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Western Carolina University · Courses

MATH

52 courses with the subject MATH, each shown exactly as we captured it from the college's catalog, with every element we hold. Where the wording looks broken, that is our reading of the catalog, not the college's text.

MATH 100Precalculus I Support1

Support Topics for MATH 130: Real number properties, solving equations, identifying variables including units, algebraic manipulation of expressions, graphs, systems of equations.

Subject
MATH
Credits (min)
1
Credits (max)
1
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Corequisite
MATH 130 . Credits: 1
MATH 101Mathematical Concepts3

Introduction to applications of mathematics to daily experience. Topics to include statistical analysis and interpretation, applications to business, measurement methods, and selected topics of interest (Liberal Studies C2).

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
MATH 130Precalculus I3

Functions using multiple representations; linear, exponential, logarithmic, polynomial, and rational functions; compositions, inverses, and combinations of functions; data and modeling, applications. (Liberal Studies C2)

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Corequisite
MATH 100 or placement Credits: 3
MATH 140Introductory Calculus5

The differential and integral calculus of algebraic functions of one variable.

Subject
MATH
Credits (min)
5
Credits (max)
5
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Prerequisite
MATH 130 , or MATH 146 , or placement. Credits: 5
MATH 146Precalculus II4

Functions using multiple representations; trigonometric functions, transformations, compositions, inverses, and combinations of functions; data and modeling, applications. (Liberal Studies C2).

Subject
MATH
Credits (min)
4
Credits (max)
4
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Prerequisite
MATH 130 with a C or better or placement. Credits: 4
MATH 153Calculus I4

Limits, continuity, derivative, and integrals of algebraic and trigonometric functions with applications.

Subject
MATH
Credits (min)
4
Credits (max)
4
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Prerequisite
MATH 146 or placement. Credits: 4
MATH 170Applied Statistics3

Descriptive statistics, exploratory data analysis, probability distributions, correlation, regression, estimation, and hypothesis testing (Liberal Studies C2).

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
MATH 192Fractals: The Geometry of Nature3

Investigate basic mathematical principles behind fractals with connections to literature, art, science, and the general world.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
MATH 193Cryptography: The Science of Secrets3.0

A first-year seminar covering basic mathematical techniques, historical development, and contemporary issues related to the practice of cryptography.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Prerequisite
None
Corequisite
None Credits: 3.0
MATH 200Introduction to Mathematical Problem Solving1

Introduction to problem solving strategies appropriate for K-12 mathematics teaching and learning.

Subject
MATH
Credits (min)
1
Credits (max)
1
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Prerequisite
MATH 146 or higher. Credits: 1
MATH 221Number Sense for Teaching3

Numeration systems; quantitative reasoning with integers, rationals, irrationals, and reals; number theory.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
MATH 250Introduction to Logic and Proof3

An introduction to the principles of logic and the methods of proof necessary for the successful study of mathematics.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Prerequisite
MATH 140 , or MATH 153 , or permission of department head. Credits: 3
MATH 255Calculus II4

Derivatives and integrals of transcendental functions, techniques of integration, indeterminant forms, improper integrals, infinite series.

Subject
MATH
Credits (min)
4
Credits (max)
4
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Prerequisite
MATH 153 . Credits: 4
MATH 256Calculus III4

Plane curves, polar coordinates, vectors and solid analytical geometry, vector-valued functions, partial differentiation, multiple integrals.

Subject
MATH
Credits (min)
4
Credits (max)
4
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Prerequisite
MATH 255 . Credits: 4
MATH 270Statistical Methods I3

Descriptive statistics, probability, random variables, sampling distributions, confidence intervals, one-sample and two-sample hypothesis testing, chi-square inference for two-way tables, simple linear regression, multiple linear regression, analysis of variance. Introduction to at least one statistical software package.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Prerequisite
MATH 146 , or MATH 153 , or placement. Credits: 3
MATH 300Problem Solving2

Methods and techniques for problem solving in mathematics. 2 Lecture.

Subject
MATH
Credits (min)
2
Credits (max)
2
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Prerequisite
MATH 200 . Credits: 2
MATH 301History of the Scientific Revolution3

A study of the role of science in Western culture from classical antiquity to the seventeenth century (Liberal Studies P3).

