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Course Criteria
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3.00 Credits
3 hours, 3 credits. This course is designed for students interested in the social sciences. Topics covered will be selected from elementary probability, theory of gambling, random walks, game theory, and linear programming. Emphasis is placed on a descriptive treatment of mathematical material and its application to the social sciences. PREREQ: Either three years of high school math or MAT 172. Note: MAT 300 may not be counted toward the MAT major.
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3.00 Credits
4 hours (2 lecture, 2 lab), 3 credits. An elementary treatment of statistical concepts. Data analysis using standard statistical methods available in the Statistical Package for Social Scientists or similar statistical software. PREREQ: MAT 132 and MAT 171. Notes: (1.) MAT 301 may not be counted toward the Mathematics major. (2.) An equivalent college-level statistics course may be substituted for MAT 132 as a prerequisite for this course.
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3.00 Credits
3 hours 3 credits. Intuitive discussion of topological concepts and problems, such as networks, map-coloring problems, one-sided surfaces, topological transformations, Jordan curve theorem, winding numbers and zeros of polynomials, fixed point theorems, and dimension. PREREQ: MAT 226.
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4.00 Credits
4 hours, 4 credits. Vector spaces, systems of linear equations, determinants, linear transformations, and matrices. PREREQ: MAT 176. With Departmental permission, MAT 176 may be taken as a COREQ.
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4.00 Credits
4 hours, 4 credits. The syllabus of this course is continued in MAT 315. Algebraic structures, such as groups, rings, and fields; their relations and applications to school and college mathematics, including the number systems of arithmetic and analysis. PREREQ: MAT 313.
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3.00 Credits
3 hours, 3 credits. Continuation of MAT 314. Further study of algebraic structures; polynomials; topics chosen from theory of equations; Galois theory; and rules and compass constructions. PREREQ: MAT 314.
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4.00 Credits
4 hours, 4 credits. Study of problems concerning numbers and the properties of numbers, such as divisibility, continued fractions, and congruences. Fermat's and Euler's theorems, quadratic residues and reciprocity law, elementary diophantine analysis, and introduction to algebraic numbers. Computer applications involving testing for primality and topics from coding theory. PREREQ: MAT 226 or Departmental permission.
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4.00 Credits
4 hours, 4 credits. The syllabus of this course is continued in MAT 321. Introduction to real analysis, the real number system, limits, continuity, differentiation, the mean value, and Taylor's theorems and applications. Riemann integration and improper integrals. PREREQ: Either MAT 226 or Departmental permission.
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4.00 Credits
4 hours, 4 credits. Continuation of MAT 320. Infinite series and power series, pointwise and uniform convergence, ndimensional Euclidean space, metric spaces, functions from Rn to Rm, continuity, and the differential as a linear map: inverse and implicit function theorems. PREREQ: MAT 320.
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4.00 Credits
4 hours, 4 credits. Exact and approximate solutions of ordinary differential equations, existence theorems, and applications to problems in the physical sciences. Series solutions; Laplace transforms and Fourier analysis. Computer applications. PREREQ: MAT 226.
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