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Course Criteria
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3.00 Credits
Staff. Prerequisite(s): MATH 360. Continuation of MATH 360.
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3.00 Credits
Staff. Prerequisite(s): MATH 240. Students who have already received credit for either Math 370, 371, 502 or 503 cannot receive further credit for Math 312 or Math 313/513. Students can receive credit for at most one of Math 312 and Math 313/513. Syllabus for MATH 370-371: an introduction to the basic concepts of modern algebra. Linear algebra, eigenvalues and eigenvectors of matrices, groups, rings and fields. MATH 502-503 is a masters level version of this course.
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3.00 Credits
Staff. Prerequisite(s): MATH 370. Students who have already received credit for either Math 370, 371, 502 or 503 cannot receive further credit for Math 312 or Math 313/513. Students can receive credit for at most one of Math 312 and Math 313/513. Continuation of MATH 370.
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3.00 Credits
Staff. Prerequisite(s): MATH 241 or permission of instructor. Complex numbers, DeMoivre's theorem, complex valued functions of a complex variable, the derivative, analytic functions, the Cauchy-Riemann equations, complex integration, Cauchy's integral theorem, residues, computation of definite integrals by residues, and elementary conformal mapping.
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3.00 Credits
Staff. Prerequisite(s): MATH 241 or permission of instructor. After a rapid review of the basic techniques for solving equations, the course will discuss one or more of the following topics: stability of linear and nonlinear systems, boundary value problems and orthogonal functions, numerical techniques, Laplace transform methods.
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3.00 Credits
Staff. Prerequisite(s): MATH 241 or permission of instructor. Knowledge of PHYS 150-151 will be helpful. Method of separation of variables will be applied to solve the wave, heat, and Laplace equations. In addition, one or more of the following topics will be covered: qualitative properties of solutions of various equations (characteristics, maximum principles, uniqueness theorems), Laplace and Fourier transform methods, and approximation techniques.
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3.00 Credits
Staff. Prerequisite(s): MATH 240. Random variables, events, special distributions, expectations, independence, law of large numbers, introduction to the central limit theorem, and applications.
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3.00 Credits
Staff. A mathematical approach to game theory, with an emphasis on examples of actual games. Topics will include mathematical models of games, combinatorial games, two person (zero sum and general sum) games, non-cooperating games and equilibria.
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3.00 Credits
Staff. Prerequisite(s): Permission of instructor. May, with permission, be repeated for credit. A seminar devoted to the study of algorithms for solving problems in discrete mathematics.
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3.00 Credits
Staff. Prerequisite(s): Permission of instructor; no formal mathematical prerequisite, but one year of college calculus would be helpful. Introduction to probability and statistics with illustrative material drawn from cases. Statistical inference. Basic concepts of information theory. This course may not be taken to satisfy the requirements of the major.
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