202 - Biomaterials and Biosurfaces (3)
Instructors: Israelachvili
Fundamentals of natural and artificial biomaterials and biosurfaces with emphasis on molecular level structure and function and the interactions of biomaterials and surfaces with the body. Design issues of grafts and biopolymers. Basic biological and biochemical systems reviewed for nonbiologists.
Prerequisites: consent of instructor. Same course as BMSE 202. Recommended preparation: prior biochemistry, physical chemistry, and organic chemistry.

210A - Fundamentals and Applications of Classical Thermodynamics and Statistical Mechanics (4)
Instructors: Doherty
Fundamental concepts in classical thermodynamics and statistical mechanics for engineering students. Establishes the framework within which applied problems can be solved using methodologies that start with molecular level understanding.
Not open for credit to students who have completed Chemical Engineering 210.

210B - Advanced Topics in Equilibrium Statistical Mechanics (3)
Instructors: Fredrickson
Application of the principles of statistical mechanics and thermodynamics to treat classical fluid systems at equilibrium. Topics include liquid state theory, computer simulation methods, critical phenomena and scaling principles, interfacial statistical mechanics, and electrolyte theory.
Same course as Materials 214. Not open for credit to students who have completed Chemical Engineering 214.

210C - Topics in Non-equilibrium Statistical Mechanics (3)
Instructors: Fredrickson
An introduction to the non-equilibrium statistical mechanics of classical fluid systems. Topics include: time correlation functions, linear response theory, kinetic theory of gases, Brownian motion, polymer dynamics, generalized hydrodynamics, non-equilibrium thermodynamics, and kinetics of phase transformations.
Not open for credit to students who have completed Chemical Engineering 215.

210D - Computational Methods in Statistical Mechanics (3)
Instructors: Staff
Topics of computational quantum and statistical mechanics will be covered including pseudopotential methods for band-structure and total-energy calculations, ab initio molecular dynamics, and classical potential methods for structural relaxation, lattice-dynamics, Monte Carlo, and molecular-dynamics simulations.
Not open for credit to students who have completed Chemical Engineering 213.

211A - Matrix Analysis and Computation (4)
Instructors: Staff
Graduate level-matrix theory with introduction to matrix computations. SVD’s, pseudoinverses, variational characterization of eigenvalues, perturbation theory, direct and iterative methods for matrix computations.
Prerequisite: consent of instructor. Same course as Computer Science 211A, ECE 210A, Geology 251A, ME 210A and Mathematics 206A. Students should be proficient in basic numerical methods, linear algebra, mathematically rigorous proofs, and some programming language.

211B - Numerical Simulation (4)
Instructors: Staff
Linear multistep methods and Runge-Kutta methods for ordinary differential equations: stability, order and convergence. Stiffness. Differential algebraic equations. Numerical solution of boundary value problems.
Prerequisite: consent of instructor. Same course as Computer Science 211B, ECE 210B, Geology 251B, ME 210B and Mathematics 206B. Students should be proficient in basic numerical methods, linear algebra, mathematically rigorous proofs, and some programming language.

211C - Numerical Solution of Partial Differential Equations - Finite Difference Methods (4)
Instructors: Staff
Finite difference methods for hyperbolic, parabolic and elliptic PDE’s, with application to problems in science and engineering. Convergence, consistency, order and stability of finite difference methods. Dissipation and dispersion. Finite volume methods. Software design and adaptivity.
Prerequisite: consent of instructor. Same course as Computer Science 211C, ECE 210C, Geology 251C, ME 210C and Mathematics 206C. Students should be proficient in basic numerical methods,linear algebra, mathematically rigorous proofs, and some programming language.

211D - Numerical Solution of Partial Differential Equations - Finite Element Methods (4)
Instructors: Staff
Weighted residual and finite element methods for the solution of hyperbolic, parabolic and elliptical partial differential equations, with application to problems in science and engineering. Error estimates. Standard and discontinuous Galerkin methods.
Prerequisite: consent of instructor. Same course as Computer Science 211D, ECE 210D, Geology 251D, ME 210D, and Mathematics 206D. Students should be proficient in basic numerical methods, linear algebra, mathematically rigorous proofs, and some programming language.

212 - Risk Assessment and Management (3)
Instructors: Theofanous
Conceptual foundations of risk and its utility for decision making. Determinism, statistical inference, and uncertainty. Formulation of safety goals and approaches to risk management. Generalized methodology and tools for assessing risks in the industrial, ecological, and public health context.
Prerequisites: consent of instructor. Same course as ME 212.

