# 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.**Prerequisite:** MATH S151 or STAT S107 with C (2.00) or higher.

**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.**Prerequisite:** MATH S151 or STAT S107 with C (2.00) or higher.

**MATH S251 Calculus I **

4 credits (4+0)

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)

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 S291 Internship: **

**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 S311 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 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 S324 Advanced Calculus **

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 S375 Selected Topics: **

**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. May be repeated for credit.**Prerequisite:** MATH S252 and MATH S265 both 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. May be repeated for credit.**Prerequisites:** MATH S392 and departmental approval.