**MATH 100. Basic College Mathematics (3; F, S)
**Three hours per week. This
course may not be used to satisfy the University's Core mathematics
requirement. Students may not enroll in this course if they have
satisfactorily completed a higher numbered MATH course. An overview of basic
algebraic and geometric skills. This course is designed for students who lack
the needed foundation in college level mathematics. A graphing calculator is
required.

**MATH 104. College Algebra (3; F, S)**

Three hours per week.
Prerequisite: MATH 100. This course may
not be used to satisfy the University's Core mathematics requirement.
Qualitative and quantitative aspects of linear, exponential, rational, and
polynomial functions are explored using a problem solving approach. Basic
modeling techniques, communication, and the use of technology is emphasized. A
graphing calculator is required.

**MATH 110. The Mathematics of Motion & Change (3; F, S)**

Three hours per week. Prerequisite: MATH 104. A study of the mathematics of
growth, motion and change. A review of algebraic, exponential, and trigonometric
functions. This course is designed as a terminal course or to prepare students
for the sequence of calculus courses. A graphing calculator is required.

**MATH 112. Modern Applications of Mathematics (3; F, S)
**Three hours per week. Prerequisite: MATH 104. Calculus concepts as
applied to real-world problems. Topics include applications of polynomial and
exponential functions and the mathematics of finance. A graphing calculator is
required.

**MATH 140. Calculus I (4; F, S)**

Four hours per week.
Prerequisite: A "C" or better in MATH 110. Rates of change, polynomial and
exponential functions, models of growth. Differential calculus and its
applications. Simple differential equations and initial value problems. A
graphing calculator is required.

**MATH 141. Calculus II (4; F, S)**

Four hours per week.
Prerequisite: A "C" or better in MATH 140. The definite integral, the
Fundamental Theorem of Calculus, integral calculus and its applications. An
introduction to series including Taylor series and its convergence. A graphing
calculator is required.

**MATH 150. Introduction to Discrete Structures (3; S)**

Three hours per week. Prerequisite: A "C" or better in one of MATH 110, MATH
112 or MATH 140. An introduction to the mathematics of computing. Problem
solving techniques are stressed along with an algorithmic approach. Topics
include representation of numbers, sets and set operations, functions and
relations, arrays and matrices, Boolean algebra, propositional logic, big O and
directed and undirected graphs.

**MATH 199. Special Topics (var. 1-4; AR)**May be repeated
for credit when topic changes. Selected topics of student interest and
mathematical significance will be treated.

**MATH 205. Elementary Statistics (3; F, S)**

Three hours per
week. Prerequisite: MATH 104. Credit
cannot be awarded for both MATH 205 and MATH 206. Organizing data,
averages and variations, concepts of probability, hypothesis testing,
estimation, correlation and regression. A graphing calculator is required.

**MATH 206. Statistical Methods in Science (4; S)**

Four
hours per week. Prerequisite: A "C" or better in MATH 140. Credit cannot be awarded for both MATH 205
and MATH 206. Concepts of probability, distributions of random variables,
estimation, hypothesis testing, regression, ANOVA, design of experiments,
testing of assumptions, scientific sampling and use of statistical software.
Many examples will use real data from scientific research. A graphing calculator
is required.

**MATH 220WI. Mathematics & Reasoning (3; S)**

Three
hours per week. Prerequisite: ENGL 103 and a "C" or better in MATH 141.
Fundamentals of mathematical logic, introduction to set theory, methods of proof
and mathematical writing.

**MATH 300. Calculus III (4; F, S)**

Four hours per week.
Prerequisite: A "C" or better in MATH 141. Functions of several variables,
vectors, partial derivatives, double and triple integrals, non-Cartesian
coordinate systems, vector fields and line integrals. A graphing calculator is
required.

**MATH 305. Mathematical Statistics (3)**

Three hours per
week. Prerequisite: A "C" or better in MATH 300. Probability, probability
distributions, density functions, expectations, moment-generating functions,
estimation and tests of hypothesis.

**MATH 306. Regression & Analysis of Variance Techniques
(3)**

Three hours per week. Prerequisites: A "C" or better in MATH
141, and a "C" or better in either MATH 205 or MATH 305. Theory of least
squares, simple linear and multiple regression, regression diagnostics, analysis
of variance, applications of techniques to real data and use of statistical
packages.

**MATH 307. College Geometry (3)**

Three hours per week.
Prerequisite: A "C" or better in MATH 141. A critical study of deductive
reasoning used in Euclid’s geometry including the parallel postulate and its
relation to non-Euclidean geometries.

**MATH 320. Linear Algebra (3; F)**

Three hours per week.
Prerequisite: A "C" or better in MATH 141. Systems of linear equations, matrix
algebra, linear transformations, determinants, vector spaces, eigenvectors and
eigenvalues and applications.

**MATH / PHIL 330. Symbolic Logic (3)**Three hours per week.
A study of modern formal logic, including both sentential logic and predicate
logic. This course will improve students' abilities to reason effectively.
Includes a review of topics such as proof, validity, and the structure of
deductive reasoning.

