Mathematics

Name	Title	Credits	School
MATH-096	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: 5-0-4
MATH-100	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): MATH-096 Classroom Hours - Laboratory and/or Studio Hours – Course Credits: 5-0-4
MATH-101	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: 5-0-4
MATH-115	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 real-life situations are emphasized. The place of these topics in the history of mathematics is outlined. Classroom Hours - Laboratory and/or Studio Hours – Course Credits: 3-0-3
MATH-125	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): MATH-100 or MATH-101 or Math Placement Exam Classroom Hours - Laboratory and/or Studio Hours – Course Credits: 3-0-3
MATH-141	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): MATH-100 or MATH-101 or Math Placement Exam Classroom Hours - Laboratory and/or Studio Hours – Course Credits: 4-0-4
MATH-151	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): MATH-125 or MATH-140 or MATH-141 or TMAT-135 or TMAT-155 or Math Placement Exam Classroom Hours - Laboratory and/or Studio Hours – Course Credits: 3-0-3
MATH-160	Intro Calculus	3.0	College of Arts and Sciences
Prerequisite Course(s): MATH-140 or MATH-141 or TMAT-155 Classroom Hours - Laboratory and/or Studio Hours – Course Credits: 3-0-3
MATH-161	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): MATH-140 or MATH-141 or TMAT-155 or Math Placement Exam Classroom Hours - Laboratory and/or Studio Hours – Course Credits: 3-0-3
MATH-170	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, maximum-minimum word problems and curve sketching. Introduction to indefinite integrals. The conic sections. Prerequisite Course(s): MATH-140 or MATH-141 or TMAT-155 or Math Placement Exam Classroom Hours - Laboratory and/or Studio Hours – Course Credits: 4-0-4
MATH-180	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): MATH-170 Classroom Hours - Laboratory and/or Studio Hours – Course Credits: 4-0-4
MATH-210	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 non-metric geometry, topological properties of plane figures. Prerequisite Course(s): MATH-140 or MATH-141 or TMAT-155 Classroom Hours - Laboratory and/or Studio Hours – Course Credits: 3-0-3
MATH-215	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: 3-0-3
MATH-220	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): MATH-180 Classroom Hours - Laboratory and/or Studio Hours – Course Credits: 3-0-3
MATH-235	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, chi-square 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): MATH-150 or MATH-151 or MATH-170 Classroom Hours - Laboratory and/or Studio Hours – Course Credits: 3-0-3
MATH-260	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): MATH-180 Classroom Hours - Laboratory and/or Studio Hours – Course Credits: 4-0-4
MATH-310	Linear Algebra	3.0	College of Arts and Sciences
Matrices and systems of linear equations, vector spaces, change of base matrices, linear transformations, determinants, eigen-values and eigen-vectors, canonical forms. Prerequisite Course(s): MATH-180 Classroom Hours - Laboratory and/or Studio Hours – Course Credits: 3-0-3
MATH-320	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): MATH-260 Classroom Hours - Laboratory and/or Studio Hours – Course Credits: 3-0-3
MATH-350	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 co-ordinates, 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): MATH-260 Classroom Hours - Laboratory and/or Studio Hours – Course Credits: 3-0-3
MATH-360	Functions of a Complex Variable	3.0	College of Arts and Sciences
The general theory of functions of a complex variable, analytic functions, the Cauchy-Riemann 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): MATH-260 Classroom Hours - Laboratory and/or Studio Hours – Course Credits: 3-0-3
MATH-450	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, eigen-function 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): MATH-320 Classroom Hours - Laboratory and/or Studio Hours – Course Credits: 3-0-3
MATH-455	Numerical Analysis	3.0	College of Arts and Sciences
The following topics are covered: solution of algebraic and transcendental equations by Newton-Raphson, Muller, and other iterative methods including discussion of convergence considerations, finite and divided differences, numerical integration by Newton-Cotes and Gaussian methods, solution of ordinary differential equations by predictor-corrector and Runge-Kutta 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): MATH-320 Classroom Hours - Laboratory and/or Studio Hours – Course Credits: 3-0-3
MATH-460	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: 3-0-3