CENTER FOR APPLIED MATHEMATICS
GENERAL INFORMATION
The Center for Applied Mathematics administers a broadly based interdepartmental graduate program that provides opportunities for study and research over a wide range of the mathematical sciences. Each student develops a solid foundation in analysis, algebra, and methods of applied mathematics. The remainder of the graduate student's program is designed by the student and his or her Special Committee. For detailed information on opportunities for graduate study in applied mathematics, students should contact the director of the Center for Applied Mathematics, 657 Frank H. T. Rhodes Hall.
There is no special undergraduate degree program in applied mathematics. Undergraduate students interested in an application-oriented program in mathematics may select an appropriate program in the Department of Mathematics, the Department of Computer Science, or some department of the College of Engineering.
Graduate students in the center take courses related to their program of study that are offered by various departments. Below are listed selected courses in applied mathematics in the main areas of research interest of the center's members. Detailed descriptions of these courses can be found in the listings of the individual departments.
Selected Applied Mathematics Courses
Basic Graduate Courses in Applied Mathematics (and Analysis)
Math 413-414 Introduction to Analysis
Math 433-434 Introduction to Algebra
Math 436 Applications of Abstract Algebra
Math 611-612 Real and Complex Analysis
Math 615-616 Mathematical Methods in Physics
Math 621 Measure Theory and Lebesgue Integration
Math 622 Applied Functional Analysis
Math 631-632 Algebra (632 not offered 1997Ð98)
Math 651 Introductory Algebraic Topology
T&AM 612-613 Methods of Applied Mathematics
T&AM 614-615 Topics in Applied Mathematics
Analysis (and Differential Equations)
Math 427 Introduction to Ordinary Differential Equations
MATH 428 Introduction to Partial Differential Equations
Math 617 Dynamical Systems
Math 618 Smooth Ergodic Theory
Math 619-620 Partial Differential Equations
Math 652 Differentiable Manifolds
Math 711-712 Seminar in Analysis
Math 713 Functional Analysis
Math 715 Fourier Analysis
Math 722 Riemann Surfaces
Math 727-728 Seminar in Partial Differential Equations
Logic and Theory of Computing
CS 615 Theory of Concurrent Systems
CS 671 Introduction to Automated Reasoning
CS 682 Theory of Computing
CS 715 Seminar in Programming Refinement Logics
Math 486 Applied Logic I
Math 681 Logic
Math 781-782 Seminar in Logic
Math 783 Model Theory (not offered 1997Ð98)
Math 784 Recursion Theory
Math 787 Set Theory
Math 788 Topics in Applied Logic
Discrete and Numerical Mathematics
CS 422-522 Parallel Scientific Computing
CS 621 Matrix Computations
CS 622 Numerical Optimization and Nonlinear Algebraic Equations
CS 624 Numerical Methods for Differential Equations
CS 681 Analysis of Algorithms
CS 721-722 Advanced Topics in Numerical Analysis
CS 729 Seminar in Numerical Analysis
Math 425 Numerical Solution of Differential Equations (not offered 1997Ð98)
Math 727-728 Seminar in Partial Differential Equations
OR&IE 625 Scheduling Theory
OR&IE 630-631 Mathematical Programming I and II
OR&IE 632 Nonlinear Programming
OR&IE 633 Graph Theory and Network Flows
OR&IE 634 Combinatorial Optimization
OR&IE 635 Interior-Point Methods for Mathematical Programming
OR&IE 636 Integer Programming
OR&IE 639 Polyhedral Convexity
Information Communication and Control Theory
EE 411 Random Signals in Communications and Signal Processing
