Undergraduate Mathematics Course Descriptions

MATH 104   Elementary Mathematical Modeling    Three Credit Hours
     Prerequisites: Two years of high school algebra
     The course will introduce student to mathematical models of real world problems. In particular, students will use graphs, functions, and tables to describe data and use the models to interpolate and extrapolate. Functions studied will include linear, quadratic, and exponential. Students will be expected to interpret results in writing and use technology to solve and display results.

MATH 105    Finite Mathematics    Three Credit Hours
     Prerequisites: Two years of high school algebra
     An introduction to finite mathematics with an emphasis on applications and formulation of problems in mathematical language. Topics selected from matrices, linear programming, mathematics of finance, counting methods, probability, and statistics. The course includes work using a computer software package.

MATH 106   Applied Calculus I    Three Credit Hours
     Prerequisite: Two years of high school algebra
     An introduction to differential and integral calculus of polynomials, exponential, and logarithmic functions with an emphasis on applications to business and the life and social sciences. Students may not receive credit for both MATH 106 and MATH 131.

MATH 107    Applied Calculus II    Three Credit Hours
     Prerequisite: MATH 106 with a grade of “C” or higher, or MATH 131 with a grade of “C” or higher.
     Required for all degrees in chemistry and biology
     A continuation of the calculus introduced in MATH 106. Topics include techniques of integration, applications of integrals, improper integrals, partial derivatives and applications, and a brief introduction to double integrals.

MATH 119    College Algebra and Trigonometry    Four Credit Hours
     A modern treatment of the essential topics of college algebra and trigonometry. The course involves work using a graphics calculator. Offered for students whose mathematics requirement begins with calculus and whose background has been determined by the Department of Mathematics and Computer Science to be inadequate. A student who passes MATH 119 and subsequently changes to a major that does not require MATH 131 may substitute MATH 119 for MATH 104

MATH 131    Analytic Geometry and Calculus I    Four Credit Hours
     Prerequisite: One of MATH 119 with a grade of “C” or higher, a satisfactory score on the placement exam, or approval of the department head
     Required for B. S. degrees in computer science, civil and electrical engineering, mathematics, and physics and for the B. A. degree in mathematics.
     Limits, derivatives, applications of the derivative, antiderivatives and definite integrals.
     Students who complete MATH 131 and change to a major which does not require MATH 132 must complete one additional MATH course. NOTE: Students may not receive credit for both MATH 106 and MATH 131.

MATH 132    Analytic Geometry and Calculus II    Four Credit Hours
     Prerequisite: MATH 131 with a grade of “C” or higher, or HONR 131 with a grade of “C” or higher
     Required for B. S. degrees in computer science, civil and electrical engineering, mathematics, and physics and for the B. A. degree in mathematics.
     Applications of the integral, transcendental functions, techniques of integration, series and sequences of real numbers, Taylor series, and power series.

MATH 206    Introduction to Discrete Structures    Three Credit Hours
     Prerequisite: One of MATH 131, HONR 131, or MATH 106 with a grade of C or higher.
     Required for B. S. degrees in computer science and mathematics and for the B. A. degree in mathematics
     Set algebra including relations and functions, propositional and predicate logic, combinatorics, graphs, and applications of these to various areas of computer science.

MATH 231    Analytic Geometry and Calculus III    Four Credit Hours
     Prerequisites: MATH 132 or HONR 132
     Required for B. S. degree in engineering, mathematics, and physics and for the B. A. degree in mathematics.
     The analytical geometry of two and three dimensions, the differential and integral calculus of functions of two or more variables, and vector differential calculus.

MATH 234    Applied Engineering Mathematics I    Four Credit Hours
     Prerequisite: MATH 132
     Required of all mathematics, civil engineering, electrical engineering and physics majors.
     An integrated course in linear algebra and differential equations. Topics include differential equations of the first order and degree, linear differential equations of higher order, systems of differential equations, the Laplace transform, vector spaces, bases, linear transformations, systems of linear equations, algebra of matrices, and determinants.

MATH 240    Linear Algebra    Three Credit Hours
     Prerequisite: MATH 132 or MATH 107 or HONR 132
     Required for B. S. degrees in computer science and mathematics and for the B. A. degree in mathematics.
     Systems of linear equations, algebra of matrices, inverses, determinants, vector spaces with emphasis on Euclidean vector spaces, bases, subspaces, transformations, eigenvalues and eigenvectors, and quadratic forms.

MATH 303    Modern Algebra I and
MATH 304    Modern Algebra II    Three Credit Hours Each Semester
     Prerequisites: For MATH 303: MATH 206 and MATH 240. For MATH 304: MATH 303.
     MATH 303 is required for both the B.S. and B.A. degrees in mathematics.
     A two-semester sequence in the algebraic structures which lie at the foundations of many areas of modern mathematics. Topics chosen from theory of groups, rings, integral domains, and fields, coding theory, Galois theory, modules, and Euclidean constructions.

MATH 305    Modern Geometry    Three Credit Hours
     Prerequisite: MATH 132 or MATH 107 or HONR 132
     Special topics from axiomatic geometries. Topics include Euclidean geometry, projective geometry, non-Euclidean geometry, and metric projective geometry.

