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Course Criteria
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3.00 Credits
3 hours. Probability theory, random variables, discrete and continuous distributions and density functions, mathematical expectation, moment generating functions. Prerequisite: MATH 155 Calculus II. May be taken for honors.
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3.00 Credits
3 hours. Standard types of ordinary equations of the first and second order, linear equations with constant coefficient solution by series, and applications to geometry and physical science. Prerequisite: MATH 253 Calculus III and MATH 212 Matrix Algebra. Spring.
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3.00 Credits
3 hours. A proof-oriented treatment of the real number system, sequences, the topology of real numbers, continuous functions, differentiation, and integration. Prerequisites: MATH 253 Calculus III. May be taken for honors. Fall.
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3.00 Credits
3 hours. n-space. Subspaces and bases. Eigenvalues. Diagonalizing a matrix. Chain rule. Taylor's formula. Optimization. LaGrange multipliers. Gradient, curl and divergence. Green's, Stoke's, and Gauss' theorems. Curvilinear coordinates. Prerequisites: MATH 253 Calculus III and either MATH 212 Matrix Algebra or MATH 617 Linear Algebra. Offered concurrently with MATH 758 Vector Calculus. May be taken for honors.
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3.00 Credits
3 hours. Numerical methods for interpolation, integration, systems of linear equations, nonlinear equations, and ordinary differential equations. Error analysis. Several programming exercises. Prerequisites: MATH 155 Calculus II, MATH 212 Matrix Algebra and programming ability. May be taken for honors. Fall.
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2.00 Credits
2 hours. Departmental representatives will visit each student teacher during the professional semester. Additionally, departmental representatives will follow up with each area student during the first year of teaching with assistance and support. Concurrent enrollment in the professional semester is required. Offered on a Pass-Fail basis only.
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3.00 Credits
3 hours. The practice of mathematics in ancient, medieval, and modern times. Current developments in the philosophy and foundations of mathematics. Social and institutional factors. Standards of rigor. Prerequisite: MATH 150 Calculus I. Offered concurrently with MATH 707 History of Mathematics. May be taken for honors. Fall.
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3.00 Credits
3 hours. Elements of group theory and ring theory; subgroups, cyclic and permutation groups, homomorphisms, quotient groups, isomorphism theorems, subrings, and ideals. Applications to modular arithmetic, partitions and equivalence relations, polynomial rings, complex numbers, integral domains, and fields. Prerequisite: MATH 617 Linear Algebra or MATH 513 Discrete Structures. May be taken for honors. Fall.
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3.00 Credits
3 hours. Gaussian elimination; vector spaces, subspaces; bases and dimension; linear transformation; orthogonal projections and least squares; determinants, eigenvalues and eigenvectors; positive definite matrices; diagonalization of matrices and canonical form. Prerequisite: MATH 212 Matrix Albebra. Offered concurrently with MATH 717 Linear Algebra. May be taken for honors. Spring.
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3.00 Credits
3 hours. Simplex algorithm. Topics such as duality, revised and dual simplex algorithms, sensitivity analysis, transportation and assignment problems, network and flows. Prerequisite: MATH 212 Matrix Algebra or MATH 617 Linear Algebra. Offered concurrently with MATH 727 Linear Optimization Models. May be taken for honors. Fall.
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