Department of Mathematics < Western Kentucky University (2024)

MATH105Corequisite Support for Algebra1 Hour

Corequisite support for students in Math 115C, Math 116C, or Math 123. Topics include functions, graphs and fundamental concepts of algebra.

Prerequisite(s): MA 115C (may be taken concurrently) or MA 116C (may be taken concurrently) or MATH123 (may be taken concurrently) or MATH115E (may be taken concurrently) or MATH116E (may be taken concurrently)

Recent Term(s) Offered: winter 2021; spring 2021; summer 2021; fall 2021; winter 2022; spring 2022; summer 2022; fall 2022; winter 2023; spring 2023; summer 2023; fall 2023

MATH109General Mathematics3 Hours

Terminal course for non-science majors suggested for the student who has satisfactorily completed minimum high school mathematics requirements and needs no further work in algebra. Topics include sets, introduction to probability and statistics, geometry, and consumer mathematics. Colonnade/Statewide General Education Code F-QR | QR

Prerequisite(s): (ACT Math with a score of 19 or SAT Mathematics Score with a score of 510 or HS GPA Transcript with a score of 3.0)

Recent Term(s) Offered: spring 2021; fall 2021; spring 2022; summer 2022; fall 2022; spring 2023; fall 2023

MATH109EGeneral Mathematics3 Hours

Terminal course for non-science majors suggested for the student who has satisfactorily completed minimum high school mathematics requirements and needs no further work in algebra. Topics include sets, introduction to probability and statistics, geometry, and consumer mathematics. Colonnade/Statewide General Education Code F-QR | QR

Recent Term(s) Offered: fall 2023

MATH112Problem Solving and Mathematical Skills for Teachers3 Hours

Development of mathematical skills and problem-solving techniques necessary for pre-service teachers. Topics include: number and algebra, geometry, probability and statistics. Colonnade/Statewide General Education Code F-QR | QR

Recent Term(s) Offered: spring 2021; fall 2021; spring 2022; fall 2022; spring 2023; fall 2023

MATH115Applied College Algebra3 Hours

Intended primarily for students who are not majoring in a scientific or technical field; not intended for students whose curriculum requires trigonometry or calculus. Emphasis is on real-world problems that involve reading, writing, calculating, synthesizing, and clearly reporting results. Topics include linear, quadratic, exponential and logarithmic functions, and systems of equations. (Graphing calculator required). Colonnade/Statewide General Education Code F-QR | QR

Prerequisite(s): (ACT Math with a score of 22 or SAT Mathematics Score with a score of 540 or MPE - Algebra with a score of 14 or KYOTE College Algebra with a score of 14 or Compass - Algebra with a score of 50 or HS GPA Transcript with a score of 3.5)

Recent Term(s) Offered: spring 2021; summer 2021; fall 2021; spring 2022; summer 2022; fall 2022; spring 2023; summer 2023; fall 2023

MATH115EApplied College Algebra3 Hours

Intended primarily for students who are not majoring in a scientific or technical field; not intended for students whose curriculum requires trigonometry or calculus. Emphasis is on real-world problems that involve reading, writing, calculating, synthesizing, and clearly reporting results. Topics include linear, quadratic, exponential and logarithmic functions, and systems of equations. (Graphing calculator required). Colonnade/Statewide General Education Code F-QR | QR

Prerequisite(s): (ACT Math with a score of 20 or SAT Mathematics Score with a score of 540 or MPE - Algebra with a score of 12 or KYOTE College Algebra with a score of 12 or Math 105 PreReq MATH115/116C or HS GPA Transcript with a score of 3.0) or (HS GPA Transcript with a score of 2.0 and MATH105 (may be taken concurrently))

Recent Term(s) Offered: fall 2023

MATH116College Algebra3 Hours

Graphing and problem solving are integrated throughout the study of polynomial, absolute value, rational, radical, exponential, and logarithmic functions. (Graphing calculator required.) Colonnade/Statewide General Education Code F-QR | QR

Prerequisite(s): (MPE - Algebra with a score of 14 or SAT Mathematics Score with a score of 540 or ACT Math with a score of 22 or KYOTE College Algebra with a score of 14 or HS GPA Transcript with a score of 3.5)

