Courses-MAT

Mathematics Courses

MAT-1000 Fundamentals of Mathematics - 3 hours
Real numbers, algebraic expressions, equations and inequalities, graphs, functions, systems of equations, exponents, polynomials, rational expressions, rational exponents, radicals, quadratic formula. Emphasis on number sense and problem solving. Not to be taken to satisfy general education, major, minor, or specialty area requirements.

MAT-1411 Mathematical Concepts I - 3 hours
Basic mathematical concepts such as sets, numeration, number systems, number theory, measurement, geometry, and problem solving. Laboratory required. May not be used to meet requirements for a mathematics specialization, major, or minor. Prerequisite: MAT-1000.

MAT-1412 Mathematical Concepts II - 3 hours
Intermediate algebra, the real number system, coordinate geometry, probability, and statistics. Laboratory required. May not be used to meet requirements for a mathematics specialization, major or minor. Prerequisite: MAT-1000.

MAT-1550 Finite Mathematics - 3 hours
Review of basic algebra, introduction to matrices, counting principles, elementary probability and statistics. Application of these skills to problem solving. May not be taken by students with credit in MAT-1412. Prerequisite: MAT-1000.

MAT-1810 College Algebra and Trigonometry - 3 hours
Real and complex numbers, the elementary functions; polynomial, rational, exponential, logarithmic, and trigonometric functions. Prerequisite: 2 years of high school algebra or MAT-1550.

MAT-1820 Pre-Calculus - 3 hours
Topics in trigonometry, systems of equations and inequalities, analytic geometry, sequences and series, introduction to calculus. Prerequisite: MAT-1810.

MAT-2000 Statistics - 3 hours
Introduction to basic statistical concepts including frequency distributions, central tendency, variations, normal curve, correlations and regression with application to statistical inference. Prerequisite: MAT-1810.

MAT-2100 Discrete Mathematics - 3 hours
An introduction to the analysis of discrete collections: sets, counting, recursion, graph theory, Boolean algebra, automata, formal grammars and languages. Prerequisite:MAT-1810. Cross-listed with CIS-2100.

MAT-2200 History of Mathematics - 3 hours
Major trends in mathematics from earliest times to the seventeenth century. Outstanding contributors. Prerequisite: MAT-1810.

MAT-2300 Problem Solving in Mathematics - 3 hours
Problem solving techniques with application to natural phenomena, games and puzzles. Principles of problem solving and analysis of tactics. Prerequisite: MAT-1810.

MAT-2500 Calculus I - 4 hours
An introduction to single variable calculus: limits and continuity; differentiation; derivatives of polynomial, rational, trigonometric, logarithmic, and exponential functions; the chain rule; implicit differentiation; approximation; higher order derivatives; Rolle's Theorem; mean value theorem; the anti-derivative; and applications. Prerequisite: MAT-1820. IAI: M1 900-1.

MAT-2600 Calculus II - 4 hours
Continuation of single variable calculus: the definite integral; the fundamental theorem of calculus; area and volume; integrals of trigonometric, logarithmic and exponential functions; integration methods; L'Hospital's rule; improper integrals; sequences and series; convergence tests; Taylor series; polar coordinates; and applications. Prerequisite: MAT-2500. IAI: M1 900-2.

MAT-3100 Calculus III - 4 hours
An introduction to multivariable calculus: functions of more than one variable, partial derivatives, the differential, vector calculus, directional derivatives, gradients, multiple integrals, and applications. Prerequisite: MAT-2600. IAI: M1 900-3.

MAT-3200 Differential Equations - 3 hours
Differential equations of the first and second order, linear equations, variation of parameters, undetermined coefficients, linear independence, the Wronskian, exact equations, separation of variables, solution by Laplace transforms and by power series, numerical methods, and applications. Prerequisite: MAT-2600.

MAT-3500 Introduction to Mathematical Proof - 3 hours
An introduction to structured proofs using methods from elementary mathematical logic with the goal of applying these techniques to writing paragraph-style proofs in beginning set theory. Prerequisite: MAT-2100 or MAT-2500.

MAT-3700 College Geometry - 3 hours
An introduction to the development of Euclidean and non-Euclidean geometries and their axiomatizations. Prerequisite: MAT-1820.

MAT-4210 Linear Algebra - 3 hours
An introduction to vectors, matrices, matrix operations, inverse of a matrix, systems of linear equations, determinant, rank, linear independence and dependence, vector spaces and subspaces, basis and dimension, inner products, linear transformations, range and kernel, eigenvalues and eigenvectors. Prerequisite: MAT-2600.

MAT-4610 Group Theory - 3 hours
An introduction to the fundamental topics of group theory: groups, subgroups, homomorphisms, and isomorphisms. Prerequisite: MAT-3500.

MAT-4620 Ring Theory - 3 hours
An introduction to the fundamental concepts of the integers and rings in general: divisibility, primes, congruence, rings, subrings, ideals, homomorphisms, and isomorphisms. Prerequisite: MAT-3500.

MAT-4700 Theory of Probability - 3 hours
Topics from discrete and continuous probability; random variables, functions of random variables, discrete and continuous probability distributions, limit theorem, and applications. Prerequisite: MAT-2600 and MAT-3500.

MAT-4810 Real Analysis - 3 hours
Introduction to the basic concepts of classical analysis: sets, sequences, limits of functions, continuity, differentiation, Riemann integration, and infinite series. Prerequisite: MAT-3100 and MAT-3500.

MAT-4820 Complex Analysis - 3 hours
Algebra, geometry, and calculus with complex numbers. Transformations of the complex plane, analytical functions, Cauchy theory of integration, power series, and residue theory. Prerequisite: MAT-3100 and MAT-3500.

MAT-4950 Independent Study in Mathematics - 1-6 hours