Catalog Review

For Course Qualities In Effect For 2020-21

Process Date: 04-AUG-2020

MATH - Mathematics

103 PREPARATION FOR CALCULUS Active
  Long Title: Preparation for Calculus  
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: Minimum score on ALEKS diagnostic exam, as set by the department.
Description: An exploration of functions, including polynomial, rational, exponential, logarithmic, and trigonometric functions. This course is designed to prepare students for the study of calculus at Lawrence.

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 Active
  Long Title: Calculus  
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: Minimum score on ALEKS online diagnostic exam, as set by the department.
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.

155 MULTIVARIABLE CALCULUS Active
  Long Title: Multivariable Calculus  
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: MATH 140 or suitable AP or IB score and minimum score on ALEKS online diagnostic exam as set by department
Description: Techniques of integration, vector algebra in the plane and space, matrix algebra, functions of several variables, partial derivatives, double and triple integration, optimization.

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.

200 COMPLEX SEQUENCES AND SERIES Active
  Long Title: Complex Sequences and Series  
Units: 6 Cross-Listing Parent: Repeatable: No
S/U Only: No Enr Limit per Sec: 20 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 155
Description: Complex numbers, sequences, convergence, series, power series, additional topics chosen from analysis, geometry, differential equations, and applied mathematics

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 200, or MATH 155 and consent of instructor; also PHYS 151
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.

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: 25 IP Allowed: No
Permission Req.: No Schedule Type: 01 - Standard Campus: Appleton Main Campus
Attributes: A005 - Cross-Listed Course
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: 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.

230 DISCRETE MATHEMATICS Active
  Long Title: Discrete 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
UL03 - Foundation/Gateway Course
Prerequisites: MATH 155
Description: An introduction to mathematical reasoning and proof in the context of discrete structures relevant to the study of computer science. Topics include induction, sets, relations and functions, graph theory, combinatorics, and probability.

250 LINEAR ALGEBRA Active
  Long Title: Linear Algebra  
Units: 6 Cross-Listing Parent: Repeatable: No
S/U Only: No Enr Limit per Sec: 20 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)
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 200
Description: The study of vector spaces, linear transformations, matrices, and applications. Topics include linear independence, dimension, rank-nullity, change of basis, eigenvectors and eigenvalues, determinants, and inner products.

340 PROBABILITY Active
  Long Title: Probability  
Units: 6 Cross-Listing Parent: MATH 340 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
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: MATH 200, and either MATH 220 or MATH 230
Description: An introduction to probability and its applications. Topics will include combinatorial and axiomatic probability, conditional probability and Bayes' Theorem, random variables, expectation and variance, discrete and continuous probability distributions, joint and conditional distributions, and limit laws.

350 ORDINARY DIFFERENTIAL EQUATION Active
  Long Title: Ordinary 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)
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 250
Description: A study of ordinary differential equations and applications. Topics include standard techniques for special types of equations, linear and non-linear systems, existence and uniqueness, and qualitative behavior.

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.

395 INTERNSHIP IN MATHEMATICS Active
  Long Title:  
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: 08 - Internship/Practica Campus: Appleton Main Campus
Attributes: A010 - Internship
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:
Description: The academic component of the internship includes readings related to the substance of the internship, discussions with the faculty supervisor, and a written report appropriate to the discipline. Course grades are based on this academic 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 350
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)
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 250, one CMSC (computer science) course recommended
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 230 and 250, or 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.

445 MATHEMATICAL STATISTICS 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: 01 - Standard 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: MATH/STAT 340
Description: Development of the mathematical theory of statistics and its application to the real world. The course will focus on the principles of estimation and testing from both the frequentist and Bayesian perspectives. Resampling methods (permutation tests and bootstrap intervals) will also be explored.

510 REAL ANALYSIS Active
  Long Title: Real 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)
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 230 and MATH 250
Description: A study of concepts in mathematical analysis, including convergence of sequences and series, continuity, differentiation, integration, and metric spaces.

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 230 and 250, or 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 230 and MATH 250, or 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)
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 230 and 250
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)
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 230 and 250
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)
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: Topics in Algebra and 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)
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 230 and MATH 250
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)
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 230 and 250
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)
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 230 and 250
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.