216A - Introductin to Magnetic Resonance Spectroscopy Techniques (3)
Instructors: Chmelka
An introduction to magnetic resonance theory and experimental techniques, with emphasis on quantum-mechanical descriptions of basic NMR methods for solid-state applications.
Prerequisite: consent of instructor.

216B - Advanced Methods of Magnetic Resonance with Applications to Materials Science (3)
Instructors: Chmelka
This course is intended to provide an understanding of advanced methods of magnetic resonance spectroscopy and imaging, emphasizing new applications to current issues in materials research.
Prerequisite: consent of instructor.

218 - Introduction to Multiphase Flows (3)
Instructors: Staff
Development from basic concepts and techniques of fluid mechanics and heat transfer, to local behavior in multiphase flows. Key multiphase phenomena, related physics. Extension of local conservation principles to usable formulations in multiphase flows. Modelling approaches. Practical examples. Computer simulations.
Prerequisite: consent of instructor. Same course as ME 218.

220A - Advanced Transport Processes-Laminar Flow and Convective Transport Processes (4)
Instructors: Leal, Banerjee, Squires
Principles of applied mathematics, dimensional analysis and asymptotic approximation methods applied to problems in fluid mechanics and convective transport phenomena; low-Reynolds number flows, free-boundary problems, boundary-layer theories and other advection dominated phenomena, introduction to linear stability theory.
Prerequisite: consent of instructor.

220B - Advanced Transport Processes-Laminar Flow and Convective Transport Processes (3)
Instructors: Leal, Banerjee, Squires
Principles of applied mathematics, dimensional analysis and asymptotic approximation methods applied to problems in fluid mechanics and convective transport phenomena; low-Reynolds number flows, free-boundary problems, boundary-layer theories and other advection dominated phenomena, introduction to linear stability theory.
Prerequisite: consent of instructor.

220C - Advanced Transport Processes-Mass Transfer (3)
Instructors: Sandall, Zasadzinski
Basic principles of diffusional processes, multicomponent systems, diffusion with chemical reaction, penetration and surface renewal theories, turbulent transport.


222A - Colloids and Interfaces I (3)
Instructors: Israelachvili
Introduction to the various intermolecular interactions in solutions and in colloidal systems: Van der Waals, electrostatic, hydrophobic, solvation, H-bonding. Introduction to colloidal systems: particles, micelles, polymers, etc. Surfaces: wetting, contact angles, surface tension, etc.
Prerequisite: consent of instructor. Same course as Materials 222A and BMSE 222A.

222B - Colloids and Interfaces II (3)
Instructors: Zasadzinski
Continuation of 222A. Interparticle interaction, coagulation, flocculation, DLVO theory, steric interactions, polymer-coated surfaces, polymers in solution, viscosity in thin liquid films. Surfactant self-assembly: micelles, micro-emulsions, lamellar phases, etc. Surfactants in surfaces: Langmuir-Blodgett films, adsorption, adhesion.
Prerequisite: consent of instructor. Same course as Materials 222B. Recommended preparation: Materials 222A or Chemical Engineering 222A.

224 - Microfluidic Physics (3.0)
Instructors: Squires
This course explores the physical effects underlying microfluidic systems, including viscous flows, the transport of suspended molecules and particles (advection, diffusion, reaction, and non-Newtonian effects), capillary effects in multi-phase systems, linear and nonlinear electrokinetic effects (electrophoresis, dielectrophoresis, induced-charge electrokinetics).


226 - Level Set Methods (4)
Instructors: Gibou
Mathematical description of the level set method and design of the numerical methods used in its implementations (ENO-WENO, Godunov, Lax-Friedrich, etc.). Introduction to the Ghost Fluid Method. Applications in CFD, Materials Sciences, Computer Vision and Computer Graphics.
Prerequisite: Computer Science 211C, or Chemical Engineering 211C, or ECE 210C, or ME 210C. Same course as CMPSC 216, ECE 226 and ME 226.

230A - Advanced Theoretical Methods in Engineering (4)
Instructors: Chmelka, Fredrickson, Leal
Methods of solution of partial differential equations and boundary value problems. Linear vector and function spaces, generalized Fourier analysis, Sturm-Liouville theory, calculus of variations, and conformal mapping techniques.
Prerequisite: consent of instructor. Same course as ME 244A.