Recent Term(s) Offered: spring 2021; summer 2021; fall 2021; spring 2022; summer 2022; fall 2022; spring 2023; summer 2023; fall 2023

MATH116ECollege Algebra3 Hours

Graphing and problem solving are integrated throughout the study of polynomial, absolute value, rational, radical, exponential, and logarithmic functions. (Graphing calculator required.) Colonnade/Statewide General Education Code F-QR | QR

Prerequisite(s): (ACT Math with a score of 20 or SAT Mathematics Score with a score of 540 or MPE - Algebra with a score of 12 or KYOTE College Algebra with a score of 12 or Math 105 PreReq MATH115/116C or HS GPA Transcript with a score of 3.0) or (HS GPA Transcript with a score of 2.0 and MATH105 (may be taken concurrently))

Recent Term(s) Offered: fall 2023

MATH117Trigonometry3 Hours

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.) Note: Four years of high school mathematics including Algebra I and II and geometry may be required. Colonnade/Statewide General Education Code F-QR | QR

Prerequisite(s): ACT Math with a score of 27 or (ACT Math with a score of 22 and MPE - Algebra with a score of 18) or (MATH116 with a minimum grade of C or MATH116E with a minimum grade of C or MA 116C with a minimum grade of C) or SAT Mathematics Score with a score of 610 or (SAT Mathematics Score with a score of 540 and MPE - Algebra with a score of 18)

Recent Term(s) Offered: spring 2021; summer 2021; fall 2021; spring 2022; summer 2022; fall 2022; spring 2023; summer 2023; fall 2023

MATH118College Algebra and Trigonometry5 Hours

Real number system, algebraic manipulations, and solutions of equations and inequalities, absolute value, exponential and logarithmic functions, trigonometry, systems of equations, complex numbers. (Graphing calculator required.) Note: Four years of high school mathematics including Algebra I and II and geometry may be required. Colonnade/Statewide General Education Code QR

Prerequisite(s): (ACT Math with a score of 22 and MPE - Algebra with a score of 18)

Recent Term(s) Offered: None

MATH119Fundamentals of Calculus4 Hours

An introduction to calculus designed for non-science and non-technical majors. Applications are directed toward the management sciences and related areas. Not accepted for credit toward a mathematics major or minor. (Graphing calculator required.) Note: Four years of high school mathematics, including Algebra I and II and geometry, and a satisfactory score on Math Placement exam are required if MATH116 or MATH118 has not been met. Colonnade/Statewide General Education Code QR

Prerequisite(s): (MATH116 with a minimum grade of C or MA 116C with a minimum grade of C or MATH116E with a minimum grade of C or MATH118 with a minimum grade of C)

Recent Term(s) Offered: None

MATH121Computational Problem Solving4 Hours

Students will tackle problems ranging from elementary to advanced, using mathematical methods, algorithmic techniques, and computational methods. This course is taught jointly by mathematics and computer science faculty. Note: Enrollment in Gatton Academy of Mathematics and Science in Kentucky is required.

Corequisite(s): MATH117

Equivalent(s): CS121

Recent Term(s) Offered: None

MATH123Mathematical Applications for Business3 Hours

Business applications of linear, quadratic, exponential and logarithmic functions, plus a brief introduction to probability, the mathematics of finance, and derivatives as they apply to problem-solving strategies in business-related fields. Colonnade/Statewide General Education Code F-QR | QR

Prerequisite(s): (ACT Math with a score of 22 or SAT Mathematics Score with a score of 540 or MPE - Algebra with a score of 14 or KYOTE College Algebra with a score of 14 or HS GPA Transcript with a score of 3.5) or (HS GPA Transcript with a score of 2.0 and MATH105 (may be taken concurrently))

Recent Term(s) Offered: spring 2021; fall 2021; winter 2022; spring 2022; fall 2022; winter 2023; spring 2023; fall 2023

MATH127Applied Geometry3 Hours

Euclidean geometry with historical applications, including tilings, fractals, circular and spiral designs, celestial themes, special topics in linear algebra, and the origins of perspective.

