University of North Carolina at Charlotte · Courses
MATH
172 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 0900Math Study Skills and Algebra Review. (1) Prepares
students to be successful in college algebra or precalculus. Topics include: a review of elementary algebra, exponents and radicals, polynomial and rational functions, equations, and inequalities. Study skills needed to be successful in mathematics are an important part of this course. Placement in this course is based on an appropriate eligibility level of math placement and is restricted to students who do not have college-level math credit.
Prerequisite(s): Either No Math Placement Level or Math Placement Level 1. An introduction to mathematical ideas designed primarily for non- science students. Topics are drawn from various branches of mathematics which may include algebra, geometry, number theory, probability, statistics and graph theory. This course is for students who are not majoring in programs that require College Algebra, Pre-Calculus, or Calculus.
MATH 1103LThe Academic Success Experience. (1) Prerequisite(s)
Permission of the course instructor or department. Co-requisite 2026-2027 UNC CHARLOTTE UNDERGRADUATE CATALOG Course(s): MATH 1103. This corequisite companion course is designed for students enrolled in a foundational gateway course. It provides targeted academic support, a smaller peer learning community, and mentorship to help students strengthen their understanding of course content and develop skills for long-term academic success.
MATH 1241LThe Academic Success Experience. (1) Prerequisite(s)
Permission of the course instructor or department. Co-requisite Course(s): MATH 1241. This corequisite companion course is designed for students enrolled in a foundational gateway course. It provides targeted academic support, a smaller peer learning community, and mentorship to help students strengthen their understanding of course content and develop skills for long-term academic success. MATH 1242. Calculus II. (3) Prerequisite(s): MATH 1241 with grade of C or above. Methods for evaluating definite integrals, applications of integration, improper integrals, infinite series, Taylor series, power series, and introduction to differential equations.
Prerequisite(s): MATH 1242 or MATH 2120; Department of Mathematics and Statistics majors or minors, or permission of department. Pre- or Corequisite(s): MATH 2164. Focuses on the fundamentals of logical reasoning and mathematical proof-writing. Students will learn what a proof is in mathematics, how to analyze a proof for validity, and have practice writing their simple proofs. Students will also be exposed to mathematical programs, such as LaTex, and learn how to typeset their proofs. Topics covered include symbolic logic (such as truth tables & quantifiers), types of proof-writing (such as direct proofs, proofs by contrapositive, proofs by contradiction, counter-examples, and mathematical induction), and other basic concepts from set theory, relations, and functions (such as bijections). 744 | Course Descriptions MATH 2171. Differential Equations. (3) Prerequisite(s): MATH 1242 with grade of C or above. An introduction to ordinary differential equations including first order equations, general theory of linear equations, series solutions, special solutions, special equations such as Bessel's equation, and applications to physical and geometric problems. MATH 2241. Calculus III. (3) Prerequisite(s): MATH 1242 with grade of C or above. Functions of two or more variables, vectors in two and three dimensions, partial derivatives, optimization, double and triple integrals and their applications. MATH 2242. Calculus IV. (3) Prerequisite(s): MATH 2241 with grade of C or above. Parametric curves and surfaces, vector fields, line and surface integrals; Green’s theorem, Divergence theorem, Stoke’s theorem and applications. Fourier series and its applications.
Unrestricted Elective Courses, Double Major and/or Minor to Complete Requirements for Graduation Students must earn a minimum of 120 credit hours to graduate. This requirement can be fulfilled through a combination of elective courses, a minor, or a double major. The 120-credit minimum must be satisfied regardless of the specific academic path chosen (e.g., a minor combined with electives). Degree Total = 120 Credit Hours
MATH 3050Selected Topics in Mathematics. (2-3) Prerequisite(s)
Permission of department. Topics selected to supplement regular offerings at the 3000 level in mathematics or statistics. May be repeated for credit with permission of department.
Subject
MATH
Type
course
Repeatable
May be repeated for credit with permission of department.
