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Course Criteria
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3.00 Credits
Prerequisite(s): MATH 3250 with a grade of C or better, and University Advanced Standing.. Provides a foundation in dynamical systems. Discusses fundamental topics of dynamics, including graphical analysis, orbits, periodic and fixed points, convergence, bifurcations, symbolic dynamics, chaos, and Sarkovskii's Theorem. May include fractals, complex functions, and fractal dimension.
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3.00 Credits
Prerequisite(s): MATH 3300 with a grade of C or higher and University Advanced Standing. Provides a deeper treatment of topics in modern algebra. Covers direct products of groups and the classification of finite Abelian groups. Covers the theory of rings including ideals, factor rings, various kinds of integral domains, fields, and polynomial rings.
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3.00 Credits
Prerequisite(s): MATH 4310 with a grade of C or higher and University Advanced Standing. Provides a deeper treatment of topics in the theory of groups, rings, and fields. Covers field extensions, algebraic extensions, finite fields, and Kronecker's Theorem. Includes applications to straightedge and compass geometric constructions. Covers other topics at the instructor's discretion which may include the Sylow Theorems, symmetry groups, and Galois Theory.
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3.00 Credits
Prerequisite(s): MATH 3250 with a grade of C or higher and University Advanced Standing. Covers vector spaces, linear transformations and matrices, dual spaces, inner product spaces, orthogonality, bilinear forms, eigenvalues, eigenvectors and generalized eigenvectors, diagonalization, and Jordan and other canonical forms.
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3.00 Credits
Prerequisite(s): MATH 3250 with a grade of C or higher and University Advanced Standing. Covers divisibility, irreducibility and primality, linear Diophantine equations, Pell's equation, continued fractions, congruences, Euler's theorem, arithmetic functions, primitive roots, quadratic reciprocity.
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3.00 Credits
Prerequisite(s): MATH 3250 with a grade of C or higher and University Advanced Standing. Introduces the ideas of topologies, compactness, connectedness, countability, separability, separation axioms, homeomorphisms, and the Baire Category Theorem.
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3.00 Credits
Prerequisite(s): MATH 2270, MATH 2280, and CS 1400, each with a grade of C or higher, and University Advanced Standing. Includes numerical solutions of equations in one variable, numerical solutions of linear and nonlinear system of equations, interpolations and polynomial approximation, and approximating eigenvalues and eigenvectors.
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3.00 Credits
Prerequisite(s): MATH 4610 with a grade of C or higher and University Advanced Standing. Introduction to numerical analysis II. Topics will include numerical differentiation and integration, numerical solutions of initial-value problems and boundary-value problems for ordinary differential equations, numerical.
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3.00 Credits
Prerequisite(s): STAT 4710 with a grade of C or higher and University Advanced Standing. Includes survival models, Markov Chains, life insurance and annuities, and Poisson processes. Prepares students for the life contingencies portion of Exam M of the Society of Actuaries.
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1.00 - 4.00 Credits
Prerequisite(s): Instructor Approval and University Advanced Standing. For mathematics majors. Provides mathematics-related work experience in an industrial, commercial, or research environment. Internship credit may not be used in fulfilling the mathematics major course requirements. May be taken two times for a maximum of 6 credits toward graduation. May be graded credit/no credit.
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