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  • 4.00 Credits

    Matrices, determinants, systems of linear equations, linear transformations, vector spaces, eigenvalues, applications, and additional topics chosen from numerical methods for solving linear equations, canonical forms, quadratic forms. Meets: weekly for three 65-minute periods. Prerequisite: C- or better in MATH 17 or concurrent registration in MATH 17. Offered fall semester.
  • 4.00 Credits

    Ordinary differential equations: simple models, exact solutions and the behavior of solutions, applications; additional topics chosen from systems of differential equations, physical and biological models, numerical methods for solution, nonlinear systems, and partial differential equations. Meets: weekly for three 65-minute periods. Prerequisite: C- or better in MATH 17. Offered spring semester.
  • 4.00 Credits

    The mathematical theory of graphs, trees, digraphs and networks, with applications, including map coloring, scheduling, and optimization problems. Meets: 150 minutes weekly. Prerequisite: C- or better in either MATH 23 or MATH 103. Offered fall semester in even-numbered years.
  • 4.00 Credits

    A mathematical investigation of the integers: prime numbers, unique factorization, congruence, theorems of Fermat and Euler, quadratic reciprocity, Diophantine equations, applications in cryptography and coding theory. Meets: 150 minutes weekly. Prerequisite: C- or better in MATH 17. Offered fall semester in odd-numbered years. Same as: MAT 863.
  • 4.00 Credits

    Topics include partitions, probability, combinatories, graph theory, codes, cryptography, recurrence relations and generating functions. The course may also cover other topics including game theory, linear programming and stochastic processes. Meets: weekly for three 65-minute periods. Prerequisite: C- or better in MATH 100. Offered spring semester in even numbered years.
  • 4.00 Credits

    An introduction to methods used in solving problems in physics and other sciences. Calculus of variations and extremum principles. Orthogonal functions and Sturm-Liouville problems. Fourier series. Series solutions of differential equations. The partial differential equations of physics. Transform and Green's function methods of solution. Nonlinear equations and chaos theory. Four hours lecture. Prerequisite: MATH 104 and PHYS 11. Offered fall semester. Same as: PHYS 125.
  • 4.00 Credits

    Topics include properties of the real and complex number systems, introduction to point set typology, limits of sequences and functions, continuity, differentiation and integration of real and complex functions, and infinite series and uniform convergence. Meets: weekly for three 65-minute periods. Prerequisite: C- or better in MATH 17, MATH 100. Offered fall semester.
  • 4.00 Credits

    Topics include integration of real and complex functions, Taylor series, Laurent series, residues and applications, Cauchy integral formula, Residue Theorem, conformal mappings, implicit and inverse function theorems. Meets: weekly for three 65-minute periods. Prerequisite: MATH 127. Offered spring semester in odd-numbered years.
  • 4.00 Credits

    The fundamentals of probability theory including discrete and continuous random variables and their distributions, conditional probability and independence, joint probability distributions, expected values, moment generating functions, laws of large numbers, and limit theorems. Special topics selected from random walks, Markov chains, and applications as time permits. Meets: weekly for three 65-minute periods. Prerequisite: C- or better in MATH 17 and MATH 100. Offered fall semester in odd-numbered years. Same as: MAT 866.
  • 4.00 Credits

    An emphasis on the numerical solution of equations and systems of equations, interpolation, numerical integration, numerical solution of differential equations. Implementation through computer programming. Meets: 150 minutes weekly. Prerequisite: C- or better in CSCI 9 and in MATH 8. Offered fall semester in odd-numbered years. Same as: CSCI 133.
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