Prerequisite(s): (MATH116 with a minimum grade of C or MATH116E with a minimum grade of C or MA 116C with a minimum grade of C or ACT Math with a score of 22 or MPE - Algebra with a score of 18 or ACT Math with a score of 27)

Recent Term(s) Offered: None

MATH136Calculus I4 Hours

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. Note: Four years of high school mathematics including Algebra II, geometry may be required. Colonnade/Statewide General Education Code F-QR | QR

Prerequisite(s): ((ACT Math with a score of 27 or SAT Mathematics Score with a score of 640) or (ACT Math with a score of 22 and MPE - Algebra with a score of 20) or (SAT Mathematics Score with a score of 540 and MPE - Algebra with a score of 20) and MPTE - Trigonometry with a score of 10 or (MATH117 with a minimum grade of C or MA 117C with a minimum grade of C or MATH118 with a minimum grade of C))

Recent Term(s) Offered: spring 2021; summer 2021; fall 2021; spring 2022; summer 2022; fall 2022; spring 2023; summer 2023; fall 2023

MATH137Calculus II4 Hours

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.

Prerequisite(s): MATH136 with a minimum grade of C

Recent Term(s) Offered: spring 2021; summer 2021; fall 2021; spring 2022; summer 2022; fall 2022; spring 2023; summer 2023; fall 2023

MATH142Calculus with Applications for Life Sciences5 Hours

Exponential and logarithmic functions, derivatives, integration, first order differential equations, and systems of linear equations, with major emphasis on applications in life sciences. Note: Four years of high school mathematics, including Algebra I and II, geometry, and a course that includes trigonometry is required if MATH117 and MATH118 has not be met. Colonnade/Statewide General Education Code F-QR | QR

Prerequisite(s): (ACT Math with a score of 22 and MPE - Algebra with a score of 20 and MPTE - Trigonometry with a score of 10) or (ACT Math with a score of 27 and MPTE - Trigonometry with a score of 10) or (MATH117 (may be taken concurrently) with a minimum grade of C or MA 117C (may be taken concurrently) with a minimum grade of C or MATH118 with a minimum grade of C)

Recent Term(s) Offered: None

MATH183Introductory Statistics3 Hours

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 mathematics major or minor. Colonnade/Statewide General Education Code F-QR | QR

Prerequisite(s): (MPE - Algebra with a score of 14 or SAT Mathematics Score with a score of 540 or ACT Math with a score of 22 or KYOTE College Algebra with a score of 14 or MATH109 with a minimum grade of C or MA 109C with a minimum grade of C or MATH112 with a minimum grade of C or MATH115 with a minimum grade of C or MA 115C with a minimum grade of C or MATH116 with a minimum grade of C or MA 116C with a minimum grade of C or MATH117 with a minimum grade of C or MATH123 with a minimum grade of C or MATH136 with a minimum grade of C or MATH142 with a minimum grade of C or MATH109E with a minimum grade of C or MATH116E with a minimum grade of C or MATH115E with a minimum grade of C or HS GPA Transcript with a score of 3.5)

Recent Term(s) Offered: spring 2021; summer 2021; fall 2021; spring 2022; summer 2022; fall 2022; spring 2023; summer 2023; fall 2023

MATH205Number Systems and Number Theory for Teachers3 Hours

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

Prerequisite(s): MATH112 with a minimum grade of C or MATH115 with a minimum grade of C or MATH115E with a minimum grade of C or MA 115C with a minimum grade of C or MATH116 with a minimum grade of C or MATH116E with a minimum grade of C or MA 116C with a minimum grade of C or MATH117 with a minimum grade of C or MATH123 with a minimum grade of C or MATH136 with a minimum grade of C or MATH183 with a minimum grade of C

Restriction(s): Enrollment is limited to students in Special Ed: LBD and Elm Edu (5003) , Elementary Education (527) , Exceptional Ed - LBD and MSD (553) , Middle Grades Education (579) , Mathematics (728) , Mathematics-Prep (728P) , Middle Grades Mathematics (730) or Middle Grades Mathematics-Prep (730P)

Recent Term(s) Offered: spring 2021; summer 2021; fall 2021; spring 2022; summer 2022; fall 2022; spring 2023; fall 2023

MATH206Fundamentals of Geometry for Teachers3 Hours

Conceptual development of fundamental concepts of geometry and measurement. Note: Completion of general education math course is required.

