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Course Criteria
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4.00 Credits
4 credits An introduction to topics in Discrete Mathematics. This course covers methods of proof, induction and recursion, and other topics in discrete mathematics. Topics may include graph theory, trees, and symmetry groups. Prerequisite: MTH-102, MTH-105 or MTH-210.
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3.00 Credits
3 credits Systems of linear equations; vector spaces; linear independence; determinants; orthogonality; linear maps; eigenvectors. Pre- or corequisites: MTH-210; sophomore standing; or permission of instructor. Fall.
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3.00 Credits
3 credits First order differential equations, separable and exact; integrating factors; second order linear differential equations; series solutions of second order linear differential equations; higher order equations; existence and uniqueness theorems; systems of linear differential equations. Prerequisites: MTH-240, MTH-211. Pre- or Corequisite: MTH-212. Spring.
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3.00 Credits
3 credits Vectors, gradients, and directional derivatives, Lagrange multipliers, Taylor's theorem, multiple integrals, change of variables, line and surface integrals, Stokes' theorem. Prerequisites: B average in MTH-210 and MTH-211; MTH-212, MTH-240. Fall.
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3.00 Credits
3 credits Covers geometry from a modern point of view, with emphasis on non-Euclidean geometry, particularly projective geometry. Prerequisites: MTH-211, MTH-240. Spring.
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3.00 Credits
3 credits Theory of sets and probability; discrete and continuous random variables and probability distributions. Emphasizes foundations and utilizes the techniques of the calculus. Prerequisite: MTH-212 or MSD-111. Fall.
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3.00 Credits
3 credits Continuation of MTH-340. Foundations of mathematical statistics: normal distributions, estimation, confidence intervals and hypothesis testing; topics chosen from student's t-test, chi-square tests, analysis of variance and regression analysis. Emphasizes foundations and utilizes the techniques of the calculus. Prerequisite: MTH-340. Spring.
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3.00 Credits
3 credits Provides an introduction to modern abstract algebra. It emphasizes the axiomatic method to analyze the major algebraic systems. The instructor will choose the topics to be studied from among the following algebraic structures: integral domains, fields, complete ordered fields, groups, polynomials, rings, ideals and modules. Prerequisite: MTH-240. Fall.
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3.00 Credits
3 credits Chosen from advanced pure or applied mathematics. Topics vary, depending on instructor. Prerequisite: MTH-308.
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3.00 Credits
3 credits Analytic functions, conformal mapping, power series, Cauchy's theorem, calculus of residues. Prerequisite: MTH-308. Spring.
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