MATH096

Developmental Mathematics I

4.0 
College of Arts and Sciences 
This course is for students who have not acquired the techniques of algebra. It can also serve as a refresher course and must be followed by MATH 100, as a prerequisite for MATH 120, 125, 140, or TMAT 135.
Classroom Hours  Laboratory and/or Studio Hours – Course Credits: 504

MATH100

Developmental Mathematics II

4.0 
College of Arts and Sciences 
A continuation of the sequence of topics in algebra begun in MATH 096. This course may not be challenged and may not be substituted for required mathematics credit. This course, or its equivalent, is a prerequisite for MATH 120, 125, 140 or TMAT 135.
Prerequisite Course(s): MATH096
Classroom Hours  Laboratory and/or Studio Hours – Course Credits: 504

MATH101

Developmental Mathematics I/II

4.0 
College of Arts and Sciences 
Designed for the accelerated student who has had some skills in algebra and is more motivated to finish at a faster pace. Topics covered include basic operations of signed integers and fractions, factoring, basic operations of algebraic fractions, exponents and radicals, functions and graphs, and equations. This course or its equivalent is a prerequisite for MATH 120, 125, 140, or TMAT 135.
Prerequisite Course(s): Math Placement Exam
Classroom Hours  Laboratory and/or Studio Hours – Course Credits: 504

MATH115

Introductory Concepts of Mathematics

3.0 
College of Arts and Sciences 
A course on selected topics in mathematics for students of the humanities, especially in communication arts. Topics include: graphs, matrices, elements of linear programming, finite probabilities, introduction to statistics. Applications to reallife situations are emphasized. The place of these topics in the history of mathematics is outlined.
Classroom Hours  Laboratory and/or Studio Hours – Course Credits: 303

MATH125

Finite Mathematics

3.0 
College of Arts and Sciences 
Review of elementary algebra and selected topics in statistics and probability. Sets, real numbers, graphing, linear and quadratic equations and inequalities, relations and functions, solving systems of linear equations, descriptive statistics, frequency distributions, graphical displays of data, measures of central tendency and dispersion, introduction to probability.
Prerequisite Course(s): MATH100 or MATH101 or Math Placement Exam
Classroom Hours  Laboratory and/or Studio Hours – Course Credits: 303

MATH141

Precalculus

4.0 
College of Arts and Sciences 
A study of relations and functions; inequalities; complex numbers; quadratic equations; linear systems of equations; higher degree equations; trigonometric functions; identities; functions of composite angles; graphs of the trigonometric functions; exponential and logarithmic functions; and binomial theorem. Note: A graphing calculator is used throughout the course.
Prerequisite Course(s): MATH100 or MATH101 or Math Placement Exam
Classroom Hours  Laboratory and/or Studio Hours – Course Credits: 404

MATH151

Fundamentals of Calculus

3.0 
College of Arts and Sciences 
Applications of calculus to business and social science. Intuitive use of limits and continuity. Derivatives, extrema, concavity, and applications such as marginal analysis, business models, optimization of tax revenue, and minimization of storage cost. The exponential and logarithmic functions. Antiderivatives and the definite integral. Areas and consumer's surplus. Some concepts of probability extended to discrete and continuous sample spaces.
Prerequisite Course(s): MATH125 or MATH140 or MATH141 or TMAT135 or TMAT155 or Math Placement Exam
Classroom Hours  Laboratory and/or Studio Hours – Course Credits: 303

MATH160

Intro Calculus

3.0 
College of Arts and Sciences 
Prerequisite Course(s): MATH140 or MATH141 or TMAT155
Classroom Hours  Laboratory and/or Studio Hours – Course Credits: 303

MATH161

Basic Applied Calculus

3.0 
College of Arts and Sciences 
An introduction to calculus and its applications. Topics include functions, limits, the derivative, tangent line, the chain rule, maxima and minima, curve sketching, applications, antiderivatives, fundamental theorem of calculus, integration by simple substitution, finding areas.
Prerequisite Course(s): MATH140 or MATH141 or TMAT155 or Math Placement Exam
Classroom Hours  Laboratory and/or Studio Hours – Course Credits: 303

MATH170

Calculus I

4.0 
College of Arts and Sciences 
Study of lines and circles. Functions, limits, derivatives of algebraic functions, introduction to derivatives of trigonometric functions. Application of derivatives to physics problems, related rates, maximumminimum word problems and curve sketching. Introduction to indefinite integrals. The conic sections.
Prerequisite Course(s): MATH140 or MATH141 or TMAT155 or Math Placement Exam
Classroom Hours  Laboratory and/or Studio Hours – Course Credits: 404

MATH180

Calculus II

4.0 
College of Arts and Sciences 
Riemann sums, the definite integral, the fundamental theorem of the calculus. Area, volumes of solids of revolution, arc length, work. Exponential and logarithmic functions. Inverse trigonometric functions. Formal integration techniques. L'Hopital's rule, improper integrals. Polar coordinates.
Prerequisite Course(s): MATH170
Classroom Hours  Laboratory and/or Studio Hours – Course Credits: 404

MATH210

Plane Geometry

3.0 
College of Arts and Sciences 
This course is directed toward understanding the main concepts of plane geometry, as applicable to high school teaching. Topics include polygons, tessellations, symmetry, polyhedra, metric and nonmetric geometry, topological properties of plane figures.
Prerequisite Course(s): MATH140 or MATH141 or TMAT155
Classroom Hours  Laboratory and/or Studio Hours – Course Credits: 303

