Catalog Review

For Course Qualities In Effect For 2014-15

Process Date: 30-AUG-2014

MATH - Mathematics

107 ELEMENTARY STATISTICS Active
  Long Title: Elementary Statistics  
Units: 6 Cross-Listing Parent: Repeatable: No
S/U Only: No Enr Limit per Sec: 35 IP Allowed: No
Permission Req.: No Schedule Type: 01 - Standard Campus: Appleton Main Campus
Attributes: G012 - Mathematics GER (86cr)
G016 - Add Nat Sci GER (86cr)
G040 - Nat Science Div GER (01cr)
G052 - Quantitative Analy GER (01cr)
N006 - BM Natural Science (95cr)
N015 - BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL02 - Introductory Course
Prerequisites: Sophomore standing. Only one of MATH 107, 117, or 207 may be taken for credit
Description: For students in all disciplines. Provides the background needed to evaluate statistical arguments found in newspapers, magazines, reports, and journals and the logic and techniques necessary to perform responsible elementary statistical analysis. Topics include basic data analysis, one-variable regression, experimental and sampling design, random variables, sampling distributions, and inference (confidence intervals and significance testing). Students who have completed a calculus course should elect Mathematics 207 rather than Mathematics 107. This course may not be taken on a Satisfactory/Unsatisfactory basis.

117 ELEMENTARY STATISTICS Active
  Long Title: Elementary Statistics  
Units: 6 Cross-Listing Parent: Repeatable: No
S/U Only: No Enr Limit per Sec: 15 IP Allowed: No
Permission Req.: Yes Schedule Type: 03 - Standard Plus Additional Campus: Appleton Main Campus
Attributes: G012 - Mathematics GER (86cr)
G016 - Add Nat Sci GER (86cr)
G040 - Nat Science Div GER (01cr)
G052 - Quantitative Analy GER (01cr)
N006 - BM Natural Science (95cr)
N015 - BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL02 - Introductory Course
Prerequisites: Sophomore standing. Only one of MATH 107, 117, or 207 may be taken for credit.
Description: For students in all disciplines. Provides background needed to evaluate statistical arguments found in newspapers, reports, and journals and the logic and techniques necessary to perform responsible elementary statistical analysis. Topics include basic data analysis, one-variable regression, experimental and sampling design, random variables, sampling distributions, and inference (confidence intervals and significance testing). Computer lab component is used to investigate real data using statistical software. Students who have completed a calculus course should elect Mathematics 207 rather than Mathematics 107 or 117. This course may not be taken on a Satisfactory/Unsatisfactory basis.

120 APPLIED CALCULUS I Active
  Long Title: Applied Calculus I  
Units: 6 Cross-Listing Parent: Repeatable: No
S/U Only: No Enr Limit per Sec: 35 IP Allowed: No
Permission Req.: No Schedule Type: 01 - Standard Campus: Appleton Main Campus
Attributes: G012 - Mathematics GER (86cr)
G016 - Add Nat Sci GER (86cr)
G040 - Nat Science Div GER (01cr)
G052 - Quantitative Analy GER (01cr)
N006 - BM Natural Science (95cr)
N015 - BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL02 - Introductory Course
Prerequisites: Three years of high school mathematics;
Description: A course in the applications of mathematics to a wide variety of areas, stressing economics and the biological sciences. Topics may include recursive sequences and their equilibria, the derivative of a function, optimization, fitting abstract models to observed data. Emphasis placed on algebraic and numerical techniques and on understanding the role of mathematical thinking. Mathematics 120 and 130 do not prepare students for more advanced courses in mathematics.

130 APPLIED CALCULUS II Active
  Long Title: Applied Calculus II  
Units: 6 Cross-Listing Parent: Repeatable: No
S/U Only: No Enr Limit per Sec: None IP Allowed: No
Permission Req.: No Schedule Type: 01 - Standard Campus: Appleton Main Campus
Attributes: G012 - Mathematics GER (86cr)
G016 - Add Nat Sci GER (86cr)
G040 - Nat Science Div GER (01cr)
G052 - Quantitative Analy GER (01cr)
N006 - BM Natural Science (95cr)
N015 - BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL02 - Introductory Course
Prerequisites: MATH 120 or the equivalent
Description: A continuation of math 120. Topics may include the indefinite and definite integral, elementary linear algebra including matrix arithmetic and solving linear equations, vectors, partial derivatives, Lagrange multipliers. Both algebraic and numerical computations.

