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Course Criteria
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3.00 Credits
P: MATH M216 or consent of instructor. Emphasis on applications: systems of linear equations, vector spaces, linear transformations, matrices, simplex method in linear programming. Computer used for applications. Credit not given for both MATH M301 and MATH M303. (Spring-odd years)
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4.00 Credits
P: MATH M216. Elementary geometry of 2,3, and n-space; functions of several variables; partial differentiation; minimum and maximum problems; multiple integration. (Fall)
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3.00 Credits
P: MATH M311. Differential calculus of vector-valued functions, transformation of coordinates, change of variables in multiple integrals. Vector integral calculus: line integrals, Green's theorem, surface integrals, Stokes' theorem. Applications. (Occasionally)
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3.00 Credits
P: MATH M216. Measurement of interest: accumulation and discount, equations of value, annuities, perpetuities, amortization and sinking funds, yield rates, bonds and other securities, installment loans, depreciation, depletion, and capitalized cost. (Fall-odd years)
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1.00 - 3.00 Credits
P: consent of instructor. A problem- solving seminar to prepare students for the actuarial exams. May be repeated up to three times for credit. (Spring)
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3.00 Credits
P: MATH M216. Derivation of equations of mathematical physics, biology, etc. Ordinary differential equations and methods for their solution, especially series methods. Simple vector field theory. Theory of series, Fourier series, applications to partial differential equations. Integration theorems, Laplace and Fourier transforms, applications. A student may not receive credit for both MATH M313 and MATH M343. (Spring-even years)
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3.00 Credits
P: MATH M216 and MATH M311, which may be taken concurrently. R: MATH M118. The study of probability models that involve one or more random variables. Topics include conditional probability and independence, gambler's ruin and other problems involving repeated Bernoulli trials, discrete and continuous probability distributions, moment generating functions, probability distributions for several random variables, some basic sampling distributions of mathematical statistics, and the central limit theorem. Course topics match portions of Exam for Course 1 of the Society of Actuaries. Credit not given for both MATH M360 and MATH M365. (Fall- even years)
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3.00 Credits
P: MATH M360. R: ECON E270. An introduction to statistical estimation and hypothesis testing. Topics include the maximum likelihood method of estimation and the method of moments, the RaoCarmer bound, large sample confidence intervals, type I and type II errors in hypothesis testing, likelihood ratio tests, goodness of fit tests, linear models, and the method of least squares. (Spring- odd years)
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3.00 Credits
P: CSQ 0201, or equivalent or consent of instructor. R: MATH M215-MATH M216. Interpolation and approximation of functions, solution of equations, numerical integration and differentiation. Errors, convergence, and stability of the procedures. Students write and use programs applying numerical methods. (Fall-even years)
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3.00 Credits
P: MATH M216. Sets, functions and relations, groups, real and complex numbers. Bridges the gap between elementary and advanced courses. Recommended for students with insufficient background for 400-level courses, for M.A.T. candidates, and for students in education. Not open to students who have received credit for MATH M403 or MATH M413. Credit given only for one of MATH M391, MATH M393. (Spring-even years)
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