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Course Criteria
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3.00 Credits
Advanced topics in Euclidean geometry are considered using synthetic, analytic, vector, and transformational formats. Included are axiomatics and non-Euclidean geometry, topics in logic, and methods of proof appropriate for geometry. 3 credit hours. Prerequisite: MATH 212 or 247. Offered fall and spring.
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4.00 Credits
Problem-solving strategies in mathematics are identified. The level of problems and their analyses is designed to give students confidence in their ability to handle problems and a basis for the teaching of problem analysis. 4 credit hours. Prerequisite: MATH 143, 144, and either 209 or consent of department chair. Offered fall and spring.
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3.00 Credits
A continuation of Mathematics 314, study includes Lagrange multipliers, line integrals, Green's Theorem, transformations and the Jacobian, and an introduction to analysis involving limits and the derivative. 3 credit hours. Prerequisite: MATH 314. Offered fall (odd years).
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3.00 Credits
The fundamentals of differential equations are studied in the context of applications. Topics include analytical and numerical solutions of first- and second-order equations, systems of equations, and modeling. 3 credit hours. Prerequisite: preceding or concurrent enrollment in MATH 314. Offered as needed.
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3.00 Credits
Algorithms and computer programs are used/developed to solve various mathematical problems. Topics include numerical solutions of equations, numerical differentiation and integration, and interpolation and approximation of functions. 3 credit hours. Prerequisite: MATH 213 and one computer science course, or consent of department chair. Offered as needed.
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3.00 Credits
Operations research is the systematic application of mathematical techniques for generating better decisions for real-world problems. Besides linear programming, topics may include queuing and network analysis. 3 credit hours. Prerequisite: CSCI 102 or higher, and either MATH 212 or both 200 and 247, or consent of department chair. Offered as needed.
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3.00 Credits
Topics include number systems, divisibility, primes and factorization, Diophantine problems, congruences, and Euler's and Fermat's Theorems. 3 credit hours. Prerequisite: MATH 212 or 247. Offered as needed.
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3.00 Credits
The definitions and properties of groups, rings, and fields are studied. Properties of familiar number systems are exhibited as special cases of these more general and abstract systems. 3 credit hours. Prerequisite: MATH 315. Offered fall.
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3.00 Credits
Several important areas in noncontinuous mathematics are introduced, including graph theory and its applications, difference equations, and finite-state machines. 3 credit hours. Prerequisite: MATH 212, or 200 and 247. Offered spring.
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3.00 Credits
Topics include the development of both discrete and continuous probability theory, combinatorics, mathematical expectation, joint distributions, and sampling distributions. 3 credit hours. Prerequisite: MATH 314. Offered fall.
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