General Education Requirements

**Related Programs**

### Course Descriptions

**MATH 110. Freshman Seminar**

This seminar course introduces the freshman mathematics student to the curriculum, facilities, faculty, and other students in the mathematics program. Credit, 1 hour. Offered fall semesters.

**MATH 130. Concepts of Mathematics for the Elementary and Middle School Teacher I**

This course is required of all P-5 elementary education majors, all 7-12 special education majors, and in the mathematics emphasis and specialization for P-5 and middle grades, respectively. The mathematical topics discussed in the course are chosen to reflect the National Council of Teachers of Mathematics Curriculum and Evaluation Standards for School Mathematics and Kentucky’s Learning Goals and Valued Outcomes. It is a study of our numeration system and

bases, number theory, and the real number system with the concepts of algebra, logic, sets, estimation, and relations emphasized throughout. Problem solving techniques, manipulative aids, coop-erative learning, writing, and available technology will be utilized as appropriate to help foster a constructive belief about mathematics. Credit: 3 hours. Offered fall semesters and other semesters by demand.

**MATH 131. College Mathematics**

Topics studied in this course include the arithmetic of whole numbers and integers, greatest common divisor, prime numbers, least common multiple, arithmetic of fractions, arithmetic of signed numbers, angles, lines, polygons, circles, ratio, proportion, algebraic expressions, algebra of linear equations, exponents and scientific notation, algebra of polynomials, factoring and special products, algebra of rational expressions, systems of linear equations, square roots, and quadratic equations. Credit, 3 hours. Offered fall and spring semesters and summer term by demand.

**MATH 132. College Algebra**

This is a study of exponents, radicals, polynomials, rational expressions, inequalities, relations and graphs, linear equations, quadratic equations, systems of equations, and complex numbers. Credit, 3 hours. Offered fall and spring semesters and summer term by demand.

**MATH 136. Precalculus**

This course is the study of equations and graphs, polynomial functions, composition of functions, rational functions, trigonometric functions, the solutions of right triangles, oblique triangles, trigonometric functions of multiple angles, and trigonometric identities and equations. Credit, 3 hours. Offered fall and spring semesters.

**MATH 140. Calculus I**

Prerequisite knowledge of trigonometry and proficiency in algebraic operations is required to enter this course. It is the study of analytic geometry, functions, continuity, concept of limit, differentiation of algebraic and trigonometric functions, applications of derivatives, and introduction to the process of integration. Credit, 4 hours. Offered fall and spring semesters.

**MATH 211. Numerical Techniques**

This course focuses on the use of graphing calculators and the numerical techniques in calculus that can be employed using them. This course is strongly recommended for all secondary mathematics education majors. Prerequisite: MATH 140. Credit, 1 hour. This course will be taught during the Spring semester as needed.

**MATH 230. Concepts of Mathematics for the Elementary and Middle School Teacher II**

This course is required of all P-5 elementary education majors, all 7-12 special education majors, and in the mathematics emphasis and specialization for P-5 and middle grades, respectively. The mathematical topics discussed in the course are chosen to reflect the National Council of teachers of Mathematics Curriculum and Evaluation Standards for School Mathematics and Kentucky’s Learning Goals and Valued Outcomes. It is a study of probability, statistics, measurement, and geometry with the concepts of algebra, logic, sets, estimation, and relations emphasized throughout with various problem solving techniques. Manipulative aids, cooperative learning, writing, and available technology will be utilized to help foster a constructive belief about mathematics. Credit, 3 hours. Offered spring semesters and other semesters by demand.

**MATH 240. Calculus II**

This course is a continuation of MATH 140. Topics include transcendental functions, areas, volumes, inverse functions, techniques of integration, conic sections, polar coordinates, indeterminate forms, and improper integrals. Prerequisite: grade of C or better in MATH 140. Credit, 4 hours. Offered fall and spring semesters.

**MATH 241. Calculus III**

This is a continuation of MATH 240. Topics include sequences, series, vectors, the calculus of vector-valued functions, and the calculus of functions of more than one independent variable. Prerequisite: grade of C or better in MATH 240. Credit, 4 hours. Offered fall and spring semesters.

