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Computational and Applied Mathematics The George R. Brown School of Engineering 1 Ch a i r Matthias Heinkenschloss Pr o f e s s o r s John Edward Akin (joint MEMS) Liliana Borcea Michael M. Carroll (joint MEMS) Steven J. Cox Mark Embree Danny C. Sorensen William W. Symes Richard A. Tapia Yin Zhang Pr o f e s s o r s Em e r i t i Robert E. Bixby Sam H. Davis (joint CENG) John E. Dennis Angelo Miele (joint MEMS) Paul E. Pfeiffer Henry Rachford Chao-Cheng Wang (joint MEMS) Associate Pr o f e s s o r s Illya V. Hicks Béatrice Rivière Tim Warburton Assistant Pr o f e s s o r Wotao Yin Ad j u n c t Pr o f e s s o r s J. Bee Bednar Richard Carter Elmer Eisner Roland Glowinski Martin Golubitsky Donald W. Peaceman Ad j u n c t Associate Pr o f e s s o r s Sofia Davydycheva Amr El-Bakry Scott A. Morton Michael W. Trosset Ad j u n c t Assistant Pr o f e s s o r s Fabrizio Gabbiani Thomas Guerrero Cassandra M. McZeal Harel Z. Shouval Adam B. Singer Andreas S. Tolias In s t r u c t o r s Derek Hansen Susan Margulies Degrees Offered: BA, MCAM, MCSE, MA, PhD Courses within this major can provide foundations applicable to the many fields of engineering, physical sciences, life sciences, behavioral and social sciences, and computer science. Undergraduate majors have considerable freedom to plan a course of study consistent with their particular interests. The professional degree (MCAM), for persons interested in practicing within this field, emphasizes general applied mathematics, operations research and optimization, and numerical analysis, while the MA and PhD programs concentrate on research. Faculty research interests fall in the four general areas of numerical analysis and computation; physical mathematics; operations research and optimization; and mathematical modeling in physical, biological, or behavioral sciences. A further advanced degree program in computational science and engineering (CSE) addresses the current need for sophisticated computation in both engineering and the sciences. Such computation requires an understanding of parallel and vector capabilities and a range of subjects including visualization, networking, and programming environments. An awareness of a variety of new algorithms and analytic techniques also is essential to maximizing the power of the new computational tools.
2 De p a r t m e n t s / Computational and Applied Mathematics A joint MBA/Master of Engineering degree also is available in conjunction with the Jesse H. Jones Graduate School of Management. Degree Requirements for BA in Computational and Applied Mathematics For general university requirements, see Graduation Requirements (Undergraduate Students section, pages 2–5). Students majoring in computational and applied mathematics are required to complete the 53–56 semester hours spelled out in the following program of study. Introductory Courses: Typically completed during the first two years CAAM 210 Introduction to Engineering Computation CAAM 335 Matrix Analysis COMP 140 Computational Thinking* (or COMP 160 or COMP 170) MATH 101 Single Variable Calculus I* MATH 102 Single Variable Calculus II MATH 212 Multivariable Calculus+ *Students with prior experience with calculus and/or computational science may petition the department for a waiver. +Students may substitute Honors Calculus sequence (MATH 221, 222) for MATH 212. Entering students should enroll in the most advanced course commensurate with their background; advice is available from the CAAM department during Orientation Week. Intermediate Courses: Typically completed by the end of the third year CAAM 336 Differential Equations in Science and Engineering (or STAT 310 Probability and Statistics or STAT 331 Applied Probability) CAAM 378 Introduction to Operations Research and Optimization CAAM 401 Analysis I CAAM 402 Analysis II Advanced Courses: Typically completed during the fourth year CAAM 453 Numerical Analysis I CAAM 454 Numerical Analysis II Design Project: Typically completed during the fourth year CAAM 495 Senior Design Project I CAAM 496 Senior Design Project II Electives: Four courses at 300 level or above; two of which must be at the 400-level or above (chosen in consultation with a CAAM undergraduate advisor). Highly Recommended Electives: CAAM 415 Theoretical Neuroscience CAAM 420 Computational Science I CAAM 423 Partial Differential Equations I CAAM 436 Partial Differential Equations of Mathematical Physics CAAM 560 Optimization Theory MATH 425 Integration Theory MATH 427 Complex Analysis STAT 431 Overview of Mathematical Statistics
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