Prerequisite(s): MATH205 with a minimum grade of C

Restriction(s): Enrollment is limited to students in Special Ed: LBD and Elm Edu (5003) , Elementary Education (527) , Exceptional Ed - LBD and MSD (553) , Middle Grades Education (579) , Mathematics (728) , Mathematics-Prep (728P) , Middle Grades Mathematics (730) or Middle Grades Mathematics-Prep (730P)

Recent Term(s) Offered: spring 2021; summer 2021; fall 2021; spring 2022; summer 2022; fall 2022; spring 2023; fall 2023

MATH237Multivariable Calculus4 Hours

Topics in real-valued functions of several variables including directional derivatives, implicit functions, gradient, Taylor's Theorem, maxima, minima, and Lagrange multipliers. Differential calculus of vector-valued functions including chain rule and Inverse Function Theorem. Multiple integrals, line integrals, surface integrals, Stokes' and Green's Theorems.

Prerequisite(s): MATH137 with a minimum grade of C

Recent Term(s) Offered: spring 2021; fall 2021; spring 2022; fall 2022; spring 2023; fall 2023

MATH240Geometry in Art and Architecture3 Hours

Euclidean geometry with historical applications in art and architecutre, such as tiling, circular and spiral designs, designs of the great cathedrals in Europe, Buddhist stupas in Asia, Islamic art, the development of visual perspective, and musical ratios. Colonnade/Statewide General Education Code K-SY

Prerequisite(s): 21 hours of Foundations and Explorations Courses, or junior status and (MATH112 with a minimum grade of B or MATH116 with a minimum grade of B or MATH115 with a minimum grade of B or MATH117 with a minimum grade of B or MATH109 with a minimum grade of B or MATH136 with a minimum grade of B or MATH142 with a minimum grade of B or MATH183 with a minimum grade of B)

Equivalent(s): HUM240

Recent Term(s) Offered: None

MATH270The Mathematics of Social Justice3 Hours

Use of mathematical and statistical tools to examine social justice topics on local, regional, national, and global scales. Colonnade/Statewide General Education Code K-LG

Prerequisite(s): 21 hours of Foundations and Explorations Courses, or junior status

Recent Term(s) Offered: spring 2023

MATH275Introductory Topics in Mathematics1-3 Hours (repeatable max of 3 hrs)

Varied topics selected to give students an early introduction to interesting mathematical problems or applications not found in the foundation sequence. Note: Permission of instructor required.

Prerequisite(s): MATH136

Recent Term(s) Offered: winter 2021; spring 2021; fall 2021; spring 2022; fall 2023

MATH295Introduction to Research Methodology1 Hour

To familiarize Ogden Research Scholars and other interested students with the fundamentals of choosing a research topic, performing a bibliographical search on a subject, classification of instruments, data taking, data reduction, professional ethics and related topics. The common points of research methodology in the different scientific areas will be emphasized, with examples drawn from various disciplines. Computers will be utilized. (Course does not count toward any major or minor.) Note: Ogden Research Scholar, or 3.2 grade point average at the end of freshman year or Ogden College faculty member recommendation is required.

Equivalent(s): ENGR295, CHEM295, PHYS295, CS295, BIOL295

Recent Term(s) Offered: None

MATH302Introduction to Advanced Mathematics for Middle Grades Teachers3 Hours

Development of skills in reasoning, justification, abstraction, generalization, and making connnections through the study of selected topics from logic, sets, relations and functions, combinatorics, number theory, graph theory, and matrix algebra, as appropriate for middle grades mathematics teachers.

Prerequisite(s): MATH136 (may be taken concurrently) with a minimum grade of C

Recent Term(s) Offered: fall 2021; fall 2022; fall 2023

MATH304Functions, Applications and Explorations3 Hours

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

Prerequisite(s): MATH137 with a minimum grade of C or MATH302 with a minimum grade of C

Recent Term(s) Offered: spring 2021; spring 2022; spring 2023

MATH305Introduction to Mathematical Modeling3 Hours

Theory and computer implementation of mathematical models. Deterministic, stochastic, discrete, continuous, and matrix models. Introduction to advanced topics such as linear algebra, differential and difference equations, probability, stochastic processes, and dynamical systems.

