Mathematics Courses

Courses of Instruction (MATH)

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Course Formats
ACE Outcomes
Prereqs:
One year high school algebra and appropriate score on the Math Placement Exam.
Credit earned in MATH 100A will not count toward degree requirements.
Review of the topics in a second-year high school algebra course taught at the college level. Includes: real numbers, 1st and 2nd degree equations and inequalities, linear systems, polynomials and rational expressions, exponents and radicals. Heavy emphasis on problem solving strategies and techniques.
This course is a prerequisite for: MATH 101
Credit Hours: 3
Course Delivery: Classroom
Groups: Introductory Mathematics Courses
MATH 101
Prereqs:
Appropriate placement exam score and either two years of high school algebra or a grade of P, C, or better in MATH 100A.
Real numbers, exponents, factoring, linear and quadratic equations, absolute value, inequalities, functions, graphing, polynominal and rational functions, exponential and logarithmic functions, systems of equations.
Credit Hours: 3
Course Delivery: Classroom
Groups: Introductory Mathematics Courses
MATH 102
Prereqs:
One year high school geometry and either two years high school algebra, one semester high school precalculus, and a qualifying score on the Math Placement Exam; or a grade of C, P, or better in MATH 101.
Credit toward the degree may be earned in only one of MATH 102 or 103.
Trigonometric functions, identities, trigonometric equations, solution of triangles, inverse trigonometric functions, and graphs.
Credit Hours: 2
Course Delivery: Classroom
Groups: Introductory Mathematics Courses
Prereqs:
Appropriate placement exam score, one year high school geometry, and two years high school algebra.
For students with previous college math courses, permission is also required.
First and second degree equations and inequalities, absolute value, functions, polynomial and rational functions, exponential and logarithmic functions, trigonometric functions and identities, laws of sines and cosines, applications, polar coordinates, systems of equations, graphing, conic sections.
This course is a prerequisite for: CHEM 109, CSCE 155A, CSCE 155E, CSCE 155H, CSCE 155N, CSCE 155T, MATH 106
Credit Hours: 5
Course Delivery: Classroom
Groups: Introductory Mathematics Courses
MATH 104
Prereqs:
Appropriate placement exam score or a grade of P (pass), or C or better in MATH 101.
Credit for both MATH 104 and 106 is not allowed.
Rudiments of differential and integral calculus with applications to problems from business, economics, and social sciences.
Credit Hours: 3
Course Delivery: Classroom, Web
ACE Outcomes: 3
Groups: Introductory Mathematics Courses
MATH 106
Prereqs:
One year high school geometry; two years algebra and one year precalculus-trig in high school, or MATH 102 or MATH 103 or equivalent.
Math Placement Policy applies. Credit for both MATH 104 and MATH 106 is not allowed.
Functions of one variable, limits, differentiation, exponential, trigonometric and inverse trigonometric functions, maximum-minimum, and basic integration theory (Riemann sums) with some applications.
Credit Hours: 5
Course Delivery: Classroom
ACE Outcomes: 3
Groups: Introductory Mathematics Courses
Prereqs:
One year high school geometry; two years high school algebra and one year high school precalculus-trigonometry, or MATH 102 or 103 or equivalent.
Math Placement Policy applies. Credit toward the degree may be earned in only one of: MATH 104, 106, 106B, or 108H. MATH 106B serves as a prerequisite for other courses in place of MATH 106 or 108H.
Functions of one variable, limits, differentiation, integration theory, fundamental theorem of calculus, with applications in the life sciences.
Credit Hours: 5
Course Format: Lecture, Recitation
Course Delivery: Classroom
ACE Outcomes: 3
Groups: Introductory Mathematics Courses
MATH 107
Prereqs:
A grade of P, C or better in MATH 106.
Integration theory; techniques of integration; applications of definite integrals; series, Taylor series, vectors, cross and dot products, lines and planes, space curves.
Credit Hours: 4
Course Format: Lecture 5
Course Delivery: Classroom
ACE Outcomes: 3
Groups: Introductory Mathematics Courses
Prereqs:
Good standing in the University Honors Program or by invitation; and a grade of "B" or better in MATH 106 or equivalent.
For course description, see MATH 107.
Credit Hours: 4
Course Format: Lecture 4
Course Delivery: Classroom
ACE Outcomes: 3
Groups: Introductory Mathematics Courses
Prereqs:
A grade of P, C or better in Math 106.
Open only to students who previously completed the 5 credit hour Math 107 at UNL and wish to improve their grade.
Integration theory, techniques of integration, applications of definite integrals, series, Taylor series, vectors, cross and dot products, lines and planes, space curves.
Credit Hours: 5
Course Format: Lecture 5
Course Delivery: Classroom
ACE Outcomes: 3
Prereqs:
Good standing in the University Honors Program or by invitation.
Accelerated calculus course covering MATH 106 and approximately one-half of MATH 107.
This course is a prerequisite for: CNST 306, ECON 215H, MATH 109H, MATH 238
Credit Hours: 5
Course Delivery: Classroom
ACE Outcomes: 3
Groups: Introductory Mathematics Courses
Prereqs:
Good standing in the University Honors Program or by invitation; MATH 108H.
Covers second half of MATH 107 and all of MATH 208.
This course is a prerequisite for: METR 433
Credit Hours: 5
Course Delivery: Classroom
ACE Outcomes: 3
Groups: Introductory Mathematics Courses
Prereqs:
Good standing in the University Honors Program or by invitation; placement score on the Math Placement Examination (MPE) at the MATH 104-level or above.
A University Honors Seminar 189H is required of all students in the University Honors Program.
Topics vary.
Credit Hours: 3
Course Delivery: Classroom
ACE Outcomes: 3
Groups: Introductory Mathematics Courses
MATH 198
Pass/No Pass only.
This course has no description.
Credit Hours: 1-3
Max credits per degree: 6
Course Format: Lecture
Course Delivery: Classroom
Groups: Seminars, Independent Study, Topics and Reading Courses
Prereqs:
Good standing in the University Honors Program or by invitation.
This course has no description.
Credit Hours: 1-3
Course Delivery: Classroom
Groups: Seminars, Independent Study, Topics and Reading Courses
Not open to students with credit or concurrent enrollment in MATH 106 or STAT 218.