140 CALCULUS I Active
  Long Title: Calculus I  
Units: 6 Cross-Listing Parent: Repeatable: No
S/U Only: No Enr Limit per Sec: 30 IP Allowed: No
Permission Req.: No Schedule Type: 01 - Standard Campus: Appleton Main Campus
Attributes: G012 - Mathematics GER (86cr)
G016 - Add Nat Sci GER (86cr)
G040 - Nat Science Div GER (01cr)
G052 - Quantitative Analy GER (01cr)
N006 - BM Natural Science (95cr)
N015 - BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL02 - Introductory Course
Prerequisites: Four years of high school mathematics
Description: Functions, limits, derivatives, the Mean Value Theorem, definition and properties of integrals, the Fundamental Theorem of Calculus, and applications to related rates, curve sketching, and optimization problems. Placement exam not required.

150 CALCULUS II Active
  Long Title: Calculus II  
Units: 6 Cross-Listing Parent: Repeatable: No
S/U Only: No Enr Limit per Sec: 30 IP Allowed: No
Permission Req.: No Schedule Type: 01 - Standard Campus: Appleton Main Campus
Attributes: G012 - Mathematics GER (86cr)
G016 - Add Nat Sci GER (86cr)
G040 - Nat Science Div GER (01cr)
G052 - Quantitative Analy GER (01cr)
N006 - BM Natural Science (95cr)
N015 - BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL02 - Introductory Course
Prerequisites: Advanced placement, MATH 140, or MATH 120 and consent of instructor
Description: Applications of integration, exponential and logarithmic functions, techniques of integration, infinite sequences and series, and Taylor series.

160 CALCULUS III Active
  Long Title: Calculus III  
Units: 6 Cross-Listing Parent: Repeatable: No
S/U Only: No Enr Limit per Sec: None IP Allowed: No
Permission Req.: No Schedule Type: 01 - Standard Campus: Appleton Main Campus
Attributes: G012 - Mathematics GER (86cr)
G016 - Add Nat Sci GER (86cr)
G040 - Nat Science Div GER (01cr)
G052 - Quantitative Analy GER (01cr)
N006 - BM Natural Science (95cr)
N015 - BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL02 - Introductory Course
Prerequisites: MATH 150 or advanced placement
Description: Functions of two or more variables, partial derivatives, chain rules, optimization, vectors, derivatives of vector-valued functions, Lagrange multipliers, multiple integrals, line integrals, and Green’s Theorem.

191 DIRECTED STUDY IN MATH Active
  Long Title: Directed Study in Mathematics  
Units: 1 TO 98 Cross-Listing Parent: Repeatable: Yes
S/U Only: No Enr Limit per Sec: None IP Allowed: Yes
Permission Req.: Yes Schedule Type: 14 - Directed Study Campus: Appleton Main Campus
Attributes: G012 - Mathematics GER (86cr)
G016 - Add Nat Sci GER (86cr)
G040 - Nat Science Div GER (01cr)
N006 - BM Natural Science (95cr)
N015 - BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL02 - Introductory Course
Prerequisites: Counter Registration Required.
Description: Directed study follows a syllabus set primarily by the instructor to meet the needs or interests of an individual student or small group of students. The main goal of directed study is knowledge or skill acquisition, not research or creative work.

207 INTRO TO PROBABILITY & STATS Active
  Long Title: Introduction to Probability and Statistics  
Units: 6 Cross-Listing Parent: Repeatable: No
S/U Only: No Enr Limit per Sec: 30 IP Allowed: No
Permission Req.: No Schedule Type: 03 - Standard Plus Additional Campus: Appleton Main Campus
Attributes: G012 - Mathematics GER (86cr)
G016 - Add Nat Sci GER (86cr)
G040 - Nat Science Div GER (01cr)
G052 - Quantitative Analy GER (01cr)
N006 - BM Natural Science (95cr)
N015 - BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Credit
UL03 - Foundation/Gateway Course
Prerequisites: MATH 120 or 140. Only one of MATH 207, 107, or 117 may be taken for credit
Description: A survey of statistical methods including their mathematical foundation and their implementations on a computer. Topics include descriptive statistics and graphs, simple linear regression, random variables and their distributions, conditional probability, independence, sampling distributions, the Central Limit Theorem, and parametric and nonparametric tests of hypotheses. Computer lab component is used to investigate real data using statistical software.

