30000

History of Mathematics is an online reading course for education majors and anyone with an interest in mathematics and mathematicians that have helped shape our world today. The reading examines how diverse cultures and history from antiquity to the eighteenth century have shaped the development of mathematical thought and how these mathematical ideas have influenced history and society.

Financial Mathematics offers a conceptual introduction to the fundamental concepts of interest theory and financial derivatives. Topis covered include present and accumulated values for various cash flows as a basis for reserving, valuation, pricing, asset liability management, investment income, capital budgeting, contingent cash flows, options, hedging strategies, and no-arbitrage derivations.  Prerequisite:  MAT 20043 Discrete Mathematics.

Transition to Higher Mathematics emphasizes the enhancement of the student's ability to write and comprehend mathematical proof. The course takes a rigorous look at standard methods of proof and their validity. Prerequisite: A C or better in both MAT 20043 Discrete Mathematics and MAT 21144 Calculus II.

Third course in a series of three courses that offers an intuitive approach to major concepts and techniques of mulit-variable calculus. Topics to be covered include differential and integral calculus of functions of several variables, partial differentiation, LaGrange multipliers, vector fields, line integrals, linear second-order differential equations and associated applications. Prerequisite: A C or better in MAT 21144 Calculus II or consent of instructor.

An intuitive study of calculus based probability and its application to inferential statistics.  Topics covered include discrete, continuous, and bivariate random variables and their disributions, expectations, conditional expectation, Bayes' Rule, moment generating functions, covariance, variance, distributions for functions of random variables, order statistics and their distribution, correlation, and least squares regression modeling.  Prerequisite: A C or better in MAT 21144 Calculus II or consent of the instructor.

Course offers a calculus based intuitive treatment of inferential statistics structure.  Applications include point estimation, single parameter and two-sample hypothesis testing, power, Neyman-Pearson Lemma, p-value, beta, ANOVA, randomized block analysis and desing, Goodness-of-Fit, Wilcoxon Sign test, Mann-Whitney U test, Friedman Test, Kruskal-Wallis H Test, and rank correlation coefficient.  Prerequisite:  A "C" or better in MAT 31143 Probability or consent of instructor.

Differential Equations explores various techniques for finding solutions to first- and second-order differential equations. Topics covered include first-order differential equations, first-order systems, linear systems, nonlinear systems, Laplace Transforms, and the Runge-Kutta numerical method. Prerequisite: A C or better in MAT 21144 Calculus II

Explores how Euclidean plane geometry is related to mathematics in general. Emphasis on geometry as logical system based on postulates and undefined terms. The fifth postulate of Euclid is covered from a historical perspective and from attempts to prove thefifth postulate follow the modern Non-Euclidean geometries.

Actuaries in the U.S. and Canada achieve professional status by passing a set of examinations and other requirements prescribed by the Casualty Actuarial Society (CAS) or the Society of Actuaries (SOA). This capstone Actuarial Seminar course requires the student register for and successfully complete one of the first two preliminary exams: the P/1 Probability Exam or the FM/2 Financial mathematics Exam. Prerequisite: Consent of instructor.