230B - Advanced Theoretical Methods in Engineering (3)
Instructors: Fredrickson, Squires
Advanced mathematical methods for engineers and scientists. Complex analysis, integral equations and Green’s functions. Asymptotic analysis of integrals and sums. Boundary layer methods and WKB theory.
Prerequisites: Chemical Engineering 230A and consent of instructor. Same course as ME 244B.

230C - Nonlinear Analysis of Dynamical Systems (3)
Instructors: Doherty
Bifurcation and stability theory of solutions to nonlinear evolution equations; introduction to chaotic dynamics. Emphasis on asymptotic and numerical methods for the analysis of steady-state and time-dependent nonlinear boundary-value problems.
Prerequisites: Chemical Engineering 230A and consent of instructor.

230D - Numerical Methods in Chemical Engineering (3)
Instructors: Staff
The course will cover topics of numerical analysis with emphasis on methods for solution of linear and nonlinear algebraic equation sets and initial-value problems, finite-difference and finite-element methods, numerical bifurcation analysis, nonlinear optimization, and Monte Carlo methods.
Prerequisite: consent of instructor.

238A - Rheology of Polymeric Liquids (3)
Instructors: Leal
A fundamentally-based course focusing on: the microstructural and molecular basis of viscoelastic flow for complex fluids, with a particular focus on polymeric liquids, liquid crystals and colloidal suspensions; experimental techniques and the analysis of viscoelastic flow phenomena.
Same course as Materials 238A-B.

238B - Rheology of Polymeric Liquids (3)
Instructors: Leal
A fundamentally-based course focusing on: the microstructural and molecular basis of viscoelastic flow for complex fluids, with a particular focus on polymeric liquids, liquid crystals and colloidal suspensions; experimental techniques and the analysis of viscoelastic flow phenomena.
Same course as Materials 238A-B.

240A - Advanced Chemical Reaction Engineering (3)
Instructors: McFarland
Following review of the theory of reaction kinetics for catalyzed and noncatalyzed systems, detailed consideration is given to design and performance of catalysts and chemical reactors. Mathematical studies of stability and optimization are emphasized in relationship to mass, energy, and momentum transport.
Prerequisite: consent of instructor.

240B - Advanced Chemical Reaction Engineering (3)
Instructors: McFarland
Following review of the theory of reaction kinetics for catalyzed and noncatalyzed systems, detailed consideration is given to design and performance of catalysts and chemical reactors. Mathematical studies of stability and optimization are emphasized in relationship to mass, energy, and momentum transport.
Prerequisite: consent of instructor.

246 - Advanced Catalysis (3)
Instructors: McFarland, Scott
Theories of reaction rates. Heterogeneous and homogenous catalysis, including physical structure and characterization of catalysts. Catalyst poisoning.
Prerequisite: consent of instructor.

252 - Monitoring Process and Control System Performance (3)
Instructors: Seborg
Introduction to methods that can be used to monitor performance and to detect faults. Both model-based and data-driven approaches are considered. Emphasis is placed on statistical techniques for the analysis of multivariate time series data.
Prerequisite: consent of instructor.

255 - Methods in Systems Biology (3)
Instructors: Doyle
Fundamentals of dynamic network organization in biology (genes, proteins, metabolites). Emphasis on mathematical approaches to model and analyze complex biophysical network systems. Detailed case studies demonstrating successes of systems biology. Basic biological systems reviewed for non-biologists.
Prerequisites: prior coursework in cellular biology and mathematics; consent of instructor. Same course as BMSE 255.

256 - Seminar in Process Control (3)
Instructors: Doyle
Selected research topics in process control.


290 - Seminar (.5)
Instructors: Staff
Seminar featuring guest speakers and graduate students on topics of current research interest.
May be repeated for credit.

291 - Research Group Studies (1-2)
Instructors: Staff
Students or instructors present recently published papers and/or results relevant to their own research.
Prerequisite: consent of instructor.

594 - Special Topics (1-4)
Instructors: Staff
Special seminar on research subjects of current interest.


596 - Directed Reading and Research (1-12)
Instructors: Staff
Experimental or theoretical research undertaken under the direction of a faculty member for graduate students who have not yet advanced to candidacy.


598 - Master's Thesis Research and Preparation (1-12)
Instructors: Staff
Only for research underlying the thesis and writing the thesis.
Not applicable to course requirement for master of science degree.

599 - Dissertation Research and Preparation (1-12)
Instructors: Staff
Only for research underlying the dissertation and writing the dissertation.