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Mathematics and Statistics
M321 Modern Geometry 3 credits
This course is required for the Mathematics Education major. The course is designed to be an
introduction to the foundations of geometry. Topics include: Euclidean geometry, non-Euclidean
geometry, projective geometry, and geometric transformations. Offered in alternate spring semesters.
Prerequisite: M152.
M332 Probability 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.
Offered spring semester. Prerequisite: M152.
M341 Differential Equations with Applications 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).
M342 Numerical Analysis 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 CS106 or
CS110/111, and M251, M252.
M344 Applied Mathematics 3 credits
This course serves physics majors as well as those mathematics majors whose area of interest is 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.
M348 Complex Analysis 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 and poles. Prerequisite: M251.
M350-359 Special Topics 3 credits
Special topics in mathematics may be offered depending on student interest.
M361 Operations Research 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. Offered in alternate spring semesters.
Prerequisites: M252 and M332.
M401 Abstract Algebra 3 credits
This course provides an introduction to algebraic structures. Topics include: groups, subgroups,
quotient groups, group homomorphisms, rings, ideals, and fields. Offered in alternate spring semesters.
Prerequisites: M251, M252, and M301.
M408 Topics in Mathematics 3 credits
This course is designed to strengthen the mathematical background of students in elementary
education. It is required for the endorsement in mathematics for elementary education. The course
consists of a selection of mathematical topics of wide interest and applicability. Topics include: graph
models, linear programming, scheduling and packing problems, allocation problems, and social
decision problems. This course may not be used as an upper-division elective for the mathematics major
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