210 DIFF EQUATIONS W/LINEAR ALG Active
  Long Title: Differential Equations with Linear Algebra  
Units: 6 Cross-Listing Parent: Repeatable: No
S/U Only: No Enr Limit per Sec: None IP Allowed: No
Permission Req.: No Schedule Type: 01 - Standard Campus: Appleton Main Campus
Attributes: G012 - Mathematics GER (86cr)
G016 - Add Nat Sci GER (86cr)
G040 - Nat Science Div GER (01cr)
G052 - Quantitative Analy GER (01cr)
N006 - BM Natural Science (95cr)
N015 - BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Credit
UL03 - Foundation/Gateway Course
Prerequisites: MATH 160, or MATH 150 and consent of instructor
Description: A study of differential equations and related techniques in linear algebra. Topics include first-order equations and their applications, existence and uniqueness of solutions, second-order linear equations and their applications, series solutions, systems of first-order equations, vector spaces and dimension, linear transformations, and eigenvalues.

217 APPLIED STATISTICAL METHODS Active
  Long Title: Applied Statistical Methods  
Units: 6 Cross-Listing Parent: Repeatable: No
S/U Only: No Enr Limit per Sec: 18 IP Allowed: No
Permission Req.: No Schedule Type: 03 - Standard Plus Additional Campus: Appleton Main Campus
Attributes: G012 - Mathematics GER (86cr)
G016 - Add Nat Sci GER (86cr)
G040 - Nat Science Div GER (01cr)
G052 - Quantitative Analy GER (01cr)
N006 - BM Natural Science (95cr)
N015 - BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Credit
UL03 - Foundation/Gateway Course
Prerequisites: AP examination credit in statistics, MATH 107, MATH 117, or MATH 207
Description: A second course in statistics that covers analyses needed to solve more complicated data-driven problems. Time permitting, topics include multiple regression, analysis of variance, categorical data analysis, nonparametric tests, bootstrap methods, and permutation tests. Class meetings are a mixture of lecture, discussion, and use of statistical software to investigate real data.

220 APPLIED COMBINATORICS Active
  Long Title: Applied Combinatorics  
Units: 6 Cross-Listing Parent: Repeatable: No
S/U Only: No Enr Limit per Sec: None IP Allowed: No
Permission Req.: No Schedule Type: 01 - Standard Campus: Appleton Main Campus
Attributes: G012 - Mathematics GER (86cr)
G016 - Add Nat Sci GER (86cr)
G040 - Nat Science Div GER (01cr)
G052 - Quantitative Analy GER (01cr)
N006 - BM Natural Science (95cr)
N015 - BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Credit
UL03 - Foundation/Gateway Course
Prerequisites: MATH 150
Description: An introduction to logic, proofs by mathematical induction, and elementary combinatorics. Additional topics include recurrence relations, generating functions, and the principle of inclusion-exclusion.

223 QUANTITATIVE DECISION-MAKING Active
  Long Title: Quantitative Decision-Making  
Units: 6 Cross-Listing Parent: ECON 223 Repeatable: No
S/U Only: No Enr Limit per Sec: None IP Allowed: No
Permission Req.: No Schedule Type: 01 - Standard Campus: Appleton Main Campus
Attributes: A005 - Cross-Listed Course
G016 - Add Nat Sci GER (86cr)
G040 - Nat Science Div GER (01cr)
N006 - BM Natural Science (95cr)
N015 - BM Natural Science (01cr)
S023 - Mathematics Course
UD04 - Division of Social Sciences
UL01 - Upper Level Degree Credit
UL03 - Foundation/Gateway Course
Prerequisites: Sophomore standing
Description: The students will learn how to develop formal, quantitative approaches to structuring difficult problems, particularly those problems involving probabilistic factors. We will develop and practice the steps of defining a problem, gathering data, formulating a model, performing numerical calculations, evaluating numerical information, refining the model, analyzing the model's alternatives, and communicating the results.

