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Course Criteria
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3.00 Credits
Continuation of MA 131M. Exponential, logarithmic and trigonometric functions, formal integration techniques, Taylor polynomials and infinite series. Prerequisite: MA 131M.
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3.00 Credits
Concepts, methods and applications of statistics in the natural sciences. Elementary probability theory, random variables, discrete and continuous probability distributions. Statistics and sampling distributions, estimation and hypothesis testing, linear regression. Credit is given for only one of MA 133M or one of the behavioral science statistics courses, but not both.
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3.00 Credits
Algorithms, induction, graphs, digraphs, permutations, combinations, Boolean algebra and difference equations. Emphasis on discrete rather than continuous aspects. Prerequisite: MA 131M.
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1.00 Credits
Continuation of Mathematics Seminar. Four semesters required for one course credit.
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3.00 Credits
Continuation of MA 132M. Three-dimensional analytic and vector geometry, partial and directional derivatives, extremes of functions of several variables, multiple integration, line and surface integrals, Green's and Stoke's Theorem. Prerequisite:MA 132M.
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3.00 Credits
Existence and uniqueness theorems, nth-order linear differential equations, Laplace transforms, systems of ordinary differential equations, series solutions and numerical methods. Prerequisite: MA 132M.
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3.00 Credits
Vector spaces, linear transformations, matrices, eigenvalues, eigenvectors and systems of linear equations. Prerequisite: MA 132M.
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3.00 Credits
Classical techniques for optimizing univariate and multivariate functions with or without constraints. Linear programming through simplex method, duality theory. Non-linear programming through Lagrange multipliers, quadratic and convex conforms. Prerequisite: MA 233M.
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1.00 Credits
Continuation of Mathematics Seminar. Four semesters required for one course credit.
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2.00 Credits
First in two-course sequence covering probability theory, random variables, random sampling, various distribution functions, point and interval estimation, tests of hypotheses, regr ession theory, non-parametric tests. Prerequisite: MA 233M.
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