**MATH 331. Differential Equations (3; S)**

Three hours per
week. Prerequisite: A "C" or better in MATH 141. Qualitative and analytic study
of linear and non-linear differential equations and systems of differential
equations. The modeling of real world phenomena with ordinary differential
equations. Topics include separable equations, linear equations, phase plane
analysis, and Laplace Transforms.

**MATH 351. Applied Mathematics (3; F)**

Three hours per
week. Prerequisite: A "C" or better in both MATH 300 and MATH 331. Advanced
calculus and differential equations methods for analyzing problems in the
physical and applied sciences. Calculus topics include potentials, Green’s
Theorem, Stokes’ Theorem, and the Divergence Theorem. Differential equations
topics include series solutions, special functions, and orthogonal
functions.

**MATH 354. Introduction to Partial Differential Equations and Modeling
(3; S)**

Three hours per week. Prerequisite: A "C" or better in both
MATH 300 and MATH 331. Modeling problems in the physical and applied sciences
with partial differential equations, including the heat, potential, and wave
equations. Solution methods for initial value and boundary value problems
including separation of variables, Fourier analysis, and the method of
characteristics.

**MATH 400SI. History of Mathematics (3)**

Three hours per
week. Prerequisite: A "C" or better in MATH 220WI and junior or senior status.
This course may not be used to satisfy
the University's Core mathematics requirement. A study of the history of
mathematics. Students will complete and present a research paper. Students will
gain experience in professional speaking.

**MATH 411. Introduction to Real Analysis (3)**Three hours
per week. Prerequisite: A "C" or better in both MATH 220WI and MATH 300.
Foundations of real analysis including sequences and series, limits, continuity,
and differentiability. Emphasis on the rigorous formulation and writing of
proofs.

**MATH 412. Introduction to Complex Variables (3) **Three
hours per week. Prerequisite: A "C" or better in both MATH 220WI and MATH 300.
Algebra of complex numbers, analytic functions, elementary functions, line and
contour integrals, series, residues, poles and applications.

**MATH 423. Algebraic Structures (3)**

Three hours per week.
Prerequisite: A "C" or better in MATH 220WI. An overview of groups, rings,
fields and integral domains. Applications of abstract algebra.

**MATH 430. Reading List (2; S)**

Two hours per week.
Prerequisite: Junior or senior status. A capstone course. Examination of
significant mathematical literature. Problem solving.

**MATH 440. Special Topics (var. 1-3; AR)**

Prerequisite: A
"C" or better in MATH 220WI or consent of the instructor. May be repeated for
credit when topic changes. Selected topics of student interest and mathematical
significance will be treated.

**MATH 501. Introduction to Analysis (3)**Three hours per
week. A study of real numbers and the important theorems of differential and
integral calculus. Proofs are emphasized, and a deeper understanding of calculus
is stressed. Attention is paid to calculus reform and the integrated use of
technology.

**MATH 502. Survey of Geometries (3)**

Three hours per week.
An examination of Euclidean and non-Euclidean geometries. Transformational and
finite geometries.

**MATH 503. Probability & Statistics (3)**Three hours
per week. Probability theory and its role in decision-making, discrete and
continuous random variables, hypothesis testing, estimation, simple linear
regression, analysis of variance and some nonparametric tests. Attention is paid
to statistics reform and the integrated use of technology.

**MATH 504. Special Topics (3; AR)**

Three hours per week.
May be repeated for credit when topic changes. Course content will vary
depending on needs and interests of students.

**MATH 507. Number Theory (3)**Three hours per week. An
introduction to classical number theory. Topics include modular arithmetic, the
Chinese Remainder Theorem, primes and primality testing, Diophantine equations,
multiplicative functions and continued fractions.

**MATH 508. Introduction to Mathematical Modeling (3)
**Three hours per week. An introduction to mathematical modeling of
real world problems. Growth models, dynamical models and difference equations,
curve fitting, optimal solutions.

**MATH 510. Seminar in the History of Mathematics (3)**

Three hours per week. Important episodes, problems and discoveries in
mathematics, with emphasis on the historical and social contexts in which they
occurred.

**MATH 515. Combinatorics (3)**Three hours per week. A
survey of the essential techniques of combinatorics. Applications motivated by
the fundamental problems of existence, enumeration and optimization.

**MATH 520. Linear Algebra (3)**

Three hours per week.
Applications of concepts in linear algebra to problems in mathematical modeling.
Linear systems, vector spaces and linear transformations. Special attention will
be paid to pedagogical considerations.

**MATH 531. Theory of Ordinary Differential Equations (3)**

Three hours per week. Existence and uniqueness theorems. Qualitative and
analytic study of ordinary differential equations, including a study of first
and second order equations, first order systems and qualitative analysis of
linear and nonlinear systems. Modeling of real world phenomena with ordinary
differential equations.

**MATH 600. Thesis Seminar (1-3)**

One to three hours per
week. Research guidance. May be repeated for credit up to a total of three
semester hours.

**MATH 699. Thesis Preparation and Research (1) **Master of
Arts in Mathematics students who have not completed their thesis and are not
enrolled in any other graduate course must enroll in MATH 699 each fall and
spring semester until final approval of their thesis. This course is Pass/Fail
and does not count towards any graduate degree.