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Course Criteria
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4.00 Credits
Continues the study of calculus to limits, continuous functions, bounded functions, intermediate value theorem, Taylor's formula and L'Hompital's rule, vectors and their application, Cauchy's generalized law of the mean, functions of several variables, and partial differentiation. Prerequisite: MATH 2144. IV
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4.00 Credits
A continuation of MATH 3114 with the addition of implicit functions, transformations and mappings, double and triple integrals, curves and surfaces, line integrals, theory of integration, and infinite series. Prerequisite: MATH 3114. IV
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4.00 Credits
Combinatorial analysis, axioms of probability, discrete and continuous random variables, expectations and moment-generating functions, and limit theorems. Prerequisite: MATH 2144. Suggested for mathematics majors; may be taken as a major pattern elective in teaching mathematics. IV
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4.00 Credits
A continuation of MATH 3134. Sampling theory, estimation, maximum likelihood and unbiased estimators, statistical hypotheses, statistical tests, nonparametric methods, sufficient statistics, and other topics in statistical inference. Prerequisite: MATH 3134. Suggested for mathematics majors. May be taken as a major pattern elective in teaching mathematics. IV
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4.00 Credits
An axiomatic approach to the number system, general algebraic systems, groups, rings, integral domains, and fields. Prerequisite: Permission of instructor. IV
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4.00 Credits
An investigation of numerical methods for computer solutions of applied problems. Topics include review of calculus, round-off errors and computer arithmetic, solutions of equations in one variable, interpolation and polynomial approximation, approximation theory, numerical differentiation, and integration. Prerequisites: MATH 1324 or permission of instructor. Also listed as CS 3304. IV
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4.00 Credits
Acontinuation of MATH 3304 with the addition of initial value problems for ordinary differential equations, direct methods for solving linear systems, iterative techniques in matrix algebra, numerical solutions of nonlinear systems of equations, boundary value problems for ordinary differential equations, and numerical solutions to partial-differential equations. Prerequisite: MATH 4044. Also listed as CS 4054. IV
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4.00 Credits
A course offering students supervised instruction in a non-classroom setting. May not be used to meet the requirements for a mathematics major. CR/NC grading. Prerequisites: Junior or senior status and permission of mathematics program director.
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4.00 Credits
Readings on an approved topic. May be repeated once for credit. Standard or CR/NC grading. Prerequisites: Determined by topic. Major pattern elective in mathematics.
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4.00 Credits
Senior Seminar is the capstone course for the mathematics major. The course will encourage students to explore important mathematical ideas through the use and integration of previous mathematical courses and a variety of mathematical techniques. The course will include opportunities for students to read mathematical papers, write mathematics - both careful proofs as well as exposition - and to make mathematical presentations. The specific topics covered will be determined by the instructor.
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