Mathematics Courses
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MATH 100A

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 secondyear 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.Trigonometric functions, identities, trigonometric equations, solution of triangles, inverse trigonometric functions, and graphs.
Credit Hours: 2 Course Delivery: Classroom Groups: Introductory Mathematics Courses 
MATH 103

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.
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.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:Functions of one variable, limits, differentiation, exponential, trigonometric and inverse trigonometric functions, maximumminimum, and basic integration theory (Riemann sums) with some applications.This course is a prerequisite for: BIOS 456, BSEN 225, BSEN 355, CEEN 103, CHEM 111, CHEM 113, CHEM 471, CHME 114, CIVE 221, CIVE 252, CNST 241, CNST 252, CNST 306, CSCE 156, CSCE 156H, CSCE 235, CSCE 235H, ECON 215, ECON 215H, GEOG 458, GEOL 372, GEOL 410, GEOL 472, MATH 107, MATH 107H, MATH 107R, MATH 238, MECH 220, METR 205, METR 415, METR 483, MRKT 341, NRES 408, NRES 453, NRES 469, NRES 488, PHYS 211, PHYS 211H
Credit Hours: 5 Course Delivery: Classroom ACE Outcomes: 3 Groups: Introductory Mathematics Courses 
MATH 106B

Prereqs: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 
MATH 107H

MATH 107R

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 
MATH 108H

Prereqs:Good standing in the University Honors Program or by invitation.

MATH 109H

MATH 189H

Prereqs:Good standing in the University Honors Program or by invitation; placement score on the Math Placement Examination (MPE) at the MATH 104level 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: 13 Max credits per degree: 6 Course Format: Lecture Course Delivery: Classroom Groups: Seminars, Independent Study, Topics and Reading Courses 
MATH 198H

Prereqs:Good standing in the University Honors Program or by invitation.This course has no description.
Credit Hours: 13 Course Delivery: Classroom Groups: Seminars, Independent Study, Topics and Reading Courses 
MATH 203

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

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, maximumminimum, 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 
MATH 221/821

Not open to MA or MS students in mathematics or statistics.First and secondorder methods for ordinary differential equations including: separable, linear, Laplace transforms, linear systems, and some applications.This course is a prerequisite for: BSEN 303, BSEN 311, BSEN 317, BSEN 344, BSEN 350, CEEN 213, CEEN 328, CHME 312, CHME 434, CHME 462, CIVE 310H, CIVE 326, CIVE 326H, CIVE 327, CIVE 401, CSCE 441, CSCE 447, ELEC 216, ELEC 304, ELEC 306, ELEC 442, IMSE 328, MATH 424, MATH 427, MATH 430, MATH 435, MATH 442, MATH 456, MATH 489, MATL 472, MECH 310, MECH 330, MECH 381, MECH 416, MECH 449, MECH 454, MECH 475, MECH 480, METR 312, PHYS 311, PHYS 422, PHYS 451
Credit Hours: 3 Course Format: Lecture 3 Course Delivery: Classroom ACE Outcomes: 3 Groups: Advanced Mathematics Courses 
MATH 221H

MATH 238/838

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, stagestructured populations, pharmacokinetics, epidemiology, and medical testing.
Credit Hours: 5 Course Format: Lecture 5 Course Delivery: Classroom Groups: Advanced Mathematics Courses 
MATH 300

Prereqs:Parallel TEAC 308; admission to the College of Education and Human Sciences; removal of any mathematics entrance deficiencies.

MATH 300M

Prereqs:Admission to the College of Education and Human Sciences.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 
MATH 310

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.
Credit Hours: 3 Course Format: Lecture 3 Course Delivery: Classroom ACE Outcomes: 3 Groups: Advanced Mathematics Courses 
MATH 310H

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 
MATH 314/814

Not open to MA or MS students in mathematics or statisticsFundamental concepts of linear algebra, including properties of matrix arithmetic, systems of linearequations, vector spaces, inner products, determinants, eigenvalues and eigenvectors, and diagonalization.
Credit Hours: 3 Course Delivery: Classroom ACE Outcomes: 3 Groups: Advanced Mathematics Courses 
MATH 314H

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 316Case Studies in Theoretical EcologyCrosslisted as BIOS 316, NRES 316

Prereqs:Permission.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 statisticsUniform 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 
MATH 325

