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University of North Carolina Asheville · Courses

MATH

36 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 155Quantitative Literacy4

Topics from financial math, statistics, mathematical modeling, the mathematics of art and music, symbolic logic, set theory, theories of voting, practical geometry, and network theory are explored with an emphasis on problem solving. Fall and Spring.

Subject
MATH
Credits (min)
4
Credits (max)
4
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.unca.edu
MATH 167Precalculus4

A study of rational, algebraic, exponential and trigonometric functions and their applications. Topics will include graphing, the solving of equations and mathematical modeling. This course is primarily for students who need to take Calculus I but do not have a sufficient mathematics background to do so.

Subject
MATH
Credits (min)
4
Credits (max)
4
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.unca.edu
Prerequisite
the equivalent of two years of high school algebra. Fall and Spring.
MATH 171-4Special Topics in Mathematics1-4

Course not otherwise included in the catalog listing but for which there may be special needs. May be repeated for credit as often as permitted and as subject matter changes. See department chair.

Subject
MATH
Credits (min)
1
Credits (max)
4
Type
course
Repeatable
May be repeated for credit as often as permitted and as subject matter changes.
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.unca.edu
MATH 191Calculus I4

An introduction to limits, continuity, derivatives and integrals, with emphasis on the calculus of polynomial, rational and algebraic functions; a balanced presentation of the theory and application of differential and integral calculus.

Subject
MATH
Credits (min)
4
Credits (max)
4
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.unca.edu
Prerequisite
MATH 167 or placement, or permission of instructor. Fall and Spring.
MATH 192Calculus II4

The calculus of exponential, logarithmic and trigonometric functions, the Mean Value Theorem, indeterminate forms, improper integrals and infinite series.

Subject
MATH
Credits (min)
4
Credits (max)
4
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.unca.edu
Prerequisite
MATH 191.
MATH 211Structure of Mathematics: Algebra and Number Systems3

An intuitive development of the real number system with emphasis on problem solving. Topics include set theory, fundamentals of arithmetic and number theory, and basic algebraic structures. This course is designed for elementary licensure students.

Subject
MATH
Credits (min)
3
Credits (max)
3
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.unca.edu
Prerequisite
at least 30 semester hours. Fall.
MATH 215Structure of Mathematics: Geometry and Statistics3

A study of the fundamental mathematical principles on which geometry and statistics are based. Topics include descriptive statistics, basic probability, measurements of length, area and volume, equivalency, and study of geometric structures. This course is designed for elementary licensure students.

Subject
MATH
Credits (min)
3
Credits (max)
3
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.unca.edu
Prerequisite
at least 30 semester hours. Spring.
MATH 242Mathematical Software2

Introduction to computational software used in mathematical investigation. Activities include but are not limited to visualization, programming, and computational investigations. Software may include Mathematica, Matlab, or similar packages. May be repeated as topics vary for a total of 4 hours credit.

Subject
MATH
Credits (min)
2
Credits (max)
2
Type
course
Repeatable
May be repeated as topics vary for a total of 4 hours credit.
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.unca.edu
Prerequisite
MATH 191. See department chair.
MATH 251Discrete Mathematics3

Introductory logic and Boolean algebra, mathematical induction, recursion and difference equations, combinatorics, graph theory and modeling.

Subject
MATH
Credits (min)
3
Credits (max)
3
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.unca.edu
Prerequisite
MATH 191. Spring.
MATH 271-4Special Topics in Mathematics1-4

Course not otherwise included in the catalog listing but for which there may be special needs. May be repeated for credit as often as permitted and as subject matter changes. See department chair.

Subject
MATH
Credits (min)
1
Credits (max)
4
Type
course
Repeatable
May be repeated for credit as often as permitted and as subject matter changes.
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.unca.edu
MATH 280Introduction to the Foundations of Mathematics3

Set theory, functions and relations, the structure of the real number system, deductive logic and the nature of proof, and axiomatic systems. Pre- or

Subject
MATH
Credits (min)
3
Credits (max)
3
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.unca.edu
Corequisite
MATH 192. Fall and Spring.
MATH 291Calculus III4

Functions of several variables, with emphasis on partial differential and multiple integration; introduction to vector analysis; may include an introduction to line and surface integrals.

