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Course Criteria
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3.00 Credits
Divisibility, primes, congruencies, Fermat’s Theorem, number theoretic functions, primitive roots and indices, the quadratic reciprocity law.
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3.00 Credits
The nature of libraries of procedures for solving mathematical problems, including the design parameters, selection of algorithms, problems with reliability and transportation. Several major mathematical packages will be examined in detail, including IMSL, LINPACK, EISPACK, MINPACK. On demand. Prerequisites: Computer Science 118 or approval of the department head; Mathematics 245 and Engineering 225 with minimum grades of C.
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3.00 Credits
Examination of central ideas, major developments, and important issues in mathematics from ancient times to the present. Historical overview of the evolution of the discipline through comparative examination of specific theories and results. Prerequisite: Mathematics 300 with a minimum grade of C.
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3.00 Credits
Mathematical theory of interest with applications, including accumulated and present value factors, annuities, yield rates, amortization schedules and sinking funds, depreciation, bonds and related securities. Recommended for students planning to take actuarial exams. Prerequisites: MATH 1920 with a minimum grade of C, or approval of the Mathematics Department Head.
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3.00 Credits
Introduction to linear programming, duality, transportation and assignment problems, integer programming. Prerequisites: CPSC 1020 or CPSC 1100, MATH 2200 with a minimum grades of C, or approval of the Mathematics Department Head.
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3.00 Credits
Network flows, Markov chains and applications, queuing theory and applications, inventory theory, decision theory, and games. Prerequisites: CPSC 1020 or CPSC 1100 or equivalent, MATH 3100 or MATH 4100 with minimum grades of C, or approval of the Mathematics Department Head.
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3.00 Credits
Vector analysis through Stokes' Theorem and the Divergence Theorem. Topics in advanced calculus including implicit functions, Jacobians, interchange of limit processes, and uniform convergence of series of functions; introduction to power series solutions of differential equations. Prerequisites: Mathematics 245, 255 with minimum grades of C.
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3.00 Credits
Systems of differential equations; existence and uniqueness theorems; linear systems; phase plane analysis; stability theory; applications. Prerequisites: Mathematics 245, 255 with minimum grades of C.
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3.00 Credits
Systems of differential equations; existence and uniqueness theorems; linear systems; phase plane analysis; stability theory; applications. Prerequisites: MATH 2450, MATH 2550 with minimum grades of C or department head approval.
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3.00 Credits
Classification and derivation of some elementary partial differential equations arising in applications. Separation of variables, Sturm-Liouville problems and orthogonality, Fourier Series. Diffusion, wave, and Laplace's equations in various coordinate systems with various boundary and initial conditions. Laplace transform methods and D'Alembert's solution. First order equations and weak solutions.On demand. Prerequisites: Mathematics 245, 255 with minimum grades of C.
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