**MATH 330. Geometry for the Elementary and Middle School Teacher**

This course is designed for those elementary and middle school education majors with teaching emphasis in mathematics. It is the study of plane and solid Euclidean geometry as an axiomatic system. (This course does not count toward the mathematics major.) Credit, 3 hours. Offered spring semesters of odd years and other semesters by demand.

**MATH 331. College Geometry**

This course is the study of Euclidean geometry at the college level and the introduction to development of non Euclidean geometries. Topics include: Historical development, sets and propositions, equivalence of logic, axiomatic systems, coordinate systems, and plane hyperbolic geometry. Prerequisite: Proficiency in high school geometry and methods of proof are required to enter this course. Credit, 3 hours. Offered fall semesters.

**MATH 332. P-5 Teaching Math**

This is a course in modern methods of teaching mathematics in grades P-5 with emphasis on applications of KERA to the primary school mathematics classroom. Prerequisites: MATH 130, 230 and ACT of 21+. Credit, 3 hours. Offered fall and spring semesters, and summer by demand.

**MATH 333. Middle School Math Methods**

This is a course in modern methods of teaching mathematics in grades 5-9 with emphasis on applications of KERA to the middle school mathematics classroom. Prerequisites: MATH 130, 230, and ACT of 21+. Credit, 3 hours. Offered fall and spring semesters, and summer by demand.

**MATH 335. Introduction to Probability and Statistics**

The purpose of this course is to acquaint the student with the basic concepts of statistics and probability and how they are used in handling data. Prerequisite: MATH 132. Credit, 3 hours. Offered fall and spring semesters.

**MATH 401. Mathematics History**

This course provides the student with the opportunity to study the development of mathematics from the ancient Babylonians to the present day from a historical point of view. An in-depth study is made of the Greek contribution and of the mathematical revolution of the l7th and l8th centuries. Credit, 3 hours. This restricted elective course will be offered spring semesters. This Integrated Studies course can fulfill a requirement in Section III A of the General Education Curriculum. Credit 3 hours.

**MATH 430. Differential Equations**

First order ordinary differential equations are studied, followed by differential equations of high order. Prerequisite: MATH 241. Credit, 3 hours. Offered spring semesters.

**MATH 431. Abstract Algebra**

Topics covered include structure of the number systems, groups, mappings, rings, fields, sets, and metrics. Prerequisite: MATH 241 or consent of instructor. Credit, 3 hours. Offered fall semesters.

**MATH 432. Linear Algebra**

Topics covered include topics from classical algebra, vector spaces, linear transformations, change of bases, orthogonality, determinants, eigenvalues, and eigenspaces. Prerequisite: MATH 241 or consent of instructor. Credit, 3 hours. Offered spring semesters.

**MATH 433. Discrete Mathematics**

Topics will include symbolic logic, functions, cardinality, proofs, mathematical induction, pigeonhole principle, permutations, combinations, trees, and graphs. Prerequisite: MATH 241 or consent of instructor. Credit, 3 hours. Offered spring semesters.

**MATH 435. Mathematical Statistics**

This is an introduction to discrete and continuous distributions, expected values and moments, special probability distributions and densities. Prerequisite: MATH 241. Credit, 3 hours. Offered on demand.

**MATH 436. Real Analysis I**

This is the study of partial differentiation, application of partial differentiation, line and surface integrals, and Fourier series. Prerequisite: grade of "C" or better in MATH 241. Credit, 3 hours. Offered fall semesters.

**MATH 437. Real Analysis II**

Topics covered are point set theory, sequences, limits, continuity, and uniform continuity. Prerequisite: MATH 436. Credit, 3 hours. Offered spring semesters.

**MATH 490. Topics in Mathematics**

Topics are generally selected from complex variables, number theory, numerical analysis, and problems research in mathematics or mathematics education. Enrollment in this course is open only to mathematics majors and minors. Prerequisite: MATH 241. Credit, 1 to 3 hours each topic. A topics course is offered on demand.

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