MATH 335    Applied Engineering Mathematics II    Three Credit Hours
     Prerequisite: MATH 231 and MATH 234
     Required for all electrical engineering and physics majors.
     Advanced topics in differential equations and multi-dimensional calculus. Topics include power series solutions of differential equations, line and surface integrals, Fourier series, vector integral calculus, special functions, and an introduction to partial differential equations.

MATH 343    Applied Numerical Methods I    Three Credit Hours
     Prerequisites: MATH 240 or MATH 234 and a knowledge of a programming language
     An introduction to numerical methods. Topics include floating-point computation, finding zeros of functions, direct methods for solving systems of linear equations, interpolation, and numerical differentiation and integration.

MATH 344    Applied Numerical Methods II    Three Credit Hours
     Prerequisite: MATH 343 and MATH 234
     A further study of numerical methods. Topics include approximation, numerical solutions of ordinary differential equations, iterative methods for solving systems of linear equations, eigenvalue problems, and error analysis.

MATH 381    Deterministic Methods of Operations Research    Three Credit Hours
     Prerequisites: Two semesters of calculus and one of MATH 240 or MATH 234
     The theory and applications of deterministic models of operations research. Topics include linear programming and the simplex algorithm, transportation and assignment problems, game theory, graphs and network flows, dynamic programming, and sensitivity analysis.

MATH 382    Probabilistic Methods of Operations Research    Three Credit Hours
     Prerequisites: Two semesters of calculus and one semester of statistics
     The theory and applications of probabilistic models of operations research. Topics include queuing models, birth and death processes, finite-state markov chains, inventory theory, forecasting, simulation, decision analysis, and reliability.

MATH 403    Introduction to Analysis I and
MATH 404    Introduction to Analysis II    Three Credit Hours Each Semester
     Prerequisites: For MATH 403: MATH 231. For MATH 404: MATH 403.
     MATH 403 is required for the B.S. degree in mathematics.
     Sets, functions, properties of the ordered field of real numbers, topology of the reals, sequences and series, continuity, differentiation, integration, and sequences and series of functions.

MATH 405    Mathematical Statistics    Three Credit Hours
     Prerequisites: MATH 132 and STAT 361
     Axioms of probability, combinatorial probability, random variables, distribution functions, law of large numbers, central limit theorem, estimation, maximum likelihood methods, hypothesis testing, confidence intervals, and non-parametric methods.

MATH 411    Number Theory    Three Credit Hours
     Prerequisite: MATH 132 or MATH 107 or HONR 132
     The Euclidean algorithm, prime and composite integers, elementary Diophantine equations, Pythagorean triples, Euler's phi-functions, congruences, Euler-Fermat theorems, exponents and primitive roots, and quadratic residues.

MATH 412    History of Mathematics    Three Credit Hours
     Prerequisite: MATH 132 or MATH 107 or HONR 132
     A survey of the concepts and methods of mathematics from the time of the ancients to the present. The course includes a research paper on some major mathematician or body of mathematics.

MATH 422    Complex Variables    Three Credit Hours
     Prerequisite: MATH 231
     Topics from complex function theory: complex differentiation and integration, Cauchy theorem, complex series and uniform convergence, harmonic functions.

MATH 451    Graph Theory    Three Credit Hours
     Prerequisite: MATH 206
     A formal introduction to the theory and applications of graphs. Topics include connectivity, trees, Eulerian graphs, Hamiltonian graphs, planarity, graph colorings, matchings, and domination.

MATH 470    Mathematical Models and Applications    Three Credit Hours
     Prerequisite: MATH 234
     Required for B. A. degree in mathematics.
     An introduction to the theory and practice of building and analyzing mathematical models for real world situations encountered in the social, biological, and environmental sciences.

MATH 480    Readings in Mathematics    Three Credit Hours
     Prerequisite: Permission of the instructor
     Directed reading on assigned topics in mathematics. The course includes weekly conferences with the instructor and a formal paper. Since the content of the course may change, a student may repeat the course for credit with the consent of the department head.

MATH 490    Topics in Mathematics    Three Credit Hours
     Prerequisite: Permission of the instructor
     Selected topics in mathematics. The offering of this course will depend upon the interest of the students, the availability of an instructor, and approval of the department head. Since the content of the course may change, a student may repeat the course for credit with the consent of the department head.

MATH 495    Senior Seminar in Mathematics    Three Credit Hours
     Required of all mathematics majors, and open only to seniors.
     This is a "capstone" course that will cover various topics from the undergraduate mathematics curriculum. Each student will have a substantial term project, and will write a paper and make an oral presentation to departmental faculty about that topic.

MATH 499    Senior Research Project    Three Credit Hours
     Prerequisite: Senior standing and approval of department head
     Open to senior mathematics majors with a MATH GPA of at least 2.500.
     A research project with a required formal paper. Recommended for students planning graduate work. Approval for enrollment based on the acceptance of a written proposal by the instructor and approval of the department head.