Prerequisite(s): MATH137 with a minimum grade of C

Recent Term(s) Offered: fall 2022

MATH306Applied and Computational Linear Algebra3 Hours

Basic concepts and computational techniques of matrix and linear algebra. Practical methods using computer software for small-to-large data sets. Applications in economics, finance, informatics, statistics, and social, engineering, physical and biological sciences. Computer assignments are required. Not accepted for credit toward a mathematics major or minor.

Prerequisite(s): (MATH116 with a minimum grade of C or MATH116E with a minimum grade of C or MA 116C with a minimum grade of C) and (MATH183 with a minimum grade of C or MATH136 with a minimum grade of C or MATH142 with a minimum grade of C)

Recent Term(s) Offered: None

MATH307Introduction to Linear Algebra3 Hours

Systems of linear equations, matrix algebra, vector spaces, inner product spaces, linear transformations, eigenvectors, quadratic forms.

Prerequisite(s): (MATH137 with a minimum grade of C or MATH136 with a minimum grade of A or MATH142 with a minimum grade of A) or (MATH136 with a minimum grade of C and CS290 with a minimum grade of C)

Recent Term(s) Offered: spring 2021; fall 2021; spring 2022; fall 2022; spring 2023; fall 2023

MATH308Rational Numbers and Data Analysis for Teachers3 Hours

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

Prerequisite(s): MATH205 with a minimum grade of C

Restriction(s): Enrollment is limited to students in Special Ed: LBD and Elm Edu (5003) , Elementary Education (527) , Mathematics (728) , Mathematics-Prep (728P) , Middle Grades Mathematics (730) or Middle Grades Mathematics-Prep (730P)

Recent Term(s) Offered: spring 2021; summer 2021; fall 2021; spring 2022; summer 2022; fall 2022; spring 2023; fall 2023

MATH310Introduction to Discrete Mathematics3 Hours

Introduction to discrete topics. Development of skills in abstraction and generalization. Set theory, functions and relations, mathematical induction, elementary propositional logic, quantification, truth tables, validity; counting techniques, pigeonhole principle, permutations and combinations; recurrence relations and generating functions; elementary graph theory, isomorphisms, trees.

Prerequisite(s): MATH137 with a minimum grade of C

Recent Term(s) Offered: spring 2021; fall 2021; spring 2022; fall 2022; spring 2023; fall 2023

MATH315Theory of Numbers3 Hours

A study of the arithmetic of the integers, divisibility, prime numbers, factorization, diophantine equations, congruences, quadratic residues.

Prerequisite(s): MATH307 with a minimum grade of C

Recent Term(s) Offered: None

MATH317Introduction to Algebraic Systems3 Hours

Introduction to groups, rings, polynomial rings, integral domains, and fields.

Prerequisite(s): MATH307 with a minimum grade of C and MATH310 with a minimum grade of C

Recent Term(s) Offered: fall 2021; fall 2022; fall 2023

MATH323Geometry I3 Hours

An axiomatic development of Euclidean and absolute plane geometry.

Prerequisite(s): MATH310 with a minimum grade of C

Recent Term(s) Offered: fall 2021; fall 2022; fall 2023

MATH331Differential Equations3 Hours

Methods of solution of differential equations, existence and nature of solutions, Laplace transform method, infinite series and numerical solutions, and applications.

Prerequisite(s): MATH137 with a minimum grade of C

Recent Term(s) Offered: spring 2021; fall 2021; spring 2022; summer 2022; fall 2022; spring 2023; fall 2023

MATH337Elements of Real Analysis3 Hours

Basic concepts and techniques of real analysis, including proofs by induction and contradiction, the number system, functions of real variables, sets, series and sequences, cardinality, continuity, convergence, and elementary topology.

Prerequisite(s): MATH237 with a minimum grade of C and MATH307 with a minimum grade of C and MATH310 with a minimum grade of C

Recent Term(s) Offered: spring 2021; spring 2022; spring 2023

MATH350Advanced Engineering Mathematics3 Hours

Special topics in Laplace transforms, linear algebra and complex analysis. Designed for engineering students.

