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Course Criteria
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3.00 Credits
Spring semester, alternate years. 3 semester hours. This course provides a survey of mathematicians of historical note, including their motivations and studies. Students will also examine classical problems and how they were solved. Unsolved problems in mathematics will be discussed. Prerequisite: MAT175.
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3.00 Credits
On demand. 3 semester hours. Estimation, decision theory, testing hypotheses, relationships in a set of random variables, basic model and design theory, and stochastic processes are examined. Prerequisite: MAT176.
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3.00 Credits
Spring semester, alternate years. 3 semester hours. This course introduces students to the basic structures of linear algebra, which include the following: matrices, determinants, vectors and vector spaces, inner product spaces, eigenvalues and eigenvectors. Applications and computational aspects of these topics will be presented. Prerequisite: MAT175. Corequisite: MAT176.
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3.00 Credits
Spring semester, alternate years. 3 semester hours. This course provides a study of Euclidean and non-Euclidean geometries. Prerequisites: MAT175 and MAT212.
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3.00 Credits
Fall semester, alternate years. 3 semester hours. This course examines analytic, numerical, and geometric techniques for solving first-order differential equations; bifurcations of first-order autonomous differential equations; second-order differential equations, with emphasis on the harmonic oscillator; Laplace transforms; eigenvalue/eigenvector and geometric methods for linear systems with constant coefficients; equilibrium point analysis of nonlinear systems; analysis of limit cycles. Applications from biology, physics, and economics are presented. Prerequisite: MAT311.
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3.00 Credits
On demand. 3 semester hours. This is a basic undergraduate course in complex variables. Topics will include analytic functions, Cauchy's integral formula, the residue calculus, and conformal mapping. Prerequisite: MAT275.
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3.00 Credits
Fall semester, alternate years. 3 semester hours. This course provides an introduction to algebraic structures via group theory. Students explore a careful development of the concept of a group and their elementary properties. Emphasis is placed on creating mathematical proofs. Some applications to physical problems are included. Prerequisites: MAT275 and MAT212.
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3.00 Credits
Spring semester, alternate years. 3 semester hours. This course is an extension of Abstract Algebra I, with ring, ideal, and field theory introduced and examined. Some Galois theory may be covered. Prerequisite: MAT317.
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3.00 Credits
On demand. 3 semester hours. The study of numerical methods involves the design and use of algorithms for solving large mathematical problems with a computer. Topics include estimation of accuracy, the use of series and approximation, and numerical integration and differentiation. Prerequisites: CSC251 and MAT176.
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3.00 Credits
On demand. 3 semester hours. This basic course in enumerative Combinatorics emphasizes developing combinatorical reasoning skills and applying these to solve problems in various areas of math and computer science. Topics covered will include basic counting principles, generating functions, recurrence relations, the principle of inclusion/exclusion, estimation, and modeling. Prerequisite: MAT219.
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