MATH Courses

Filter these Courses

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.
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.
This course is a prerequisite for: BLAW 372, CIVE 221, CIVE 252, MATH 238, METR 205, METR 483
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.
This course is a prerequisite for: ASTR 204, ASTR 405, CEEN 224, METR 454, MRKT 341, STAT 380, STAT 462, STAT 880, STAT 882
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.
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 223, 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 MATH 203J.
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
Prereqs: Must be admitted to the College of Journalism.
Not open to students with credit or concurrent enrollment in MATH 106 or MATH 203.
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.
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.
This course is a prerequisite for: CEEN 213, ELEC 216, ELEC 304, MATH 430, MATH 456, METR 880, METR 924
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.
This course is a prerequisite for: CHEM 471
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, TEAC 308
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
Math 300 is a strongly recommended prerequisite.  Math 302 is intended for 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 3
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
Prereqs: MATH 208.
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
Prereqs: Good standing in the University Honors Program or by invitation.
For course description, see MATH 310.
This course is a prerequisite for: MATH 445, MATH 450
Credit Hours: 3
Course Delivery: Classroom
ACE Outcomes: 3
Groups: Advanced Mathematics Courses
MATH 314/814
Prereqs: MATH 208.
Not open to MA or MS students in mathematics or statistics
Fundamental 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 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 314.
This course is a prerequisite for: MATH 405, MATH 456
Credit Hours: 3
Course Delivery: Classroom
ACE Outcomes: 3
Groups: Advanced Mathematics Courses
MATH 316
Case Studies in Theoretical Ecology Crosslisted 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, METR 965
Credit Hours: 3
Course Delivery: Classroom
Groups: Advanced Mathematics Courses
Prereqs: MATH 208.
An introduction to mathematical reasoning, construction of proofs, and careful mathematical writing in the context of continuous mathematics and calculus. Topics may include the real number system, limits and continuity, the derivative, integration, and compactness in terms of the real number system.
Credit Hours: 3
Course Delivery: Classroom
ACE Outcomes: 3
Groups: Advanced Mathematics Courses
Prereqs: MATH 310.
NOT open to MATH majors EXCEPT those under degree option "E" who are seeking a secondary mathematics teaching endorsement.
Modern elementary geometry, plane transformations and applications, the axiomatic approach, Euclidean constructions. Additional topics vary.
This course is a prerequisite for: MATH 408, MATH 808
Credit Hours: 3
Course Format: Lecture
Course Delivery: Classroom
Groups: Introductory Mathematics Courses
MATH 380
Statistics and Applications Crosslisted as STAT 380
Prereqs: MATH 107 or 107H.
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.
This course is a prerequisite for: CEEN 435, IMSE 406, MATH 489, STAT 414, STAT 450
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. NOT open to MATH majors EXCEPT those under degree option "E" who are seeking a secondary mathematics teaching endorsement.
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 208 and 310.
NOT open to MATH majors EXCEPT those under degree option "E" who are seeking a secondary mathematics teaching endorsement.
Analysis of the connections between college mathematics and high school algebra and precalculus.
Credit Hours: 3
Course Delivery: Classroom
Groups: Advanced Mathematics Courses
Prereqs: MATH 310 and 350.
NOT open to MATH majors EXCEPT those under degree option "E" who are seeking a secondary mathematics teaching endorsement.
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: MATH 310.
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.
This course is a prerequisite for: MATH 817, MATH 871, MATH 872
Credit Hours: 3
Course Format: Lecture
Course Delivery: Classroom
ACE Outcomes: 10
Groups: Advanced Mathematics Courses
MATH 423/823
Prereqs: Math 208.
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 Format: Lecture 3
Course Delivery: Classroom
Groups: Advanced Mathematics Courses
Prereqs: MATH 221.
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
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: MATH 221.
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: MATH 221 or 221H, and either MATH 310 or MATH 325.
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: MATH 314/814 and MATH 310 or MATH 325.
Mathematical theory of linear optimization, convex sets, simplex algorithm, duality, multiple objective linear programs, formulation of mathematical models.
Credit Hours: 3
Course Format: Lecture 3
Course Delivery: Classroom
Groups: Advanced Mathematics Courses
MATH 433/833
Prereqs: MATH 314/814 and MATH 310 or MATH 325.
Mathematical theory of unconstrained and constrained optimization for nonlinear multivariate functions, particularly iterative methods, such as quasi-Newton methods, least squares optimization, and convex programming.  Computer implementation of these methods.
Credit Hours: 3
Course Format: Lecture 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, 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 440/840
Numerical Analysis I Crosslisted as CSCE 840/440
Prereqs: CSCE 155A, CSCE 155E, CSCE 155H, CSCE 155N, or CSCE 155T; Math 107.
Credit toward the degree may be earned in only one of the following: CSCE/MATH 440/840 and MECH 480/880.
Principles of numerical computing and error analysis covering numerical error, root finding, systems of equations, interpolation, numerical differentiation and integration, and differential equations. Modeling real-world engineering problems on digital computers. Effects of floating point arithmetic.
This course is a prerequisite for: CSCE 942
Credit Hours: 3
Max credits per degree: 3
Course Format: Lecture 3
Course Delivery: Classroom
Groups: Advanced Mathematics Courses
MATH 441/841
Approximation of Functions Crosslisted 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
MATH 445/845
Prereqs: MATH 310 or 310H.
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 447/847
Numerical Linear Algebra Crosslisted as CSCE 447/847
Prereqs: MATH 314
Mathematics and algorithms for numerically stable matrix and linear algebra computations, including solution of linear systems, computation of eigenvalues and eigenvectors, singular value decomposition, and QR decomposition.
Credit Hours: 3
Course Format: Lecture 3
Course Delivery: Classroom
Groups: Advanced Mathematics Courses
MATH 450
Prereqs: MATH 310 or 310H or 325.
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.
Credit Hours: 3
Course Format: Lecture 3
Course Delivery: Classroom
Groups: Advanced Mathematics Courses
MATH 452
Prereqs: MATH 310 or MATH 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: MATH 221 or 221H; MATH 314 or 314H; and MATH 322.
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.
This course is a prerequisite for: MATH 856
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
Groups: Advanced Mathematics Courses
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

Attention

This is the site for old bulletin data. Please head to UNL's Course Catalog for updated course and program information.

Attention

This is the site for old bulletin data. Please head to UNL's Course Catalog for updated course and program information.