## MATH Course Descriptions

MATH 117 / MA 117C –
TRIGONOMETRY. (3 semester hours) GEN
ED D-II | QR

Prerequisites: Four years of high school mathematics including Algebra I and II and geometry, and satisfactory score on Math Placement Exam; or MATH 116 with a grade of C or better.

Unit circle; trigonometric functions and graphs; trigonometric identities and equations; right triangle trigonometry; laws of sines and cosines; DeMoivre’s Theorem; vectors and applications of trigonometry. (Graphing calculator required.)

MATH 136 – CALCULUS I. (4 semester hours) GEN ED D-II | QR

Prerequisites: Four years of high school mathematics, including Algebra II, geometry, and trigonometry, and satisfactory score on Math Placement Exam and Math Placement Trig Exam; or MATH 117 or MATH 118, with grade of C or better.

A course in one-variable calculus including topics from analytic geometry. Limits, derivatives, integration, and applications of polynomial, rational, trigonometric, and transcendental functions. Includes lecture and recitation.

MATH 137 – CALCULUS II. (4 semester hours)

Prerequisites: MATH 136 with a grade of C or better.

A second course in one-variable calculus including topics from analytic geometry. Methods of integration, sequences and series, polar and parametric functions. Includes lecture and recitation.

MATH 183 – INTRODUCTORY STATISTICS. (3 semester hours) GEN ED D-II | QR

Prerequisite: Satisfactory score on Math ACT and MPE, or COMPASS or KYOTE; or DMA 096C with a grade of C or better.

Introduction to elementary probability theory. The analysis of data by means of frequency distributions and the statistics which describe them. The binomial and normal probability distributions. Statistical inference. Emphasis is on applied real world problems. Not accepted for credit toward a 728/528 mathematics major or the 417 math minor.

STAT 301 – INTRODUCTORY PROBABILITY AND APPLIED STATISTICS. (3 semester hours)

Prerequisite: MATH 136 or MATH 142, with a grade of C or better.

A calculus-based introduction to applied statistics, with emphasis on analysis of real data. Curve fitting, probability models, estimation and testing for means and proportions, quality control; use of computers for data analysis and simulation.

MATH 205 – NUMBER SYSTEMS AND NUMBER THEORY FOR TEACHERS. (3 semester hours)

Prerequisites: Completion of a general education math course with a grade of C or better; for students in early grades (K-5), middle grades (5-9) or SPED teacher certification programs only.

Development of conceptual understanding of elementary place value, operations on whole numbers and integers, number theory, basic algebra, and functions.

MATH 206 – FUNDAMENTALS OF GEOMETRY FOR TEACHERS. (3 semester hours)

Prerequisites: Completion of a general education math course and MATH 205 with grades of C or better; for students in the early grades (K-5), middle grades (5-9) or SPED teacher certification programs only.

Conceptual development of fundamental concepts of geometry and measurement.

MATH 304 – FUNCTIONS, APPLICATIONS AND EXPLORATIONS. (3 semester hours)

Prerequisite: MATH 136 with a grade of C or better, or permission of instructor.

In-depth study of mathematical topics that are used in teaching pre-calculus and transition-to-calculus courses at the middle and secondary school level. Modeling with linear, exponential, and trigonometric functions; curve fitting; discrete and continuous models.

MATH 308 – RATIONAL NUMBERS AND DATA ANALYSIS FOR TEACHERS. (3 semester hours)

Prerequisites: Completion of MATH 206 with a grade of C or better; for students in the early grades (K-5), middle grades (5-9) or SPED teacher certification programs only.

Conceptual development of rational number system, including operations with and relationships among fractions, decimals, and percents; elementary probability and statistics.

MATH 323 – GEOMETRY I. (3 semester hours)

Prerequisite: MATH 307 with a grade of C or better.

Beginning with a re-examination of elementary Euclidean geometry, the course includes a study of absolute plane geometry and the parallel postulate, which leads to an axiomatic treatment of hyperbolic geometry and related topics.

