## Courses

** = Online classes - offered 100% online*

*(H) = Hybrid class - 51% online/ 49% face-to-face. These classes may require students to come to the Denton campus for some scheduled meetings.*

#### MATH 3003. A Survey of Geometry.

Historical origins and elements of modern geometry. A preview of elementary transformations and dissection theory, projective geometry and Euclidean and non-Euclidean geometry. Prerequisite: MATH 2014. Three lecture hours a week. Credit: Three hours.

#### MATH 3013. Discrete Mathematics.

Sets, functions, Boolean algebra, logic, number theory and representations, graph theory, algorithms, and computability. Prerequisite: MATH 2014 or permission of instructor. Three lecture hours a week. Credit: Three hours.

#### MATH 3043. Symbolic Logic.

Truth tables, symbolization of statements and relations; formal deductive proofs of validity; rules of conditional and indirect proofs; deductive systems. Prerequisite: MATH 2014 or permission of instructor. Three lecture hours a week. Credit: Three hours.

#### MATH 3053. Abstract Algebra.

Introduction to sets, relations, mappings, rings, integral domains, fields, groups. Prerequisite: MATH 2014 or permission of the instructor. Three lecture hours a week. Credit: Three hours.

#### MATH 3063. Linear Algebra.

Linear equations and matrices; vector spaces; linear mappings; determinants. Prerequisite: MATH 2014 or permission of the instructor. Three lecture hours a week. Credit: Three hours.

#### MATH 3073. Matrix Methods.

Matrix operations, determinants, inverse of a matrix, solution of linear systems, eigenvalues and eigenvectors, matrix calculus. Prerequisite: MATH 2014 or permission of the instructor. Three lecture hours a week. Credit: Three hours.

#### MATH 3083. Elementary Number Theory.

Diophantine equations; con-gruences; divisibility properties of integers; prime numbers and factorization theorems; multiplicative functions. Prerequisite: MATH 2014 or permission of the instructor. Three lecture hours a week. Credit: Three hours.

#### MATH 3104. Intermediate Calculus.

Solid analytic geometry; vectors in space; functions of several variables; partial derivatives; multiple integrals; applications. Prerequisite: MATH 2024. Four lecture hours a week. Credit: Four hours.

#### MATH 3123. Differential Equations.

Solutions of differential equations of the first order and applications; linear differential equations with applications; solution by power series and numerical methods; systems of differential equations; introduction to partial differential equations. Prerequisite: MATH 2024. Three lecture hours a week. Credit: Three hours.

#### MATH 4003. Mathematical Concepts in the Educational Setting.

Problem Solving, reasoning, sets, geometry, algebra, trigonometry, matrices, statistics and probability, sequences and series, graph theory, integration, differentiation, vectors. Three lecture hours a week. Credit: Three hours.

#### MATH 4013. Probability and Statistics.

The theory of discrete and continuous random variables and their distributions. Topics include expected values, binomial and normal distributions, the central limit theorem, confidence intervals, and hypothesis testing. Prerequisite: Math 2014. Three lecture hours a week. Credit: Three hours.

#### MATH 4103. Problem Solving in the Elementary Grades.

For students desiring professional development in strategies for teaching problem solving techniques in the elementary classroom. Topics include number concepts, operations, computation, patterns, relations, functions, geometry, measurement, probability, and statistics. Children’s literature, manipulatives, and relevant technology are incorporated. Three lecture hours a week. Credit: Three hours.

#### MATH 4203. Problem Solving in the Secondary Grades.

Strategies of problem solving; methods for teaching and applying different strategies; assessment of problem solving skills. Three lecture hours a week. Credit: Three hours.

#### MATH 4303. Algebra in the Mathematics Classroom.

Patterns, relationships, ordered pairs, prime and composite numbers, orders of operations, exponents, number sentences, ratios, proportions, percents, modeling, formulas, equations, graphs, functions, systems of equations. Three lecture hours a week. Credit: Three hours.

#### MATH 4311. Seminar in Mathematics.

Capstone course. Compilation of a professional portfolio, completion of a multifaceted project on a current issue in or application of mathematics, development of skills in defining problems and opportunities, and generation of strategies and solutions for those problems. Requires a written component, an oral presentation of project and an exit exam. Prerequisite: 24 hours of course work in mathematics or permission of the instuctor. One seminar hour a week. Credit: One hour.

#### MATH 4313. Geometry in the Mathematics Classroom.

Topics in geometry with an emphasis in problem solving, shapes, angles, polygons, circles, Pythagorean Theorem, symmetry, transformations, measurement area, and volume with an emphasis on technology. Three lecture hours a week. Credit: Three hours.

#### MATH 4903. Selected Topics.

Variable content in mathematics. Three lecture hours a week. Credit: Three hours.

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