma 110 Introduction to Linear Algebra
Vectors in two- and three- dimensions, vector algebra, inner product, cross product and applications. Analytic geometry in three dimensions; lines planes, spheres. Matrix algebra; solution of system of liunear equation, determinants, inverses.
2 credits.
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, exponentila, logarithmic and hyperbolic functions. Definite and indefinite integrals, area, the fundamental theorem, techniques of integration.
4 credits.
Ma 113 Calculus II
Applications of definite integrals; area, volume, impoper integrals, work, arc length, surface area, centroid. Polar coordinates. parametric curves in two and three dimensions; velocity, speed and accelerations. Partial derivatives and chain rule, properties of the gradient. Sequences and series; convergence or sequences and series, Taylor and Maclaurin series, power series.
4 credits. Prerequisite: Ma 111; prerequisite or corequisite: Ma 110.
Ma 223 Vector Calculus
Double and triple integrals and their applications. Vector fields. Gradient, divergence and curl. Line and surface integrals. Theorems of Green, Gauss and Stokes. Path independence of line integrals.
2 credits. Prerequisite: Ma 113.
Ma 224 Probability
Sample spaces. Random variables. Probability. Distribution and density functions. Expectation. Mean and variance. Moments and generating functions. Central limit theorem.
2 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 vibrations and heat flow.
3 credits. Prerequisite: Ma 113.

Humanities and Social Sciences
HSS 1 Literary Forms and Expressions
A literature course on poetry and drama. Selected texts from antiquity and the Renaissance, with works from other periods and cultures. Emphasis on critical responses articulated in written and spoken form.
3 credits.
HSS 2 Texts and Contexts: Old Worlds and New
Study of texts and topics from 1500 to 1800, such as formation of states, encounter with the New World, and the origins of modern science. Emphasis on literary expression and cultural context explored in reading, discussion and writing.
3 credits.
HSS 3 The Making of Modern Society
Key political, social, and intellectual development of modern Europe in global context. Emphasis on critical response in written and spoken form to a variety of historical documents and secondary texts.
3 credits.
HSS 4 The Modern Context: Figures and Topics
Study of an important modern figure whose influence extends into contemporary culture. Emphasis on research in Humanities and Social Sciences developed through independent wriying projects and oral presentations.
3 credits.