Applications of quantitative reasoning and methods to problems and decision making in the areas of management, statistics, and social choice. Includes networks, critical paths, linear programming, sampling, central tendency, inference, voting methods, power index, game theory, and fair division problems.
Credit Hours: 3
Course Format: Lecture 3
Course Delivery: Classroom
ACE Outcomes: 3
Groups: Introductory Mathematics Courses
MATH 203J
MATH 203J is not open to students with credit in or with parallel enrollment MATH 106, MATH 203, or STAT 218.
Applications of quantitative reasoning and methods to problems and decisions making in areas of particular relevance to College of Journalism and Mass Communication, such as governance, finance, statistics, social choice, and graphical presentation of data. Financial mathematics, statistics and probability (sampling, central tendency, and inference), voting methods, power index, and fair division problems.
Credit Hours: 3
Course Format: Lecture 3
Course Delivery: Classroom
ACE Outcomes: 3
Groups: Introductory Mathematics Courses
MATH 208
Prereqs:
A grade of P, C or better in MATH 107.
Vectors and surfaces, parametric equations and motion, functions of several variables, partial differentiation, maximum-minimum, Lagrange multipliers, multiple integration, vector fields, path integrals, Green's Theorem, and applications.
Credit Hours: 4
Course Delivery: Classroom
ACE Outcomes: 3
Groups: Introductory Mathematics Courses
Prereqs:
Good standing in the University Honors Program or by invitation.
For course description, see MATH 208.
This course is a prerequisite for: METR 433
Credit Hours: 4
Course Delivery: Classroom
ACE Outcomes: 3
Groups: Introductory Mathematics Courses
MATH 221/821
Prereqs:
A grade of "P" or "C" or better in MATH 208/208H.
Not open to MA or MS students in mathematics or statistics.
First- and second-order methods for ordinary differential equations including: separable, linear, Laplace transforms, linear systems, and some applications.
Credit Hours: 3
Course Format: Lecture 3
Course Delivery: Classroom
ACE Outcomes: 3
Groups: Advanced Mathematics Courses
Prereqs:
Good standing in the University Honors Program or by invitation.
For course description, see MATH 221/821.
Credit Hours: 3
Course Delivery: Classroom
ACE Outcomes: 3
Groups: Advanced Mathematics Courses
Prereqs:
Grade of P, C, or better in MATH 106/106B or MATH 108H.
MATH 838 will not count toward a MA or MS degree in MATH or STAT. Some computation and visualizations in MATH 238/838 will be done with Matlab.
Mathematical modeling, discrete and continuous probability, parameter estimation, discrete and continuous dynamical systems, and Markov chains. Application of mathematical models in the life sciences. Methods include regression analysis, cobweb diagrams, the phase line, nullcline analysis, eigenvalue analysis, linearization, and likelihood analysis. Applications include fisheries, stage-structured populations, pharmacokinetics, epidemiology, and medical testing.
Credit Hours: 5
Course Format: Lecture 5
Course Delivery: Classroom
Groups: Advanced Mathematics Courses
Prereqs:
Parallel TEAC 308; admission to the College of Education and Human Sciences; removal of any mathematics entrance deficiencies.
Credit toward the degree may be earned in only one of: MATH 300, or MATH 300M. MATH 300 is designed for elementary education majors with mathematics as an area of concentration.
Numbers and operations. Develop an understanding of mathematics taught in the elementary school.
This course is a prerequisite for: MATH 301, SOCW 440, TEAC 297E, TEAC 308, TEAC 351
Credit Hours: 3
Course Delivery: Classroom
Groups: Introductory Mathematics Courses
Prereqs:
Admission to the College of Education and Human Sciences.
MATH 300M is open only to a middle grades teaching endorsement program student. Credit towards degree may be earned in only one of: MATH 300, or MATH 300M. MATH 300M is designed to strengthen the mathematics knowledge of the middle-level mathematics teacher.
Develop a deeper understanding of "number and operations". The importance of careful reasoning, problem solving, and communicating mathematics, both orally and in writing. Connections with other areas of mathematics and the need for developing the "habits of mind of a mathematical thinker".
Credit Hours: 3
Course Format: Lecture 3
Course Delivery: Classroom
Groups: Introductory Mathematics Courses
MATH 301
Prereqs:
MATH 300, with a grade of C or Pass or better.
Credit towards the degree may be earned in only one of: MATH 301. Designed for elementary education majors with mathematics as an area of concentration.
Geometry and measurement. Develop an understanding of geometry as taught in the elementary school.
Credit Hours: 3
Course Delivery: Classroom
Groups: Introductory Mathematics Courses
MATH 302
Prereqs:
Admission to the College of Education and Human Sciences.
Open only to middle grades teaching endorsement majors with a mathematics emphasis and/or to elementary education majors who want a mathematics concentration.
Using mathematics to model solutions or relationships for realistic problems taken from the middle school curriculum. The mathematics for these models are a mix of algebra, geometry, sequences (dynamical systems, queuing theory), functions (linear, exponential, logarithmic), and logic. Mathematical terminology, concepts and principles. Calculator based lab devices, graphing calculators, and computers as tools to collect data, to focus on concepts and ideas, and to made the mathematics more accessible.
Credit Hours: 3
Course Format: Lecture
Course Delivery: Classroom
Groups: Introductory Mathematics Courses
Prereqs:
Admission to the College of Education and Human Sciences.
Open only to middle grades teaching endorsement majors with a mathematics emphasis and/or to elementary education majors who want a mathematics concentration.
How to express mathematical solutions and ideas logically and coherently in both written and oral forms in the context of problem solving. Inductive and deductive logical reasoning skills through problem solving. Present and critique logical arguments in verbal and written forms. Problem topics taken from topics nationally recommended for middle school mathematics.
Credit Hours: 3
Course Format: Lecture
Course Delivery: Classroom
Groups: Introductory Mathematics Courses
Prereqs:
Admission to the College of Education and Human Sciences.
MATH 306 is open only to a middle school or elementary grades teaching endorsement program student.
Basic number theory results which are needed to understand the number theoretic RSA cryptography algorithm. Primes, properties of congruences, divisibility tests, linear Diophantine equations, linear congruences, Chinese Remainder Theorem, Wilson's Theorem, Fermat's Little Theorem, Euler's Theorem, and Euler's phi function. Integers with connections to the middle school curriculum and mathematical reasoning.
