MA140 - Calculus I Differential and integral calculus of the elementary functions with associated analytic geometry; concepts of limit, continuity, derivative and integral; applications of the derivative as rate of change, slope and solving max-min problems. Prerequisite: Successful completion of calculus readiness exam, or a grade of C- or better in MA115. MA208 - Discrete Mathematics Introduces basic techniques of proof and combinatorial problem solving. Topics include graphs, trees, logic, applied combinatorics, and number theory. Prerequisite: Completion of or concurrent enrollment in MA140. MA240 - Calculus II Applications of definite integral and Fundamental Theorem of Calculus, methods of integration, integrals of inverse trigonometric functions, logarithmic and exponential functions, the use of polar coordinates, infinite series, power series, Taylor series and Fourier series. Prerequisite: a grade of C- or better in MA140. MA303 - Linear Algebra Matrices, linear systems, finite dimensional vector spaces, vector geometry, linear transformations, quadratic forms. Prerequisite: a grade of C- or better in MA240.Completion of MA208 recommended. MA304 - Probability Combinatorial analysis, probability axioms, random variables and their distributions including binomial, normal, Student's t and f, estimation and sampling, hypothesis testing, linear and multivariate regression. Prerequisite: a grade of C- or better in MA240. MA305 - Differential Equations Elementary differential equations and applications including linear differential equations with constant coefficients and first order systems, higher order differential equations and applications. Existence and uniqueness theorems. Numerical techniques. Prerequisite: MA340 and concurrent enrollment or completion of MA303. MA308 - Theory of Computation An introduction to the theory of computation emphasized formal languages, automata, and computability. Includes computational complexity and NP-completeness. Prerequisite: MA208. MA313 - Numerical Analysis Iterative methods for approximating numerical solutions to systems of equations, polynomials, integral and differential equations. Also matrix manipulation and error analysis. Prerequisite: MA240 or consent of instructor. MA314 - Mathematical Statistics Continuation of Mathematics 304 with an emphasis on multivariate distributions, estimation and tests of statistical hypotheses. Students who complete the course will have the opportunity to be prepared for the first actuarial statistics examination. Prerequisite: MA304. MA320 - History of Mathematics A study of major developments in the history of mathematics and in the mathematical contributions of non-Western cultures. The interplay between mathematics and culture is emphasized. Prerequisite: MA140 or consent of instructor. MA324 - Theory of Interest This course is designed to prepare students for Exam FM that is administered by the Society of Actuaries. Topics include compound interest formulas, annuities, perpetuities, amortization schedules, bonds, and other securities. Prerequisite: a grade of C- or better in MA240. MA340 - Calculus III Introduction to calculus of several variables, partial derivatives, multiple and iterated integrals, vector functions. Prerequisite: MA240. MA403 - Abstract Algebra Introduction to abstract algebra. Includes basic ideas and theorems about groups, rings, integral domains, and fields. Prerequisite: MA303 or consent of instructor. MA420 - Mathematical Logic An introduction to mathematical logic and metamathematics. Includes predicate calculus, proof theory, formal axiomatic theories, consistency, completeness, and decidability. Prerequisite: MA208 or consent of instructor. MA440 - Advanced Calculus A rigorous treatment of fundamental analysis concepts. Includes topology of the real number system, limits, continuity, sequences, differentiability, and integrability. Prerequisite: MA303 and MA340, or consent of instructor. MA472 - Internship An on-the-job professional experience working for an organization, business or University department during an academic semester. A supervised work experience in which the superior student's mathematical background is used in an actual working environment. Prerequisite: Junior mathematics major and approval of instructor and Department chair. MA491 - Independent Study Advanced study in a topic chosen jointly by student and instructor. Some recent topics include topology, real analysis, operations research, complex analysis, logic and foundations, ethnomathematics, advanced statistics, formal language theory, projective geometry and computer-assisted instruction in mathematics. Prerequisite: Consent of department chair. MA499 - Senior Seminar Research in applied mathematics. Students create and present a research project under the direction of a member of the mathematics faculty. Prerequisite: Senior mathematics major. | 