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
MATH 310Discrete Structures3

Graph theory: planarity, eulerian, hamiltonian, colorings, and trees. Enumeration: permutations, combinations, binomial distribution, generating functions, recurrence relations, and inclusion-exclusion.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Prerequisite
MATH 250 or permission of instructor. Credits: 3
MATH 311Informal Geometry3

Points, lines, planes, constructions; axiomatic structure of geometry and the nature of proof.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Prerequisite
MATH 221 and MATH 321 . Credits: 3
MATH 320Ordinary Differential Equations3

Differential equations of first order, first degree with applications; linear equations of higher order and numerical methods; special equations of second order.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Prerequisite
MATH 255 . Credits: 3
MATH 321Reasoning about Change, Measurement, Chance, and Data for Teaching3

Mathematics of algebraic and geometric change; measurements of two-and-three-dimensional shapes; study of chance and probability; collecting, representing, and interpreting data.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Prerequisite
MATH 221 . Credits: 3
MATH 340Introduction to Scientific Computing3

Survey of mathematical software and programming languages; applications in modeling and simulation; development of algorithms that requires advanced mathematical background.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Prerequisite
MATH 255 . Credits: 3
MATH 361Abstract Algebra I3

Groups, rings, and fields.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Prerequisite
MATH 250 . Credits: 3
MATH 362Linear Algebra I3

An introduction to basic concepts in linear algebra with a focus on computation and application. Topics include systems of equations, matrices, subspaces of R^n, linear transformations, eigenvalues and eigenvectors and applications.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Prerequisite
MATH 153 . Credits: 3
MATH 370Probability and Statistics I3

Classical probability models, distributions of discrete and continuous random variables including binomial, Poisson, normal, and exponential random variables, mathematical expectation, Central Limit Theorem, confidence intervals and hypothesis tests for one mean and difference of two means.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Prerequisite
MATH 255 Credits: 3
MATH 373Theory of Interest for Actuarial Exam FM3

Topics in financial mathematics on the second exam of the Actuarial Societies: interest rates, annuities, accumulation functions, amortization schedules, present values, future values, and bonds.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Prerequisite
MATH 255 . Credits: 3
MATH 375Statistical Methods II3

Least squares estimates of parameters in regression models, simple linear regression, multiple linear regression, hypothesis testing and confidence intervals in linear regression models, testing of models, data analysis and appropriateness of models, time series models, moving average, regression-based and/or ARIMA models, estimation, data analysis and forecasting with time series models, forecast errors and confidence intervals. Analysis of real data will be included.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Prerequisite
MATH 270 . Credits: 3
MATH 379Junior Capstone1

This course will prepare students for independent research, critical analysis, and professional presentation in the senior capstone experience.

Subject
MATH
Credits (min)
1
Credits (max)
1
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Prerequisite
MATH 250 and completed 60 hours. Credits: 1
MATH 380Research in Mathematics1-3

Supervised research directed toward a topic selected in consultation with the instructor. S/U grading.

Subject
MATH
Credits (min)
1
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Prerequisite
Permission of instructor. Credits: 1-3, R6
MATH 393Topics in Mathematics1-6

Topics in Mathematics.

Subject
MATH
Credits (min)
1
Credits (max)
6
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Prerequisite
Permission of department head. Credits: 1-6, R6
MATH 394Contest Preparation Seminar1

Solving contest problems from selected topics such as: Number Theory, Combinatorics, Geometry, Inequalities, Calculus, Polynomials, Functional Equations, etc., S/U grading.

Subject
MATH
Credits (min)
1
Credits (max)
1
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Prerequisite
MATH 153 . Credits: 1, R4
MATH 400History of Mathematics3

The development of mathematics from a historical perspective. Topics include elementary number theory, probability, algebra, geometry, trigonometry, and calculus.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Prerequisite
MATH 153 , or MATH 140 , or permission of department head. Credits: 3
MATH 411Foundations in Geometry3

Axiomatic approach to the study and development of Euclidean and non-Euclidean geometry.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Prerequisite
Junior Standing or permission of department head. Credits: 3
MATH 412Modern Geometries3

Finite geometries, transformations, motions of the Euclidean plane and three-space, similarity transformations, convexity, and other topics.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Prerequisite
Junior Standing or permission of department head. Credits: 3
MATH 414Introduction to Secondary Mathematics Teaching Methods3

An examination of secondary mathematics curriculum and methods, strategies, and techniques of using technology to support mathematics teaching and learning.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Prerequisite
Admission to the Professional Education Sequence and Junior Standing, or permission of instructor. Credits: 3
MATH 415Methods and Materials for Teaching Mathematics in the Secondary School3

A survey of contemporary trends and issues in teaching mathematics at the secondary level. Methods, materials, curriculum, and other current practices are included.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Prerequisite
Admission to the Professional Education Sequence and MATH 414 . Credits: 3
MATH 420Partial Differential Equations3

Solution techniques, modeling and analysis of partial differential equations (PDEs) and boundary value problems. Techniques include separation of variables methods for second-order linear PDEs, Fourier series, Transform methods, Bessel functions, and Sturm-Liouville Theory. Additional topics may include Green’s functions, numerical methods, and method of characteristics. (Liberal Studies C2)