Credit Hours: 3
Course Format: Lecture 3
Course Delivery: Classroom
Groups: Introductory Mathematics Courses
Elementary number theory, including induction, the Fundamental Theorem of Arithmetic, and modular arithmetic. Introduction to rings and fields as natural extension of the integers.  Particular emphasis on the study of polynomials with coefficients in the rational, real, or complex numbers.
This course is a prerequisite for: MATH 350, MATH 408, MATH 409, MATH 415, MATH 417, MATH 445, MATH 450, MATH 452
Credit Hours: 3
Course Format: Lecture 3
Course Delivery: Classroom
ACE Outcomes: 3
Groups: Advanced Mathematics Courses
Prereqs:
Good standing in the University Honors Program or by invitation.
For course description, see MATH 310.
Credit Hours: 3
Course Delivery: Classroom
ACE Outcomes: 3
Groups: Advanced Mathematics Courses
Not open to MA or MS students in mathematics or statistics
Fundamental concepts of linear algebra from the point of view of matrix manipulation with emphasis on concepts that are most important in applications. Includes solving systems of linear equations, vector spaces, inner products, determinants, eigenvalues, similarity of matrices, and Jordan Canonical Form.
Credit Hours: 3
Course Delivery: Classroom
ACE Outcomes: 3
Groups: Advanced Mathematics Courses
Prereqs:
Good standing in the University Honors Program or by invitation.
For course description, see MATH 314.
Credit Hours: 3
Course Delivery: Classroom
ACE Outcomes: 3
Groups: Advanced Mathematics Courses
MATH 316
Case Studies in Theoretical EcologyCrosslisted as BIOS 316, NRES 316
Prereqs:
Permission.
Case studies are structured around preparation for subsequent independent research (BIOS 498 or MATH 496).
Introduction to biological literature, applied mathematics, computer programming, and/or statistical techniques relevant to particular questions in ecology, evolution, and behavior. Typical mathematical topics include discrete dynamics, systems of differential equations, matrix algebra, or statistical inference and probability.
Credit Hours: 3
Course Format: Lecture 3
Course Delivery: Classroom
Groups: Advanced Mathematics Courses
MATH 322/822
Not open to MA or MS students in mathematics or statistics
Uniform convergence of sequences and series of functions, Green's theorem, Stoke's theorem, divergence theorem, line integrals, implicit and inverse function theorems, and general coordinate transformations.
This course is a prerequisite for: MATH 456
Credit Hours: 3
Course Delivery: Classroom
Groups: Advanced Mathematics Courses
Prereqs:
Not open to MA or MS students in mathematics or statistics.
Derivation of the heat, wave, and potential equations; separation of variables method of solution; solutions of boundary value problems by use of Fourier series, Fourier transforms, eigenfunction expansions with emphasis on the Bessel and Legendre functions; interpretations of solutions in various physical settings.
Credit Hours: 3
Course Delivery: Classroom
Groups: Advanced Mathematics Courses
Introductory course emphasizing mastery of basic calculus concepts and the development of skill in constructing proofs. Includes mathematical induction, completeness of the real numbers, sequences and series, limits and continuity, derivatives, uniform convergence, Taylor's theorem, integration and the fundamental theorem of calculus.
This course is a prerequisite for: MATH 415, MATH 425, MATH 471, MATH 487
Credit Hours: 3
Course Delivery: Classroom
ACE Outcomes: 3
Groups: Advanced Mathematics Courses
MATH 340/840
Numerical Analysis ICrosslisted as CSCE 340/840
Prereqs:
Credit toward the degree may be earned in only one of the following: CSCE/MATH 340/840 and MECH 480/880.
Algorithm formulation for the practical solution of problems, interpolation, roots of equations, differentiation, and integration. Effects of finite precision.
This course is a prerequisite for: CSCE 447
Credit Hours: 3
Max credits per degree: 3
Course Format: Lecture 3
Course Delivery: Classroom
Groups: Advanced Mathematics Courses
Prereqs:
Open to MATH majors with degree option "E" and to students seeking a secondary mathematics teaching endorsement.
Modern elementary geometry, plane transformations and applications, the axiomatic approach, Euclidean constructions. Additional topics vary.
Credit Hours: 3
Course Format: Lecture
Course Delivery: Classroom
Groups: Introductory Mathematics Courses
MATH 380
Statistics and ApplicationsCrosslisted as STAT 380
Prereqs:
Credit toward the degree can not be earned in STAT 218 if taken after or taken in parallel with STAT/MATH 380.
Probability calculus; random variables, their probability distributions and expected values; t, F and chi-square sampling distributions; estimation; testing of hypothesis; and regression analysis with applications.
Credit Hours: 3
Course Format: Lecture 3
Course Delivery: Classroom
ACE Outcomes: 3
Groups: Advanced Mathematics Courses
Prereqs:
Sophomore standing and removal of all entrance deficiencies in mathematics.
MATH 394 is not intended for students who are required to take calculus. MATH 394 may be repeated if the subtitles differ. See the Schedule of Classes each term for the specific sections and subtitles offered.
Topics course for students in academic fields not requiring calculus. Emphasis on understanding and mathematical thinking rather than mechanical skills. Topic varies.
Credit Hours: 3
Max credits per semester: 6
Course Delivery: Classroom
Groups: Advanced Mathematics Courses
Prereqs:
Permission.
This course has no description.
Credit Hours: 1-24
Course Delivery: Classroom
Groups: Seminars, Independent Study, Topics and Reading Courses
Prereqs:
Prior arrangement with and permission of individual faculty member.
This course has no description.
Credit Hours: 1-24
Course Delivery: Classroom
Groups: Seminars, Independent Study, Topics and Reading Courses
MATH 399H
Prereqs:
For candidates for degrees with distinction, with high distinction, or with highest distinction in the College of Arts and Sciences.
This course has no description.
Credit Hours: 1-4
Course Delivery: Classroom
Groups: Seminars, Independent Study, Topics and Reading Courses
Prereqs:
MATH 314 or 314H recommended.
Credit is not allowed for both CSCE 235 and MATH 405. MATH 405 is not open to math majors except for dual matriculants in the College of Education and Human Sciences.