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.
Credit Hours: 3 Course Delivery: Classroom ACE Outcomes: 3 Groups: Advanced Mathematics Courses 
MATH 350

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 380Statistics and ApplicationsCrosslisted as STAT 380

Probability calculus; random variables, their probability distributions and expected values; t, F and chisquare 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 
MATH 394

Prereqs:Sophomore standing and removal of all entrance deficiencies in mathematics.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 
MATH 398

Prereqs:Permission.This course has no description.
Credit Hours: 124 Course Delivery: Classroom Groups: Seminars, Independent Study, Topics and Reading Courses 
MATH 399

Prereqs:Prior arrangement with and permission of individual faculty member.This course has no description.
Credit Hours: 124 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: 14 Course Delivery: Classroom Groups: Seminars, Independent Study, Topics and Reading Courses 
MATH 405

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:Math 310, Math 314, Math 380/Stat 380Not 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 sociallyrelevant questions.
Credit Hours: 3 Course Format: Lecture 3 Course Delivery: Classroom 
MATH 415/815

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 nlinear functional, CayleyHamilton 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 
MATH 423/823

Complex numbers, functions of complex variables, analytic functions, complex integration, Cauchy's integral formulas, Taylor and Laurent series, calculus of residues and contour integration, conformal mappings, harmonic functions. Applications of these concepts in engineering, physical sciences, and mathematics
Credit Hours: 3 Course Delivery: Classroom Groups: Advanced Mathematics Courses 
MATH 424/824

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 Format: Lecture 3 Course Delivery: Classroom Groups: Advanced Mathematics Courses 
MATH 425

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 
MATH 427/827

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 
MATH 428/828

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 
MATH 430

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 perioddoubling and chaos.
Credit Hours: 3 Course Format: Lecture 3 Course Delivery: Classroom Groups: Advanced Mathematics Courses 
MATH 432/832

MATH 433/833

Mathematical theory of unconstrained and constrained optimization for nonlinear multivariate functions, particularly iterative methods, such as quasiNewton methods, least squares optimization, and convex programming. Computer implementation of these methods.
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 
MATH 439/839

Prereqs:MATH 107 or permission.Discrete and continuous models in ecology: population models, predation, food webs, the spread of infectious diseases, and life histories. Elementary biochemical reaction kinetics; random processes in nature. Use of software for computation and graphics.
Credit Hours: 3 Course Delivery: Classroom Groups: Advanced Mathematics Courses 
MATH 440/840Numerical Analysis ICrosslisted as CSCE 840/440

Principles of numerical computing and error analysis covering numerical error, root finding, systems of equations, interpolation, numerical differentiation and integration, and differential equations. Modeling realworld engineering problems on digital computers. Effects of floating point arithmetic.
Credit Hours: 3 Max credits per degree: 3 Course Format: Lecture 3 Course Delivery: Classroom Groups: Advanced Mathematics Courses 
MATH 441/841Approximation of FunctionsCrosslisted as CSCE 441/841

Polynomial interpolation, uniform approximation, orthogonal polynomails, leastfirstpower 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 
MATH 442

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 
MATH 445/845

Fundamentals of number theory, including congruences, primality tests, factoring methods. Diophantine equations, quadratic reciprocity, continued fractions, and elliptic curves.
Credit Hours: 3 Course Format: Lecture 3 Course Delivery: Classroom Groups: Advanced Mathematics Courses 
MATH 447/847Numerical Analysis IICrosslisted as CSCE 447/847

MATH 450

Theory of enumeration and/or existence of arrangements of objects: Pigeonhole principle, inclusionexclusion, 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

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 
MATH 456

Introduction to a selection of topics in modern differential manifolds, vector bundles, vector fields, tensors, differential forms, Stoke's theorem, Riemannian and semiRiemannian 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 
MATH 465/865

Semantical and syntactical developments of propositional logic, discussion of several propositional calculi, applications to Boolean algebra and related topics, semantics and syntax of firstorder predicate logic including Godel's completeness theorem, the compactness theorem.
Credit Hours: 3 Course Format: Lecture 3 Course Delivery: Classroom Groups: Advanced Mathematics Courses 
MATH 471

Prereqs:Math 314 and either Math 325 or 310.Elementary pointset and geometric topology. Pointset 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 
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

MATH 496/896

Prereqs:Permission.This course has no description.
Credit Hours: 13 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: 14 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 SciencesNumber 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 K3 teachers.
Credit Hours: 3 Course Format: Lecture 3 Campus: Course Delivery: Classroom 
MATH 800T

