# Mathematics Course Descriptions

## Course Description: Mathematics

**MAT 091: INTERMEDIATE ALGEBRA. **Real Numbers system and their properties. Development of algebraic techniques such as solving linear and quadratic equations and inequalities; applications. Introduction to polynomials and rational functions and graphs. *Not included in hours needed for **graduation*. Offered every semester. **CREDIT: THREE SEMESTER HOURS CREDIT TOWARD COURSE LOAD.**

**MAT 103: COLLEGE ALGEBRA. **Review of algebraic techniques such as solving quadratic equations, composite and inverse functions, transformations and symmetry of graphs. Advanced topics in polynomial and rational functions and graphs; applications. Introduction to exponential and logarithmic functions and graphs; solving linear systems; solving systems of linear inequalities. Offered every semester. Prerequisite: MAT 091 with a grade of “C” or qualifying placement test score. **CREDIT: THREE SEMESTER HOURS.**

**MAT 104: TRIGONOMETRY. **The trigonometric functions; formulas, theorems, solving equations, and applications will be developed. Offered every semester. Prerequisite: MAT 103 with a grade of “C” or qualifying placement test score. Offered every semester. **CREDIT: THREE SEMESTER HOURS.**

**MAT 106: CONTEMPORARY MATHEMATICS. **An introduction to modern mathematical concepts. Graphs and networks, scheduling problems, fundamental statistical concepts, the mathematics of check digits and bar codes, theory of elections, and exponential growth. This course should enable the student to become an informed participant in the social decision-making process and to understand the mathematical ideas behind many modern institutions. Prerequisite: MAT 091 with a grade of “C”. Offered every Fall. **CREDIT: THREE SEMESTER HOURS.**

**MAT 201: NUMBER SYSTEMS. **Sets and functions, whole numbers, positive rational numbers, integers, systems of integers and rationals. Offered every fall. Prerequisite: MAT 091.** CREDIT: THREE SEMESTER HOURS.**

**MAT 202: GEOMETRY, MEASUREMENT AND PROBABILITY. **Intuitive nonmetric geometry, probability, further geometry, the real number system. Offered every Spring. Prerequisite: MAT 091 with a grade of “C”. **CREDIT: THREE SEMESTER HOURS.**

**MAT 208: BIO-STATISTICS. **Applications of statistics to the biological sciences. Topics may include data analysis, confidence intervals, significance, and the uses of statistics in such areas as epidemiology and clinical practice. Offered every spring .Prerequisite: MAT 103 with a grade of “C”. **CREDIT: THREE SEMESTER HOURS.**

**MAT 221: CALCULUS I. **A study of real numbers, functions, limits continuity, differentiation, application of derivative, Rolle’s Theorem, Mean Value Theorem, anti-derivatives, the definite integral. Offered every semester. Prerequisite: MAT 104 or MAT 105 with a minimum grade of “C”. **CREDIT: THREE SEMESTER HOURS.**

**MAT 222: CALCULUS II. **The fundamental Theorem of Calculus, areas, volumes, arc lengths, work, and pressure. Transcendental function, methods of integration, numerical methods, indeterminate forms, Taylor Polynomials, sequences, series. Offered every semester. Prerequisite: MAT 221 with minimum grade of “C”. **CREDIT: THREE SEMESTER HOURS.**

**MAT 218: DISCRETE MATHEMATICS. **Sets, relations, functions, algorithms, induction, counting methods, recurrence relations, probability, graphs and trees. Formal logic if time permits. Offered every spring. Prerequisite: MAT 221 and one semester of a programming language. **CREDIT: THREE SEMESTER HOURS.**

**MAT 316: DIFFERENTIAL EQUATIONS. **First order differential equations, linear equations of higher order, power series solutions of linear equations, Laplace transform and linear systems of differential equations. If time permits, an introduction to partial differential equations. Offered every spring. Prerequisite: MAT 321 with a grade of at least “C”. **CREDIT: THREE SEMESTER HOURS.**