Graphs and networks. Map coloring. Finite differences. Pascal's triangle. The Pigeonholed Principle. Markov chains. Linear programming. Game Theory.
Credit Hours: 3
Course Format: Lecture 3
Course Delivery: Classroom
Groups: Advanced Mathematics Courses
Prereqs:
Analysis of the connections between college mathematics and high school algebra and precalculus.
Credit Hours: 3
Course Delivery: Classroom
Groups: Advanced Mathematics Courses
Prereqs:
Analysis of the connections between college mathematics and high school algebra and geometry.
Credit Hours: 3
Course Delivery: Classroom
Groups: Advanced Mathematics Courses
Prereqs:
Math 310, Math 314, Math 380/Stat 380
Not open to MA or MS students in Mathematics. This course is for students seeking a mathematics major under the Education Option and for students in CEHS who are seeking their secondary mathematics teaching certificate.
This course is designed around a series of projects in which students create mathematical models to examine the mathematics underlying several socially-relevant questions.
Credit Hours: 3
Course Format: Lecture 3
Course Delivery: Classroom
Prereqs:
Math 314/814 and either Math 325 or Math 310.
Topics fundamental to the study of linear transformations on finite and infinite dimensional vector spaces over the real and complex number fields including: subspaces, direct sums, quotient spaces, dual spaces, matrix of a transformation, adjoint map, invariant subspaces, triangularization and diagonalization. Additional topics may include: Riesz Representation theorem, projections, normal operators, spectral theorem, polar decomposition, singular value decomposition, determinant as an n-linear functional, Cayley-Hamilton theorem, nilpotent operators, and Jordan canonical form.
Credit Hours: 3
Course Format: Lecture 3
Course Delivery: Classroom
MATH 417
Prereqs:
Elementary group theory, including cyclic, dihedral, and permutation groups; subgroups, cosets, normality, and quotient groups; fundamental isomorphism theorems; the theorems of Cayley, Lagrange, and Cauchy; and if time allows, Sylow's theorems.
Credit Hours: 3
Course Format: Lecture
Course Delivery: Classroom
ACE Outcomes: 10
Groups: Advanced Mathematics Courses
Advanced introductory course for engineering, physical sciences, and mathematics majors. Complex numbers, functions of complex variables, analytic functions, complex integration, Cauchy's integral formulas, Taylor and Laurant series, calculus of residues and contour integration, conformal mappings, harmonic functions, and some applications.
Credit Hours: 3
Course Delivery: Classroom
Groups: Advanced Mathematics Courses
Prereqs:
MATH 325 or permission.
Real number system, topology of Euclidean space and metric spaces, compactness, sequences, series, convergence and uniform convergence, and continuity and uniform continuity.
Credit Hours: 3
Course Delivery: Classroom
Groups: Advanced Mathematics Courses
Prereqs:
Not open to mathematics majors. Not open to MA or MS students in mathematics.
Matrix operations, transformations, inverses, orthogonal matrices, rotations in space. Eigenvalues and eigenvectors, diagonalization, applications of diagonalization. Curvilinear coordinate systems, differential operations in curvilinear coordinate systems, Jacobians, changes of variables in multiple integration. Scalar, vector and tensor fields, tensor operations, applications or tensors. Complex function theory, integration by residues, conformal mappings.
Credit Hours: 3
Course Delivery: Classroom
Groups: Advanced Mathematics Courses
Prereqs:
MATH 314 and either STAT 380 or IMSE 321 or equivalent.
Introduction to techniques and applications of operations research. Includes linear programming, queueing theory, decision analysis, network analysis, and simulation.
Credit Hours: 3
Course Delivery: Classroom
ACE Outcomes: 10
Groups: Advanced Mathematics Courses
Prereqs:
Qualitative behaviour of solutions of systems of differential equations, including existence and uniqueness, extendibility, and periodic solutions. The Putzer algorithm, Floquet theory, matrix norms, linearization,stability theory, and period-doubling and chaos.
Credit Hours: 3
Course Format: Lecture 3
Course Delivery: Classroom
Groups: Advanced Mathematics Courses
MATH 432/832
Prereqs:
Mathematical theory of linear optimization, convex sets, simplex algorithm, duality, multiple objective linear programs, formulation of mathematical models.
Credit Hours: 3
Course Delivery: Classroom
Groups: Advanced Mathematics Courses
MATH 433/833
Prereqs:
Mathematical theory of constrained and unconstrained optimization, conjugate direction and quasi-Newton methods, convex functions, Lagrange multiplier theory, constraint qualifications.
Credit Hours: 3
Course Delivery: Classroom
Groups: Advanced Mathematics Courses
MATH 435
Prereqs:
Math 208 and at least two of Math 221, Math 314, Math 380.
A research experience modeling problems of current interest to the local community, businesses, or government.
Credit Hours: 3
Course Format: Lecture 3
Course Delivery: Classroom
ACE Outcomes: 10
Prereqs:
MATH 107 or permission.
MATH 439/839 has a small laboratory component.
Discrete and continuous models in ecology, population models, predation and food webs, the spread of infectious diseases and life histories. Probability and random processes in nature, elementary models for molecular events, and pharamacokinetics.
Credit Hours: 3
Course Delivery: Classroom
Groups: Advanced Mathematics Courses
MATH 441/841
Approximation of FunctionsCrosslisted as CSCE 441/841
Prereqs:
A programming language, MATH 221 and 314.
Polynomial interpolation, uniform approximation, orthogonal polynomails, least-first-power approximation, polynomial and spline interpolation, approximation and interpolation by rational functions.
Credit Hours: 3
Course Format: Lecture 3
Course Delivery: Classroom
Groups: Advanced Mathematics Courses
Prereqs:
MATH 221 and 314, or their equivalents.
Derivation, analysis, and interpretation of mathematical models for problems in the physical and applied sciences. Scaling and dimensional analysis. Asymptotics, including regular and singular perturbation methods and asymptotic expansion of integrals. Calculus of variations.
Credit Hours: 3
Course Delivery: Classroom
Groups: Advanced Mathematics Courses
Prereqs:
Arithmetic functions, congruences, reciprocity theorem, primitive roots, Diophantine equations, and continued fractions.
