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Course Criteria
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6.00 Credits
(See the course description for the Cooperative Education course number 3691.)
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3.00 Credits
This course develops techniques for solving differential equations, presents theory to support those techniques, and includes applications of differential equations. The course includes the study of equations of order one, linear differential equations, non-homogeneous equations, the Laplace transform, and systems of equations. Prerequisite: MAT 2318.
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3.00 Credits
This course covers some methods for finding solutions of differential equations not considered in MAT 4301. It includes non-linear differential equations, power series solutions of differential equations, Fourier series, and an introduction to methods of solutions of partial differential equations of mathematical physics: heat and wave equations. Prerequisite: MAT 4301 and MAT 3317.
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3.00 Credits
This course is a chronological study of the development of mathematics. It includes those mathematicians and periods in which the study of certain areas of mathematics prevailed. Prerequisite: MAT 2317.
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3.00 Credits
This course presents the real numbers, least upper bound and greatest lower bound, sequences and series of real numbers, monotone and Cauchy sequences, limit superior and limit inferior, metric spaces, connected, complete and compact metric spaces, continuous functions on metric spaces, sequences and series of functions, and the three famous theorems-Weierstrass Approximation Theorem, Picard Existence Theorem, and the Ascoli-Arzela Theorem. Prerequisite: MAT 3317.
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3.00 Credits
This course will cover operations on sets, properties of functions, topology of the real line, metric spaces, topological spaces, connectedness, compactness, and product and quotient spaces. Prerequisite: MAT 3317 or permission of instructor.
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3.00 Credits
This course is a continuation of MAT 4311, Real Variables I. This course extends the study to include the topology of Euclidean spaces, differentiability in Euclidean Spaces, and metric spaces. Sequences of functions, uniform convergence, convergence of series, and power series will also be covered. Prerequisite: MAT 4311.
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3.00 Credits
This course presents differential and integral calculus of functions with domain and range in Euclidean nspace. Topics include geometry of n-space, sequences and series in n-space and of functions, uniform convergence, improper integrals with parameters, Fourier series, extrema, differentiation of transformations, implicit function theorems, transformations of multiple integrals, differential forms, and Green, Gauss, and Stokes Theorems in a general set up. Prerequisite: MAT 3317.
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3.00 Credits
Students may enroll for study of an area of mathematics not given in a formal course. Approval must be given by the department chair and the instructor. All parties must agree on the course format and content. This course is limited to senior mathematics majors.
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3.00 Credits
Mathematical model building in both discrete and continuous cases will be developed. A variety of mathematical problems in physical, biological, social, and behavioral sciences will be discussed. Specific problems will be given in applied dynamical systems, differential and integral equations and some statistical processes. In every topic, the emphasis will be on construction, interpretation, analysis, simulation, and testing of models. Prerequisites: MAT 3317, MAT 4301, MAT 3310, and CSC 1311.
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