Mathematics (MA)

MA-900 Stat Tech: Bus/LibArts/Nur/Sci

Statistical methods and decision methods as they are applied to data. Testing of hypotheses, sampling, non-parametric methods, regression, correlations, analysis of variance, time series, and so forth. Computer programming may be used. (Not applicable toward Master of Science in Applied Math degree requirements.)

3 Credits

MA-906 Numerical Methods I

Algorithms from various areas of mathematics will be investigated. The computer will be used extensively as a tool in finding numerical solutions using these algorithms.

3 Credits

MA-908 Analysis I

Topics include elementary topology, continuity, differentiation, integration, infinite series, as well as other topics as time permits.

3 Credits

MA-910 Applied Mathematics II

Topics to be covered are numerical methods, initial value problems, network flows and combinatorics, and optimization.

3 Credits

MA-912 Numerical Methods II

Continuation of MA906.

3 Credits

MA-914 Analysis II

A continuation of analysis I. Topics will include: theorems of Green, Stokes, and Gauss, infinite series. Lebesque integration, and other topics as time allows.

3 Credits

MA-916 Probability

Probability, combinatorial methods, random variables, probability functions, moments, moment generating functions, central limit theorem, sampling.

3 Credits

MA-918 Mathematical Statistics

Decision theory, estimation, hypothesis testing, regression and correlation, analysis of variance.

3 Credits

MA-920 Linear Algebra

Fundamental concepts of systems of linear equations, matrices, vector spaces, linear transformations, determinants, inner products, eigenvalues, and eigenvectors.

3 Credits

MA-925 Number Theory

Includes divisibility, primes, congruence, primitive roots, and quadratic residues.

3 Credits

MA-930 Theory of Interest

Mathematical theory and applications of compound interest; interest discount, present value, force of interest, annuities, amortization schedules, sinking funds, bonds, miscellaneous topics.

3 Credits

MA-945 Modern Geometry

3 Credits

MA-950 Multiple Regression

Applications of techniques of multiple regression to the statistical analysis of problems. Relations, correlations, simple linear regression, multiple regression with two independent variables, general multiple regression.

3 Credits

MA-960 Partial Differential Equations

Classification of partial differential equations; the theory of first-order linear partial differential equations with constant coefficients; existence and uniqueness theorems with mixed boundary value problems.

3 Credits

MA-970 Num Analysis of Diff Equations

Finite difference approximations applied to differential equations including the study of stability and convergence. Relaxation, gradient, and characteristics methods will also be studied.

3 Credits

MA-971 Special Topics in Mathematics

1-6 Credits

MA-975 Abstract Algebra

Elementary properties of groups, rings, integral domains, and fields. Groups through Sylow theory and: 1) field theory through Galois theory, 2) ring theory through primary decomposition, or 3) linear algebra through Jordan canonical forms.

3 Credits