Credit Hours: 3
Course Format: Lecture 3
Course Delivery: Classroom
Groups: Advanced Mathematics Courses
MATH 447/847
Numerical Analysis IICrosslisted as CSCE 447/847
Prereqs:
Numberical matrix methods and numerical solutions of ordinary differntial equations.
Credit Hours: 3
Course Format: Lecture 3
Course Delivery: Classroom
Groups: Advanced Mathematics Courses
MATH 450
Prereqs:
Theory of enumeration and/or existence of arrangements of objects: Pigeonhole principle, inclusion-exclusion, recurrence relations, generating functions, systems of distinct representatives, combinatorial designs and other applications.
This course is a prerequisite for: MATH 452
Credit Hours: 3
Course Format: Lecture 3
Course Delivery: Classroom
Groups: Advanced Mathematics Courses
MATH 452
Prereqs:
MATH 450, or permission and either MATH 310 or 310H or 325.
Selected applications.
Theory of directed and undirected graphs. Trees, circuits, subgraphs, matrix representations, coloring problems, and planar graphs. Methods which can be implemented by computer algorithms.
Credit Hours: 3
Course Format: Lecture 3
Course Delivery: Classroom
Groups: Advanced Mathematics Courses
Prereqs:
Introduction to a selection of topics in modern differential manifolds, vector bundles, vector fields, tensors, differential forms, Stoke's theorem, Riemannian and semi-Riemannian metrics, Lie Groups, connections, singularities. Includes gauge field theory, catastrophe theory, general relativity, fluid flow.
Credit Hours: 3
Course Format: Lecture 3
Course Delivery: Classroom
Groups: Advanced Mathematics Courses
Semantical and syntactical developments of propositional logic, discussion of several propositional calculi, applications to Boolean algebra and related topics, semantics and syntax of first-order predicate logic including Godel's completeness theorem, the compactness theorem.
Credit Hours: 3
Course Format: Lecture 3
Course Delivery: Classroom
Groups: Advanced Mathematics Courses
Prereqs:
Math 314 and either Math 325 or 310.
Elementary point-set and geometric topology. Point-set topics include topological spaces, continuous functions, homeomorphisms, connectedness, compactness, quotient spaces. Geometric topology topics include Euler characteristic, classification of surfaces, and other applications.
Credit Hours: 3
Course Format: Lecture 3
Course Delivery: Classroom
MATH 487/887
Prereqs:
Math 314 and Math 325.
Probability, conditional probability, Bayes' theorem, independence, discrete and continuous random variables, density and distribution functions, multivariate distributions, probability and moment generating functions, the central limit theorem, convergence of sequences of random variables, random walks, Poisson processes. and applications.
Credit Hours: 3
Course Format: Lecture 3
Course Delivery: Classroom
Prereqs:
MATH 221/821, and/or STAT/MATH 380 or STAT 880.
Properties of stochastic processes and solutions of stochastic differential equations as a means of understanding modern financial instruments. Derivation and modeling of financial instruments, advanced financial models, advanced stochastic processes, partial differential equations, and numerical methods from a probabilistic point of view.
Credit Hours: 3
Course Format: Lecture 3
Course Delivery: Classroom
ACE Outcomes: 10
Groups: Advanced Mathematics Courses
MATH 495
Prereqs:
MATH 208 or 208H; and permission.
This course has no description.
Credit Hours: 1-3
Max credits per degree: 6
Course Format: Lecture
Course Delivery: Classroom
Groups: Seminars, Independent Study, Topics and Reading Courses
MATH 496/896
Prereqs:
Permission.
This course has no description.
Credit Hours: 1-3
Max credits per degree: 6
Course Delivery: Classroom
Groups: Seminars, Independent Study, Topics and Reading Courses
MATH 497
Prereqs:
Senior standing and especially qualified Juniors; and permission.
This course has no description.
Credit Hours: 1-4
Max credits per degree: 4
Course Delivery: Classroom
Groups: Seminars, Independent Study, Topics and Reading Courses
Prereqs:
Admission to the MAT or MScT program in mathematics or to a graduate program in the College of Education and Human Sciences
Number and operations. Place value and its role in arithmetic operations. Development of fractions and number systems. Develop the habits of mind of a mathematical thinker and to develop a depth of understanding of number and operations sufficient to enable the teacher to be a disciplinary resource for other K-3 teachers.
Credit Hours: 3
Course Format: Lecture 3
Campus:
Course Delivery: Classroom
Prereqs:
Admission to the MAT or MScT program in mathematics or to a graduate program in the College of Education and Human Sciences
MATH 800T is intended for mid-level mathematics teachers.
Numbers and operations. Careful reasoning, problem solving, and communicating mathematics both orally and in writing. Connections with other areas of mathematics. Development of mathematical thinking habits.
Credit Hours: 3
Campus:
Course Delivery: Classroom
Prereqs:
Admission to the MAT or MScT program in mathematics or to a graduate program in the College of Education and Human Sciences
Polygons, polyhedra, rigid motions, symmetry, congruence, similarity, measurement in one, two and three dimensions, functions, mathematical expressions, solving equations, sequences. Develop the habits of mind of a mathematical thinker and to develop a depth of understanding of geometry, measurement and algebraic thinking to enable the teacher to be a disciplinary resource for other K-3 teachers.
Credit Hours: 3
Course Format: Lecture 3
Campus:
Course Delivery: Classroom
Prereqs:
Admission to the MAT or MScT program in mathematics or to a graduate program in the College of Education and Human Sciences.
MATH *802P will not count toward the MA or MS degree in mathematics or statistics.
Number sense and operations in the context of rational numbers, geometry and algebra in grades 4-6 curriculum, and how the mathematical content in grades K-3 (e.g., Taylor-Cox, 2003) lays a foundation for abstract thinking beginning in grades 4 and beyond. Designed to develop a depth of understanding sufficient to enable the teacher to be a disciplinary resource to other K-3 teachers.
Credit Hours: 3
Course Format: Lecture 3
Campus:
Course Delivery: Classroom
Prereqs:
Admission to the MAT or MScT program in mathematics or to a graduate program in the College of Education and Human Sciences
MATH *802T is intended for mid-level mathematics teachers.
Variables and functions. Use of functions in problem solving. Theory of measurement, especially length, area, and volume. Geometric modeling in algebra. Graphs, inverse functions, linear and quadratic functions, the fundamental theorem of arithmetic, modular arithmetic, congruence and similarity. Ways these concepts develop across the middle level curriculum.