300 FOUNDATIONS OF ALGEBRA Active
  Long Title: Foundations of Algebra  
Units: 6 Cross-Listing Parent: Repeatable: No
S/U Only: No Enr Limit per Sec: None IP Allowed: No
Permission Req.: No Schedule Type: 01 - Standard Campus: Appleton Main Campus
Attributes: G012 - Mathematics GER (86cr)
G016 - Add Nat Sci GER (86cr)
G040 - Nat Science Div GER (01cr)
G052 - Quantitative Analy GER (01cr)
N006 - BM Natural Science (95cr)
N015 - BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Credit
UL03 - Foundation/Gateway Course
Prerequisites: MATH 207, 210, or 220
Description: An introduction to the rigorous study of mathematics. Topics include elementary theory of sets and mappings, number theory, equivalence relations, finite groups, homomorphisms, quotient groups, and rings.

310 FOUNDATIONS OF ANALYSIS Active
  Long Title: Foundations of Analysis  
Units: 6 Cross-Listing Parent: Repeatable: No
S/U Only: No Enr Limit per Sec: None IP Allowed: No
Permission Req.: No Schedule Type: 01 - Standard Campus: Appleton Main Campus
Attributes: G012 - Mathematics GER (86cr)
G016 - Add Nat Sci GER (86cr)
G040 - Nat Science Div GER (01cr)
G052 - Quantitative Analy GER (01cr)
N006 - BM Natural Science (95cr)
N015 - BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Credit
UL03 - Foundation/Gateway Course
Prerequisites: MATH 300
Description: A study of the concepts that underlie mathematical analysis: the completeness of the real numbers, convergence, continuity, derivatives, integrals, infinite series, and, if time permits, an introduction to metric spaces or Fourier series.

390 TUTORIAL STUDIES IN MATH Active
  Long Title: Tutorial Studies in Mathematics  
Units: 1 TO 98 Cross-Listing Parent: Repeatable: Yes
S/U Only: No Enr Limit per Sec: None IP Allowed: Yes
Permission Req.: Yes Schedule Type: 09 - Tutorial Campus: Appleton Main Campus
Attributes: G012 - Mathematics GER (86cr)
G016 - Add Nat Sci GER (86cr)
G040 - Nat Science Div GER (01cr)
N006 - BM Natural Science (95cr)
N015 - BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Credit
UL03 - Foundation/Gateway Course
Prerequisites: Counter Registration Required.
Description: Advanced work in mathematics on topics not covered in regular offerings.

391 DIRECTED STUDY IN MATHEMATICS Active
  Long Title: Directed Study in Mathematics  
Units: 1 TO 98 Cross-Listing Parent: Repeatable: Yes
S/U Only: No Enr Limit per Sec: None IP Allowed: Yes
Permission Req.: Yes Schedule Type: 14 - Directed Study Campus: Appleton Main Campus
Attributes: G012 - Mathematics GER (86cr)
G016 - Add Nat Sci GER (86cr)
G040 - Nat Science Div GER (01cr)
N006 - BM Natural Science (95cr)
N015 - BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Credit
UL03 - Foundation/Gateway Course
Prerequisites: Counter Registration Required.
Description: Directed study follows a syllabus set primarily by the instructor to meet the needs or interests of an individual student or small group of students. The main goal of directed study is knowledge or skill acquisition, not research or creative work.

399 INDEPENDENT STUDY IN MATH Active
  Long Title: Independent Study in Mathematics  
Units: 1 TO 98 Cross-Listing Parent: Repeatable: Yes
S/U Only: No Enr Limit per Sec: None IP Allowed: Yes
Permission Req.: Yes Schedule Type: 10 - IS Campus: Appleton Main Campus
Attributes: G012 - Mathematics GER (86cr)
G016 - Add Nat Sci GER (86cr)
G040 - Nat Science Div GER (01cr)
N006 - BM Natural Science (95cr)
N015 - BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Credit
UL03 - Foundation/Gateway Course
Prerequisites: Counter Registration Required.
Description: Guided independent study of an advanced topic in undergraduate mathematics or supervised work on an undergraduate research project, generally culminating in a final presentation and/or paper.

