MATH 1111  College Algebra
3-0-3
Prerequisite: Placement by the Mathematics Assessment Test
A functional approach to algebra which incorporates the use of appropriate technology. Review of symbolic manipulation and solutions of equations and inequalities. Linear, quadratic, polynomial, exponential, and logarithmic functions, graphs and applications. A grade of "C" or better is required for course credit.

MATH 1113  Precalculus
4-0-4
Prerequisite: A grade of "C" or higher in MATH 1111 or Placement by the Mathematics Assessment Test
Rational and transcendental functions and graphs.  Triangle and analytic trigonometry including identities, equations, and applications.  Law of Sines, Law of Cosines, applications of trigonometry to vectors and complex numbers.  Systems of equations using matrices.  A grade of "C" or better is required for course credit.

MATH 2240  Survey of Calculus
3-0-3
Prerequisite: A grade of "C" or better in MATH 1113 or Placement by the Mathematics Assessment Test
Derivatives and integrals of polynomial, rational, logarithmic and exponential functions. Variable rate of change, amount of accumulated change, and graphing. Applications to problems in business, management, and economics are emphasized, with some attention to problems in the social sciences.  No student may receive credit for both MATH 2240 and MATH 2253.

MATH 2253  Calculus I
4-0-4
Prerequisite: A grade of "C" or higher in MATH 1113 or Placement by the Mathematics Assessment Test
A first course in Calculus.  Limits, derivatives and integrals of algebraic and trigonometric functions, tangent lines, instantaneous rate of change, maxima, minima and graphing, related rates, linear motion.  Also included:  definite integrals, area between curves, moments, work, and volumes of rotation.  No student may receive credit for both MATH 2240 and MATH 2253.

MATH 2254  Calculus II
4-0-4
Prerequisite:  MATH 2253
A continuation of MATH 2253. Topics include differentiation and integration of transcendental functions, integration techniques, indeterminate forms, infinite sequences and series, Taylor and Maclaurin series, parametric equations, L'Hopital's Rule, improper integrals, and polar coordinates.

MATH 2255  Calculus III
4-0-4
Prerequisite:  MATH 2254
Topics include: vectors in two and three dimensions, dot and cross product, lines and planes in space, cylindrical and spherical coordinates, vector functions, tangents and normals, velocity and acceleration, arclength and curvature, functions of several variables, partial derivatives, chain rules, directional derivatives and gradients, tangent planes and extrema, multiple integrals in rectangular, polar, cylindrical, and spherical coordinates.

MATH 2260  Probability and Statistics I
3-0-3
Prerequisite:  MATH 2240 or MATH 2253 A basic course in probability and statistics
Topics include expectation, independent and conditional probability, combinations and permutations, organization and analysis of data, standard probability distributions, and hypothesis testing. The emphasis is on the applications and methods with applicability in technical and managerial fields.

MATH 2306  Ordinary Differential Equations
3-0-3
Prerequisite:  MATH 2254
Methods of solving ordinary differential equations of first and higher order. Systems of linear differential equations and solutions using the Laplace transform.  Fourier series.  Mechanical and electrical engineering applications are included.

MATH 2335  Numerical Methods I
3-0-3
Prerequisites:  MATH 2254, knowledge of a higher level programming language
Methods of numerical computation. Error analysis, solutions of equations, interpolation, quadrature, and linear systems. The course emphasizes the effective application of numerical approximation techniques in the solution of problems frequently encountered in engineering and science.

MATH 2345  Discrete Mathematics
3-0-3
Prerequisite:  MATH 1113
An introduction to the fundamentals of discrete mathematics. Topics include sets, formal logic, methods of proof, counting, relations, functions, graphs and trees, and finite state automata.

MATH 2901-2905  Special Topics
1 to 5
Special topics in mathematics.  Either a course taught on a one-time basis or a pre-arranged project conducted by specific written arrangement with an individual instructor.

