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Course Criteria
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1.50 Credits
O'Neill and Staff This course introduces concepts and statistical techniques that are critical to constructing and analyzing effective simulations, and discusses certain applications for simulation and Monte Carlo methods. Topics include random number generation, simulation-based optimization, model building, bias-variance tradeoff, input selection using experimental design, Markov chain Monte-Carlo (MCMC) and numerical integration. Offered occasionally
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1.50 Credits
Staff Data sets will be analyzed in terms of standard techniques including data analysis, point and interval estimation, and tests of hypotheses including goodness of fit tests. Further techniques will be selected from the general areas of non-parametric statistics, Bayesian statistics, and analysis of variance. Statistical software packages will be used. Prerequisite: Mathematics 31 or permission of the instructor. Offered every other year.
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1.50 Credits
Staff The course will introduce the fundamental structures of abstract algebra, including groups, rings, fields, vector spaces, and modules; polynomial and field extensions. Applications to number theory will be presented. Prerequisite: Mathematics 60. Offered jointly by CMC and Pomona College. Offered every fall semester.
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1.50 Credits
Aksoy Possible topics include: The spectral theorem for Hermitian matrices and normal operators, Canonical forms, QR factorization and least squares, Singular value decomposition, Calculus of vector and matrix valued functions, Matrix inequalities and positive matrices, Convexity and the duality theorem, Iterative methods for solving systems of linear equations. Prerequisite: Mathematics 60. Offered every other year.
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1.50 Credits
Fukshansky Properties of integers, congruences, Diophantine problems, quadratic reciprocity, number theoretic functions, primes. Prerequisite: Mathematics 131, 171, or permission of instructor. Offered jointly by CMC and Pomona College. Offered every other year.
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1.50 Credits
Staff Selected topics in computer science. May be repeated for credit. Permission of instructor required. During the , the topic will be ; the course will be taught by Professor Stough.
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1.50 Credits
Staff Fourier Series, Fourier Transforms, Distributions. Partial Differential Equations: Heat, Wave, Laplace's, Transport, Schr dinger, Black-Scholes. Reaction-diffusion equations, solitons, and numerical methods. Prerequisites: Mathematics 60 and 111. Offered every year.
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1.50 Credits
Staff Simulation Theory, Stochastic models of inventory, reliability, queuing, sequencing, and transportation. Prerequisite: Mathematics 151. Offered jointly by CMC, Claremont Graduate University, Harvey Mudd College, and Pomona College. Offered every other year.
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1.50 Credits
Staff Linear, integer, nonlinear, and dynamic programming. Applications to transportation problems, inventory analysis, classical optimization problems, and network analysis, including project planning and control. Prerequisites: Mathematics 32 and 60. Offered jointly by CMC, Claremont Graduate University, Harvey Mudd College, and Pomona College. Offered every other year.
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1.50 Credits
Staff Games in extensive form, combinatorial games, strategic equilibrium, matrix games, and minimax theorem, computation of optimal strategies, cooperative and non-cooperative solutions of bi-matrix games, coalitional games and the core, indices of power, bargaining set, nonatomic games. Prerequisite: Mathematics 60; Mathematics 151 recommended. Not open to students who have completed Economics 129. Game Theory. Offered every other year.
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