MATHEMATICS (MATH)

MATH 0300 Basic Mathematics. Three semester hours.

Arithmetic, basic algebra, units of measurement; Euclidean geometry; introduction to algebra, and graphing linear inequalities. Studnts completing course successfully will earn University credits but not credit toward graduation.

MATH 0301 Pre-algebra. Three semester hours

Review of arithmetic, linear inequalities and Euclidean geometry. The course will also include the algebra of polynomials and rational functions. Students completing course successfully will earn University credits but not credit toward graduation. Prerequisite: high school algebra.

MATH 1305 College Algebra. Three semester hours.

The fundamentals of algebra; polynomials and graphs; conic sections; systems of linear equations, matrices; sequences and series; mathematical induction and the binomial theorem. Prerequisite: freshman standing.

MATH 1310 Plane Trigonometry. Three semester hours.

Trigonometry, analytic trigonometry, applications of trigonometry, complex numbers, polar coordinates and parametric equations. Prerequisite: MATH 1305.

MATH 1320 Analytic Geometry. Three semester hours.

Equations and inequalities in R, R2, and R3; transcendental functions; vectors in R2 and R3. Prerequisite: MATH 1310or MATH 1415.

MATH 1324 Business Mathematics I. Three semester hours.

Systems of linear equations and matrices; linear programming; mathematics of finance; limits, continuity, derivatives. Prerequisite: MATH 1305.

MATH 1325 Business Mathematics II. Three semester hours.

Applications of the derivative; techniques of integration; functions and calculus of several variables. Prerequisite: MATH 1324.

MATH 1342 Introductory Statistics. Three semester hours.

Topics include organization of data; probability; random variables; the normal distribution; inferences; chi-square; regression and correlation; analysis of variance; and non-parametric statistics. Prerequisite: MATH 1305.

MATH 1415 Pre-Calculus. Four semester hours.

A more advanced course than both MATH 1305 and MATH 1310 giving a review of their combined content. Prerequisite: advanced high school mathematics or permission of instructor.

MATH 2405 Calculus I. Four semester hours.

Limits, continuity, differentiation, applications to optimization; integration and the Fundamental Theorem of Calculus. Prerequisite: MATH 1310 or MATH 1415.

MATH 2406 Calculus II. Four semester hours.

Techniques of integration; applications: arc lengths, surface areas, volumes, work, centers of mass, etc.; series and power series; parametric equations; coordinate systems. Prerequisite: MATH 2405.

MATH 2410 Calculus III. Four semester hours.

Vector operations in R2, R3, lines, planes; vector-functions, space curves, curvature; multi-variable calculus, optimization, Lagrange multipliers; multiple integrals; vector fields, theorems of Green, Gauss and Stokes. Prerequisite: MATH 2406.

MATH 3301 Mathematics for the Professions. Three semester hours.

Abstract models of basic mathematical functions; transformation of geometric figures; linear equations and inequalities; and descriptive and inferential statistics. Prerequisite: MATH 1305.

MATH 3310 Introduction to Linear Algebra. Three semester hours.

Introduction to linear transformations and matrices; vector spaces, vector operations. Prerequisite: MATH 2410.

MATH 3320 Modern Geometry. Three semester hours.

This course will treat topics from plane geometry. A brief introduction to hyperbolic geometry will also be given. Prerequisite: MATH 1305 or permission of instructor.

MATH 3330 Ordinary Differential Equations. Three semester hours.

This is a first course in ordinary differential equations. It will cover first order equations, differential operators, linear systems and Laplace transforms. Prerequisite: MATH 2410.

MATH 3360 Statistical Analysis. Three semester hours.

Fundamentals of probability, distribution theory, random variables, law of large numbers, central limit theorems, statistical inequalities. Prerequisite: MATH 2406.

MATH 3365 Discrete Mathematics. Three semester hours.

Counting, induction, the binomial theorem; number theory; sets, relations and functions. Prerequisite: MATH 2405.

MATH 4310 Abstract Algebra. Three semester hours.

Rings, fields; groups and group actions. Prerequisite: MATH 3365.

MATH 4315 Galois Theory. Three semester hours.

Introduction to the theory of equations and field extensions. Prerequisite: MATH 4310. May be taken for graduate credit.

MATH 4330 Numerical Linear Algebra.. Three semester hours.

Numerical methods for problems of linear algebra, including the solution of large systems, eigenvalues and eigenvectors. Prerequisite: MATH 3310.

MATH 4335 Advanced Calculus. Three semester hours.

A course in real analysis. It will include topology, continuity, differentiation, integration, sequences, series and power series. Prerequisite: MATH 2410.

MATH 4340 Numerical Analysis.. Three semester hours.

Iterative techniques, error analysis, root finding, interpolation, approximation, numerical integration, numerical solution of differential equations. Prerequisite: MATH 4335.

MATH 4345 Complex Variables.. Three semester hours.

This is a course in complex variables which will include analytic functions, power series, the theory of residues and conformal mappings. Prerequisite: MATH 4335 or permission of instructor. May be taken for graduate credit.

MATH 4350 Partial Differential Equations. Three semester hours.

This is an introductory course in partial differential equations. It will include such topics as the following: derivation of equations of mathematical physics, Fourier series, separation of variables, Sturm-Liouiville systems, finite Fourier transforms. Prerequisite: MATH 3330.

MATH 4355 Selected Topics in Mathematics. Three semester hours.

Topics selected from the fields of pure or applied mathematics. May be repeated when topic changes. Prerequisites: senior standing and permission of instructor.

MATH 4360 General Topology. Three semester hours.

Basic concepts of point-set topology including connectedness, compactness, etc. and metric spaces. Prerequisite: MATH 4335 or permission of instructor. May be taken for graduate credit.

MATH 4395 Senior Mathematics Project. Three semester hours.

A study project under the direction of a member of the mathematics faculty. Required will be a written report, oral presentation and approval by both the advisor and one additional mathematics faculty member. Prerequisite: senior standing and permission of instructor.

MATH 5310 General Topology. Three semester hours.

Basic concepts of point-set topology including connectedness, compactness, etc. and metric spaces. Prerequisite: graduate standing and MATH 4335.

MATH 5355 Advanced Topics in Mathematics. Three semester hours.

Advanced topics selected from the fields of pure or applied mathematics. May be repeated when topic changes. Prerequisite: graduate standing and permission of instructor.