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Course Criteria
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3.00 Credits
A study of the historical background of geometry, including a detailed development of two-dimensional Euclidean geometry from a selected set of postulates. Some comparisons will be drawn with other categories of geometry. This course is required for certification to teach mathematics in Missouri. Prerequisite(s): Satisfaction of the general education mathematics minimum requirement, and a course in high school geometry. Three Hours, Spring, Odd Years
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3.00 Credits
This is a study of the fundamental principles of the basic algebraic structures such as groups, rings, fields, and integral domains. This course is required for certification to teach mathematics in Missouri. Prerequisite or co-requisite: MATH 264. Three Hours, Spring, Even Years
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3.00 Credits
This is a more advanced course than MATH 243. It covers topics including sampling theory, philosophy and techniques of statistical inference, bivariate and partial correlation analysis, simple and multiple linear regression, regression diagnostics, and CRD and factorial analysis of variance. Appropriate class time will be devoted to use of statistical software such as MINITAB and SPSS. Prerequisite(s): MATH 133 and MATH 243. Three Hours, Fall, Odd Years
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3.00 Credits
A course suitable for students majoring in engineering, science, mathematics, computer information systems, or business administration, linear algebra is the study of finite-dimensional vector spaces, linear transformations and matices, quadratic forms, systems of linear equations, and eignevalues and eigenvectors. Some applications include computer programs using C++ or MATLAB. Prerequisite(s): MATH 164. Three Hours, Fall
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3.00 Credits
Differential equations have important applications in the sciences, engineering, and economics. This course is a study of separable equations, homogeneous and non-homogeneous linear equations, initial value and boundary value problems, Laplace transforms and numerical methods. Prerequisite(s): MATH 264, MATH 353, and BCSC 133. Three Hours, Spring
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3.00 Credits
The mathematics seminar course will focus on the history of mathematics, mathematics research, and application of the material previously studied in the mathematics curriculum. An overview of the history of mathematics will be presented. Students will select a particular period of interest, study that period in depth, and make a presentation to the class. Students will also select a current area of mathematics research, study that in depth, and make a presentation to the class. Problems which require application of several topics in mathematics will be presented and discussed. Prerequisite(s): MATH 363 and consent of the instructor. Three Hours, Fall
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3.00 Credits
This course is an advanced study of calculus topics including: functions of several variables, partial differentiation, Taylor's formulas and series, implicit functions, transformations and mappings, and vectors and vector fields. Prerequisite(s): MATH 264 Three Hours, Fall, Odd Years
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3.00 Credits
This course is an advanced study of calculus topics involving functions of several variables such as double and triple integrals, arc length, surface area, line and surface integrals, the theory of integration, improper integrals, infinite series, power series, and convergence. Prerequisite(s): MATH 264. Three Hours, Spring, Even Years
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3.00 Credits
Today's high-speed computers enable analysts to solve equations that cannot be solved analytically. This course covers the study of numerical methods for the solution of nonlinear algebraic equations, systems of algebraic equations, and ordinary differential equations as well as numerical approximation, extrapolation, differentiation, and quadrature. Programs will be written in the Natural Sciences Computer Laboratory using Pascal or MATLAB. Prerequisite(s): MATH 363, or MATH 264 and consent of instructor. Three Hours, Fall, Even Years
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3.00 Credits
Topics covered are the algebra and geometry of complex numbers, analytic functions, complex integration, residues, and conformal mapping. Prerequisite(s): MATH 453, or MATH 264 and consent of instructor. Three Hours, On Demand
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