**MAT 321: CALCULUS III. **Polar coordinates, parametric equations, arc lengths, vector calculus, curvature, surface area, functions of several variables, partial derivative, gradient. Offered every Fall. Prerequisite: MAT 222 with a minimum grade of “C”. **CREDIT: THREE SEMESTER HOURS.**

**MAT 322: CALCULUS IV. **Multiple integration, centroids, moment of inertia, line integrals, Stokes’ and Green’s theorems. Offered every spring. Prerequisite: MAT 321 with a minimum grade of “C”. **CREDIT: FOUR SEMESTER HOURS.**

**MAT 326: INTRODUCTION TO PROBABILITY THEORY. **Sample spaces; definition of probability; discrete and continuous random variables; normal binomial and Poisson probability density and distribution function; jointly distributed random variables; expectations; moment generating function; and central limit theorem. Offered every fall. Prerequisite: MAT 222 with a grade of “C”. **CREDIT: THREE SEMESTER HOURS.**

**MAT 341: LINEAR ALGEBRA. **System of linear equations, vectors and matrices, determinants, vectors in R2 and R3, vector spaces, linear transformation, Eigen values, Eigenvectors and canonical forms. Offered every fall. Prerequisite: MAT 221 with a minimum grade of “C”. **CREDIT: THREE SEMESTER HOURS.**

**MAT 345: TOPOLOGY ON THE REAL LINE. **Metric spaces, topological spaces, compactness, connectedness, and application to analysis. Offered alternate springs. Prerequisite: MAT 218 with a grade of at least “C”. **CREDIT: THREE SEMESTER HOURS.**

**MAT 414. MODERN ALGEBRA. **Groups, rings, internal domain, and fields. Offered alternate falls. Prerequisite: MAT 321 with a grade of at least “C”. MAT 218 is recommended. **CREDIT: THREE SEMESTER HOURS.**

**MAT 426. ADVANCED CALCULUS. **A rigorous approached to the usual topics handled in one-dimensional calculus. The understanding, formulating and writing of proofs. Offered alternate springs. Co-requisite: MAT 321 or permission of the instructor. **CREDIT: THREE SEMESTER HOURS.**

**MAT 429: COMPLEX VARIABLES. **Complex numbers, analytic functions, mapping by elementary functions, contour integration including the Cauchy-Gaursat theorem, the Cauchy integral formula, Morera’s theorem and the fundamental theorem of algebra, infinite series – Taylor and Laurant expansions, and integration and differentiation of power series - residues and poles. Conformal mapping with application, if time permits. Offered alternate springs. Prerequisite: MAT 222 **CREDIT: THREE SEMESTER HOURS.**

**MAT 434: THEORY OF MATHEMATICAL STATISTICS. **Probability, discrete and continuous distribution, estimate of parameters, confidence intervals and test of hypotheses, experimental design and analysis of variance, and distribution-free methods. Offered every spring. Prerequisite: MAT 322 and 326. **CREDIT: THREE SEMESTER HOURS.**

**MAT 445**: **SELECTED TOPIC IN MATHEMATICS. **Typically a topic is chosen from those not offered in other courses or in combinations not provided by other courses. Possible topics include vector analysis, number theory and game theory. May be taken more than once for credit. **CREDIT: THREE OR FOUR SEMESTER HOURS.**

**MAT 461: READING AND RESEARCH IN MATHEMATICS. **This course provides an opportunity to pursue a research project in mathematics. Prerequisite: consent of the instructor and the Department Chair. **CREDIT: ONE TO THREE SEMESTER HOURS.**

**MAT 491/492: SENIOR SEMINAR. **Students will select topic for senior research culminating with senior paper and project defense. Both semesters required of all senior majors. Offered every fall/spring. Prerequisite: Senior standing and successful completion of the English Writing Proficiency Examination. **CREDIT: ONE SEMESTER HOUR EACH.**