300

This course focuses on ordinary differential equations. It includes variable separable equations, equations with homogeneous coefficients, exact equations, first order linear equations, applications, homogeneous linear equations with constant coefficients, undetermined coefficients, variation of parameters, power series solutions, linear systems of equations and Laplace transforms.

This course provides a foundation in linear algebra together with applications. Topics include systems of linear equations; linear transformations and their properties; matrices, matrix algebra, and properties of special matrices; vector spaces (with a focus on real-valued vectors) and their properties. Applications may include computer graphics, radiography, ranking algorithms, Markov processes, and other problems from computer science.

An introduction to discrete structures, this course covers such topics as basic logic, sets, basic proof techniques, relations, functions, the basics of counting and probability, graphs and trees.

This course is a continuation of the probability concepts learned in MATH 31400. It covers key concepts related to discrete and continuous univariate random variables and multivariate random variables and their applications. Topics include probability density functions, cumulative distribution functions, expectation, variance, covariance, jointly distributed random variables, moment generating functions, and conditional distributions. This course addresses topics on actuarial Exam P.  

This course is a continuation of the statistical methods introduced in MATH 31400. Students will perform nonparametric hypothesis tests and hypothesis tests on categorical data, compute statistical power and significance, perform multiple regression analysis, complete a one-way analysis of variance, apply percentile matching and maximum likelihood, and perform likelihood ratio tests. Students will also use statistical software to solve complex problems.

The study of Euclid’s geometry, its strengths and weaknesses, famous and advanced theorems and its impact on the development of geometry. This latter includes axiomatic systems and proofs, the parallel axiom and the analysis of constructions and transformation geometry.

This course surveys the historical development of mathematics spanning from the pre-Greek period to modern times. Biographical information on mathematicians and historical analysis of each era are included, with an emphasis on famous results and theorems.

Students examine floating point arithmetic, polynomial interpolation, numerical methods of integration, numerical solution of non-linear equations and numerical linear algebra.

This course provides a formal presentation of the real number system and Euclidean vector spaces (inner products, norms and distance functions), compactness and connectedness, continuity, differentiation, and integration.

A continuation of MATH 36000, this course studies uniform convergence, sequences and series of functions, differential and integral calculus for functions of several variables, the Implicit Function Theorem and the Inverse Function Theorem.

This course provides students the opportunity to study topics of interest to mathematicians. Subject matter will vary.