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.

This course is a continuation of the probability concepts learned in Applied Probability and Statistics. 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 found on Exam P for actuarial credentialing.  

This course is a continuation of the statistical methods introduced in Applied Probability and Statistics. 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 will provide students with an understanding of the fundamental concepts of financial mathematics and how those concepts are applied in calculating present and accumulated values for various streams of cash flows as a basis for future use in: reserving, valuation, pricing, asset/liability management, investment income, capital budgeting, and valuing contingent cash flows. These are all topics covered on the financial mathematics actuarial exam (Exam FM).

A study of complex numbers, analytic functions, integration, power series and calculus of residues is presented.

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