### Course Instructors:

#### MAT 50: Mr. Jackson

#### MAT 51: Mrs. Turner

#### MAT 111: Dr. Li

## Course Descriptions

- MAT 112 APPLIED ALGEBRA FOR BUSINESS AND SOCIAL SCIENCE. (3)

- Graphs functions, systems of equations and equalities, linear programming, mathematics of finance, matrix algebra, logarithmic and exponential functions and elements of statistics. A graphing calculator is required. Prerequisite: MAT 111 with a grade of "C" or better or satisfactory placement score.

- MAT 113 COLLEGE ALGEBRA. (3)

- Study and graphing of polynomials, rational, logarithmic and exponential functions, matrices determinants, and systems of equations and inequalities. Prerequisite: MAT 111 with a grade of "C" or better or satisfactory placement score.

- MAT 114 PLANE TRIGONOMETRY. (3)

- A study of trigonometric functions including graphing, identities, solutions of trigonometric equations and solution of triangles. Prerequisite: MAT 113 with a grade of "C" or better or satisfactory placement score.

- MAT 115 CONTEMPORARY MATHEMATICS. (3)

- Topics in logic, the real number system, linear and non-linear functions, systems of equalities and inequalities, counting methods of probability and statistics, taught from a problem-solving/applications approach. Prerequisite: MAT 111 or equivalent with a grade of "C" or better or satisfactory placement score.

- MAT 117 ELEMENTARY STATISTICS. (3)

- Descriptive and inferential statistics including frequency distributions, measures of central tendency and variation, probability and sampling distributions, test the hypothesis, confidence intervals, linear correlation and regression. Prerequisite: MAT 111 with a grade of "C" or better or satisfactory placement score.

- MAT 118 MATHEMATICAL FOUNDATIONS FOR ELEMENTARY TEACHERS. (3)

- A theoretical analysis of arithmetic and algebra designed for prospective elementary teachers. This course is required for elementary education majors and will not meet the general education requirement for any other major. Prerequisite: MAT 111 with a grade of "C" or better or satisfactory placement score.

- MAT 119 GEOMETRY STATISTICS FOR ELEMENTARY TEACHERS. (3)

- A continuation of MAT 118 including the study of geometry and statistics. This course is required for elementary education majors and will not meet the general education requirement for any other major. Prerequisite: MAT118 with a grade of "C" or better.

- MAT 120 CONCEPTS OF CALCULUS. (3)

- This computer intensive course surveys the major concepts of calculus including functions, limits, differential and integral calculus. This course is designed for non-majors and those seeking certification to teach in middle school. Graphics calculator required. Prerequisite: MAT 113 or MAT 121 with a grade of "C" or better or satisfactory placement score.

- MAT 121 PRECALCULUS MATHEMATICS. (3)

- A unified course with the same content as MAT 113 and MAT 114. Graphics calculator required. Prerequisite: MAT 111 with a grade of "C" or better or satisfactory placement score.

- MAT 123 CALCULUS I. (5)

- Plane analytic geometry , functions limits, continuity, differentiation and applications, antiderivatives, the definite integral, and logarithmic and exponential functions. Graphics calculator required. Prerequisite: MAT 113 and MAT 114 or MAT 121 with a grade of "C" or better or satisfactory placement score.

- MAT 175 SPECIAL TOPICS. (1-5)

- Topic to be listed in course schedule. May enroll again as topic changes. May not be used as a general education requirement.

- MAT 203 CALCULUS II. (5)

- Techniques and applications of integration; trigonometric functions; graphs with polar and rectangular coordinates, including conic sections, infinite series, plane curves, parametric, polar curves. Graphics calculator required. Prerequisite: MAT 123 with a grade of "C" or better.

- MAT 300 TOPICS IN MATHEMATICS. (1-3)

- An in-depth study of a topic of mathematics.

- MAT 302 ELEMENTS OF GEOMETRY. (3)

- This course will focus on applications of concepts and two- and three-dimensional Euclidean geometry, including constructive, transformations and measurement. Other topics studied in this course will include topology, finite geometries and software such as Geometer's Sketch Pad. Computer and graphics calculator applications will be used. Prerequisite: MAT 113, MAT 114, or MAT 119 with a grade of "C" or better.