400 PARTIAL DIFFERENTIAL EQUATIONS Active
  Long Title: Partial Differential Equations  
Units: 6 Cross-Listing Parent: Repeatable: No
S/U Only: No Enr Limit per Sec: None IP Allowed: No
Permission Req.: No Schedule Type: 01 - Standard Campus: Appleton Main Campus
Attributes: G012 - Mathematics GER (86cr)
G016 - Add Nat Sci GER (86cr)
G040 - Nat Science Div GER (01cr)
G052 - Quantitative Analy GER (01cr)
N006 - BM Natural Science (95cr)
N015 - BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Credit
UL04 - Advanced Course
Prerequisites: MATH 300 or consent of instructor
Description: A survey of techniques used in modeling physical systems, with particular emphasis on partial differential equations and methods used to attack problems that do not have clean or simple solutions. Topics include techniques for solving partial differential equations exactly, the Fourier transform, perturbation theory, variational methods, Monte Carlo techniques, and finite difference schemes.

410 LINEAR ALGEBRA Active
  Long Title: Linear Algebra  
Units: 6 Cross-Listing Parent: Repeatable: No
S/U Only: No Enr Limit per Sec: None IP Allowed: No
Permission Req.: No Schedule Type: 01 - Standard Campus: Appleton Main Campus
Attributes: G012 - Mathematics GER (86cr)
G016 - Add Nat Sci GER (86cr)
G040 - Nat Science Div GER (01cr)
G052 - Quantitative Analy GER (01cr)
N006 - BM Natural Science (95cr)
N015 - BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Credit
UL04 - Advanced Course
Prerequisites: MATH 300
Description: A study of vector spaces, linear transformations, and their representations. The focus will be on algebraic and coordinate-free methods, and topics will include dimension, dual spaces, determinants, canonical forms, inner product spaces, and the spectral theorem.

420 NUMERICAL ANALYSIS Active
  Long Title: Numerical Analysis  
Units: 6 Cross-Listing Parent: Repeatable: No
S/U Only: No Enr Limit per Sec: None IP Allowed: No
Permission Req.: No Schedule Type: 01 - Standard Campus: Appleton Main Campus
Attributes: G012 - Mathematics GER (86cr)
G016 - Add Nat Sci GER (86cr)
G040 - Nat Science Div GER (01cr)
G052 - Quantitative Analy GER (01cr)
N006 - BM Natural Science (95cr)
N015 - BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Credit
UL04 - Advanced Course
Prerequisites: MATH 300 and CMSC 110 or CMSC 150
Description: Computer approximated (numerical) solutions to a variety of problems with an emphasis on error analysis. Interpolation, evaluation of polynomials and series, solution of linear and non-linear equations, eigenvectors, quadrature (integration), and differential equations.

435 OPTIMIZATION Active
  Long Title: Optimization  
Units: 6 Cross-Listing Parent: Repeatable: No
S/U Only: No Enr Limit per Sec: None IP Allowed: No
Permission Req.: No Schedule Type: 01 - Standard Campus: Appleton Main Campus
Attributes: G012 - Mathematics GER (86cr)
G016 - Add Nat Sci GER (86cr)
G040 - Nat Science Div GER (01cr)
G052 - Quantitative Analy GER (01cr)
N006 - BM Natural Science (95cr)
N015 - BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Credit
UL04 - Advanced Course
Prerequisites: MATH 310
Description: The study of local and global maximums and minimums of function, given various sorts of constraints. Linear problems and the simplex algorithm, general non-linear problems and the Kuhn-Tucker conditions, convex problems. Perturbation of problem parameters and duality. Applications to a wide variety of fields, including economics, game theory, and operations research.

440 PROBABILITY THEORY Active
  Long Title: Probability Theory  
Units: 6 Cross-Listing Parent: Repeatable: No
S/U Only: No Enr Limit per Sec: None IP Allowed: No
Permission Req.: No Schedule Type: 01 - Standard Campus: Appleton Main Campus
Attributes: G012 - Mathematics GER (86cr)
G016 - Add Nat Sci GER (86cr)
G040 - Nat Science Div GER (01cr)
G052 - Quantitative Analy GER (01cr)
N006 - BM Natural Science (95cr)
N015 - BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Credit
UL04 - Advanced Course
Prerequisites: MATH 310
Description: The mathematics of chance: probability, discrete and continuous random variables and their distributions, moments, jointly distributed random variables, conditional distributions, the Central Limit Theorem, and weak and strong convergence.

