Mathematics

Courses

MAT 099    Intermediate Algebra
Credit Hours: 4
Students will review basic algebra skills in preparation for a College Algebra course. Emphasis will be placed on working problems and building confidence in mathematical skills. Credit is given for this course, but it does not fulfill a general education requirement in mathematics and is not counted as part of the minimum degree requirements. This course will meet for three lecture and one lab hour per week.

MAT 110 Basic Mathematical Concepts I
Credit Hours: 3
Provides prospective teachers with background for teaching elementary school mathematics topics include: inductive and deductive reasoning, sets, logic, elementary number theory, and elementary algebra.

MAT 111 Basic Mathematical Concepts II
Credit Hours: 3
A continuation of MAT 110. The topics include: geometry, mathematical systems, consumer mathematics, elementary probability, and statistics.

MAT 124    Applied College Algebra
Credit Hours: 3
Students will study the real numbers, polynomials, lines and linear inequalities, functions, exponential and logarithmic equations, and practical financial applications, including: compound interest, annuities, sinking funds, and loan amortization. Note: Students planning to take MAT 142 Precalculus must take MAT 125. Prerequisite: Recommended passing grades in both semesters of Algebra I, Geometry and Algebra II at the high school level, or “C” or better in MAT 099.

MAT 125 College Algebra
Credit Hours: 3
Review of algebraic skills; complex numbers and operations. Polynomials and rational functions; exponential and logarithmic functions; inverses of functions. Direct and inverse variation. Synthetic division. Prerequisite: “C” or better in MAT 099 or appropriate Math placement score.

MAT 142 Pre-Calculus
Credit Hours: 4
A study of functions, including: functions in general and the rectangular coordinate system; algebraic functions (polynomial and rational); transcendental functions (exponential, logarithmic, trigonometry and inverse trigonometry); applications of exponential and logarithmic functions; applications of trigonometry and inverse trigonometry functions to solution of triangles (Law of Sines, Law of Cosines). Prerequisite: “C” or better in College Algebra.

MAT 150 Basic Statistics
Credit Hours: 3
Descriptive statistics, elementary probability, the binomial and normal probability distributions, testing of hypotheses, estimation, one-way analysis of variance, simple linear regression and correlation. Prerequisite: QU math placement test into MAT 124 or 125; grade of “B” or better in MAT 099; or grade of “C” or better in MAT 124 or 125; or consent of instructor.

MAT 242 Calculus and Analytic Geometry I
Credit Hours: 4
Analytic geometry of the line. Functions and graphs. The derivative of algebraic functions. Applications of the derivative. The indefinite and definite integral. Prerequisite: 4 units of high school mathematics, “B” or better in MAT 125, or MAT 142. [M1 900-1]

MAT 243 Calculus and Analytic Geometry II
Credit Hours: 4

Applications of integration. Analytic geometry of conics. Differentiation and integration of transcendental functions; infinite series. Prerequisite: MAT 242. [M1 900-2]

MAT 244 Calculus and Analytic Geometry III
Credit Hours: 4
Polar coordinates. Parametric equations. Vectors and vector calculus. Partial derivatives. Multiple integrals and line integrals. Prerequisite: MAT 243. [M1 900-3]

MAT 252     Discrete Mathematics
Credit Hours: 3
A study of discrete mathematical structures. Sets, relations and digraphs, functions, counting techniques. Prerequisite: MAT 124 or 125.

MAT 260 Mathematical Logic
Credit Hours: 3
Logic of compound statements. Rules of inference and derivations. Inference with quantifiers. Sets, functions and relations. Axiomatic systems. Prerequisite: MAT 243.

MAT 270-9   Special Topics
Credit Hours: 1-3
Courses in special areas such as finite mathematics, discrete mathematical structures, and calculus for nonmajors depending upon demand and staff.

MAT 300    Mathematics for Secondary School Teachers
Credit Hours: 3
The main objective of this course is to ensure that mathematics majors seeking secondary certification have a good overview of the areas relevant to the teaching of secondary school mathematics. Topics include number theory, geometry, and probability and statistics. Prerequisite: MAT 260 or instructor’s consent.

MAT 329    Introduction to Linear Algebra and Matrix Theory
Credit Hours: 4
Linear equations, Gauss-Jordan reduction, algebra of matrices, vector spaces, linear independence, bases and dimension, change of basis, linear transformations, eigenvalues and eigenvectors, diagonalization and linear programming. Prerequisite: MAT 243.

MAT 346     Differential Equations
Credit Hours: 3
Introduction to differential equations; solutions of first order differential equations; solutions of homogeneous and nonhomogeneous linear differential equations, differential operators, initial value equations, mathematical modeling and LaPlace transforms. Prerequisite: MAT 244.

MAT 350     Numerical Analysis
Credit Hours: 3
Polynomial interpolation, solution of nonlinear equations, systems of linear and nonlinear equations, eigenvalue problems, matrix inversion, numerical integration, numerical solution of differential equations. Prerequisites: MAT 244; CSC 150. (Offered on demand with consent of instructor)

MAT 353     Number Theory
Credit Hours: 3
Linear indeterminate equations. Diophantine equations, congruence; theorems of Euler, Fermat, Wilson. Prerequisites: MAT 244 and 260.

MAT 370-9  Special Topics
Credit Hours: 1-3
Courses in special areas such as advanced calculus and history of mathematics.

MAT 380     Higher Geometry
Credit Hours: 3
The main objective of this course is to furnish valid definitions and valid proofs for concepts and theorems known from introductory geometric courses. This course will build a solid foundation for modern geometry and more advanced geometry courses. This course also involves extensive use of hands-on experience in and out of the classroom. Three hours combination lecture/lab. Prerequisite: MAT 142.

MAT 400     Methods of Teaching Mathematics
Credit Hours: 3
Designed to acquaint the prospective teacher of mathematics with the techniques, materials, resources and problems of teaching at the secondary level. This course does not apply toward the math major. Prerequisite: acceptance into the teacher education program.

MAT 440     Abstract Algebra
Credit Hours: 3
Groups, rings, fields, integral domains, and Boolean Algebra. Prerequisite: MAT 244 and 260.

MAT 450     Probability Theory
Credit Hours: 3
Probability for discrete and continuous sample spaces. Random variables and probability distributions. Sampling distributions. Estimation and testing hypotheses. Inference when comparing two populations. Calculus used extensively. Prerequisites: MAT 150 and MAT 244.

MAT 470-9   Special Topics
Credit Hours: 1-3
Special topics in mathematics depending on demand and staff.

MAT 485     Introduction to Real Analysis
Credit Hours: 3
Introduction to the theory of analysis including rigorous treatment of sequences, series, functions of one or two variables, continuity, differentiation, and Riemann integration. Prerequisites: MAT 244 and MAT 260.

MAT 497    Comprehensive Seminar
Credit Hours: 2
Overview of subject matter covered in the mathematics major. A study of some area of mathematics not previously studied by the students. Open only to senior majors in mathematics.

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