Students lacking these mathematics courses will generally be allowed to take those courses at either the graduate or undergraduate level. At the Graduate Program Director’s discretion, a student may be permitted to take combined courses to meet multiple prerequisites. Although unlikely, it is possible that a student may enter the program without having taken a specific prerequisite or business core course but has, nevertheless, acquired the same skill and technical abilities that the course would
Prerequisite(s): MATH 3141. Continuity and differentiability of functions of several variables, inverse and implicit function theorems, integration, Fubini's theorem, change of variables, the classical integral theorems of Gauss, Green and Stokes and their generalizations.
Restricted Elective Courses (12 credit hours) Select 12 credit hours of approved courses from MATH, STAT, or OPRS at the 3000-level or above. Related Elective Courses or a Minor (18 credit hours) Select 18 credit hours of electives in related courses. Elective course should be chosen from related disciplines or an approved minor in another discipline. Courses that count toward this requirement must have a discipline prefix other than MATH, STAT, or OPRS. Students should select courses in consultation with the department and/or their advisor. Capstone Project (3-6 credit hours) Students must complete a Senior Project capstone. Alternatively, students may complete 6 credit hours towards an Honors project. For more information on the Honors Program in Mathematics, visit the program’s page.
MATH 3227Mathematical Theory of Interest and Applications3
Prerequisite(s): MATH 1242 or MATH 2120. The measurement of interest rates, equations of value, time value of money, basic and more general annuities, NPV and yield rates, loans and amortization schedules.
MATH 3500Mathematics Cooperative Education Experience
Prerequisite(s): Good standing with the University, completion of 30 credit hours at UNC Charlotte (transfer students are required to complete 12 credit hours), and permission of Department of Mathematics and Statistics. Students are employed in a manner that afford them the opportunity of using and enhancing mathematical knowledge and skills through practical experience of co-op rotation. Participating students pay a course registration fee for transcript notation. Assignments must be arranged and approved in advance. After completing MATH 3500, co- op students must take MATH 3652. The Cooperative Education Program is only open to undergraduate students; graduate level students are encouraged to contact their academic departments to inquire about academic or industrial internship options for credit. For more information, contact the University Career Center. Course may be repeated. Graded on a Satisfactory/Unsatisfactory basis.
MATH 3652Mathematics Cooperative Education Seminar1
Prerequisite(s): MATH 3500. Students give an exposition of their work experience in MATH 3500. An exposition of underlying theoretical concepts and related ideas may also be required.
Unrestricted Elective Courses, Double Major and/or Minor to Complete Requirements for Graduation Students must earn a minimum of 120 credit hours to graduate. This requirement can be fulfilled through a combination of elective courses, a minor, or a double major. The 120-credit minimum must be satisfied regardless of the specific academic path chosen (e.g., a minor combined with electives). Degree Total = 120 Credit Hours
MATH 3800Directed Individual Study in Mathematics. (1 to 3)
Prerequisite(s): MATH 1242 with grade of C or above; and permission from the department and credit hours established in advance. Supervised individual investigation of a topic in mathematics. Students must request permission for independent study from an individual faculty member. May be repeated for credit with change of topic.
MATH 4040Topics in Analysis. (2-3) Prerequisite(s): Permission of
department. Topics in analysis selected to supplement regular course offerings in this area of mathematics. May be repeated for credit with permission of department. Credit for the M.A. degree in Mathematics requires approval of the department.
Subject
MATH
Type
course
Repeatable
May be repeated for credit with permission of department.
MATH 4051Computer Exploration and Generation of Data3
Prerequisite(s): MATH 2120 or MATH 2241; and STAT 1220 or 2122 or STAT 3123; and STAT 2223 or STAT 3110. This is a project course. Grades are based on four to five projects that utilize spreadsheet technology. Includes an introduction to a major spreadsheet, such as Excel. Assigned projects may be selected from a range of topics that include: Data Analysis and Exploration; Dynamical Models and Difference Equations (Epidemics, Harvesting Models, Population Dynamics, Predator-Prey Models); Physical Models (projectile motion, including air resistance, orbits of celestial bodies, heat propagation); Combinatorics and Probability (birthday problem, genetics, simulation of distributions); Optimization (inventory control, apportionment algorithms); Financial Mathematics (Stock Price Simulation, Pricing of Derivatives); Business Simulations (Net Present Value Comparisons and Risk Evaluation, Sensitivity Analyses). Completed projects must include written descriptions, explanation, and evaluation along with appropriate working spreadsheets that accomplish the assigned objectives.