MATH 403 – GEOMETRY FOR ELEMENTARY AND MIDDLE SCHOOL TEACHERS. (3 semester hours)

Prerequisites: MATH 206 with a grade of C or better, or MATH 212 with a grade of C or better. (For students in the early grades (K-4) teacher certification program or students pursuing middle grades (5-8) certification with a mathematics emphasis.)

Both formal and informal methods are used to explain the basic concepts of Euclidean geometry. Emphasis is given to the investigative approach, organizational skills, and problem solving.

MATH 411 – PROBLEM SOLVING FOR ELEMENTARY AND MIDDLE SCHOOL TEACHERS. (3 semester hours)

Prerequisites: MATH 308 with a grade of C or better, or permission of instructor.

Integrates concepts developed in algebra, geometry, logic, statistics, probability, and elementary number theory. Students are encouraged to use problem-solving strategies, models, and technologies, and to create problems of their own.

MATH 413 – ALGEBRA AND TECHNOLOGY FOR MIDDLE GRADES TEACHERS. (3 semester hours)

Prerequisite: MATH 117 or 136, with a grade of C or better.

The use of graphing calculators and computer software to explore algebraic ideas including patterns, functions, equations, inequalities, linear programming, curve fitting, and practical applications of algebra and technology.

MATH 421 – PROBLEM SOLVING FOR SECONDARY TEACHERS. (3 semester hours)

Prerequisites: MATH 307 and 310 both with grades of C or better; or MATH 382 and 323 both with grades of C or better, or permission of instructor.

Utilizes various techniques and technology to solve mathematical problems. Integrates concepts from algebra, geometry, trigonometry, probability, statistics, number theory, discrete mathematics, linear algebra, and calculus.

MATH 490 – SEMINAR IN MIDDLE GRADES MATHEMATICS. (1 semester hour)

Prerequisite/Corequisite: MATH 411.

Hands-on activities emphasize connections among various areas of mathematics; communicating mathematics effectively and applications of middle school mathematics. Papers and oral presentations are required.

Prerequisites: Four years of high school mathematics including Algebra I and II and geometry, and satisfactory score on Math Placement Exam; or MATH 116 with a grade of C or better.

Unit circle; trigonometric functions and graphs; trigonometric identities and equations; right triangle trigonometry; laws of sines and cosines; DeMoivre’s Theorem; vectors and applications of trigonometry. (Graphing calculator required.)

MATH 136 – CALCULUS I. (4 semester hours) GEN ED D-II | QR

Prerequisites: Four years of high school mathematics, including Algebra II, geometry, and trigonometry, and satisfactory score on Math Placement Exam and Math Placement Trig Exam; or MATH 117 or MATH 118, with grade of C or better.

A course in one-variable calculus including topics from analytic geometry. Limits, derivatives, integration, and applications of polynomial, rational, trigonometric, and transcendental functions. Includes lecture and recitation.

MATH 137 – CALCULUS II. (4 semester hours)

Prerequisites: MATH 136 with a grade of C or better.

A second course in one-variable calculus including topics from analytic geometry. Methods of integration, sequences and series, polar and parametric functions. Includes lecture and recitation.

MATH 183 – INTRODUCTORY STATISTICS. (3 semester hours) GEN ED D-II | QR

Prerequisite: Satisfactory score on Math ACT and MPE, or COMPASS or KYOTE; or DMA 096C with a grade of C or better.

Introduction to elementary probability theory. The analysis of data by means of frequency distributions and the statistics which describe them. The binomial and normal probability distributions. Statistical inference. Emphasis is on applied real world problems. Not accepted for credit toward a 728/528 mathematics major or the 417 math minor.

STAT 301 – INTRODUCTORY PROBABILITY AND APPLIED STATISTICS. (3 semester hours)

Prerequisite: MATH 136 or MATH 142, with a grade of C or better.

A calculus-based introduction to applied statistics, with emphasis on analysis of real data. Curve fitting, probability models, estimation and testing for means and proportions, quality control; use of computers for data analysis and simulation.