Credit Hours: 3
Campus:
Course Delivery: Classroom
Prereqs:
A valid elementary or early childhood teaching certificate, or permission.
Not open to MA or MS students in mathematics or statistics.
Course explores the mathematics supporting algebraic thinking in elementary mathematics.  Develops a deeper understanding of algebraic properties and greater flexibility in mathematical reasoning.  Case studies, video segments, and student work samples will be examined.  Complex mathematical problems will be worked with connections made between participants' thinking and that of their students.
Credit Hours: 3
Course Format: Lecture
Course Delivery: Classroom
Prereqs:
A valid elementary or early childhood teaching certificate, or permission.
Not open to MA or MS students in mathematics or statistics.
Course uses problem-solving experiences to develop teachers' critical-thinking skills in order to build a strong foundation for teaching and communicating mathematical concepts. Provides a guided opportunity for the implementation of problem-solving instruction is aligned with the Mathematics Standards in both the primary (K-2) and intermediate (3-5) elementary classroom.
Credit Hours: 3
Course Format: Lecture
Course Delivery: Classroom
Prereqs:
Admission to the MAT or MScT program in mathematics or to a graduate program in the College of Education and Human Sciences
MATH *804T is intended for middle-level mathematics teachers.
Problem solving, reasoning and proof, and communicating mathematics. Development of problem solving skills through the extensive resources of the American Mathematics Competitions. Concepts of logical reasoning in the context of geometry, number patterns, probability and statistics
Credit Hours: 3
Campus:
Course Delivery: Classroom
Prereqs:
Admission to the MAT-MScT program in MATH or to a graduate program in the College of Education and Human Sciences
MATH *805T is intended for mid-level mathematics teachers.
Concepts of discrete mathematics, as opposed to continuous mathematics, which extend in directions beyond, but related to, topics covered in middle-level curricula. Problems which build upon middle-level mathematics experiences. Logic, mathematical reasoning, induction, recursion, combinatorics, matrices, and graph theory.
Credit Hours: 3
Course Format: Lecture 3
Campus:
Course Delivery: Classroom
Prereqs:
Admission to the MAT or MScT program in mathematics or to a graduate program in the College of Education and Human Sciences
MATH *806T is intended for mid-level mathematics teachers.
Basic number theory results and the RSA cryptography algorithm. Primes, properties of congruences, divisibility tests, linear Diophantine equations, linear congruences, the Chinese Remainder Theorem, Wilson’s Theorem, Fermat’s Little Theorem, Euler’s Theorem, and Euler’s phi-function. Mathematical reasoning and integers’ connections to the middle school curriculum.
Credit Hours: 3
Campus:
Course Delivery: Classroom
Prereqs:
Analysis of the connections between college mathematics and high school algebra and precalculus.
Credit Hours: 3
Campus:
Course Delivery: Classroom
Prereqs:
Admission to the MAT-MScT program in MATH or to a graduate program in the College of Education and Human Sciences
MATH *807T is intended for middle-level mathematics teachers.
The mathematics underlying several socially-relevant questions from a variety of academic disciplines. Construct mathematical models of the problems and study them using concepts developed from algebra, linear and exponential functions, statistics and probability. Original documentation, such as government data, reports and research papers, in order to provide a sense of the role mathematics plays in society, both past and present.
Credit Hours: 3
Course Format: Lecture 3
Campus:
Course Delivery: Classroom
Prereqs:
Analysis of the connections between college mathematics and high school algebra and geometry.
Credit Hours: 3
Campus:
Course Delivery: Classroom
Prereqs:
Admission to the MAT-MScT program in MATH or to a graduate program in the College of Education and Human Sciences
MATH *808T is intended for middle-level mathematics teachers.
The processes of differentiation and integration, their applications and the relationship between the two processes. Rates of change, slopes of tangent lines, limits, derivatives, extrema, derivatives of products and quotients, anti-derivatives, areas, integrals, and the Fundamental Theorem of Calculus. Connections to concepts in the middle level curriculum.
Credit Hours: 3
Course Format: Lecture 3
Campus:
Course Delivery: Classroom
Prereqs:
Admission to the MAT or MScT program in mathematics or to a graduate program in the College of Education and Human Sciences
The integers. The Euclidean algorithm, the Fundamental Theorem of Arithmetics, and the integers mod n. Polynomials with coefficients in a field. The division algorithm, the Euclidean algorithm, the unique factorization theorem, and its applications. Polynomials whose coefficients are rational, real or complex. Polynomial interpolation. The habits of mind of a mathematical thinker. The conceptual underpinnings of school algebra.
Credit Hours: 3
Course Format: Lecture 3
Campus:
Course Delivery: Classroom
Prereqs:
A valid secondary mathematics teaching certificate or by permission.
Course examines mathematics underlying pre-calculus material through problem solving. Connections to other topics in mathematics, including algebra, geometry and advanced mathematics are highlighted.
Credit Hours: 3
Course Format: Lecture 3
Course Delivery: Classroom
Prereqs:
A valid secondary mathematics teaching certificate.
Course examines mathematics underlying high school geometry through problem solving. Topics include Spherical, Euclidean and Hyperbolic geometry, introduction to Neutral geometry, Platonic and Archimedean solids and projective geometry.
Credit Hours: 3
Course Format: Lecture 3
Course Delivery: Classroom
Prereqs:
An undergraduate course in at least one of statistics, differential equations or matrix algebra; a valid secondary mathematics teaching certificate.
A modeling course run in collaboration with area businesses or organizations in which real world problems are studied. Course emphasizes how mathematics is used outside academia.
Credit Hours: 3
Course Format: Lecture 3
Course Delivery: Classroom
Prereqs:
Topics from elementary group theory and ring theory, including fundamental isomorphism theorems, ideals, quotient rings, domains. Euclidean or principal ideal rings, unique factorization, modules and vector spaces including direct sum decompositions, bases, and dual spaces.
Credit Hours: 3
Course Format: Lecture 3
Campus:
Course Delivery: Classroom
Prereqs:
Topics from field theory including Galois theory and finite fields and from linear transformations including characteristic roots, matrices, canonical forms, trace and transpose, and determinants.