MATH 4080Topics in Geometry and Topology. (3) Prerequisite(s)
Permission of department. Topics in geometry or topology selected to supplement regular course offerings in this area of mathematics. May be repeated for credit with permission of department. Credit for M.A. degree in Mathematics requires approval of the department.
Subject
MATH
Type
course
Repeatable
May be repeated for credit with permission of department.
Statistics course (any STAT) Note: Students may double-count MATH 3181, MATH 4109, and STAT 3122 towards the Major Courses and the Required Courses for Teacher Licensure. Minor in Secondary Education (35 credit hours) For details on required courses, refer to the Minor in Secondary Education program. Students preparing to teach mathematics should choose MAED 4252 as their Methods Course. Note that the MAED 4252 prerequisites are MDSK 3100, MDSK 3151, MDSK 4210, and SECD 4140. 564 | Klein College of Science Unrestricted Elective Courses, Double Major and/or Minor to Complete Requirements for Graduation Students must earn a minimum of 120 credit hours to graduate. This requirement can be fulfilled through a combination of elective courses, a minor, or a double major. The 120-credit minimum must be satisfied regardless of the specific academic path chosen (e.g., a minor combined with electives).
MATH 4175Introduces the mathematical foundation of
optimization problems. The covered topics include basic elements of optimization theory and focus on unconstrained and constrained nonlinear optimization. Both mathematical analysis and coding skill training will be offered in this course.
Restricted Elective Courses (12 credit hours) Select 12 credit hours of approved courses from MATH, STAT, or OP at the 3000-level or above, including: One from the following:
MATH 4691Seminar I in Mathematics and Statistics. (1 to 3) Cross
listed Course(s): MATH 5691. Prerequisite(s): Permission of department. Individual or group investigation and exposition of selected topics in mathematics. Graded on a Pass/No Credit basis. May be repeated for credit with change of topic.
MATH 5040Topics in Analysis. (2 to 3) Prerequisite(s)
Permission of department. Topics in the foundations or the history of mathematics selected to supplement regular course offerings in this area of mathematics. May be repeated for credit with permission of department. Credit for the M.A. degree in mathematics requires approval of the department.
Subject
MATH
Type
course
Repeatable
May be repeated for credit with permission of department.
Prerequisite(s): Permission of department. Topics in geometry or topology selected to supplement regular course offerings in this area of mathematics. May be repeated for credit with permission of department. Credit for M.A. degree in mathematics requires approval of the department.
Subject
MATH
Credits (min)
3
Credits (max)
3
Type
course
Repeatable
May be repeated for credit with permission of department.
Prerequisite(s): MATH 1241 or permission of department. A study of the development of mathematics in its historical setting from the earliest beginnings to modern times. Not approved for the M.A. in mathematics degree.
Prerequisite(s): MATH 2171 and MATH 3142, or permission of department. Existence and uniqueness theorems for initial value problems; continuous dependence of solutions on initial values and right hand sides; linear differential equations in R2 and Rn; nonlinear differential equations in R2 and Rn: phase portraits, singularities, cycles; invariant manifolds; linearization; singularities of planar systems; Lyapunov stability; examples: van der Pol oscillator, Liénard systems, Volterra-Lotka equations.
Depth Elective Courses (9 credit hours) Students must complete at least 9 additional credit hours in 8000-level MATH courses, excluding MATH 8490, MATH 8891, MATH 8892, MATH 8994, and MATH 8999.
Cross-listed Course(s): MATH 4229. Prerequisite(s): MATH 4228 or MATH 5228 with grade of C or above; or permission of department. Advanced Long-Term Insurance; multiple state mortality - Markov Chains, multiple decrements probabilities and insurance, multiple lives probabilities and insurance, pension plans and retirement benefits, profit testing.
MATH 5691Seminar. (1 to 6) Cross-listed Course(s): MATH
4691. Prerequisite(s): Permission of department. Individual or group investigation and exposition of selected topics in mathematics. Graded on a Pass/Unsatisfactory basis. May be repeated for credit.