Prereqs:Admission to the MAT or MScT program in mathematics or to a graduate program in the College of Education and Human SciencesMATH 800T is intended for midlevel 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 SciencesPolygons, 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 K3 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 46 curriculum, and how the mathematical content in grades K3 (e.g., TaylorCox, 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 K3 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 SciencesMATH *802T is intended for midlevel 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 problemsolving experiences to develop teachers' criticalthinking skills in order to build a strong foundation for teaching and communicating mathematical concepts. Provides a guided opportunity for the implementation of problemsolving instruction is aligned with the Mathematics Standards in both the primary (K2) and intermediate (35) 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 SciencesMATH *804T is intended for middlelevel 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 MATMScT program in MATH or to a graduate program in the College of Education and Human SciencesMATH *805T is intended for midlevel mathematics teachers.Concepts of discrete mathematics, as opposed to continuous mathematics, which extend in directions beyond, but related to, topics covered in middlelevel curricula. Problems which build upon middlelevel 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 SciencesMATH *806T is intended for midlevel 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 phifunction. Mathematical reasoning and integers’ connections to the middle school curriculum.
Credit Hours: 3 Campus: Course Delivery: Classroom 
Prereqs:Admission to the MATMScT program in MATH or to a graduate program in the College of Education and Human SciencesMATH *807T is intended for middlelevel mathematics teachers.The mathematics underlying several sociallyrelevant 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:Admission to the MATMScT program in MATH or to a graduate program in the College of Education and Human SciencesMATH *808T is intended for middlelevel 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, antiderivatives, 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 
MATH 810T

Prereqs:Admission to the MAT or MScT program in mathematics or to a graduate program in the College of Education and Human SciencesThe 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 
MATH 811T

Prereqs:A valid secondary mathematics teaching certificate or by permission.Course examines mathematics underlying precalculus 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 
MATH 812T

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 
MATH 816T

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 
MATH 817

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 
MATH 818

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 
MATH 820

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 
MATH 825

Prereqs:Real number system, topology of Euclidean space and metric spaces, continuous functions, derivatives and the mean value theorem, the Riemann and RiemannStieltjes integral, convergence, the uniformity concept, implicit functions, line and surface integrals.
Credit Hours: 3 Course Format: Lecture 3 Campus: Course Delivery: Classroom 
MATH 826

Prereqs:Real number system, topology of Euclidean space and metric spaces, continuous functions, derivatives and the mean value theorem, the Riemann and RiemannStieltjes integral, convergence, the uniformity concept, implicit functions, line and surface integrals.
Credit Hours: 3 Course Format: Lecture 3 Campus: Course Delivery: Classroom 
MATH 830

Prereqs:Phase diagrams, bifurcation theory, linear systems, the matrix exponential function, Floquet theory, stability theory, existence (PoincareBendixson Theorem) and nonexistence of periodic solutions for nonlinear ordinary differential equations, selfadjoint equations, and SturmLiouville theory.
Credit Hours: 3 Course Format: Lecture 3 Campus: Course Delivery: Classroom 
MATH 831

Prereqs:Vector calculus, transport equations, Laplace's equation, the heat equation, the wave equation, maximum principles, meanvalue formulae, finite speed of propagation, energy methods, solution representations.
Credit Hours: 3 Course Format: Lecture 3 Campus: Course Delivery: Classroom 
MATH 842

MATH 843

Prereqs:MATH 842 or permissionApplication 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 
MATH 850

Enumeration of standard combinatorial objects (subsets, partitions, permutations). Structure and existence theorems for graphs and subgraphs. Selected classes of errorcorrecting codes. Extremal combinatorics of graphs, codes, finite sets and posets.
Credit Hours: 3 Course Format: Lecture 3 Campus: Course Delivery: Classroom 
MATH 852

Prereqs:MATH *850Enumeration of standard combinatorial objects (subsets, partitions, permutations). Structure and existence theorems for graphs and subgraphs. Selected classes of errorcorrecting codes. Extremal combinatorics of graphs, codes, finite sets and posets.
Credit Hours: 3 Course Format: Lecture 3 Campus: Course Delivery: Classroom 
MATH 856

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 
MATH 858

Prereqs:Selected topics in some branch of geometry.
Credit Hours: 3 Campus: Course Delivery: Classroom 
MATH 871