Credit Hours: 3
Campus:
Course Delivery: Classroom
Prereqs:
Math 208 and evidence of adequate preparation.
A term paper and/or project is required for graduate credit.  Not open to graduate students in Mathematics.  Students in the sciences and Statistics cannot count MATH 820 toward a minor in Mathematics.
A mathematical introduction to elementary analysis (the calculus). Specifically, it is a demanding course that introduces concepts in abstraction: the axiomatic method, proofs, and mathematical thinking and writing in the context of elementary real analysis, or the theory underlying calculus. Specific topics include: logic, sets, functions; the real number system (field and order axioms, completeness axiom); mathematical induction; limits of sequences and functions, convergence, and continuity; the derivative and Riemann integral.
Credit Hours: 3
Course Format: Lecture 3
Course Delivery: Classroom
Prereqs:
Real number system, topology of Euclidean space and metric spaces, continuous functions, derivatives and the mean value theorem, the Riemann and Riemann-Stieltjes integral, convergence, the uniformity concept, implicit functions, line and surface integrals.
Credit Hours: 3
Course Format: Lecture 3
Campus:
Course Delivery: Classroom
Prereqs:
Real number system, topology of Euclidean space and metric spaces, continuous functions, derivatives and the mean value theorem, the Riemann and Riemann-Stieltjes integral, convergence, the uniformity concept, implicit functions, line and surface integrals.
Credit Hours: 3
Course Format: Lecture 3
Campus:
Course Delivery: Classroom
Prereqs:
The Picard existence theorem, linear equations and linear systems, Sturm separation theorems, boundary value problems, phase plane analysis, stability theory, limit cycles and periodic solutions.
Credit Hours: 3
Course Format: Lecture 3
Campus:
Course Delivery: Classroom
Prereqs:
The Picard existence theorem, linear equations and linear systems, Sturm separation theorems, boundary value problems, phase plane analysis, stability theory, limit cycles and periodic solutions.
Credit Hours: 3
Course Format: Lecture 3
Campus:
Course Delivery: Classroom
Prereqs:
MATH 821 and 814, or their equivalents
Interdependence between mathematics and the physical and applied sciences. Includes the calculus of variations, scaling and dimensional analysis, regular and singular perturbation methods.
Credit Hours: 3
Campus:
Course Delivery: Classroom
Prereqs:
MATH 842 or permission
Application of partial differential equation models to problems in the physical and applied sciences. Includes derivation of partial differential equations, the theory of continuous media, linear and nonlinear wave propagation, diffusion, transform methods, and potential theory.
Credit Hours: 3
Campus:
Course Delivery: Classroom
Prereqs:
Enumeration of standard combinatorial objects (subsets, partitions, permutations). Structure and existence theorems for graphs and sub-graphs. Selected classes of error-correcting codes. Extremal combinatorics of graphs, codes, finite sets and posets.
Credit Hours: 3
Course Format: Lecture 3
Campus:
Course Delivery: Classroom
Prereqs:
MATH *850
Enumeration of standard combinatorial objects (subsets, partitions, permutations). Structure and existence theorems for graphs and sub-graphs. Selected classes of error-correcting codes. Extremal combinatorics of graphs, codes, finite sets and posets.
Credit Hours: 3
Course Format: Lecture 3
Campus:
Course Delivery: Classroom
Prereqs:
Introduction to a selection of topics in differentiable manifolds, smooth maps, vector fields and vector bundles, embeddings and immersions, differential forms, integration on manifolds, and applications.
Credit Hours: 3
Course Format: Lecture 3
Campus:
Course Delivery: Classroom
Prereqs:
Selected topics in some branch of geometry.
Credit Hours: 3
Campus:
Course Delivery: Classroom
MATH 871
Prereqs:
Topological spaces, continuous functions, product and quotient spaces, compactness and connectedness, homotopy, fundamental groups.
Credit Hours: 3
Course Format: Lecture 3
Campus:
Course Delivery: Classroom
MATH 872
Prereqs:
Fundamental groups and the van Kampen theorem, covering spaces and the Galois correspondence, applications to groups, homology and the Mayer-Vietoris theorem.
Credit Hours: 3
Course Format: Lecture 3
Campus:
Course Delivery: Classroom
MATH *874M may be counted towards the MAT and MScT degrees in mathematics and statistics, not the MA, MS, or PhD.
This course has no description.
Credit Hours: 2-3
Campus:
Course Delivery: Classroom
MATH 897
This course has no description.
Credit Hours: 1-4
Course Format: Lecture
Campus:
Course Delivery: Classroom
MATH 899
Prereqs:
Admission to masters degree program and permission of major adviser
This course has no description.
Credit Hours: 6-10
Campus:
Course Delivery: Classroom
MATH 901
Prereqs:
MATH 818 or permission
In-depth treatment of groups, rings, modules, algebraic field extensions, Galois theory, multilinear products, categories.
Credit Hours: 3
Campus:
Course Delivery: Classroom
MATH 902
Prereqs:
MATH 818 or permission
In-depth treatment of groups, rings, modules, algebraic field extensions, Galois theory, multilinear products, categories.
Credit Hours: 3
Campus:
Course Delivery: Classroom
Prereqs:
MATH 818 or permission
Selected topics from classical ideal theory, Dedekind rings, completions, local rings, valvation theory.
Credit Hours: 3
Campus:
Course Delivery: Classroom
Prereqs:
MATH 818 or permission
Selected topics from semigroups of transformations, ideal structure and homomorphisms, free semigroups, inverse semigroups, matrix representation, decompositions and extensions.
Credit Hours: 3
Campus:
Course Delivery: Classroom
MATH 911
Basic topics of infinite and finite group theory from among geometric, combinatorial, and algorithmic group theory, homology of groups, solvable and nilpotent groups and representation theory.
Credit Hours: 3-6
Max credits per degree: 18
Course Format: Lecture 3
Campus:
Course Delivery: Classroom
Prereqs:
Elementary ring theory and examples of rings, the Jacobson radical and the structure of semi-simple rings, rings with minimum condition, Wedderburn’s theorem, structure of modules.
Credit Hours: 3
Campus:
Course Delivery: Classroom
Prereqs:
MATH 902 or permission
Basic topics in homological algebra, including homology of complexes, extensions, tensor and torsion products and homological dimension, with application to rings and algebras.