EE 425 Digital Signal Processing
EE 468 Communication Theory
EE 472 Digital Control
EE 495 Group Theory with Applications
EE 521 Theory of Linear Systems
EE 522 Theory of Nonlinear Systems
EE 525 Adaptive Filtering in Communication Systems
EE 526 Advanced Signal Processing
EE 528 Multisensor Digital Signal Processing
EE 561 Error Control Codes
EE 562 Fundamental Information Theory
EE 563 Communication Networks
EE 564 Decision Making and Estimation
EE 565 Queueing Networks
EE 567 Digital Communication
EE 573 Optimal Control and Estimation for Continuous Systems
EE 574 Estimation and Control in Discrete Linear Systems
EE 577 Artificial Neural Networks
Mathematical Biology
Bio S 662 Mathematical Ecology
Stat & Biom 451 Mathematical Modeling of Populations
Stat & Biom 651 Mathematical Population Studies and Modeling
Stat 697 & Biom 760 Special Topics in Theoretical and Computational Biology
Mathematical Economics
Econ 519 Econometrics I
Econ 520 Econometrics II
Econ 610 Stochastic Economics: Concepts and Techniques
Econ 617-618 Mathematical Economics
Econ 619-620 Advanced Topics in Econometrics
Mechanics and Dynamics
Chem E 731 Advanced Fluid Mechanics and Heat Transfer
Chem E 732 Mass Transfer
Chem E 751 Mathematical Methods of Chemical Engineering Analysis
Chem E 753 Applied Analysis of Nonlinear Systems: Studies in Stability and Bifurcation
EE 681 (also A&EP 761 ) Kinetic Theory
M&AE 601 Foundations of Fluid Dynamics and Aerodynamics
M&AE 602 Fluid Dynamics at High Reynolds Numbers
M&AE 732 Analysis of Turbulent Flows
M&AE 733 Stability of Fluid Flow
M&AE 734 Turbulence and Turbulent Flow
M&AE 736 Computational Aerodynamics
M&AE 737 Computational Fluid Mechanics and Heat Transfer
T&AM 570 Intermediate Dynamics
T&AM 578 Nonlinear Dynamics and Chaos
T&AM 579 Vibrations and Waves in Elastic Systems
T&AM 671 Advanced Dynamics
T&AM 672 Celestial Mechanics (also Astro 579)
T&AM 673 Mechanics of the Solar System (also Astro 571)
T&AM 675 Nonlinear Vibrations
T&AM 751 Continuum Mechanics and Thermodynamics
T&AM 752 Nonlinear Elasticity
T&AM 776 Applied Dynamical Systems
Probability and Statistics
EE 562 Fundamental Information Theory
EE 563 Communication Networks
EE 564 Decision Making and Estimation
EE 566 Queuing Networks
EE 664 Foundations of Inference and Decision Making
Math 671-672 Probability Theory
Math 674-675 Introduction to Mathematical Statistics
Math 777-778 Stochastic Processes
OR&IE 561 Queuing Theory and Its Applications
OR&IE 563 Applied Time-Series Analysis
OR&IE 650 Applied Stochastic Processes
OR&IE 651 Applied Probability
OR&IE 662 Advanced Stochastic Processes
OR&IE 663 Time-Series Analysis
OR&IE 665 Advanced Queuing Theory
OR&IE 670 Statistical Principles
OR&IE 671 Intermediate Applied Statistics
OR&IE 674 Design of Experiments
OR&IE 675 Statistical Analysis of Discrete Data
OR&IE 676 Statistical Analysis of Life Data
Robotics and Vision
CS 462 Robotics and Machine Vision
CS 661 Robotics
CS 662 Robotics Laboratory
CS 664 Machine Vision
CS 762 Robot Cafe
Theoretical/Mathematical Physics/Chemistry
Chem 792 Molecular Collision Theory
Chem 793 Quantum Mechanics I
Chem 794 Quantum Mechanics II
Chem 796 Statistical Mechanics
Chem 798 Special Topics in Physical Chemistry
EE 407 Quantum Mechanics and Solid State Physics
EE 412 Applied Solid State Physics
Phys 553-554 (Astro 509Ð510) General Relativity
Phys 572 Quantum Mechanics I
Phys 574 Quantum Mechanics II
Phys 561 Classical Electrodynamics
Phys 562 (Chem 796) Statistical Mechanics
Phys 563 Statistical Physics
Phys 651 Advanced Quantum Mechanics
Phys 652 Quantum Field Theory