Cross-listed Course(s): EDCI 8102. Prerequisite(s): MATH 6101 and permission of department. A theoretical understanding of the basics of real analysis. Topics include: limits and continuity, derivatives, integrals, and Taylor series.
Methods. (3) Cross-listed Course(s): EDCI 8103. Prerequisite(s): Permission of department. Computer systems, programming, and the computer solution of numerical problems.
(3) Cross-listed Course(s): EDCI 8106. Prerequisite(s): MATH 3163 or its equivalent or permission of department. Topics chosen from group theory, rings and ideals, integral domains, fields and elementary Galois theory.
Prerequisite(s): MATH 2241 and MATH 2171 with grades of C or above, or permission of department. Power series solutions of ordinary differential equations, vector calculus, line and surface integrals, partial differential equations and Fourier integrals.
MATH 6201Statistical Techniques in Finance. (3) This
course reviews basic concepts and introduces more advanced techniques from Probability and Statistics which are commonly utilized in mathematical finance. Topics covered include random variables, distributions, conditional expectations, confidence intervals and hypothesis testing, simple and multiple regression, multivariate analysis including factor and canonical correlation analysis, and time series models including ARMA, ARIMA, ARCH, and GARCH.
MATH 7028Topics in Probability. (3) Prerequisite(s)
MATH 7120 and MATH 7121, or permission of department. Topics of current interest in probability and advanced topics in probability. May be repeated for credit with permission of department.
Subject
MATH
Type
course
Repeatable
May be repeated for credit with permission of department.
Prerequisite(s): Permission of department. Topics chosen from such fields as algebra, topology, analysis, applied mathematics, differential geometry, mathematical physics, graph theory, probability, statistics. May be repeated for credit with change of topic and with the approval of the department.
Subject
MATH
Type
course
Repeatable
May be repeated for credit with change of topic and with the approval of the department.
Prerequisite(s): Permission of department. Topics of current interest in numerical analysis. May be repeated for credit with permission of department. uate Catalog 2026-2027
Subject
MATH
Credits (min)
3
Credits (max)
3
Type
course
Repeatable
May be repeated for credit with permission of department.
Prerequisite(s): Permission of department. Topics of current interest in ODE, PDE, dynamical systems, inverse problems and related subjects. May be repeated for credit with permission of department.
Subject
MATH
Credits (min)
3
Credits (max)
3
Type
course
Repeatable
May be repeated for credit with permission of department.
MATH 7175Inverse Problems. (3) Prerequisite(s): MATH
5174 and MATH 7144, or permission of department. Ill- posed problems and numerical methods for them. Applications of inverse problems to real processes. One dimensional inverse problems. Multi-dimensional inverse problems: uniqueness and numerical methods. Inverse scattering problems.
Prerequisite(s): MATH 2164, MATH 2171, and MATH 5176, or permission of department. A selection of topics from such areas as iterative methods of solving linear and nonlinear systems of equations, approximation theory, splines, and finite element methods for partial differential equations.
MATH 7490Industrial Internship. (0 to 6) Prerequisite(s)
completion of 6 credit hours of coursework in MATH/STAT/OPRS graduate courses and permission of department. Full- or part-time academic year or summer internship in mathematics and/or statistics complementary to the student’s major course of study and designed to allow theoretical and course-based practical learning to be applied in a supervised industrial experience. Each student’s program must be approved by the department’s Graduate Program Director. Requires a mid-term report and final report to be graded by the supervising faculty. Graded on a Pass/Unsatisfactory basis. May be repeated for credit up to 6 credit hours. Credit hours gained from the internship may not be counted toward the courses leading to advancement to candidacy.
MATH 7891Independent Study in Mathematics. (1 to 3)
Prerequisite(s): Permission of department. Faculty-directed independent study of topics not provided by other course offerings and/or to examine, extend, and enrich extant knowledge in mathematics through supervised individual study. May be repeated for credit with change of topic.
MATH 7892Directed Project in Mathematics. (1 to 3)
Prerequisite(s): Permission of department. The directed independent project may be original work, work of an expository nature, or the mathematical formulation and solution of a particular problem of mathematical significance. The project may also involve a specific application of techniques identified in the literature or studied in other courses. The project must be defended in an oral presentation. May be repeated for credit up to 6 credit hours.
