Course Descriptions for Mathematics

MTH 111	Mathematical Analysis I	3 credits
Prerequisite: MTH 101 or equivalent . Equations and inequalities ; graphs and functions; polynomials and rational functions ; exponential and logarithmic ; systems of equations and inequalities; matrices and determinants, conic sections.

MTH 112	Mathematical Analysis II	3 credits
Prerequisite: MTH 111 or equivalent Pre-calculus topics; derivatives and integrals; applications; techniques of integration.

MTH 140	Elementary Functions	3 credits
Prerequisite: MTH 101 or equivalent Study of functions, including polynomials; rational, algebraic, exponential, logarithmic and trigonometric functions. Computer laboratory included.

MTH 141	Analytic Geometry and Calculus II	3 credits
Prerequisite: MTH 140 or equivalent Functions; limits and continuity; derivatives and integrals of polynomial, rational and trigonometric functions. Computer laboratory included.

MTH 142	Analytic Geometry and Calculus II	3 credits
Prerequisite: MTH 141 or equivalent Topics in analytic geometry, differentiation and integration of exponential, logarithmic and inverse trigonometric functions ; sequences and series. Computer laboratory included.

MTH 241	Analytic Geometry and Calculus III	4 credits
Prerequisite: MTH 142 or equivalent Plane curves ; polar coordinates; vectors in two and three dimensions; analytic geometry in the three dimensions; vector valued functions ; partial derivatives and multiple integrals.

MTH 276	Discrete Structures	3 credits
Prerequisite: MTH 141. Sets; functions and proof techniques; logic and logic circuits; relations; combinatorics; some graph theory; application to Computer Science.

MTH 372	Differential Equations with Linear Algebra	4 credits
Prerequisite: MTH 142. Linear dependence ; linear differential equations and applications; systems of linear differential equations; series solutions

MTH 402	Linear Algebra with Applications	3 credits
Prerequisite: MTH 142, or permission of instructor. Vector spaces; matrices; systems of linear equations; determinants; inner products; linear transformations; similar matrices; eigenvalues and eigenvectors of a matrix.

MTH 405	Introduction to Modern Algebra I	3 credits
Prerequisite: MTH 276, 402, or 410, or permission of instructor. Sets and mappings; an axiomatic approach to the number system ; groups; rings; ideals; fields; isomorphism theorems; induction; permutations.

MTH 406	Introduction to Modern Algebra II	3 credits
Prerequisite: MTH 405. Euclidean domains; polynomial rings; field extension; finite fields; finite groups ; p-groups; the Sylow theorems; introduction to Galois theory.

MTH 415	Theory of Numbers	3 credits
Prerequisite: MTH 142 or permission of instructor. Divisibility ; congruences; quadratic reciprocity; number theoretic functions; Diophantine equations; prime number theorems; recent developments in number theory.

MTH 427	Applied Probability and Statistics	3 credits
Prerequisite: MTH 241. Introductory probability theory; elements of sampling and descriptive statistics, sampling distributions; estimations and hypothesis testing; regression and correlation analysis; computer laboratory using a statistical software package.

MTH 451	Techniques of Advanced Calculus	3 credits
Prerequisite: MTH 241 and 372. Real vector spaces; Laplace transforms; Fourier series; boundary value theorems; series solution and singular points; Bessel Functions; Legendre polynomials.

MTH 477	Concepts of Modern Elementary School Mathematics I	3 credits
Prerequisite: MTH 101 or equivalent. Credit applies only in undergraduate or graduate programs in mathematics education. Sets, logic, mathematical systems, systems of numeration, natural numbers, whole numbers, integers, rational numbers, real numbers.

MTH 478	Concepts of Modern Elementary School Mathematics II	3 credits
Prerequisite: MTH 477. Credit applies only in undergraduate or graduate programs in mathematics education. Foundations of algebra, metric and non-metric geometry, probability and statistics.

MTH 480	Analysis for Teachers	3 credits
Prerequisite: MTH 101 or equivalent. Credit applies only in undergraduate or graduate programs in mathematics education. Real number system, polynomials, rational expressions, powers and radicals , relations, functions, with emphasis on linear, quadratic, exponential, logarithmic, and trigonometric functions. Computer laboratory included.

MTH 481	Modern Algebra for Teachers	3 credits
Prerequisite: MTH 480. Credit only applies in mathematics education. Structure of mathematical system, groups, fields, ordered fields including important models (namely the real number system).

MTH 482	Linear Algebra for Teachers	3 credits
Prerequisite: MTH 480. Credit only applies in mathematics education. Matrices, vectors, mathematical systems, determinants, inverse of a matrix system of linear equations, matrix solutions, linear inequalities , linear programming.

MTH 483	Fundamental Concepts of Geometry	3 credits
Prerequisite: Permission of Instructor. Credit only applies in mathematics education. Intuitive geometry; axiomatic geometry including treatment of lines, planes, congruence, measures, parallelism and similarity; non-Euclidean geometries.

MTH 484	History of Mathematics	3 credits
Prerequisite: MTH 101 or equivalent. Credit only applies in mathematics education. A historical development of mathematics from primitive origins to the Twentieth Century concentrating on numeration systems, arithmetic methods . Euclidean and non-Euclidean geometries, number theory, theory of equations, and the origins or Calculus.

MTH 485	Statistics for Teachers	3 credits
Prerequisite: MTH 101 or equivalent. Credit only applied in mathematics education. Organization and presentation of data , frequency distributions, measures of centrality and dispersion, percentiles and standard scores, sampling theory and distributions, tests of hypotheses and confidence intervals, correlation.

MTH 486	Higher Arithmetic for Teachers	3 credits
Prerequisite: MTH 101 or equivalent. Credit only applies in mathematics education. Divisibility, prime numbers, congruences, quadratic reciprocity law .

CSC 171	Intro to Computer Science	3 credits
Co-requisite: MTH 141 or permission of instructor. Overview of Computer Organization, Algorithm Design, Introduction to Programming in C++, Input/Output Statements, Arithmetic Expressions, Assignment Statements, Logical Expressions, Conditional Statements, Control Statements, Functions and Function Calls, Math Library, I/O Library, Character Library, Introduction to Arrays and pointers, Program Testing and Debugging.