445 STATISTICAL THEORY Active
  Long Title: Mathematical Statistics  
Units: 6 Cross-Listing Parent: Repeatable: No
S/U Only: No Enr Limit per Sec: None IP Allowed: No
Permission Req.: No Schedule Type: 03 - Standard Plus Additional Campus: Appleton Main Campus
Attributes: G012 - Mathematics GER (86cr)
G016 - Add Nat Sci GER (86cr)
G040 - Nat Science Div GER (01cr)
G052 - Quantitative Analy GER (01cr)
N006 - BM Natural Science (95cr)
N015 - BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Credit
UL04 - Advanced Course
Prerequisites: MATH 310 and MATH 440
Description: The development and study of statistical theory. Topics include sampling distributions, point and interval estimation, significance tests, categorical data analysis, bootstrap methods and permutation tests, and, time permitting, regression analysis and analysis of variance. Class meetings are a mixture of lecture, discussion, and use of statistical software to analyze real-world case studies and to investigate computer-intensive statistical methods.

525 GRAPH THEORY Active
  Long Title: Graph Theory  
Units: 6 Cross-Listing Parent: Repeatable: No
S/U Only: No Enr Limit per Sec: None IP Allowed: No
Permission Req.: No Schedule Type: 01 - Standard Campus: Appleton Main Campus
Attributes: G012 - Mathematics GER (86cr)
G016 - Add Nat Sci GER (86cr)
G040 - Nat Science Div GER (01cr)
G052 - Quantitative Analy GER (01cr)
N006 - BM Natural Science (95cr)
N015 - BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Credit
UL04 - Advanced Course
Prerequisites: MATH 300
Description: A survey of graph theory that balances the abstract theory of graphs with a wide variety of algorithms and applications to “real world” problems. Topics include trees, Euler tours and Hamilton cycles, matchings, colorings, directed graphs, and networks.

530 TOPICS IN GEOMETRY Active
  Long Title: Topics in Geometry  
Units: 6 Cross-Listing Parent: Repeatable: No
S/U Only: No Enr Limit per Sec: None IP Allowed: No
Permission Req.: No Schedule Type: 01 - Standard Campus: Appleton Main Campus
Attributes: G012 - Mathematics GER (86cr)
G016 - Add Nat Sci GER (86cr)
G040 - Nat Science Div GER (01cr)
G052 - Quantitative Analy GER (01cr)
N006 - BM Natural Science (95cr)
N015 - BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Credit
UL04 - Advanced Course
Prerequisites: MATH 300
Description: The axiomatic development of euclidean and non-euclidean geometry, including the historical and philosophical issues raised by the “non-euclidean revolution.” Additional topics, such as projective or differential geometry and convexity, may be included.

535 COMPLEX ANALYSIS Active
  Long Title: Complex Analysis  
Units: 6 Cross-Listing Parent: Repeatable: No
S/U Only: No Enr Limit per Sec: None IP Allowed: No
Permission Req.: No Schedule Type: 01 - Standard Campus: Appleton Main Campus
Attributes: G012 - Mathematics GER (86cr)
G016 - Add Nat Sci GER (86cr)
G040 - Nat Science Div GER (01cr)
G052 - Quantitative Analy GER (01cr)
N006 - BM Natural Science (95cr)
N015 - BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Credit
UL04 - Advanced Course
Prerequisites: MATH 310
Description: An introduction to functions of a complex variable, the Cauchy-Riemann equations, conformal mappings, Cauchy’s theorem, Cauchy’s integral formula, Taylor and Laurent series, and a sampling, as time and interest permit, of the corollaries to Cauchy’s theorem.

545 RINGS AND FIELDS Active
  Long Title: Rings and Fields  
Units: 6 Cross-Listing Parent: Repeatable: No
S/U Only: No Enr Limit per Sec: None IP Allowed: No
Permission Req.: No Schedule Type: 01 - Standard Campus: Appleton Main Campus
Attributes: G012 - Mathematics GER (86cr)
G016 - Add Nat Sci GER (86cr)
G040 - Nat Science Div GER (01cr)
G052 - Quantitative Analy GER (01cr)
N006 - BM Natural Science (95cr)
N015 - BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Credit
UL04 - Advanced Course
Prerequisites: MATH 300
Description: Modern algebra with topics selected from group theory, ring theory, field theory, classical geometric construction problems, and Galois theory. Emphasis on the use of mathematical abstraction to illuminate underlying relationships and structure.

