*Prerequisites: One year high school algebra and appropriate score on the Math Placement Exam *

*Credit earned in MATH 100A will not count toward degree requirements. *

**Description:** 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.

*Prerequisites: Appropriate placement exam score and either two years of high school algebra or a grade of P, C, or better in MATH 100A *

**Description:** Real numbers, exponents, factoring, linear and quadratic equations, absolute value, inequalities, functions, graphing, polynomial and rational functions, exponential and logarithmic functions, system of equations.

*Prerequisites: 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 *

**Description:** Trigonometric functions, identities, trigonometric equations, solution of triangles, inverse trigonometric functions and graphs.

*Prerequisites: 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 *

*For students with previous college math courses, permission is also required. *

**Description:** 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.

*Prerequisites: Appropriate placement exam score or a grade of P (pass), or C or better in MATH 101 *

**Description:** Rudiments of differential and integral calculus with applications to problems from business, economics, and social sciences.

This course is a prerequisite for: ABUS 341, MRKT 341; ACCT 200; ACCT 308; ACCT 309; ACCT 313; AGRO 361, GEOL 361, NRES 361, SOIL 361, WATS 361; AGRO 472, AGRO 872, NRES 472, NRES 872, SOIL 472, WATS 472; BLAW 371; BLAW 371H; BLAW 372; BSEN 355; ECON 215; ECON 215H; ECON 311; FINA 361; FINA 361H; FORS 411; MATH 104; METR 100; MNGT 301; MNGT 301H; MRKT 341H, RAIK 341H; SCMA 331; SCMA 335; SCMA 350; SCMA 350H

*Prerequisites: One year high school geometry; two years algebra and one year precalculus-trigonometry in high school or MATH 102 or Math 103 or equivalent *

*Credit for both MATH 104 and Math 106 is not allowed. Math Placement Policy applies. *

**Description:** Functions of one variable, limits, differentiation, exponential, trigonometric and inverse trigonometric functions, maximum-minimum, and basic integration theory (Riemann sums) with some applications.

This course is a prerequisite for: ABUS 341, MRKT 341; ACCT 200; ACCT 308; ACCT 309; ACCT 313; AGEN 225, BSEN 225; AGRO 361, GEOL 361, NRES 361, SOIL 361, WATS 361; AGRO 472, AGRO 872, NRES 472, NRES 872, SOIL 472, WATS 472; BLAW 371; BLAW 371H; BLAW 372; BSEN 355; CHME 114; CNST 241; CNST 252; CNST 306; CSCE 235, CSCE 235H; ECON 215; ECON 215H; ECON 311; FINA 361; FINA 361H; FORS 411; MATH 106; MATH 107; MATH 107H; METR 100; MNGT 301; MNGT 301H; MRKT 341H, RAIK 341H; SCMA 331; SCMA 335; SCMA 350; SCMA 350H

*Prerequisites: A grade of P, C or better in MATH 106 *

**Description:** Integration theory; techniques of integration; applications of definite integrals; series, Taylor series, vectors, cross and dot products, lines and planes, space curves.

This course is a prerequisite for: ABUS 341, MRKT 341; ACCT 200; ASTR 204; BLAW 371; BLAW 371H; BLAW 372; CHME 202; CHME 331; ECEN 211; ECEN 224; ECON 215; ECON 311; FINA 361; FINA 361H; MATH 107; MATH 208; MATH 380, MATH 380H, STAT 380, STAT 380H, RAIK 270H; MECH 223; METR 100; METR 223; MNGT 301; MNGT 301H; MRKT 341H, RAIK 341H; SCMA 331; SCMA 335; SCMA 350; SCMA 350H

*Prerequisites: Good standing in the University Honors Program or by invitation; and a grade of "B" or better in MATH 106 or equivalent *

**Description:** For course description, see MATH 107.

This course is a prerequisite for: ABUS 341, MRKT 341; ACCT 200; BLAW 371; BLAW 371H; CHME 202; CHME 331; ECEN 211; ECEN 224; ECON 311; FINA 361; FINA 361H; MATH 208; MATH 380, MATH 380H, STAT 380, STAT 380H, RAIK 270H; MECH 223; METR 100; METR 223; MNGT 301; MNGT 301H; MRKT 341H, RAIK 341H; SCMA 331; SCMA 335; SCMA 350; SCMA 350H

*Prerequisites: 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. *

**Description:** Integration theory, techniques of integration, applications of definite integrals, series, Taylor series, vectors, cross and dot products, lines and planes, space curves.

*Prerequisites: 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. *

*Topics vary. A University Honors Seminar 189H is required of all students in the University Honors Program. *

This course is a prerequisite for: METR 100

This course is a prerequisite for: METR 100

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

This course is a prerequisite for: METR 100

**Description:** 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. Not open to students with credit or concurrent enrollment in MATH 106 or MATH 203J.

*Prerequisites: Must be admitted to the College of Journalism *

**Description:** 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.

*Prerequisites: A grade of P, C or better in MATH 107 *

**Description:** 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.

This course is a prerequisite for: ABUS 341, MRKT 341; ACTS 401; BLAW 371; BLAW 371H; BLAW 372; ECEN 215; ECEN 306; ECEN 328; ECON 311; FINA 361; FINA 361H; MATH 208; MATH 310; MATH 325; MATH 435; MECH 321; MECH 325H; MECH 373; MECH 373H; MECH 421, MECH 821, ENGR 421; MNGT 301; MNGT 301H; MRKT 341H, RAIK 341H; SCMA 331; SCMA 335; SCMA 350; SCMA 350H; STAT 462

*Prerequisites: Good standing in the University Honors Program or by invitation *

**Description:** 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.

This course is a prerequisite for: ABUS 341, MRKT 341; ACTS 401; BLAW 371; BLAW 371H; BLAW 372; ECEN 215; ECEN 306; ECEN 328; ECON 311; FINA 361; FINA 361H; MATH 208; MATH 310; MATH 325; MATH 435; MECH 321; MECH 325H; MECH 373; MECH 373H; MECH 421, MECH 821, ENGR 421; MNGT 301; MNGT 301H; MRKT 341H, RAIK 341H; SCMA 331; SCMA 335; SCMA 350; SCMA 350H; STAT 462

*Prerequisites: A grade of P or C; or better in MATH 208/208H *

**Description:** First- and second-order methods for ordinary differential equations including: separable, linear, Laplace transforms, linear systems, and some applications.

