MATH 121 College Algebra
Set notation and operations, properties of real numbers, operations and laws of real numbers, algebraic expressions including polynomials, rational expressions, roots and exponents, radical expressions, functions and graphs, linear and quadratic equations, inequalities and exponential and logarithmic functions. Not applicable toward major in mathematics; not intended for potential science majors. Credit for both 121 and 123 is not allowed.

MATH 151 Calculus I
Graphical, numerical, and symbolic study of functions and limits; fundamental concepts of differentiation and integration. Differentiation formulas. Applications to exponential growth and decay, velocity and acceleration. Use of a CAS. Prerequisite: C or higher in 123 or permission of instructor. Four semester hours.

MATH 152 Calculus II
A continuation of Mathematics 151. Emphasis on some integration techniques. Applications of integration including area, volume, arc length, work, improper integrals; parametric equations. Use of a CAS. Prerequisite: C or higher in 151 or permission of instructor. Four semester hours.

MATH 161X Introduction to Statistics (Statistics 161)

MATH 201 Introduction to Mathematical Reasoning
Topics in discrete mathematics; mathematics topics and processes essential to proper understanding of material to be covered in advanced courses; emphasis on techniques of mathematical reasoning. Prerequisites: 151 and sophomore status or departmental permission.

MATH 253 Calculus III
Infinite series; two- and three-dimensional vectors, vector calculus; partial derivatives; multiple integrals. Use of a CAS. Prerequisite: C or higher in 152 or permission of instructor. Four semester hours.

MATH 311 Fundamentals of Mathematics I
Content and pedagogy of school mathematics. Problem solving, logic, sets, number theory, and structure and algorithms of rational numbers. Not applicable toward mathematics major. Prerequisite: one college level mathematics course and junior status.

MATH 312 Fundamentals of Mathematics II
Content and pedagogy of school mathematics. Problem solving, measurement, geometry, probability, and statistics. Not applicable toward mathematics major. Prerequisites: 311 and junior status.

MATH 321 Linear Algebra
Vector spaces, linear dependence, linear mappings, the algebra of matrices over a field, characteristic equations, characteristic roots. Prerequisite: 201.

MATH 340 Geometry
Topics from Euclidean geometry, using transformational approach; general axiomatic systems leading to finite and non-Euclidean geometries. Prerequisite: 201 or departmental permission.

MATH 350 Special Topics
Topics selected by the instructor for one semester of study based on needs and interests of students, including (but not limited to) number theory, cryptology, real analysis, graph theory, or coding theory. Prerequisites: junior or senior status and permission of instructor. One to four semester hours.

MATH 353 Differential Equations
Some first-order methods; second-order constant coefficient equations; series solutions; first-order linear and nonlinear systems and phase-plane analysis. Applications including population growth models, simple and forced harmonic motion, the pendulum, and chaotic behavior. Use of a CAS. Prerequisites: 201 and 253.

MATH 360 Mathematical Probability and Statistics
An introduction to the mathematical theories of probability and statistics, including some topics such as combinatorial methods, conditional probability and independence, discrete and continuous random variables, expectation, simple and multiple regression, analysis of variance, contingency tables, time series, logistic regression, and experimental design. Prerequisites: 152 and 160, or permission of instructor.

MATH 370 Discrete Structures
Theoretical foundations of computer science, including sets, functions, Boolean algebra, first order predicate calculus, trees, graphs, discrete probability. Prerequisites: 201 and knowledge of a high-level programming language or departmental permission.

MATH 420 History of Mathematics
The historical development of mathematics over the past 5,000 years, including typical mathematical problems from various historical periods and biographical and philosophical aspects of mathematics. Prerequisites: mathematics major with senior status or departmental permission. Two semester hours.

MATH 421 Modern Algebra
Binary systems, groups, rings, and fields. Normal subgroups, quotient groups, permutation groups, homomorphisms, isomorphisms, and Lagrange’s theorem. Prerequisite: 201.

MATH 440 Mathematical Modeling
Applications of mathematics to a wide variety of problems inherent in a technological society. Emphasis may vary among applications to physical, biological, and environmental systems or linear programming, queueing theory, Markov processes, and other problems of systems engineering. Emphasis on constructing mathematical interpretations of such problems. Prerequisites: 321 and 360.

MATH 451 Real Variable Theory
Introduction to mathematical analysis. Axiomatic development of the real number system. Examination of foundations of the theory of functions of real variable; limits, continuity, differentiation, and integration of functions of a single real variable, an infinite series. Prerequisites: 201 and 253.

MATH 455 Mathematics of the Physical Sciences
Functions of a complex variable and partial differential equations with emphasis on application to physical systems. Prerequisites: 353 and Physics 202, or departmental permission.

MATH 460 Independent Study
Individual study and research in mathematics, under the supervision of a faculty member. Prerequisites: junior or senior status, GPA of 3.0 in mathematics courses, and departmental permission. One to four semester hours.

MATH 470 and 471 Internship I and II
Work experience, jointly supervised by department and a professional in the field. Minimum 120 hours field work plus on-campus assignments. Prerequisites: 2.0 GPA overall and in mathematics, junior or senior status, permission of department, and completion of 151, 152, 253, and courses appropriate to the work experience. Pass-Fail only.

MATH 473 Numerical Analysis
Mathematical theory underlying selected numerical methods and the application of those methods to solving problems of practical importance. Computer programs used to facilitate calculations. Roots of equations, systems of linear equations, interpolation, approximation, and numerical integration. Prerequisites: 353 and knowledge of a high-level programming language.

MATH 480 Senior Seminar
Selected topics in mathematics; presentations by students, faculty, or visiting speakers. Prerequisite: mathematics major with senior status or departmental permission.