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Course Criteria
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2.00 Credits
2 credits This calculus-based course is designed to provide mathematics majors and minors with an introduction to the mathematical underpinnings of statistics. Topics include: probability axioms, probability, Bayes' Theorem, random variables, discrete and continuous probability distributions, and expected value. Prerequisites: M152.
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3.00 Credits
3 credits This course provides an introduction to the theory, methods, and applications of ordinary differential equations. Topics include: first order differential equations, linear differential equations with constant coefficients, and systems of differential equations. Prerequisites: M251 and M252 (may be concurrent).
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3.00 Credits
3 credits This course provides an introduction to the theory and methods of numerical analysis. Topics include: numerical methods for solving linear and nonlinear equations, polynomial approximation of functions, numerical integration and differentiation, numerical approximation to solutions of differential equations, direct and iterative methods for solving systems of equations. Prerequisites: Either CS105 or CS110/111, and M251, M252.
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3.00 Credits
3 credits This course is especially designed to serve the physics major as well as the mathematics major who is placing emphasis on mathematical analysis. Topics include: Fourier series, the complex numbers, analytic functions, and derivatives and integrals of complex functions. Other topics may include Laurent series and residues, partial differential equations and boundary value problems. Prerequisites: M251 and M252.
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3.00 Credits
3 credits This course provides an introduction to elementary number theory. Topics include: divisibility, prime and composite numbers, congruences, arithmetical functions, primality testing, factorization techniques, and applications to cryptography. Prerequisite: M152.
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3.00 Credits
3 credits Special topics in mathematics may be offered depending on student interest. Some recently taught topics courses are listed below.
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3.00 Credits
3 credits This course provides an introduction to the theory of functions of one complex variable. Topics include: the complex numbers, the complex derivative, analytic functions, power series, complex integration, Cauchy's Theorem and Cauchy's Integral Formula, Laurent series, and residues andpoles. Prerequisite: M251.
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3.00 Credits
3 credits This course provides an introduction to the historical developments in mathematics. Topics include: geometry (from Greek to modern day), number theory (from Greek to modern day), infinity, polynomial equations, calculus, complex numbers, topology, group theory, and set theory. Prerequisite: M152.
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3.00 Credits
3 credits This course is required for the mathematics education major, providing an introduction to techniques and applications of operations research. Topics include: linear programming, game theory, queuing theory, Markovian decision processes, and decision theory. Prerequisites: M252 and M332.
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3.00 Credits
3 credits This course provides an introduction to algebraic structures. Topics include: groups, subgroups, quotient groups, group homomorphisms, rings, ideals, and fields. Prerequisites: M251, M252, and M301.
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