MATH 872

MATH 874M

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: 23 Campus: Course Delivery: Classroom 
MATH 897

This course has no description.
Credit Hours: 14 Course Format: Lecture Campus: Course Delivery: Classroom 
MATH 899

Prereqs:Admission to masters degree program and permission of major adviserThis course has no description.
Credit Hours: 610 Campus: Course Delivery: Classroom 
MATH 901

Prereqs:MATH 818 or permissionIndepth 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 permissionIndepth treatment of groups, rings, modules, algebraic field extensions, Galois theory, multilinear products, categories.
Credit Hours: 3 Campus: Course Delivery: Classroom 
MATH 905

Prereqs:MATH 818 or permissionSelected topics from classical ideal theory, Dedekind rings, completions, local rings, valvation theory.
Credit Hours: 3 Campus: Course Delivery: Classroom 
MATH 909

Prereqs:MATH 818 or permissionSelected 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: 36 Max credits per degree: 18 Course Format: Lecture 3 Campus: Course Delivery: Classroom 
MATH 913

Prereqs:Elementary ring theory and examples of rings, the Jacobson radical and the structure of semisimple rings, rings with minimum condition, Wedderburn’s theorem, structure of modules.
Credit Hours: 3 Campus: Course Delivery: Classroom 
MATH 915

Prereqs:MATH 902 or permissionBasic 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 
MATH 918

This course has no description.
Credit Hours: 6 Max credits per degree: 18 Course Format: Lecture Campus: Course Delivery: Classroom 
MATH 921

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, RadonNikodyn theorem, Fubini theorem, LebesqueStieltjes integration.
Credit Hours: 3 Campus: Course Delivery: Classroom 
MATH 922

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, RadonNikodyn theorem, Fubini theorem, LebesqueStieltjes integration.
Credit Hours: 3 Campus: Course Delivery: Classroom 
MATH 923

This course has no description.
Credit Hours: 3 Max credits per degree: 18 Course Format: Lecture Campus: Course Delivery: Classroom 
MATH 924

Prereqs:MATH 826 or permissionComplex 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 
MATH 925

Prereqs:MATH 826 or permissionComplex 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 multiplescale 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 
MATH 928

MATH 929

Prereqs:MATH 826 or permissionCauchyPeano existence theorems, continuity and differentiability of solutions with respect to initial conditions, differential inequalities, uniqueness theorem, oscillation theory, PoincareBendixson theory, stability theory, almost periodic solutions.
Credit Hours: 3 Campus: Course Delivery: Classroom 
Prereqs:MATH 826 or permissionCauchyPeano existence theorems, continuity and differentiability of solutions with respect to initial conditions, differential inequalities, uniqueness theorem, oscillation theory, PoincareBendixson theory, stability theory, almost periodic solutions.
Credit Hours: 3 Campus: Course Delivery: Classroom 
MATH 934

This course has no description.
Credit Hours: 3 Max credits per degree: 18 Course Format: Lecture Campus: Course Delivery: Classroom 
Prereqs:MATH 935 or permissionDistributions, Green’s functions and boundary value problems; integral transforms and spectral representations.
Credit Hours: 3 Campus: Course Delivery: Classroom 
MATH 938

Advanced course in mathematical modeling for students who desire experience in formulating and analyzing openended, realworld 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 
MATH 939

This course has no description.
Credit Hours: 3 Max credits per degree: 18 Course Format: Lecture Campus: Course Delivery: Classroom 
MATH 941

Prereqs:Theory of hyperbolic, elliptic, and parabolic equations. Classification, existence and uniqueness result, solution representations.
Credit Hours: 3 Campus: Course Delivery: Classroom 
MATH 942Numerical Analysis IIICrosslisted as CSCE 942

MATH 953

Prereqs:MATH 901902Affine 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 
MATH 958

This course has no description.
Credit Hours: 6 Max credits per degree: 18 Course Format: Lecture Campus: Course Delivery: Classroom 
MATH 990

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: 13 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: 13 Max credits per degree: 6 Campus: Course Delivery: Classroom 
MATH 997

This course has no description.
Credit Hours: 124 Campus: Course Delivery: Classroom 
MATH 999

Prereqs:Admission to doctoral degree program and permission of supervisory committee chairThis course has no description.
Credit Hours: 124 Campus: Course Delivery: Classroom