This course is a prerequisite for: AGEN 344, BSEN 344; AGEN 957, BSEN 957, CIVE 957, GEOL 957; BSEN 311; BSEN 317; BSEN 326, CIVE 326; CHME 835; CIVE 310; CIVE 310H; ECEN 213; ECEN 304; ECEN 306; ECEN 328; MATH 430; MATH 442; MECH 310, MECH 310H; MECH 381; MECH 925; MECH 933; MECH 936; MECH 938; METR 312

*Prerequisites: Good standing in the University Honors Program or by invitation *

**Description:** For course description, see MATH 221/821.

*Prerequisites: 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. *

**Description:** 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.

*Prerequisites: Parallel TEAC 308 or Parallel TEAC 416D; 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.. *

**Description:** Numbers and operations. Develop an understanding of mathematics taught in the elementary school.

This course is a prerequisite for: TEAC 308

*Prerequisites: Admission to the College of Education and Human Sciences. *

*MATH 300M is designed to strengthen the mathematics knowledge of the middle-level mathematics teacher. 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. *

**Description:** 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".

*Prerequisites: MATH 300, with a grade of C or Pass or better. *

*Designed for elementary education majors with mathematics as an area of concentration. Credit towards the degree may be earned in only one of: MATH 301. *

**Description:** Geometry and measurement. Develop an understanding of geometry as taught in the elementary school.

**Description:** 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. 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.

*Prerequisites: Admission to the College of Education and Human Sciences. *

**Description:** 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.

*Prerequisites: Admission to the College of Education and Human Sciences. *

**Description:** 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.

*Prerequisites: MATH 208 *

**Description:** 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.

*Prerequisites: MATH 208 *

*Not open to MA or MS students in mathematics or statistics *

**Description:** Fundamental concepts of linear algebra, including properties of matrix arithmetic, systems of linearequations, vector spaces, inner products, determinants, eigenvalues and eigenvectors, and diagonalization.

*Prerequisites: Permission. *

**Description:** 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. Case studies are structured around preparation for subsequent independent research (BIOS 498 or MATH 496).

**Description:** 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: METR 965

*Prerequisites: MATH 208 *

**Description:** 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.

*Prerequisites: MATH 310 *

*NOT open to MATH majors EXCEPT those under degree option "E" who are seeking a secondary mathematics teaching endorsement. *

**Description:** Modern elementary geometry, plane transformations and applications, the axiomatic approach, Euclidean constructions. Additional topics vary.

This course is a prerequisite for: MATH 408

**Description:** 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.

**Description:** 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.

*Prerequisites: Sophomore standing and removal of all entrance deficiencies in mathematics. *

**Description:** Topics course for students in academic fields not requiring calculus. Emphasis on understanding and mathematical thinking rather than mechanical skills. Topic varies.

*Prerequisites: Permission. *

*Prerequisites: Prior arrangement with and permission of individual faculty member. *

*Prerequisites: For candidates for degrees with distinction, with high distinction, or with highest distinction in the College of Arts and Sciences. *

*NOT open to MATH majors EXCEPT those under degree option "E" who are seeking a secondary mathematics teaching endorsement. Credit is not allowed for both CSCE 235 and MATH 405. *

**Description:** Graphs and networks. Map coloring. Finite differences. Pascal's triangle. The Pigeonholed Principle. Markov chains. Linear programming. Game Theory.

*Prerequisites: 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. *

**Description:** Designed around a series of projects in which students create mathematical models to examine the mathematics underlying several socially-relevant questions.

*Prerequisites: Math 314/814 and either Math 325 or Math 310 *

**Description:** 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.

*Prerequisites: MATH 310 *

**Description:** 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.

*Prerequisites: Math 221 or Math 325. *

**Description:** 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.

*Prerequisites: MATH 221 *

*Not open to MA or MS students in mathematics or statistics. *

**Description:** 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.

*Prerequisites: MATH 325 or permission *

**Description:** Real number system, topology of Euclidean space and metric spaces, compactness, sequences, series, convergence and uniform convergence, and continuity and uniform continuity.

*Prerequisites: MATH 221. *

**Description:** 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.

**Description:** Qualitative behavior 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.

**Description:** 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.

*Prerequisites: Math 208 and at least two of Math 221, Math 314, Math 380 *

**Description:** A research experience modeling problems of current interest to the local community, businesses, or government.

*Prerequisites: MATH 107 or permission *

*MATH 439/839 has a small laboratory component. *

**Description:** 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.

**Description:** 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.

**Description:** 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.

*Prerequisites: MATH 314 *

**Description:** 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.

**Description:** 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.

**Description:** Semantical and syntactical developments of propositional logic, discussion of several propositional calculi, application of Boolean algebra and related topics, semantics and syntax of first order predicate logic including Godel's completeness theorem, the compactness theorem.

*Prerequisites: Math 314 and either Math 325 or 310 *

**Description:** 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

*Prerequisites: Math 314 and Math 325 *

**Description:** 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.

*Prerequisites: Permission. *

*Prerequisites: Senior standing and especially qualified Juniors; and permission. *