Subject
MATH
Credits (min)
4
Credits (max)
4
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.unca.edu
Prerequisite
MATH 192.
MATH 295Math for Machine Learning4

Introduces the essential tools of calculus, linear algebra, probability, and statistics used in machine learning. Topics include numerical differentiation and integration, optimization, linear systems, distributions, and regression. Applications in machine learning are explored.

Subject
MATH
Credits (min)
4
Credits (max)
4
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.unca.edu
Prerequisite
MATH 191 and CSCI 182 or 183 or 185, or permission of instructor. Spring.
MATH 303History of Mathematics3

A study of the historical development of mathematical thought. Topics may include investigations of different number systems, the logical foundations of geometry, the development of calculus, and the emergence of modern mathematics.

Subject
MATH
Credits (min)
3
Credits (max)
3
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.unca.edu
Prerequisite
MATH 192. See department chair.
MATH 332Geometry3

Euclidean geometry and the fifth postulate; hyperbolic and elliptic geometries, the consistency of non-Euclidean geometries, and projective geometry.

Subject
MATH
Credits (min)
3
Credits (max)
3
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.unca.edu
Prerequisite
MATH 280, 291. Odd years Fall.
MATH 365Linear Algebra I3

Study of the theory and applications of systems of linear equations, vector spaces, matrices, linear transformations, determinants and eigen-vectors. Specific topics include inner product spaces, Gram-Schmidt orthogonalization and the diagonalization of matrices.

Subject
MATH
Credits (min)
3
Credits (max)
3
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.unca.edu
Prerequisite
MATH 192 or 251. Fall and Spring.
MATH 366Linear Algebra II3

An in-depth treatment of topics introduced in MATH 365. Examples are the Hamilton-Cayley theorem, Markov chains, orthogonal systems and singular value decomposition.

Subject
MATH
Credits (min)
3
Credits (max)
3
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.unca.edu
Prerequisite
MATH 280, 365. See Department Chair.
MATH 368Theory of Numbers3

Divisibility, prime numbers, congruences, linear and non-linear Diophantine equations, quadratic residues, representations as sums, and continued fractions.

Subject
MATH
Credits (min)
3
Credits (max)
3
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.unca.edu
Prerequisite
MATH 280. See department chair.
MATH 371-4Special Topics in Mathematics1-4

Course not otherwise included in the catalog listing but for which there may be special needs. May be repeated for credit as often as permitted and as subject matter changes. See department chair.

Subject
MATH
Credits (min)
1
Credits (max)
4
Type
course
Repeatable
May be repeated for credit as often as permitted and as subject matter changes.
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.unca.edu
MATH 381Mathematics Professional Seminar1

This seminar develops skills in communication, critical thinking, professionalism, and teamwork through authentic mathematical tasks and career-focused activities. Students practice articulating their skills and experiences effectively in the context of a job search, while practicing how to translate mathematical ideas for non-technical audiences. Collaborative projects give students experience with the types of work and problem-solving they may encounter in professional environments.

Subject
MATH
Credits (min)
1
Credits (max)
1
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.unca.edu
Prerequisite
MATH 291 and junior standing; or permission of instructor. Fall.
MATH 391Advanced Calculus3

Topics in Vector Calculus, including Implicit Function Theorem, Gradient Fields, Green’s Theorem, Divergence Theorem and Stokes’ Theorem.

Subject
MATH
Credits (min)
3
Credits (max)
3
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.unca.edu
Prerequisite
MATH 291; or permission of instructor. MATH 365 is recommended. See department chair.
MATH 394Differential Equations3

Existence and uniqueness of solutions of differential equations; separable, homogeneous, and exact equations; the Laplace transform; elementary numerical and infinite series methods; Fourier series; and various applications.

Subject
MATH
Credits (min)
3
Credits (max)
3
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.unca.edu
Prerequisite
MATH 291. Fall and Spring.
MATH 395Partial Differential Equations3

First and second order partial differential equations, their derivations, methods of solution, and applications to the physical sciences.

Subject
MATH
Credits (min)
3
Credits (max)
3
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.unca.edu
Prerequisite
MATH 291, 394. Odd years Spring.
MATH 397Chaos and Fractals3

The study of nonlinear iterated function systems in one and higher dimensions. Topics may include periodicity, chaotic dynamics, structural stability, strange attractors, and fractal geometry. Numerical experimentation with personal computers will be part of the course.