Prerequisite(s): MATH331

Recent Term(s) Offered: None

MATH370Applied Techniques in Mathematics3 Hours

Matrices, systems of ordinary differential equations, complex variables, and at least one of the topics from Fourier analysis, numerical analysis or optimization (linear programming, Lagrange multipliers).

Prerequisite(s): MATH237 with a minimum grade of C and MATH331 with a minimum grade of C

Recent Term(s) Offered: spring 2021; spring 2023

MATH371Advanced Computational Problem Solving3 Hours

Problem-solving tools and techniques, with an emphasis on mathematical reasoning, algorithmic techniques, and computational methods. Techniques and tools are applied to (research) areas of interest to enrolled students, in the context of a project involving program design and implementation. The course is taught jointly by mathematics and computer science faculty. Note: Enrollment in the Gatton Academy of Mathematics and Science or Honors Program eligibility at WKU required.

Prerequisite(s): CS180 with a minimum grade of C and MATH136 (may be taken concurrently)

Equivalent(s): CS371

Recent Term(s) Offered: spring 2021; spring 2022; spring 2023

MATH382Probability and Statistics I3 Hours

Axioms and laws of probability; discrete and continuous probability distributions; multivariate distributions; random variables; expectation; moment generating functions; Central Limit Theorem.

Prerequisite(s): MATH310 with a minimum grade of C and MATH237 (may be taken concurrently)

Recent Term(s) Offered: fall 2021; fall 2022; fall 2023

MATH398Seminar1 Hour (repeatable max of 3 hrs)

Students will work on a topic of interest under the direction of a mathematics faculty member, who will set the requirements for the course. Mathematics majors could have the opportunity to continue this work in MATH498.

Prerequisite(s): MATH237 with a minimum grade of C

Recent Term(s) Offered: spring 2021

MATH403Geometry for Elementary and Middle School Teachers3 Hours

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.

Prerequisite(s): MATH206 with a minimum grade of C and MATH302 with a minimum grade of C

Recent Term(s) Offered: spring 2021; spring 2022; spring 2023

MATH405Numerical Analysis I3 Hours

Computer arithmetic, roots of equations, polynomial approximation and interpolation, numerical differentiation and integration. Computer solutions of problems will be required.

Prerequisite(s): MATH137 with a minimum grade of C and (MATH237 with a minimum grade of C or MATH307 with a minimum grade of C or MATH310 with a minimum grade of C) and (CS146 with a minimum grade of C or CS180 with a minimum grade of C)

Equivalent(s): CS405

Recent Term(s) Offered: fall 2021; fall 2022; fall 2023

MATH406Numerical Analysis II3 Hours

The solution of linear systems by direct and iterative methods, matrix inversion, the calculation of eigenvalues and eigenvectors of matrices. Initial and boundary value problems in ordinary differential equations. Computer solution of problems will be required.

Prerequisite(s): MATH237 with a minimum grade of C and MATH307 with a minimum grade of C and MATH331 with a minimum grade of C and (MATH405 with a minimum grade of C or CS405 with a minimum grade of C)

Recent Term(s) Offered: spring 2023

MATH409History of Mathematics3 Hours

History of mathematics from ancient times through the development of calculus, with emphasis on famous problems. Provides knowledge and appreciation useful in the classroom. This course cannot be accepted as part of the 35-hour requirement for the non-certifiable mathematics major. Term papers will be required. Note: Six hours of approved mathematics courses at the 300 and/or 400 level or permission of instructor required.

Recent Term(s) Offered: None

MATH411Problem Solving for Elementary and Middle School Teachers3 Hours

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.

Prerequisite(s): MATH206 with a minimum grade of C and MATH302 with a minimum grade of C and MATH308 with a minimum grade of C

Recent Term(s) Offered: fall 2021; fall 2022; fall 2023

MATH413Algebra and Technology for Middle Grades Teachers3 Hours

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.

Prerequisite(s): (MATH302 with a minimum grade of C or MATH137 with a minimum grade of C)

Recent Term(s) Offered: fall 2021; fall 2022; fall 2023

MATH415Algebra and Number Theory3 Hours

An integrated survey of modern algebra and number theory. Topics include number systems, divisibility, congruences, groups and their application to number theory.