MATH 205 – NUMBER SYSTEMS AND NUMBER THEORY FOR TEACHERS. (3 semester hours)

Prerequisites: Completion of a general education math course with a grade of C or better; for students in early grades (K-5), middle grades (5-9) or SPED teacher certification programs only.

Development of conceptual understanding of elementary place value, operations on whole numbers and integers, number theory, basic algebra, and functions.

MATH 206 – FUNDAMENTALS OF GEOMETRY FOR TEACHERS. (3 semester hours)

Prerequisites: Completion of a general education math course and MATH 205 with grades of C or better; for students in the early grades (K-5), middle grades (5-9) or SPED teacher certification programs only.

Conceptual development of fundamental concepts of geometry and measurement.

MATH 304 – FUNCTIONS, APPLICATIONS AND EXPLORATIONS. (3 semester hours)

Prerequisite: MATH 136 with a grade of C or better, or permission of instructor.

In-depth study of mathematical topics that are used in teaching pre-calculus and transition-to-calculus courses at the middle and secondary school level. Modeling with linear, exponential, and trigonometric functions; curve fitting; discrete and continuous models.

MATH 308 – RATIONAL NUMBERS AND DATA ANALYSIS FOR TEACHERS. (3 semester hours)

Prerequisites: Completion of MATH 206 with a grade of C or better; for students in the early grades (K-5), middle grades (5-9) or SPED teacher certification programs only.

Conceptual development of rational number system, including operations with and relationships among fractions, decimals, and percents; elementary probability and statistics.

MATH 323 – GEOMETRY I. (3 semester hours)

Prerequisite: MATH 307 with a grade of C or better.

Beginning with a re-examination of elementary Euclidean geometry, the course includes a study of absolute plane geometry and the parallel postulate, which leads to an axiomatic treatment of hyperbolic geometry and related topics.

MATH 403 – GEOMETRY FOR ELEMENTARY AND MIDDLE SCHOOL TEACHERS. (3 semester hours)

Prerequisites: MATH 206 with a grade of C or better, or MATH 212 with a grade of C or better. (For students in the early grades (K-4) teacher certification program or students pursuing middle grades (5-8) certification with a mathematics emphasis.)

Both formal and informal methods are used to explain the basic concepts of Euclidean geometry. Emphasis is given to the investigative approach, organizational skills, and problem solving.

MATH 411 – PROBLEM SOLVING FOR ELEMENTARY AND MIDDLE SCHOOL TEACHERS. (3 semester hours)

Prerequisites: MATH 308 with a grade of C or better, or permission of instructor.

Integrates concepts developed in algebra, geometry, logic, statistics, probability, and elementary number theory. Students are encouraged to use problem-solving strategies, models, and technologies, and to create problems of their own.

MATH 413 – ALGEBRA AND TECHNOLOGY FOR MIDDLE GRADES TEACHERS. (3 semester hours)

Prerequisite: MATH 117 or 136, with a grade of C or better.

The use of graphing calculators and computer software to explore algebraic ideas including patterns, functions, equations, inequalities, linear programming, curve fitting, and practical applications of algebra and technology.

MATH 421 – PROBLEM SOLVING FOR SECONDARY TEACHERS. (3 semester hours)

Prerequisites: MATH 307 and 310 both with grades of C or better; or MATH 382 and 323 both with grades of C or better, or permission of instructor.

Utilizes various techniques and technology to solve mathematical problems. Integrates concepts from algebra, geometry, trigonometry, probability, statistics, number theory, discrete mathematics, linear algebra, and calculus.

MATH 490 – SEMINAR IN MIDDLE GRADES MATHEMATICS. (1 semester hour)

Prerequisite/Corequisite: MATH 411.

Hands-on activities emphasize connections among various areas of mathematics; communicating mathematics effectively and applications of middle school mathematics. Papers and oral presentations are required.

Dr.
David K. Neal, Lead Academic
Advisor

Department of Mathematics

COHH 4108

Western Kentucky University

Bowling Green, KY 42101

270.745.6213

Department of Mathematics

COHH 4108

Western Kentucky University

Bowling Green, KY 42101

270.745.6213

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