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Prerequisite
MATH 256 ; MATH 320 Credits: 3
MATH 422Real Analysis I3

Sequences of real numbers, continuous functions, and differentiation.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Prerequisite
MATH 250 and MATH 255 . Credits: 3
MATH 424Complex Variable Theory3

The complex number system, limits, continuity, derivatives, transcendental and multiple valued functions, integration.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Prerequisite
MATH 256 . Credits: 3
MATH 430Mathematical Modeling3

Topics including design of models, analysis of stability and sensitivity, optimization, programming, forecasting, differential equation models, diffusion, or wave propagation. (Liberal Studies C2).

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Prerequisite
MATH 320 Credits: 3
MATH 441Introduction to Numerical Analysis3

Numerical techniques in root-finding, interpolation, differentiation and integration, ordinary differential equations, linear systems, and error analysis.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Prerequisite
( CS 150 or MATH 340 ) and MATH 255 . Credits: 3
MATH 450Linear Optimization3

Formulation and solution of linear programming models; development of simplex method; duality theory; sensitivity analysis; software; and applications. (Liberal Studies C2).

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Prerequisite
MATH 255 ; MATH 362 or permission of instructor Credits: 3
MATH 461Abstract Algebra II3

Topics from abstract algebra including quotient groups and rings, rings of polynomials and field extensions, quaternions, homomorphism theorems.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Prerequisite
MATH 361 . Credits: 3
MATH 462Linear Algebra II3

A theoretical development of basic linear algebra concepts in abstract vector spaces. Extension of basic concepts to include inner product spaces, orthogonalization, projections, and advanced topics at the discretion of the instructor. Development of mathematical proofs pertaining to linear algebra.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Prerequisite
MATH 250 and MATH 362 . Credits: 3
MATH 470Probability and Statistics II3

Multivariate random variables, covariance and linear functions of random variables, sampling distributions, methods and properties of estimation, confidence intervals, hypothesis testing, including likelihood ratio and Neyman-Pearson lemma, chi-square tests including goodness-of-fit and analysis of contingency tables.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Prerequisite
MATH 370 Credits: 3
MATH 471Problem Solving for Actuarial Exam P3

Advanced problem solving by means of extensive review and practice. Preparing students for Exam P of the Society of Actuaries and the Casualty Actuarial Society.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Prerequisite
MATH 255 . Credits: 3
MATH 472Data Science3

Introduction to a high-level language, exploring, cleaning, and manipulating data, data visualization, functions and basic coding, concepts of projects and code management, and data collection.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Prerequisite
MATH 270 or MATH 370 Credits: 3
MATH 474Introduction to Statistical Models3

The foundation of this course is the practical construction and validation of regression models. Topics include estimation and testing, regression diagnostics and graphical assessment, an introduction to linear models including simple and multiple regression, and an exploration of advanced models such as logistic regression, weighted least squares, and generalized least squares. The course also covers methods for model selection and performance. Use of at least one statistical software package.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Prerequisite
MATH 270 or MATH 370 Credits: 3
MATH 475Machine Learning3

This course introduces the fundamental concepts, methods, and applications of machine learning. Students will explore key topics such as supervised and unsupervised learning, model training, evaluation and interpretation, and the use of algorithms for prediction, classification, clustering, and dimensionality reduction. Emphasis will be placed on both the mathematical foundations and practical implementation of machine learning techniques using modern programming tools.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Prerequisite
( MATH 270 or MATH 370 ) and ( CS 150 or MATH 340 or ENGR 123 or instructor permission) Credits: 3
MATH 479Senior Capstone2

Independent student review of a supervisor-approved topic from mathematical literature or undergraduate research. Students present their findings both in writing and in an oral presentation to the department.

Subject
MATH
Credits (min)
2
Credits (max)
2
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Prerequisite
A grade of C or better in MATH 250 , ( MATH 379 or MATH 414 ) or department head approval, and Senior Standing. Credits: 2
MATH 480Senior Thesis1

A guided undergraduate research experience with a faculty mentor. Students will write a paper and give an oral presentation on a mathematics related topic. S/U grading.

Subject
MATH
Credits (min)
1
Credits (max)
1
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Prerequisite
MATH 479 . Credits: 1
MATH 491Supervised Student Teaching in Mathematics, 9-123

A full-time supervised teaching experience in the discipline.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
CURRENT 2026-2027 Undergraduate Catalog
Source
catalog.wcu.edu
Corequisite
EDSE 485 and EDSE 495 . Credits: 3

Source: Western Carolina University's catalog, linked per course · table learning_unit · CourseShelf publish 61