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CAAM 211 INTRO TO ENG COMPUTATION Credits 3.00 Spring 2000 * DISTRIBUTION COURSE: GROUP III Introduction to engineering and scientific computation: Engineering workstations, programming software systems, and numerical methods. Laboratory to illustrate the application of computational and visualization methods to problem analysis. Matlab serves as the primary computational and display tool with supplementary programs written in FORTRAN. Only one of the two courses Caam 210, 211 may be taken for credit. Prereq- Math 101. 001 MWF 02:00PM-02:50PM BL*131 Zhang, Yin *CURRENT ENR: 0 CAAM 322 INTRO TO REAL ANAYSIS II Credits 3.00 Spring 2000 Continuation of Caam 321. Linear maps and matrices, matrix norms, convergence of sequences, continuity and differentiability of functions on Rn, the derivative as a linear map, normed linear spaces, completeness, the contraction mapping principle, inverse and implicit function theorems, fundamental theorems on ODEs, compactness, multivariate integration. Prereq- Caam 321. 001 TTH 10:50AM-12:05PM DH*1064 Heinkenschloss, Matthias *CURRENT ENR: 0 CAAM 335 MATRIX ANALYSIS Credits 3.00 Spring 2000 Equilibria and the solution of linear and linear least squares problems. Dynamical systems and the eigenvalue problem with the Jordan form and Laplace transform via complex integration. Prereq- Math 211 and 212 and Caam 210 or 211. 001 MWF 09:00AM-09:50AM DH*1042 Cox, Steven *CURRENT ENR: 0 CAAM 336 DIFFERENTIAL EQUATIONS IN SCIENCE AND EN Credits 3.00 Spring 2000 Green's functions, exponential and series solutions, and numerical methods for initial and boundary value problems of mathematical physics. Dynamics of mass-spring systems and circuits, equilibria of solids, fluids and electromagnetic fields, heat flow and wave motion. Emphasis on scientific and engineering motivation and consequences and on modern computational methods. Prereq- Math 212 and Caam 210 or 211. 001 MWF 01:00PM-01:50PM PL*AMP Symes, William *CURRENT ENR: 0 CAAM 353 COMPUTATN'L NUMERICAL ANALYSIS Credits 3.00 Spring 2000 An introductory course in numerical analysis with computer applications. Prereq- Math 211. 001 MWF 11:00AM-11:50AM DH*1064 Borcea, Liliana *CURRENT ENR: 0 CAAM 378 INTRO TO OPERATIONS RESEARCH Credits 3.00 Spring 2000 An alternative to Caam 376 for students with a year of calculus. Some knowledge of linear algebra and of probability is desirable. 001 MWF 02:00PM-02:50PM DH*1042 Dean, Nathaniel *CURRENT ENR: 0 CAAM 420 INTRO COMPUTATIONAL SCIENCE Credits 3.00 Spring 2000 Basic principles of computational science, including vector and parallel computer architectures, parallel numerical algorithms, scientific visualization, analysis and enhancement of performance, and use of programming tools and environments. Programming assignments will involve hands-on experience with supercomputers and parallel computers. Prereq- Comp 210 and Caam 353. 001 MWF 11:00AM-11:50AM DH*1042 Moore, Douglas *CURRENT ENR: 0 CAAM 446 FINITE ELASTOSTATICS, THEORY AND MODERN Credits 4.00 Spring 2000 We will study and investigate properties of solutions to boundary value in finite elastostatics. We begin with some exact solutions for homogeneous isotropic materials. Later we will study exact solutions for inhomgeneous material. The second part of the course will investigate crystalline materials described by implicit Partial Differential Equations. We will look at selection principles, stability of solutions and approximability of composite materials . Prereq- CAAM 336. 