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Course Criteria
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1.00 Credits
Weekly seminar designed for students who wish to participate in mathematical competition such as the annual Putnam examination. Not to be counted toward any major or minor offered by the department. May be repeated for credit. Pass/Fail only.
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3.00 Credits
Introduction to several topics in applied mathematics including complex numbers, probability, matrix algebra, multivariable calculus, and ordinary differential equations. Not to be counted toward any major offered by the department except for the major in mathematical business. Credit not allowed for both 205 and 121, or for both 205 and 113. P-MTH 112.
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3.00 Credits
Rigorous proof-oriented development of important ideas in calculus. Limits and continuity, sequences and series, pointwise and uniform convergence, derivatives and integrals. Credit not allowed for both 211 and 311. (D)
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3.00 Credits
Essential concepts in coding theory and cryptography. Congruences, cryptosystems, public key, Huffman codes, information theory, and other coding methods. (D)
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3.00 Credits
Linear equations with constant coefficients, linear equations with variable coefficients, and existence and uniqueness theorems for first order equations. P-MTH 112. (D, QR)
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3.00 Credits
Mathematical models and optimization techniques. Studies in allocation, simulation, queuing, scheduling, and network analysis. P-MTH 111. (D, QR)
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1.50 Credits
Unconstrained and constrained optimization problems; Lagrange multiplier methods; sufficient conditions involving bordered Hessians; inequality constraints; Kuhn-Tucker conditions; applications primarily to problems in economics. P-MTH 113 and 121.
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1.50 Credits
Introduction to optimal control, including the Pontryagin maximum principle, and systems of nonlinear differential equations, particularly phase space methods. Applications to problems in economics, including optimal management of renewable resources. P-MTH 113 and 121.
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3.00 Credits
Study of statistical methods that have proved useful in many different disciplines. These methods include tests of model assumptions, regression, general linear models, nonparametric alternatives, and analysis of data collected over time. Knowledge of matrix algebra is desirable but not necessary. (D, QR)
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3.00 Credits
Advanced topics in linear algebra, special functions, integral transforms, and partial differential equations. Not to be counted toward any major offered by the department except for the major in mathematical business. P-MTH 205.
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