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.

For students needing further background in mathematics before enrolling in calculus (especially MTH 121). Thorough study of algebraic, transcendental, and trigonometric functions; emphasis on graphing and use of algebra.

A survey of the most common mathematical techniques used in business. Topics include: linear functions, non-linear functions (polynomials, exponentials, logarithms), systems of linear equations, linear programming, sets and probability, introduction to basic statistics.

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.

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 problem-solving. Historical motivations will be provided within each topic. 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.

Introduction to properties of formal axiom systems. Study of Euclidean and non-Euclidean geometries, including historical motivations. Topics will be explored using appropriate dynamic software.

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.

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

Fourier series and applications to solutions of partial differential equations. Separation of variables, eigenfunction expansions, Bessel functions, Green's functions, Fourier and Laplace transforms. Credit will be given for only one of MTH 414, MTH 514.

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.

Fourier series and applications to solutions of partial differential equations. Separation of variables, eigenfunction expansions, Bessel functions, Green's functions, Fourier and Laplace transforms.