Mathematics
| 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: MATH 1111 or Placement by the Mathematics Assessment
Test
This course is designed to prepare students for calculus and related
technical subjects. Rational and transcendental functions and graphs. Triangle
and analytic trigonometry including identities and equations. Systems of
equations utilizing matrices. A grade of "C" or better is required for
course credit.
| MATH 2240 Survey of Calculus |
3-0-3 |
Prerequisite: 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: MATH 1113 or Placement by the Mathematics Assessment
Test
A beginning course in calculus. Topics include differentiation and
integration of algebraic and trigonometric functions, with applications
to graphs of functions, rectilinear motion, maxima and minima, areas, volumes,
and work.
No student may receive credit for both MATH 2253 and MATH 2240.
| 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, sequences and series,
and parametric equations.
| MATH 2255 Calculus III |
4-0-4 |
Prerequisite: MATH 2254
Topics include the calculus of vector-valued functions, functions of
several variables, and multiple integrals.
| 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 2901-2905 Special Topics |
variable credit-1 to 5 hours |
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
A continuation of multivariable calculus from MATH 2255, with linear
algebra.
| MATH 3261 Probability and Statistics II |
3-0-3 |
Prerequisite: MATH 2260
A continuation of MATH 2260. Management of data, design and analysis
of experiments distributions. Substantial time will be spent on the use
of a standard software package in the analysis and solution of statistical
problems. Intended as a terminal course for those who will use statistics
in a professional field.
| 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 |
Prerequisites: MATH 2254 , MATH 3345 or concurrently, or consent
of the department head.
An axiomatic treatment of real vector spaces. Bases, subspaces, linear
transformations, and related topics.
| 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 3345 Discrete Mathematics |
4-0-4 |
Prerequisite: MATH 2253
An introduction to the fundamentals of discrete mathematics. Topics
include matrices, counting, logic, induction, systems of linear equations,
relations, graphs and trees, finite state automata, and set theory.
| MATH 3901-3905 Special Topics |
variable credit-1 to 5 hours |
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 Advanced Engineering Mathematics |
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. Applications
to electromagnetic fields and to heat and fluid flow.
| MATH 4417 Functions of a Complex Variable |
3-0-3 |
Prerequisites: MATH 3321 , MATH 3256
An elementary introduction to complex analysis, the complex plane,
mappings and analytical functions of a complex variable, continuity, differentiation,
and integration.
| 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 |
variable credit-1 to 5 hours |
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.