Subject
MATH
Credits (min)
3
Credits (max)
3
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.unca.edu
Prerequisite
MATH 291. See department chair.
MATH 398Complex Variables3

Complex numbers and their geometrical representation, analytic functions of a complex variable, integration, power series and the calculus of residues.

Subject
MATH
Credits (min)
3
Credits (max)
3
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.unca.edu
Prerequisite
MATH 291. See department chair.
MATH 431Topology3

Metric spaces, topological spaces, separation axioms, connectedness and compactness.

Subject
MATH
Credits (min)
3
Credits (max)
3
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.unca.edu
Prerequisite
MATH 280, 291; or permission of instructor. See department chair.
MATH 441Numerical Analysis (CSCI 441)3

The theory and methods behind solving mathematical problems numerically. Topics include polynomial approximation, numerical integration, matrix algebra, solutions to systems of non-linear equations and numerical solutions to differential equations.

Subject
MATH
Credits (min)
3
Credits (max)
3
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.unca.edu
Prerequisite
MATH 192; CSCI 182 or 183 or 185; or permission of instructor. Even years Spring.
MATH 452Introduction to Mathematical Models3

The development and analysis of mathematical equations based on real world situations. Special emphasis is given to systems of time-dependent equations, their stability analysis, and the assessment of their relevance to the application.

Subject
MATH
Credits (min)
3
Credits (max)
3
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.unca.edu
Prerequisite
MATH 394; CSCI 182 or 183 or 185; or permission of instructor. See department chair.
MATH 461Abstract Algebra I3

An introduction to the algebraic structures: groups, rings, integral Domains and fields. Basic facts about group and ring homomorphisms are included.

Subject
MATH
Credits (min)
3
Credits (max)
3
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.unca.edu
Prerequisite
MATH 280, 291; or permission of instructor. Fall.
MATH 462Abstract Algebra II3

An in-depth study of one or more of the ideas introduced in MATH 461; e.g., the Sylow theorems for group or elementary Galois theory of fields.

Subject
MATH
Credits (min)
3
Credits (max)
3
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.unca.edu
Prerequisite
MATH 461. See department chair.
MATH 471-4Special Topics in Mathematics1-4

Course not otherwise included in the catalog listing but for which there may be special needs. May be repeated for credit as often as permitted and as subject matter changes. See department chair.

Subject
MATH
Credits (min)
1
Credits (max)
4
Type
course
Repeatable
May be repeated for credit as often as permitted and as subject matter changes.
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.unca.edu
MATH 480Mathematics Seminar2

Capstone course in which students research a mathematical topic suitable to their plan of study, write an expository paper, and present their findings to the department. Students must successfully complete MATH 480 as part of the senior competency requirements.

Subject
MATH
Credits (min)
2
Credits (max)
2
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.unca.edu
Prerequisite
MATH 381. Spring
MATH 489Professional Internship1-3

Semester-long internship involving mathematical/statistical work with a participating public agency, nonprofit organization or commercial institution. A written report and oral presentation are required upon completion of the project.

Subject
MATH
Credits (min)
1
Credits (max)
3
Type
course
Repeatable
May be repeated for a total of three hours credit.
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.unca.edu
Prerequisite
minimum grade-point average of 2.5 overall and in the department, MATH 291, at least junior standing, and permission of instructor. (Grading S/U.) May be repeated for a total of three hours credit. See department chair.
MATH 491Analysis I3

The real number system, limits, sequences and functions, continuity, derivatives, mean value theorems and integration.

Subject
MATH
Credits (min)
3
Credits (max)
3
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.unca.edu
Prerequisite
MATH 280, 291; or permission of instructor. Spring.
MATH 492Analysis II3

Sequences and series of functions. Further topics may include, for example, introduction to metric spaces, Lebesgue measure and integration, and functions of more than one variable.

Subject
MATH
Credits (min)
3
Credits (max)
3
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.unca.edu
Prerequisite
MATH 491. See department chair.
MATH 499Undergraduate Research in Mathematics1-6

Independent research under the supervision of a faculty mentor. An IP grade may be awarded at the discretion of the instructor. May be repeated for a total of 6 hours credit.

Subject
MATH
Credits (min)
1
Credits (max)
6
Type
course
Repeatable
May be repeated for a total of 6 hours credit.
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.unca.edu
Prerequisite
MATH 280, 291. See department chair.

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