MATH 3256  Linear Algebra and Calculus
3-0-3
Prerequisite:  MATH 2255
Topics include:  Matrices and matrix algebra, determinants, linear systems of equations, change of coordinates, eigenvalues, linear and quadratic approximations, extrema for functions of several variables, Lagrange multipliers, vector fields, line integrals, conservative fields and path independence, Green's Theorem, parametric surfaces, surface integrals, Divergence Theorem, Stoke's Theorem.

MATH 3261  Probability and Statistics II
3-0-3
Prerequisite:  MATH 2260
The use of a software package, such as MINITAB, is integrated with descriptive statistics, simulation, confidence intervals and hypothesis testing.  Hypothesis testing/confidence interval topics include large and small tests for the population mean, large sample tests for the population proportion, correlation and regression on one and several variables and chi-square testing.  As time permits, additional topics may be covered.

MATH 3268  Probability Theory
3-0-3
Prerequisite:  MATH 2254
Axioms of probability, counting techniques, discrete and continuous univariate and multivariate random variables, expectation, Markov Inequality, moment generating functions, and applications of probability to statistical decisions.

MATH 3312  Linear Algebra
4-0-4
Prerequisite:  MATH 2254
An axiomatic treatment of real vector spaces, including computational and theoretical basics.  Topics include bases, subspaces, linear transformations, matrix operations, diagonalization, inner product spaces, and eigenvalues.

MATH 3320  The Real Line
4-0-4
Prerequisite:  MATH 2254
The structure of the real number system line from a topological and analytical point of view.  Topics include the continuous nature of the real line, open and closed sets, sequences and formal convergence, compactness, topics related to functions of a real variable.

MATH 3321  Functions of a Real Variable
4-0-4
Prerequisite:  MATH 3320
A continuation of MATH 3320. Topics include continuity, uniform continuity, formal definitions of the derivative and integral, covers, and composite functions.

MATH 3336  Numerical Methods II
3-0-3
Prerequisites:  MATH 2306, MATH 2335
A continuation of MATH 2335.  Systems of equations, approximation theory, and differential equations.  Understanding the nature and limitations of each method is emphasized.

MATH 3901-3905  Special Topics
1 to 5
Special topics in mathematics.  Either a course taught on a one-time basis or a pre-arranged project conducted by specific written arrangement with an individual instructor.

MATH 4406  Differential Equations II
3-0-3
Prerequisite:  MATH 2306
Topics include orthogonal functions, Sturm-Liouville problem, boundary value problems for partial differential equations, the heat equations, wave equation, Laplace equation and power series solutions. Included are Bessel functions, Legendre polynomials, and their applications.

MATH 4407  Vector Analysis
3-0-3
Prerequisite:  MATH 2255
Scalar and vector fields, the del operator, curl, divergence, line integrals, conservative fields and potentials, and surface integrals. The divergence theorem and Stokes' theorem. Applications to electromagnetic fields and to heat and fluid flow.

MATH 4417  Functions of a Complex Variable
3-0-3
Prerequisites:  MATH 2255
An elementary introduction to complex analysis, the complex plane, mappings and analytical functions of a complex variable, continuity, differentiation, and integration, Taylor and Laurent series.

MATH 4440  Abstract Algebra
4-0-4
Prerequisite:  MATH 3312
A first course in abstract algebra. Topics include operations, the concept of homomorphism, and a standard approach to groups, rings, and fields.

MATH 4451  Applications of Mathematics
3-0-3
Prerequisites:  MATH 2306, MATH 3256
Prerequisites or Corequisites:  MATH 3321, MATH 4440
Projects in the application of mathematics to various problems, including those of business, industry and science. The emphasis is on the formulation and solution of problems using known mathematics.

MATH 4901-4905  Special Topics
1 to 5
Special topics in mathematics.  Either a course taught on a one-time basis or a pre-arranged project conducted by specific written arrangement with an individual instructor.