Prerequisite(s): (MATH315 with a minimum grade of C or MATH317 with a minimum grade of C)

Recent Term(s) Offered: None

MATH417Algebraic Systems3 Hours

The theory of finite groups and related algebraic systems. Lagrange's Theorem, Sylow Theorems, and the structure of finite groups are studied. Applications of group theory to the study of algebraic problems and symmetry.

Prerequisite(s): MATH317 with a minimum grade of C

Recent Term(s) Offered: spring 2022; spring 2023

MATH421Problem Solving for Secondary Teachers3 Hours

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. Note: Permission of instructor may be required.

Prerequisite(s): MATH137 with a minimum grade of C and (MATH307 with a minimum grade of C or MATH310 with a minimum grade of C)

Recent Term(s) Offered: spring 2021; spring 2022; spring 2023

MATH423Geometry II3 Hours

An axiomatic development of hyperbolic geometry based on the hyperbolic parallel postulate and the absolute geometry developed in MATH323, including an emphasis on contrasts with Euclidean geometry. Note: Permission of instructor may be required.

Prerequisite(s): MATH323 with a minimum grade of C and MATH137 with a minimum grade of C

Recent Term(s) Offered: None

MATH431Intermediate Analysis I3 Hours

Topics in analysis chosen from inverse and implicit function theorems, differentiation, integration, infinite series, series of functions, and elementary functional analysis.

Prerequisite(s): MATH337 with a minimum grade of C

Recent Term(s) Offered: fall 2022; fall 2023

MATH435Partial Differential Equations3 Hours

Equations of first and second order; elliptic, hyperbolic and parabolic equations; Sturm-Liouville theory; applications to equations of mathematical physics using separation of variables and Fourier series.

Prerequisite(s): MATH237 with a minimum grade of C and MATH307 with a minimum grade of C and MATH331 with a minimum grade of C

Recent Term(s) Offered: spring 2021; spring 2022; spring 2023

MATH439Topology I3 Hours

Introduction to topology including topics selected from: topological spaces, mappings, homeomorphisms, metric spaces, surfaces, knots, manifolds, separation properties, compactness and connectedness. Note: Permission of instructor may be required.

Prerequisite(s): MATH317 with a minimum grade of C

Recent Term(s) Offered: fall 2021; fall 2022

MATH450Complex Variables3 Hours

Complex number plane, analytic functions of a complex variable, integration, power series, calculus of residues, conformal representation, applications of analytic function theory.

Prerequisite(s): MATH237 with a minimum grade of C

Recent Term(s) Offered: spring 2021; spring 2022; spring 2023

MATH470Introduction to Operations Research3 Hours

Principles and techniques of operations research including linear programming, integer programming, quality theory, sensitivity analysis, and dynamic programming.

Prerequisite(s): MATH237 with a minimum grade of C and MATH307 with a minimum grade of C

Recent Term(s) Offered: None

MATH473Introduction to Graph Theory3 Hours

Fundamental concepts, key ideas and tools in graph theory, with an emphasis on proof methods, algorithms and applications. Techniques and tools are applied to practical optimization problems and other areas of mathematics and computer science. Note: Permission of instructor may be required.

Prerequisite(s): MATH307 with a minimum grade of C and MATH310 with a minimum grade of C

Equivalent(s): CS473

Recent Term(s) Offered: fall 2022

MATH475Selected Topics in Mathematics1-3 Hours (repeatable max of 6 hrs)

A consideration of special topics to acquaint the advanced undergraduate student with significant problems and developments of current interest in mathematics. Topics may vary each semester offered. Note: Permission of instructor required.

Recent Term(s) Offered: spring 2021; fall 2021; fall 2022; spring 2023

MATH482Probability and Statistics II3 Hours

Multivariate probability distributions; sampling distributions, statistical inference; point and interval estimation, properties of estimators; hypothesis testing; regression and correlation; analysis of variance; non-parametric methods.

