# Courses and Descriptions

The semester listed after course descriptions indicate when courses are expected to be offered. Schedules are subject to change; students should confirm semester offerings with the department when planning degree programs. Click on any of the following links to jump directly to introductory math courses, analysis courses, applied mathematics courses, foundations courses or special and advanced courses.

## Introductory Courses

#### 099. Developmental Mathematics (3)

Topics include the real number system, basic operations, fractions, signed numbers, factoring, exponents, roots, decimals, percent and proportion, topics from plane geometry, and an introduction to algebra. Emphasis is on development of arithmetic skills and mastery of basic algebraic concepts. College credit only; hours will not count toward graduation requirements. (Prerequisite: Mathematics Placement Policy.) Must be repeated if grade earned is NC, D or F. FALL.

#### 100. Mathematics for the Liberal Arts (4) (MATHEMATICS BASIC SKILLS)

A mathematics course for non-math and non-science majors. Topics covered may include, but are not limited to: voting theory (fair elections, weighted voting systems), graph theory (Eulerian and Hamiltonian paths/circuits), fair division, math in nature, and consumer mathematics. (Prerequisite: MATH 099 or Mathematics Placement Policy). SPRING.

#### 101. Intermediate Algebra (4) (MATHEMATICS BASIC SKILLS)

Fundamental operations with algebraic expressions, linear and quadratic equations, graphs, systems of equations, applications and functions. (Prerequisite: MATH 099 or Mathematics Placement Policy). FALL, SPRING.

#### 103. Fundamentals of Modern Mathematics I (3)

An introduction to problem solving, logic, set theory, number systems, operations, number theory, and algorithms. (Prerequisite: MATH 101 or Mathematics Placement Policy). FALL.

#### 113. Fundamentals of Modern Mathematics II (3)

An introduction to probability and statistics, geometry, measurement and the use of mathematical methods, tools, and technology. (Prerequisite: MATH 103). SPRING.

#### 115. Pre-Calculus Mathematics (4)

An introduction to the theory of functions related to exponential, logarithmic, rational, polynomial and trigonometric functions. Theorems on rational and complex zeros of polynomials and systems of linear equations. (Prerequisite: MATH 101 or Mathematics Placement Policy). FALL, SPRING.

#### 220. History of Mathematics (3)

A survey of major developments in mathematics from ancient through modern times, with emphasis placed on individuals who made significant contributions to the discipline. (Prerequisites: ENGL 101 and MATH 135). FALL.

## Analysis

#### 135. Calculus and Analytic Geometry I (4)

Topics include mathematical modeling, transcendental functions, parametric equations and functions in parametric form, limits, continuity, differentiation, integration, and related applications. (Prerequisite: MATH 115 or Mathematics Placement Policy). FALL, SPRING.

#### 205. Calculus and Analytic Geometry II (4)

Topics include principles of integral evaluation, applications of the definite integral to geometry, science, and engineering, mathematical modeling with first-order differential equations, sequences, infinite series, and various tests of convergence. (Prerequisite: MATH 135 or Mathematical Placement Policy). FALL, SPRING.

#### 215. Calculus and Analytic Geometry III (4)

Topics include analytic geometry, polar coordinates and curves, three-dimensional space, vectors and vector-valued functions, partial derivatives, multiple integrals, and various topics in vector calculus. (Prerequisite: MATH 205). SPRING.

#### 305. Differential Equations (3)

Solutions of various types of ordinary differential equations, linear equations with constant coefficients, the Laplace Transform, systems of equations, and series solutions. (Prerequisite: MATH 205). SPRING.

#### 405. Real Analysis (3)

Theory of functions of a real variable; sequences and series, limits, continuity, derivatives, the Riemann integral and other topics. (Prerequisites: MATH 215 and 303). FALL.

## Applied Mathematics

#### 104. Finite Mathematics (3)

An introduction to systems of linear equations, matrix theory, linear programming, set theory, logic, probability, and other topics. (Prerequisite: MATH 101 or Mathematics Placement Policy). FALL, SPRING.

#### 204. Elementary Statistics (3)

An introduction to the basic principles of statistics, computation of statistics, probability distributions, estimation, confidence intervals, hypothesis testing, and correlation and regression. (Prerequisites: MATH 104 or 115 or Mathematics Placement Policy). FALL, SPRING.

#### 216. Discrete Mathematics (3)

An introduction to Boolean algebra, combinatorics, graph theory, recursion, set theory, set theory, and trees. (Prerequisite: MATH 135). SPRING.

#### 304. Theory of Probability (3)

Descriptive statistics, probability and counting techniques, discrete and continuous distributions, the correlation coefficient, and least squares regression. (Prerequisite: MATH 205). FALL.

#### 314. Theory of Mathematical Statistics (3)

Sampling theory, point and interval estimation, order statistics, tests of hypothesis, nonparametric methods, statistical quality control, and experimental design. (Prerequisite: MATH 304). SPRING.

#### 324. Numerical Analysis (3)

An introduction to numerical analysis in finding roots of polynomials, polynomial approximation, finite difference calculus, summation calculus, and selected topics in computer programming. (Prerequisite: MATH 205). FALL.

## Foundations

#### 303. Linear Algebra and Matrices (3)

Matrices, determinants, systems of linear equations, vector spaces, linear transformations, eigenvectors and eigenvalues. (Prerequisite: MATH 205). FALL.

#### 309. Topics in Mathematics (1-3)

Topics of interest to faculty and students. Sample topics include, but are not limited to, numerical analysis, graph theory, advanced discrete math, advanced multivariable calculus, partial differential equations, history of mathematics. May be repeated for credit if the topic is different. OFFERED AS NEEDED.

#### 313. Abstract Algebra (3)

An introduction to the theory of groups, rings, and fields. (Prerequisite: MATH 303). SPRING.

#### 323. Geometry (3)

A survey of topics in geometry including historical topics, elements of logic, foundations in Euclidean geometry, and introduction to non-Euclidean geometry using the hyperbolic model. This course emphasizes different methods of proof. (Prerequisite: MATH 205). SPRING.

#### 403. Number Theory (3)

Divisibility, primes, congruences, multiplicative functions, primitive roots, quadratic residues, quadratic reciprocity, and other topics. (Prerequisite: MATH 313). FALL.

#### 410. Advanced Topics in Mathematics (1-3)

Advanced topics of interest to faculty and students. Sample topics include, but are not limited to, complex analysis, topology, operations research, advanced topics in linear algebra, abstract algebra, geometry and statistics. May be repeated for credit if the topic is different. OFFERED AS NEEDED.

#### 420. Capstone: Mathematics (1)

Students will deepen their understanding of the content of core undergraduate mathematics courses while investigating the relevance of mathematics to other fields of study. Among those instruments used to assess student performance will be a report. An oral presentation is also required. (Prerequisite: MATH 313). SPRING.

## Special and Advanced Courses

#### 199. Exploratory Internship (1-3)

#### 299. Experimental Course (1-3)

#### 399. Professional Internship (1-12)

#### 451. Independent Study (1-3)

Advanced topics for students planning further study in mathematics. (Prerequisites: B average in mathematics and department chairperson’s written permissions.)