Mathematics or Application Elective Courses Select one Mathematics or suitable area of application course with the approval of the student's advisor. Directed Project (3 credit hours) All candidates for the degree concentration must complete three hours of a Directed Project in Mathematics course in which they carry out an independent project under the supervision of a member of the graduate faculty. The project could involve a specific application to a concrete problem of techniques identified in the literature or studied in other courses. All projects are subject to prior approval of the department Graduate Committee and must be successfully defended before a committee of three graduate faculty members appointed by the department Graduate Committee.
Prerequisite(s): Permission of department. Topics chosen from such fields as algebra, topology, analysis, applied mathematics, differential geometry, mathematical physics, graph theory, probability, statistics. May be repeated for credit with change of topic and with the approval of the department.
Subject
MATH
Type
course
Repeatable
May be repeated for credit with change of topic and with the approval of the department.
Prerequisite(s): MATH 2164, MATH 2171, and MATH 5176, or permission of department. A selection of topics from such areas as iterative methods of solving linear and nonlinear systems of equations, approximation theory, splines, and finite element methods for partial differential equations.
MATH 8202Partial Differential Equations for Finance3
Cross-listed Course(s): MATH 6202. This course deals with those partial differential equations which are associated with financial derivatives based on factors such as equities and spot interest rates.
Cross-listed Course(s): MATH 6204. Discusses and implements pricing methods for numerous derivatives under a variety of models. It reviews common processes for modeling assets in different markets and then examines many computational approaches for pricing derivatives. These include transform techniques, such as the fast Fourier transform, the fractional fast Fourier transform, the Fourier-cosine method, and the saddle-point method; the finite difference method for solving partial differential equations (PDEs); and Monte Carlo simulation. Model calibration for real-world derivative pricing is also discussed.
MATH 8206Stochastic Calculus for Finance II. (3) Cross
listed Course(s): MATH 6206. Prerequisite(s): MATH 8203 or permission of department. The applications of stochastic calculus techniques to advanced financial modeling. Topics include: pricing of European, American, and fixed-income derivatives in the Black-Scholes and stochastic volatility models. The Jump-diffusion model is also introduced.
Prerequisite(s): MATH 5172 and MATH 5174, or permission of department. Selection of topics from such areas of finite element analysis as convergence theorems (Ciarlet),
Elective Courses (12 credit hours) Students must complete at least 3 credit hours from the following MATH courses. Students are encouraged to include interdisciplinary elective courses in their program of study. These courses are generally expected to be in STEM disciplines, see examples below; however, courses in the social sciences may also be included if they are directly relevant to a student's dissertation work. While students may take more than three interdisciplinary electives, a maximum of 9 credit hours from such courses uate Catalog 2026-2027
MATH 8490Industrial Internship. (0 to 6) Prerequisite(s)
completion of 6 credit hours of coursework in MATH/STAT/OPRS graduate courses and permission of department. Full- or part-time academic year or summer internship in mathematics and/or statistics complementary to the student’s major course of study and designed to allow theoretical and course-based practical learning to be applied in a supervised industrial experience. Each student’s program must be approved by the department’s Graduate Program Director. Requires a mid-term report and final report to be graded by the supervising faculty. Graded on a Pass/Unsatisfactory basis. May be repeated for credit up to 6 credit hours. Credit hours gained from the internship may not be counted toward the courses leading to advancement to candidacy.
MATH 8891Independent Study in Mathematics. (1 to 3)
Prerequisite(s): Permission of department. Faculty-directed independent study of topics not provided by other course offerings and/or to examine, extend, and enrich extant knowledge in mathematics through supervised individual study. May be repeated for credit with change of topic.
MATH 8892Directed Project in Mathematics. (1 to 3)
Prerequisite(s): Permission of department. The directed independent project may be original work, work of an expository nature, or the mathematical formulation and solution of a particular problem of mathematical significance. The project may also involve a specific application of techniques identified in the literature or studied in other courses. The project must be defended in an oral presentation. May be repeated for credit up to 9 credit hours. duate Catalog 2026-2027
Prerequisite(s): Advancement to Candidacy. Individual investigation and research leading to the preparation of a doctoral dissertation. May be repeated for credit.
