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MAT 30143 HISTORY OF MATHEMATICS

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.

MAT 30144 FINANCIAL MATHEMATICS

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.

MAT 30243 TRANSITION TO HIGHER 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.

MAT 31044 CALCULUS III

The Calculus III course is the third semester of a three semester track and 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.

Prerequisites

MAT 21144

MAT 31143 MATHEMATICAL STATISTICS I

Mathematical Statistics I is the first half of a solid undergraduate treatment of statistical theory. Emphasis is placed on probability as it applies to inferential statistics. Topics to be covered include basic probability theory, conditional probability, Bayes' Theorem, univariate probability distributions (including binomial, negative binomial, negative binomial, geometric, hypergeometric, Poisson, beta, exponential, gamma, and normal), multivariate probability distributions, functions of random variables, expectation, moment generating functions, and simple linear regression. Prerequisite: A C or better in MAT 21144 Calculus II or consent of the instructor.

Prerequisites

MAT 21144

MAT 32044 MATHEMATICAL STATISTICS II

Mathematical Statistics II is the second half of a solid undergraduate treatment of statistical theory. Emphasis is placed on inferential statistics. Topics to be covered include survey sampling, descriptive statistics, parameter estimation, hypothesis testing, two-sample issues, analysis of variance, and analysis of categorical data. Prerequisite: A C or better in MAT 31143 Mathematical Statistics I or consent of instructor.

Prerequisites

MAT 31143

MAT 33043 DIFFERENTIAL EQUATIONS

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

Prerequisites

MAT 21144

MAT 36043 NON-EUCLIDEAN GEOMETRY

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.

MAT 36141 ACTUARIAL SEMINAR

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.