# Mathematics (MATH)

MATH S054 Prealgebra

3 credits (3+0)
Topics include operations and applications of whole numbers, integers, fractions, decimals, ratios and proportions, percents, geometry and measures, evaluation of algebraic expressions and applications.
Prerequisite: Placement test.

MATH S055 Elementary Algebra

4 credits (4+0)
Introductory algebra course. Topics Include evaluating and simplifying algebraic expressions, polynomials, factoring, integer exponents, rational expressions, solutions of linear equations and inequalities, quadratic equations and graphs of lines.
Prerequisite: MATH S054 with a P, or math placement test.

MATH S105 Intermediate Algebra

4 credits (4+0)
Topics include expressions, equations and applications involving linear, quadratic, rational and radical functions; graphs of linear and quadratic functions; functions and their inverses; introduction to exponential and logarithmic functions; and systems of linear equations.
Prerequisite: MATH S055 with C (2.00) or higher, or placement test.

MATH S113 *Concepts and Contemporary Applications of Mathematics

3 credits (3+0)
GER. Applications of mathematics in modern society. Topics include voting systems, management science, probability and statistics. Problem solving is emphasized.
Prerequisite: MATH S105 with C (2.00) or higher, or placement test.

MATH S151 *College Algebra for Calculus

4 credits (4+0)
GER. A detailed study of algebraic, logarithmic and exponential functions; systems of equations; applications.
Prerequisite: MATH S105 with C (2.00) or higher, or placement test.

MATH S152 *Trigonometry

3 credits (3+0)
GER. A study of trigonometric functions including graphing, identities, inverse trigonometric functions, solving equations and polar coordinates; applications.
Prerequisite: MATH S151 with C (2.00) or higher, or placement test.

MATH S211 Mathematics for Elementary School Teachers I

3 credits (3+0)
Designed for elementary education majors. Topics include sets, functions, numeration systems, integers, elementary number theory and rational numbers. Recommended: MATH S151 (C or better).
Prerequisite: MATH S105 (B or better) or placement test.

MATH S212 Mathematics for Elementary School Teachers II

3 credits (3+0)
Designed for elementary education majors. Topics include real numbers, informal geometry, measurement, statistics, and probability. Recommended: MATH S151 (C or better).
Prerequisite: MATH S105 (B or better) or placement test.

MATH S251 *Calculus I

4 credits (4+0)
GER. A first course in single-variable calculus. Topics include limits; continuity and differentiation of functions; applications of the derivative to graphing, optimization, and rates of change; definite and indefinite integration; and the Fundamental Theorem of Calculus.
Prerequisite: MATH S151 and MATH S152 with C (2.00) or higher, or placement test.

MATH S252 *Calculus II

4 credits (4+0)
GER. Further topics in single-variable calculus, including techniques of integration; applications of integration; convergence of sequences and series; parameterized curves; and polar coordinates.
Prerequisite: MATH S251 with C (2.00) or higher.

MATH S253 Calculus III

4 credits (4+0)
Multivariable calculus. Topics include vectors in 2- and 3-dimensions; differential calculus of functions of several variables; multiple integration; vector calculus, including Green's and Stokes' Theorem; and applications.
Prerequisite: MATH S252 with C (2.00) or higher.

MATH S265 Introduction to Mathematical Proofs

3 credits (3+0)
Designed for students majoring in mathematics. A study of proof techniques used in mathematics. Topics include logic, elementary set theory, relations, and functions.
Prerequisite: MATH S251 with C (2.00) or higher or instructor approval.

MATH S302 Differential Equations

3 credits (3+0)
First order differential equations, higher order linear differential equations, systems of linear differential equations, power series, Laplace Transform, numerical methods, and applications.
Prerequisite: MATH S253 with C (2.00) or higher or instructor approval.

MATH S305 Geometry

3 credits (3+0)
Selected topics from Euclidean geometry, hyperbolic geometry, elliptic geometry, projective geometry or affine geometry.
Prerequisite: MATH S251 with C (2.00) or higher.

MATH S314 Linear Algebra

3 credits (3+0)
Linear equations, finite dimensional vector spaces, matrices, determinants, linear transformations, eigenvalues, inner product spaces.
Prerequisite: MATH S251 with C or higher.

MATH S392 Junior Seminar

1 credit (1+0)
Advanced topics in mathematics that are not found in other course offerings. Possible topics include topology, number theory, and problem solving. Pass/Fail grading. May be repeated for credit.
Prerequisite: MATH S252 (formerly 201) and MATH S265 (formerly MATH 215) both with C higher.

MATH S401 Introduction to Real Analysis

3 credits (3+0)
A thorough development of continuity, convergence of sequences and series of numbers, convergence of sequences and series of functions.
Prerequisite: MATH S252 and MATH S265 both with C (2.00) or higher.

MATH S405 Abstract Algebra

3 credits (3+0)
Study of algebraic structures including groups, rings, integral domains, and fields.
Prerequisite: MATH S265 with C (2.00) or higher.

MATH S410 Complex Variables

3 credits (3+0)
Complex numbers and their algebraic properties; functions of complex variables; calculus of complex functions; selected applications.
Prerequisite: MATH S252 with C (2.00) or higher.

MATH S411 History of Mathematics

3 credits (3+0)
Topics in the history of mathematics from antiquity to the present.
Prerequisite: MATH S251 with C or higher.

MATH S460 Mathematical Modeling

3 credits (3+0)
Introduces the process of developing, analyzing and interpreting mathematical models. Specific areas of application will depend on student majors and/or areas of interest. Topics will be selected from applications of mathematical and statistical methods to the biological and physical sciences. Not repeatable for credit.
Prerequisite: MATH S251 with C (2.00) or higher.

MATH S492 Senior Seminar

1 credit (1+0)
Advanced topics in mathematics that are not found in other course offerings. Possible topics include topology, number theory, and problem solving. Students are required to give presentations. Pass/Fail grading. May be repeated for credit.May be repeated for credit.
Prerequisites: MATH 392 and departmental approval.