MATH215

Introduction to Sets and Logic

3.0 
College of Arts and Sciences 
An introduction to set theory and the foundations of mathematics. Topics in set theory include: deMorgan's Laws, infinite sets, cardinals and ordinals, combinatorics. Topics in logic include: paradoxes, mathematical induction, propositional logic, rules of inference, predicate logic.
Classroom Hours  Laboratory and/or Studio Hours – Course Credits: 303

MATH220

Probability Theory

3.0 
College of Arts and Sciences 
An introduction to probability theory and its applications with emphasis on stochastic processes such as random walk phenomena and waiting time distributions. Computer graphics simulations will be used. Students use mathematical modeling/multiple representations to provide a means of presenting, interpreting communication, and connecting mathematical information and relationships. Topics include sets; events; sample spaces; mathematical models of random phenomena; basic probability laws; conditional probability; independent events; Bernoulli trials; binomial, hypergeometric, Poisson, normal and exponential distributions; random walk and Markov chains.
Prerequisite Course(s): MATH180
Classroom Hours  Laboratory and/or Studio Hours – Course Credits: 303

MATH235

Applied Statistics

3.0 
College of Arts and Sciences 
An introduction to modern inferential statistics with appropriate applications to telecommunications and related fields. Major topics covered are descriptive statistics, introduction to probability, binomial distribution, normal distribution, sampling and the Central Limit Theorem, estimation, hypothesis testing, regression and correlation, chisquare analysis and analysis of variance. The primary focus in this course will be on application of these statistical ideas and methods. Students will be required to conduct individual statistical projects involving the collection, organization and analysis of data.
Prerequisite Course(s): MATH150 or MATH151 or MATH170
Classroom Hours  Laboratory and/or Studio Hours – Course Credits: 303

MATH260

Calculus III

4.0 
College of Arts and Sciences 
Sequences and series, Taylor series. Vector analysis and analytic geometry in three dimensions. Functions of several variables, partial derivatives, total differential, the chain rule, directional derivatives and gradients. Multiple integrals and applications.
Prerequisite Course(s): MATH180
Classroom Hours  Laboratory and/or Studio Hours – Course Credits: 404

MATH310

Linear Algebra

3.0 
College of Arts and Sciences 
Matrices and systems of linear equations, vector spaces, change of base matrices, linear transformations, determinants, eigenvalues and eigenvectors, canonical forms.
Prerequisite Course(s): MATH180
Classroom Hours  Laboratory and/or Studio Hours – Course Credits: 303

MATH320

Differential Equations

3.0 
College of Arts and Sciences 
Solving first order ordinary differential equations: exact, separable, and linear. Application to rates and mechanics. Theory of higher order linear differential equations. Method of undetermined coefficients and variation of parameters. Application to vibrating mass and electric circuits. Power series solutions: ordinary and singular points, the method of Frobenius. Partial differential equations: the method of separation of variables.
Prerequisite Course(s): MATH260
Classroom Hours  Laboratory and/or Studio Hours – Course Credits: 303

MATH350

Advanced Calculus

3.0 
College of Arts and Sciences 
Topics include: Vector functions of several variables, the Jacobian matrix, the generalized chain rule, inverse function theorem, curvilinear coordinates, the Laplacian in cylindrical and spherical coordinates, Lagrange multipliers, line integrals, vector differential and integral calculus including Green's, Stokes's and Gauss's theorem. The change of variable in multiple integrals, Leibnitz's rule, sequences and uniform convergence of series.
Prerequisite Course(s): MATH260
Classroom Hours  Laboratory and/or Studio Hours – Course Credits: 303

MATH360

Functions of a Complex Variable

3.0 
College of Arts and Sciences 
The general theory of functions of a complex variable, analytic functions, the CauchyRiemann equations, the Cauchy integral theorem and formula, Taylor series, Laurent series, singularities and residues, conformal mappings with applications to problems in applied science.
Prerequisite Course(s): MATH260
Classroom Hours  Laboratory and/or Studio Hours – Course Credits: 303

MATH450

Partial Differential Equations

3.0 
College of Arts and Sciences 
Generalities on linear partial differential equations and their applications to physics. Solution of initial boundary value problems for the heat equation in one dimension, eigenfunction expansions. Definition and use of Fourier series and Fourier transform. Inhomogeneous problems. The wave equation in one dimension. Problems in two dimensions: vibrating rectangular membranes, Dirichlet and Neumann problems.
Prerequisite Course(s): MATH320
Classroom Hours  Laboratory and/or Studio Hours – Course Credits: 303

MATH455

Numerical Analysis

3.0 
College of Arts and Sciences 
The following topics are covered: solution of algebraic and transcendental equations by NewtonRaphson, Muller, and other iterative methods including discussion of convergence considerations, finite and divided differences, numerical integration by NewtonCotes and Gaussian methods, solution of ordinary differential equations by predictorcorrector and RungeKutta methods, Gaussian elimination and band matrices. Additional topics are selected from: Operator methods, interpolation, numerical differentiation, Romberg extrapolation, stability, boundary value problems, polynomial and spline approximation.
Prerequisite Course(s): MATH320
Classroom Hours  Laboratory and/or Studio Hours – Course Credits: 303

MATH460

Advanced Seminar

3.0 
College of Arts and Sciences 
Advanced topics of current interest in mathematics.
Classroom Hours  Laboratory and/or Studio Hours – Course Credits: 303