550 TOPICS IN ANALYSIS Active
  Long Title: Topics in Analysis  
Units: 6 Cross-Listing Parent: Repeatable: No
S/U Only: No Enr Limit per Sec: None IP Allowed: No
Permission Req.: No Schedule Type: 01 - Standard Campus: Appleton Main Campus
Attributes: G012 - Mathematics GER (86cr)
G016 - Add Nat Sci GER (86cr)
G040 - Nat Science Div GER (01cr)
G052 - Quantitative Analy GER (01cr)
N006 - BM Natural Science (95cr)
N015 - BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Credit
UL04 - Advanced Course
Prerequisites: MATH 310
Description: Selected topics in analysis covering a wide variety of spaces and leading to applications of classical importance. In recent years, topics have included fixed point theory, inverse and implicit function theorems, abstract theory of differential equations, Lebesgue measure and integration, Fourier series and transforms.

555 TOPICS ALGEBRA & COMBINATORICS Active
  Long Title:  
Units: 6 Cross-Listing Parent: Repeatable: No
S/U Only: No Enr Limit per Sec: None IP Allowed: No
Permission Req.: No Schedule Type: 01 - Standard Campus:
Attributes: G012 - Mathematics GER (86cr)
G040 - Nat Science Div GER (01cr)
N006 - BM Natural Science (95cr)
N015 - BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Credit
UL04 - Advanced Course
Prerequisites: MATH 300
Description: A study of interconnections between abstract algebra (especially finite group theory) and combinatorics (especially graph theory). Topics will include classical results (such as the matrix-tree theorem), as well as recent subjects and advances (such as the abelian sandpile model and the Riemann-Roch theorem for graphs).

560 TOPOLOGY Active
  Long Title: Topology  
Units: 6 Cross-Listing Parent: Repeatable: No
S/U Only: No Enr Limit per Sec: None IP Allowed: No
Permission Req.: No Schedule Type: 01 - Standard Campus: Appleton Main Campus
Attributes: G012 - Mathematics GER (86cr)
G016 - Add Nat Sci GER (86cr)
G040 - Nat Science Div GER (01cr)
G052 - Quantitative Analy GER (01cr)
N006 - BM Natural Science (95cr)
N015 - BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Credit
UL04 - Advanced Course
Prerequisites: MATH 310
Description: A study of metric and topological spaces, including continuity, compactness, connectedness, product and quotient spaces. Additional topics may include Zorn’s Lemma, separation properties, surfaces, the fundamental group, and fixed point theorems.

565 NUMBER THEORY Active
  Long Title: Number Theory  
Units: 6 Cross-Listing Parent: Repeatable: No
S/U Only: No Enr Limit per Sec: None IP Allowed: No
Permission Req.: No Schedule Type: 01 - Standard Campus: Appleton Main Campus
Attributes: G012 - Mathematics GER (86cr)
G016 - Add Nat Sci GER (86cr)
G040 - Nat Science Div GER (01cr)
G052 - Quantitative Analy GER (01cr)
N006 - BM Natural Science (95cr)
N015 - BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Credit
UL04 - Advanced Course
Prerequisites: MATH 300
Description: A study of the integers, including unique factorization, congruences, and quadratic reciprocity. Other topics may include finite fields, higher reciprocity laws, and algebraic number theory.

590 TUTORIAL STUDIES IN MATH Active
  Long Title: Tutorial Studies in Mathematics  
Units: 1 TO 98 Cross-Listing Parent: Repeatable: Yes
S/U Only: No Enr Limit per Sec: None IP Allowed: Yes
Permission Req.: Yes Schedule Type: 09 - Tutorial Campus: Appleton Main Campus
Attributes: G012 - Mathematics GER (86cr)
G016 - Add Nat Sci GER (86cr)
G040 - Nat Science Div GER (01cr)
N006 - BM Natural Science (95cr)
N015 - BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Credit
UL04 - Advanced Course
Prerequisites: Counter Registration Required.
Description: Advanced work in mathematics on topics not covered in regular offerings.

591 DIRECTED STUDY IN MATH Active
  Long Title: Directed Study in Mathematics  
Units: 1 TO 98 Cross-Listing Parent: Repeatable: Yes
S/U Only: No Enr Limit per Sec: None IP Allowed: Yes
Permission Req.: Yes Schedule Type: 14 - Directed Study Campus: Appleton Main Campus
Attributes: G012 - Mathematics GER (86cr)
G016 - Add Nat Sci GER (86cr)
G040 - Nat Science Div GER (01cr)
N006 - BM Natural Science (95cr)
N015 - BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Credit
UL04 - Advanced Course
Prerequisites: Counter Registration Required.
Description: Directed study follows a syllabus set primarily by the instructor to meet the needs or interests of an individual student or small group of students. The main goal of directed study is knowledge or skill acquisition, not research or creative work.