- MAT 304 CALCULUS III. (5)

- Solid analytic geometry, vectors, partial derivatives, multiple integrals. Graphics calculator required. Prerequisite: MAT 203 with a grade of "C" or better.

- MAT 315 TECHNIQUES OF MATHEMATICAL PROOFS. (3)

- Elementary logic and set theory; cardinality of sets. Mathematical induction and other strategies for proving fundamental results in number theory, abstract algebra, and real analysis. Prerequisite: MAT 203.

- MAT 324 DIFFERENTIAL EQUATIONS. (3)

- First order differential equations, linear differential equations of higher order, power series solutions. Laplace transforms, systems of linear differential equations with applications. Graphics calculator required. Prerequisite: MAT 203.

- MAT 390/391 DIRECTED TUTORING. (3)

- Supervised tutoring. May enroll in a total of three directed tutoring courses during career, but no more than two in any one area: English, mathematics, science or social science. Will not count towards the majors. Prerequisite: For admission, written consent of the supervising instructor is required.

- MAT 403 LINEAR ALGEBRA. (3)

- Matrices and determinants, solution of linear systems, vector space theory, eigenvalues and eigenvectors, linear transformations, and selected applications. Prerequisite: MAT 304 or concurrent enrollment in 304 with consent of instructor.

- MAT 405 APPLIED STATISTICS. (3)

- Types of data models, estimation and hypothesis testing on parameters, chi-square tests, analysis of variance, regression and correlation, multiple regression, and non-parametric statistical methods. Prerequisite: MATH 117, and MAT 120 or 123.

- MAT 406 HISTORY OF MATHEMATICS. (3)

- A problem-solving approach to the historical development of mathematics and the study of the men and women who contributed to this development. This is a writing intensive course. Prerequisite: MAT 120 or 123.

- MAT 407 MODERN GEOMETRY. (3)

- Axiomatic study of Euclidean and non-Euclidean geometry. Topics of Euclidean geometry include incidence, convexity, the Parallel Postulate, Pasch's Theorem, and the geometry of transformations. Non-Euclidean geometry includes some finite and hyperbolic geometries. Prerequisite: MAT 120 or 123.

- MAT 409 ABSTRACT ALGEBRA. (3)

- Algebraic structures; groups, rings, fields, Prerequisite: MAT 315.

- MAT 413 INTRODUCTION TO REAL ANALYSIS. (3)

- Foundations of real numbers, analysis of real-valued functions and one variable, including limit, derivative, continuity. Students are strongly encouraged to take an upper level theoretical mathematics course before taking MAT 413. Prerequisite: MAT 304 and MAT 315.

- MAT 414 ADVANCED CALCULUS. (3)

- Differential and integral calculus of functions of several variables, including vector functions, differentials, approximations, implicit and inverse function theorem. Prerequisite: MAT 304.

- MAT 415 MATHEMATICAL STATISTICS. (3)

- Theory of probability, random variable, probability distributions and probability densities, mathematical expectation. Sampling distribution, introduction to estimation, confidence intervals and test of hypothesis. Prerequisite: MAT 304

- MAT 421/422 SPECIAL TOPICS IN MATHEMATICS. (3)

- Topic to be listed in course schedule; may re-enroll as topic changes. Prerequisite: 18 hours of required major hours and consent if instructor.

- MAT 461 INTRODUCTION TO MATHEMATICAL PROGRAMMING. (3)

- Programming techniques for mathematics/science majors. Prerequisite: MAT 120 or 123.

- MAT 467 NUMERICAL ANALYSIS. (3, LF)

- Numerical methods for solving an equation or systems of equations, numerical differentiation and integration, interpolating polynomials, numerical solution of different equations; computer programs for selected methods. Prerequisite: MAT

Lincoln University - 820 Chestnut Street - Jefferson City, Missouri - 65101

573-681-5000

All content © Lincoln University http://www.lincolnu.edu - 2009 All rights reserved.

573-681-5000

All content © Lincoln University http://www.lincolnu.edu - 2009 All rights reserved.