Prerequisite(s): MATH237 with a minimum grade of C and MATH382 with a minimum grade of C

Recent Term(s) Offered: spring 2021; spring 2022; spring 2023

MATH490Seminar in Middle Grades Mathematics1-3 Hours (repeatable max of 3 hrs)

Designed to integrate the ideas and techniques students have encountered in the middle grades mathematics major. Students undertake independent investigations in mathematics. Papers and oral prsentations are required. Note: Completion of at least 25 hours of mathematics courses with grades of C or better, required for the Middle Grades Mathematics Degree.

Prerequisite(s): (MATH411 (may be taken concurrently) or MATH421 (may be taken concurrently))

Recent Term(s) Offered: spring 2021; fall 2021; spring 2022; fall 2022; fall 2023

MATH497Senior Seminar in Mathematical Economics1 Hour

This course is designed to integrate the ideas and techniques students have encountered in their work in mathematics and economics. Students will study research articles and/or undertake independent investigations in mathematical economics.

Restriction(s): Students with a semester level of Academy Junior, Academy Senior, Freshman, Junior or Sophom*ore may not enroll.

Enrollment is limited to students in Mathematical Economics (731)

Equivalent(s): ECON497

Recent Term(s) Offered: spring 2022

MATH498Senior Seminar1-3 Hours (repeatable max of 3 hrs)

Students will study articles in current mathematical journals or undertake independent investigations in mathematics. Written and oral presentations will be required. Note: Permission of instructor may be required.

Prerequisite(s): MATH237 with a minimum grade of C and MATH317 with a minimum grade of C

Restriction(s): Students with a semester level of Academy Junior, Academy Senior, Freshman, Junior or Sophom*ore may not enroll.

Recent Term(s) Offered: spring 2021; fall 2021; spring 2022; fall 2022; spring 2023; fall 2023

STAT301Introductory Probability and Applied Statistics3 Hours

A calculus-based introduction to probability and applied statistics, with emphasis on analysis of real-world data. Topics include principles of elementary probability; essential discrete and continuous probability distributions; descriptive statistics; sampling distributions; estimation and hypothesis testing for means, variances, and proportions; and simple linear regression. Technology is integrated throughout the course.

Prerequisite(s): (MATH136 with a minimum grade of C or MATH142 with a minimum grade of C)

Recent Term(s) Offered: spring 2021; summer 2021; fall 2021; spring 2022; fall 2022; spring 2023; summer 2023; fall 2023

STAT330Introduction to Statistical Software3 Hours

Using proprietary and open-source statistical software for data analysis. Interactive techniques for data management, manipulation and transformation. Interactive techniques for data error checking, descriptive statistics, basic inferential statistics, and basic report generation such as tabular and graphical displays. Introduction to scripts and batch processing when applicable. Proper use and interpretation of the methods are emphasized. Note: Three hours of undergraduate statistics with a grade of C or better, or consent of instructor.

Recent Term(s) Offered: spring 2021; spring 2022; spring 2023

STAT401Regression Analysis3 Hours

Regression topics including simple and multiple linear regression, least squares estimates, inference, transformations, diagnostic checking, and model selection methods. Selected special regression topics will also be introduced. Statistical software packages will be used for analyses. Note: Permission of instructor may be required.

Prerequisite(s): STAT301 with a minimum grade of C and (STAT330 (may be taken concurrently) with a minimum grade of C or CS396 with a minimum grade of C)

Recent Term(s) Offered: fall 2021; fall 2022; fall 2023

STAT402Experimental Design3 Hours

Experimental design and analysis topics including single- and mutiple-factor designs, factorial and fractional factorial designs, fixed vs. random effects models, response surface, nested designs, and special topics. Statistical software packages will be used for analyses. Note: Permission of instructor may be required.

Prerequisite(s): STAT301 with a minimum grade of C and (STAT330 (may be taken concurrently) with a minimum grade of C or CS396 with a minimum grade of C)

Recent Term(s) Offered: spring 2021; spring 2022; spring 2023

STAT440Categorical Data Analysis3 Hours

Categorical data analysis topics including contingency tables, log-linear models, relative risk and odds, and logistic regression. Statistical software packages will be used for data analyses.

Prerequisite(s): STAT301 with a minimum grade of C and STAT330 (may be taken concurrently)

Recent Term(s) Offered: None

Department of Mathematics < Western Kentucky University (2024)

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