599 INDEPENDENT STUDY IN MATH Active
  Long Title: Independent Study in Mathematics  
Units: 1 TO 98 Cross-Listing Parent: Repeatable: Yes
S/U Only: No Enr Limit per Sec: None IP Allowed: Yes
Permission Req.: Yes Schedule Type: 10 - IS Campus: Appleton Main Campus
Attributes: G012 - Mathematics GER (86cr)
G016 - Add Nat Sci GER (86cr)
G040 - Nat Science Div GER (01cr)
N006 - BM Natural Science (95cr)
N015 - BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Credit
UL04 - Advanced Course
Prerequisites: Counter Registration Required.
Description: Guided independent study of an advanced topic in undergraduate mathematics or supervised work on an undergraduate research project, generally culminating in a final presentation and/or paper.

600 HISTORY OF MATHEMATICS Active
  Long Title: History of Mathematics  
Units: 6 Cross-Listing Parent: Repeatable: No
S/U Only: No Enr Limit per Sec: None IP Allowed: No
Permission Req.: No Schedule Type: 01 - Standard Campus: Appleton Main Campus
Attributes: G012 - Mathematics GER (86cr)
G016 - Add Nat Sci GER (86cr)
G040 - Nat Science Div GER (01cr)
G052 - Quantitative Analy GER (01cr)
N006 - BM Natural Science (95cr)
N015 - BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Credit
UL05 - Capstone Course
Prerequisites: MATH 310
Description: A study of the history of mathematics from the ancient Greeks through the present, emphasizing the role of mathematics in scientific advances, the work of great mathematicians, and the modern branching of the subject into a multitude of specialties.

690 TUTORIAL STUDIES IN MATH Active
  Long Title: Tutorial Studies in Mathematics  
Units: 1 TO 98 Cross-Listing Parent: Repeatable: Yes
S/U Only: No Enr Limit per Sec: None IP Allowed: Yes
Permission Req.: Yes Schedule Type: 09 - Tutorial Campus: Appleton Main Campus
Attributes: G012 - Mathematics GER (86cr)
G016 - Add Nat Sci GER (86cr)
G040 - Nat Science Div GER (01cr)
N006 - BM Natural Science (95cr)
N015 - BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Credit
UL05 - Capstone Course
Prerequisites: Counter Registration Required.
Description: Advanced work in mathematics on topics not covered in regular offerings.

691 DIRECTED STUDY IN MATH Active
  Long Title: Directed Study in Mathematics  
Units: 1 TO 98 Cross-Listing Parent: Repeatable: Yes
S/U Only: No Enr Limit per Sec: None IP Allowed: Yes
Permission Req.: Yes Schedule Type: 14 - Directed Study Campus: Appleton Main Campus
Attributes: G012 - Mathematics GER (86cr)
G016 - Add Nat Sci GER (86cr)
G040 - Nat Science Div GER (01cr)
N006 - BM Natural Science (95cr)
N015 - BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Credit
UL05 - Capstone Course
Prerequisites: Counter Registration Required.
Description: Directed study follows a syllabus set primarily by the instructor to meet the needs or interests of an individual student or small group of students. The main goal of directed study is knowledge or skill acquisition, not research or creative work.

699 INDEPENDENT STUDY IN MATH Active
  Long Title: Independent Study in Mathematics  
Units: 1 TO 98 Cross-Listing Parent: Repeatable: Yes
S/U Only: No Enr Limit per Sec: None IP Allowed: Yes
Permission Req.: Yes Schedule Type: 10 - IS Campus: Appleton Main Campus
Attributes: G012 - Mathematics GER (86cr)
G016 - Add Nat Sci GER (86cr)
G040 - Nat Science Div GER (01cr)
N006 - BM Natural Science (95cr)
N015 - BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Credit
UL05 - Capstone Course
Prerequisites: Counter Registration Required.
Description: Guided independent study of an advanced topic in undergraduate mathematics or supervised work on an undergraduate research project, generally culminating in a final presentation and/or paper.