Schedule of Classes

Great ideas in mathematics, problem solving, contemporary applications.

For students who need to strengthen their algebra skills: factoring polynomials; solving quadratic and other equations; exponents, logarithms, and graphing.

Probability, descriptive statistics, statistical models, correlation and regression, testing hypotheses, confidence limits, and selected applications.

Differential and integral calculus with emphasis on understanding through graphs. Topics in analytic geometry, limits, derivatives, antiderivatives, definite integrals, exponential and logarithmic functions, and partial derivatives.

Topics in analytic geometry, limits, continuity, derivative, and pertinent algebra review.

Introduction to graph theory, Boolean algebra, mathematical induction, and elementary combinatorics.

Topics in analytic geometry; limits; continuity; differentiation; introduction to integration; applications.

Topics in calculus of logarithmic, exponential, and trigonometric functions; techniques of integration; analytic geometry; indeterminate forms; improper integrals; infinite series.

Matrix algebra, determinants, theory of simultaneous equations, vector spaces, bases, Gram-Schmidt orthogonalization, eigenvalues, eigenvectors, transformations, and applications.

Topics in vectors; calculus of functions of several variables; multiple integrals; vector calculus.

Solution of second order equations with constant coefficients; Laplace transforms; power series methods; numerical methods; modeling; applications.

Topics of special interest which may vary each time course is offered, rotating among geometry, algebra/number theory, and history of mathematics. For middle school teacher certification; does not count toward a math major or math minor. May be repeated under different topics for a maximum of 9 hours credit.

Modern geometry; methods similar to those used in plane geometry.

Probability and statistical concepts, theory, and applications: random variables, sampling, central limit theorem, theories of estimation and the testing of hypotheses, linear models, and nonparametric methods.

Topics may vary each time course is offered, rotating among compound interest, mathematics of life contingencies, and actuarial mathematics. Some topics will coincide with those on actuarial exams. May be repeated under different topics for a maximum of 9 hours credit.

Existence and uniqueness theorems; solution methods for initial and boundary value problems; linear and nonlinear systems; stability theory; difference equations.

Basic theory of sets, integers, and mappings; elementary properties of groups, rings, and fields.

Real number system and functions of real variables: sequences, limits, continuity, differentiation, series, uniform convergence, and the Riemann-Stieltjes integral.

Conditional probability and expectation, probability models, Markov chains, Poisson process, renewal theory, Brownian motion processes.

Topics in mathematics selected, studied, and discussed by students under faculty guidance. Each student explores an area of mathematics and selects a topic in which he or she has a particular interest.

A selected topic in mathematics is studied by a student under faculty guidance. Each student writes a paper and gives a presentation on his or her topic.