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Course Criteria
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3.00 Credits
Prerequisite: consent of department. Six hours maximum will be accepted for graduate credit.
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1.00 - 3.00 Credits
Prerequisite: consent of department. This course may be repeated to a total of six credits. The course consists of directed readings designed to meet the needs and interests of the individual student; regular conferences between the student and the instructor are required. The section number will correspond with credit to be earned.
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3.00 Credits
Prerequisites: a working knowledge of college algebra and consent of department. (This course is intended for candidates in the M.A. in Science Teaching program.) Topics covered include inequalities, complex numbers, theory of equations, mathematical induction, binomial theorem, progressions, infinite series and applications.
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3.00 Credits
Prerequisites: a working knowledge of plane geometry and college algebra and consent of department. (This course is intended for candidates in the M.A. in Science Teaching program.) Plane and solid geometry by analytic methods. Topics covered include vectors, lines, conic sections, translation and rotation of axes, polar coordinates, parametric representations; plane and three-space curves and surfaces.
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3.00 Credits
Prerequisite: MATH 6005 or 6006 or consent of department. (This course is intended for candidates in the M.A. in Science Teaching program.) Topics selected from inequalities, theory of equations, Euclidean geometry, and non-Euclidean geometry.
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3.00 Credits
Prerequisite: MATH 4020. Space figures: similarity and trigonometry, area and volume measurement, elements of spherical geometry, plane coordinate geometry. This course may be used for degree credit only in the elementary education curriculum.
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3.00 Credits
Prerequisites: MATH 4101. MATH 4101 may be taken concurrently. System of linear ordinary differential equations, fundamental matrices, nonlinear systems of ODE's, stability, limit cycles, separation of variables, heat equation, wave equation, Laplace's equation, Sturm-Liouville boundary value problems, Green's functions, integral transforms, conformal mapping, complex integration.
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3.00 Credits
Prerequisites: MATH 4101 or consent of department. Dynamical systems, elementary bifurcations, chaos, nonlinear PDE, characteristics, shocks, calculus of variations, Euler-Lagrange equation, normed linear spaces, linear operators, convex analysis, optimization.
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3.00 Credits
Prerequisite: MATH 4104 or 4411. Calculus of residues, Fourier and Laplace transforms, orthogonal expansion; special functions; solution of boundary value problems of partial differential equations by various methods; separation of variable, transform techniques; Sturm-Liouville theory; perturbation and asymptotic developments; Green's functions; the method of characteristics.
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3.00 Credits
Prerequisites: MATH 4101 or 4221. Ordinary differential equations in the real and complex domains, existence and uniqueness theorems, linear systems with constant and periodic coefficients. Linear differential equations or order n, self-adjoint eigenvalue problems, nonlinear equations, and stability theory.
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