Credit Hours: 3
Campus:
Course Delivery: Classroom
This course has no description.
Credit Hours: 3
Max credits per degree: 18
Course Format: Lecture
Campus:
Course Delivery: Classroom
MATH 921
Prereqs:
MATH 818, 826, and 871 or permission
Semicontinuity, equicontinuity, absolute continuity, metric spaces, compact spaces, Ascoli’s theorem, Stone Weierstrass theorem, Borel and Lebesque measures, measurable functions, Lebesque integration, convergence theorems, Lp spaces, general measure and integration theory, Radon-Nikodyn theorem, Fubini theorem, Lebesque-Stieltjes integration.
Credit Hours: 3
Campus:
Course Delivery: Classroom
MATH 922
Prereqs:
MATH 818, 826, and 871 or permission
Semicontinuity, equicontinuity, absolute continuity, metric spaces, compact spaces, Ascoli’s theorem, Stone Weierstrass theorem, Borel and Lebesque measures, measurable functions, Lebesque integration, convergence theorems, Lp spaces, general measure and integration theory, Radon-Nikodyn theorem, Fubini theorem, Lebesque-Stieltjes integration.
Credit Hours: 3
Campus:
Course Delivery: Classroom
This course has no description.
Credit Hours: 3
Max credits per degree: 18
Course Format: Lecture
Campus:
Course Delivery: Classroom
Prereqs:
MATH 826 or permission
Complex number field, elementary functions, analytic functions, conformal mapping, integration and calculus of residues, entire and meromorphic functions, higher transcendental functions, Riemann surfaces.
Credit Hours: 3
Campus:
Course Delivery: Classroom
Prereqs:
MATH 826 or permission
Complex number field, elementary functions, analytic functions, conformal mapping, integration and calculus of residues, entire and meromorphic functions, higher transcendental functions, Riemann surfaces.
Credit Hours: 3
Campus:
Course Delivery: Classroom
Methods for approximating the solutions of differential equations, including local analysis near singular points, singular perturbation methods, boundary layer theory, WKB Theory, and multiple-scale methods. Asymptotic expansion of Laplace and Fourier integrals. Illustration of the use of asymptotics from journals in mathematics, science, and engineering.
Credit Hours: 3
Campus:
Course Delivery: Classroom
Prereqs:
MATH 818 and 921, or permission
Banach and Hilbert Spaces, linear operators and functionals, completely continuous operators, spectral theory, integral equations.
Credit Hours: 3
Campus:
Course Delivery: Classroom
Prereqs:
MATH 818 and 921, or permission
Banach and Hilbert Spaces, linear operators and functionals, completely continuous operators, spectral theory, integral equations.
Credit Hours: 3
Campus:
Course Delivery: Classroom
Prereqs:
MATH 826 or permission
Cauchy-Peano existence theorems, continuity and differentiability of solutions with respect to initial conditions, differential inequalities, uniqueness theorem, oscillation theory, Poincare-Bendixson theory, stability theory, almost periodic solutions.
Credit Hours: 3
Campus:
Course Delivery: Classroom
Prereqs:
MATH 826 or permission
Cauchy-Peano existence theorems, continuity and differentiability of solutions with respect to initial conditions, differential inequalities, uniqueness theorem, oscillation theory, Poincare-Bendixson theory, stability theory, almost periodic solutions.
Credit Hours: 3
Campus:
Course Delivery: Classroom
This course has no description.
Credit Hours: 6
Max credits per degree: 18
Course Format: Lecture
Campus:
Course Delivery: Classroom
Prereqs:
Banach and Hilbert spaces, operator theory with application to differential and integral equations; spectral theory for compact, self-adjoint operators.
Credit Hours: 3
Campus:
Course Delivery: Classroom
Prereqs:
MATH 935 or permission
Distributions, Green’s functions and boundary value problems; integral transforms and spectral representations.
Credit Hours: 3
Campus:
Course Delivery: Classroom
Prereqs:
MATH 843 or 941 or permission
Nonlinear wave propagation and shock structure with applications, dispersive waves, hyperbolic systems, group velocity and the method of stationary phase. WKB approximation and perturbation methods.
Credit Hours: 3
Campus:
Course Delivery: Classroom
Prereqs:
MATH 842, 843 and permission
Advanced course in mathematical modeling for students who desire experience in formulating and analyzing open-ended, real-world problems in the natural and applied sciences. Participation in a few group projects that require conceptualization and analytical, numerical, and graphical analysis with formal oral and written presentation of the results.
Credit Hours: 3
Campus:
Course Delivery: Classroom
This course has no description.
Credit Hours: 3
Max credits per degree: 18
Course Format: Lecture
Campus:
Course Delivery: Classroom
Prereqs:
Theory of hyperbolic, elliptic, and parabolic equations. Classification, existence and uniqueness result, solution representations.
Credit Hours: 3
Campus:
Course Delivery: Classroom
MATH 942
Numerical Analysis IIICrosslisted as CSCE 942
Prereqs:
CSCE/MATH 840 or 841 or 847 or permission
Advanced topics in numerical analysis.
Credit Hours: 3
Campus:
Course Delivery: Classroom
Prereqs:
MATH 901-902
Affine geometry, coordinate rings, the Zariski topology, function fields and birational geometry, the Nullstellensatz, Krull dimension and transcendence degree, smoothness, projective geometry, divisors, curves.
Credit Hours: 3
Campus:
Course Delivery: Classroom
This course has no description.
Credit Hours: 3
Max credits per degree: 18
Course Format: Lecture
Campus:
Course Delivery: Classroom
This course has no description.
Credit Hours: 3
Max credits per degree: 18
Course Format: Lecture
Campus:
Course Delivery: Classroom
MATH 995
This course has no description.
Credit Hours: 1-3
Max credits per degree: 6
Course Format: Lecture
Campus:
Course Delivery: Classroom
MATH 996
Advanced topics in one or more branches of mathematics.
Credit Hours: 1-3
Max credits per degree: 6
Campus:
Course Delivery: Classroom
MATH 997
This course has no description.
Credit Hours: 1-24
Campus:
Course Delivery: Classroom
Prereqs:
Admission to doctoral degree program and permission of supervisory committee chair
This course has no description.
Credit Hours: 1-24
Campus:
Course Delivery: Classroom