Curriculum

Mathematics Courses (33 credits)

MA 121 Calculus I

Presentation of the fundamental concepts of functions, limits, and differential calculus with an introduction to integral calculus. Techniques and applications of differentiation and calculating areas as limits are explored. Offered each fall semester. P: MA 120 or its equivalent. 4 credits

MA 122 Calculus II

Further extensive study of the fundamental concepts of differential and integral calculus. Topics include logarithmic, exponential and trigonometric functions, integration techniques, applications of the definite integral, and infinite series. Offered each spring semester. P: MA 121 or its equivalent. 4 credits

MA 215 Differential Equations

An intermediate follow-on course to the calculus sequence building on much of that subject matter and hence highlighting the use and importance of calculus. The course is designed to develop a tool kit of solution techniques which can be used to solve ordinary differential equations including first order equations and higher order linear equations. Topics include first order equations, higher order linear equations, Laplace transforms, systems of equations, power series solutions, numerical methods, and practical applications to science. Generally offered annually. P: MA 122. 3 credits

MA 230 History of Mathematics

A study of dominant trends in the historical development of mathematics. Study of the growth of various branches of mathematics will be supplemented by historical background material, biographies of mathematicians, and translations of original sources. Generally offered every two years. P: MA 100 or its equivalent or permission of the Mathematics Program Director. 3 credits

MA 233 Linear Algebra

The study of mathematical systems with emphasis on vector spaces, linear transformations, and matrices including geometric interpretations and applications. Topics include systems of linear equations, vector spaces, linear mappings, determinants, and eigenvalue problems. Offered every other fall semester. P: MA 121 or permission of instructor. 3 credits

MA 242 Linear Optimization

An introduction to the application of linear mathematical models used for optimization and to support decision-making processes. Emphasis will be on formulating mathematical models of various problems encountered by decision-makers, developing and solving spreadsheet models, and interpreting their solutions. Topics include linear programming, sensitivity analysis, integer programming, network modeling, multiple objective programming, regression analysis, and time series forecasting. Computer analysis is utilized. Offered every other spring semester. P: MA 233. 3 credits

MA 315 Geometry

The study of Euclidean and non-Euclidean geometry. The history of geometry, structure of geometry, relationships between various parts of geometry, relationships between theorems, styles, and techniques of proofs will be studied. Generally offered every two years. 3 credits

MA 345 Probability

The basic concepts of probability will be covered to form the foundation for statistical methods and applications. Topics include data collection and presentation, numerical descriptive measures, probability rules, discrete and continuous random variables, probability distributions, the central limit theorem, sampling distributions, and confidence interval estimation. Offered every other fall semester. P: MA 120 or its equivalent or permission of the instructor. 3 credits

MA 351 Statistical Methods

A mathematical development of statistical procedures that builds upon the topics covered in probability and introduces concepts of estimation, confidence intervals, hypotheses testing, contingency tables, goodness of fit, analysis of variance, correlation, regression, nonparametric methods and their applications. Emphasis is on practical applications of the statistical methods using statistical software. Offered every other spring semester. P: MA 345. 3 credits

MA 391 Senior Seminar

Topics may vary. Typically, topics will be chosen that pull together previous coursework and also prepare students for the Praxis II test in mathematics content knowledge. Students will also develop a graded class presentation for one of the mathematics courses. Generally offered annually. P: MA 122, MA 233. 3 credits