001 TTH 02:30PM-03:50PM FL*412 Kloucek, Petr *CURRENT ENR: 0 001 Carroll, Michael *CURRENT ENR: 0 CAAM 452 COMP METHODS FOR DIFF. EQUA. Credits 4.00 Spring 2000 Finite difference, variational, and collocation methods for approximating numerically the solutions of ordinary and partial differential equations. Computer implementation to verify convergence to the solution. Prereq- Caam 335 and 336 or permission of instructor. 001 TTH 09:25AM-10:40AM PL*117 Kloucek, Petr *CURRENT ENR: 0 CAAM 454 OPTIMIZATION PROBLEMS IN COMPUTATIONAL E Credits 3.00 Spring 2000 An introduction to the formulation of optimization problems, with practical applications. Topics include appropriate algorithms for systems of nonlinear equations, parameter identification for differential equations, basic reduction methods, and examples from computational engineering and science. A complement to CAAM 460. Prerequisites: Proficiency in Fortran or C, and understanding of numerical linear algebra and calculus. 001 TTH 02:30PM-03:50PM DH*1075 Heinkenschloss, Matthias *CURRENT ENR: 0 CAAM 475 INTEGER & COMB. OPTIMIZATION Credits 3.00 Spring 2000 Modeling and solving optimization problems with discrete components, graphs and networks; network flow problems; minimum spanning trees; basic polyhedral theory; the knapsack problem; the plant location problem; the set packing problem; computational complexity; branch and bound; cutting planes; Lagrangian relaxation and Bender's decomposition. Prereq- Caam 471. Also offered as Econ 475. 001 MWF 10:00AM-10:50AM DH*1042 Cook, William *CURRENT ENR: 0 CAAM 491 INDEPENDENT STUDY Credits 3.00 Spring 2000 001 TBA TBA TBA *CURRENT ENR: 0 CAAM 502 UNIX FOR SCIENTIFIC & ENGINEERING APPLIC Credits 1.00 Spring 2000 Continuation of Caam 501. 001 W 12:00PM-12:50PM DH*1042 Fagan, Michael *CURRENT ENR: 0 CAAM 541 APPLIED FUNCTIONAL ANALYSIS II Credits 3.00 Spring 2000 Topics in linear and nonlinear functional analysis. For example semigroups, approximation theory, and wavelets. Prereq- CAAM 540 001 TTH 01:00PM-02:15PM DH*1046 Cox, Steven *CURRENT ENR: 0 CAAM 551 ADV NUMERICAL LINEAR ALGEBRA Credits 3.00 Spring 2000 Iterative and/or direct methods for large scale problems. 001 TTH 10:50AM-12:05PM DH*1075 Sorensen, Danny *CURRENT ENR: 0 CAAM 564 ENGI APPROACH TO OPTIMAL CONTROL Credits 3.00 Spring 2000 Optimal control theory and calculus of variations. Minimization of functionals depending on variable subject to differential constraints, nondifferential constraints, initial constraints, and final constraints. Analytical and computational methods. Engineering applications. Also offered as Mech 564. 001 TTH 04:00PM-05:20PM RL*231 Miele, Angelo *CURRENT ENR: 0 CAAM 570 ADVANCED TOPICS IN GRAPH THEORY Credits 3.00 Spring 2000 This course provides an overview of the main research topics in Graph Theory. Each student will report regularly on some selected area, progress reports will be supplemented by lectures given by the instructor, and each student will complete an extensive survey of their area. Prereq- CAAM 470 001 TTH 09:25AM-10:40AM AL*B109 Dean, Nathaniel *CURRENT ENR: 0 CAAM 582 MATHEMATICAL PROBABILITY II Credits 3.00 Spring 2000 Continuation of Caam 581. 001 MWF 10:00AM-10:50AM DH*1046 Olofsson, Peter *CURRENT ENR: 0 CAAM 591 INDEPENDENT STUDY Credits 1.00 Spring 2000 001 TBA TBA TBA *CURRENT ENR: 0 CAAM 592 TOPICS IN APPLIED MATH Credits 3.00 Spring 2000 001 MW 01:30PM-02:45PM DH*1075 Borcea, Liliana *CURRENT ENR: 0 CAAM 652 TOPICS IN NUM PART DIFF EQUAT Credits 3.00 Spring 2000 Content varies from year to year. 001 TBA *CURRENT ENR: 0 CAAM 800 THESIS Credits 0.00 Spring 2000 001 TBA TBA TBA *CURRENT ENR: 0
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