Catalog Review

For Course Qualities In Effect For 2019-20

Process Date: 29-MAR-2024

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 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
G052 - GER Quantitative Analysis
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL02 - 100-199 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. PREREQUISITES: Minimum score on ALEKS diagnostic exam, as set by the department.

107 ELEMENTARY STATISTICS Active
  Long Title: Elementary Statistics  
Units: 6 Cross-Listing Parent: 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: G012 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
G052 - GER Quantitative Analysis
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL02 - 100-199 Introductory Course
Prerequisites: Completion of 54 units in Lawrence courses or consent of instructor
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). This course may not be taken on a Satisfactory/Unsatisfactory basis. PREREQUISITES: Completion of 54 units in Lawrence courses or consent of instructor

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 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
G052 - GER Quantitative Analysis
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL02 - 100-199 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. PREREQUISITES: Three years of high school 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 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
G052 - GER Quantitative Analysis
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL02 - 100-199 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. PREREQUISITES: MATH 120 or the equivalent

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 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
G052 - GER Quantitative Analysis
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL02 - 100-199 Introductory Course
Prerequisites: Four years of high school mathematics and 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. PREREQUISITES: Minimum score on ALEKS online diagnostic exam, as set by the department.

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 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
G052 - GER Quantitative Analysis
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL02 - 100-199 Introductory Course
Prerequisites: MATH 140 or equivalent, appropriate score on the departmental placement exam
Description: Techniques of integration, vector algebra in the plane and space, matrix algebra, functions of several variables, partial derivatives, double and triple integration, optimization. PREREQUISITES: MATH 140 or suitable AP or IB score and minimum score on ALEKS online diagnostic exam as set by department

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 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL02 - 100-199 Introductory Course
Prerequisites: To register student must complete the Student Initiated Course Form with consultation of supervising instructor.
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. PREREQUISITES: To register student must complete the Student Initiated Course Form with consultation of supervising instructor.

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 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
G052 - GER Quantitative Analysis
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Cr (200+)
UL03 - 200-399 Foundation/Gateway Crs
Prerequisites: MATH 155
Description: Complex numbers, sequences, convergence, series, power series, additional topics chosen from analysis, geometry, differential equations, and applied mathematics PREREQUISITES: MATH 155

208 MACHINE LEARNING Active
  Long Title: Machine Learning  
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: A005 - Cross-Listed Course
G012 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
G052 - GER Quantitative Analysis
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Cr (200+)
UL03 - 200-399 Foundation/Gateway Crs
Prerequisites: One course in mathematics or computer science, or BIOL 170, or consent of instructor
Description: An overview of techniques used to discover structural patterns and make predictions using complex datasets that are prevalent in today's world. The central machine learning tasks of classification, clustering, and regression will be explored, along with methods for training models and evaluating predictions. This course will be taught in a workshop format. Assignments will involve the use of statistical software. PREREQUISITES: One course in mathematics or computer science, or BIOL 170, or consent of instructor

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 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
G052 - GER Quantitative Analysis
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Cr (200+)
UL03 - 200-399 Foundation/Gateway Crs
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. PREREQUISITES: MATH 200, or MATH 155 and consent of instructor; also PHYS 151

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 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
G052 - GER Quantitative Analysis
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Cr (200+)
UL03 - 200-399 Foundation/Gateway Crs
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. PREREQUISITES: MATH 150

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 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
G052 - GER Quantitative Analysis
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Cr (200+)
UL03 - 200-399 Foundation/Gateway Crs
Prerequisites: Sophomore standing
Description: Students will learn ways to aid decision-making by applying a scientific approach to decision problems involving quantitative factors: defining the problem, gathering data, formulating a model of the problem, developing computer-based procedures for evaluating solutions, testing and refining the model, analyzing the model’s alternatives, and communicating the results. Many assignments and exams will be completed using Excel, so students will also gain advanced Excel skills. PREREQUISITES: Sophomore standing

230 DISCRETE MATHEMATICS Active
  Long Title: Discrete Mathematics  
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 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
G052 - GER Quantitative Analysis
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Cr (200+)
UL03 - 200-399 Foundation/Gateway Crs
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. PREREQUISITES: MATH 155

240 PROBABILITY Active
  Long Title: Probability  
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 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
G052 - GER Quantitative Analysis
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Cr (200+)
UL03 - 200-399 Foundation/Gateway Crs
Prerequisites: MATH 160, or MATH 150 and consent of instructor
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. PREREQUISITES: MATH 160, or MATH 150 and consent of instructor

250 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 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Cr (200+)
UL03 - 200-399 Foundation/Gateway Crs
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. PREREQUISITES: MATH 200

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: 20 IP Allowed: No
Permission Req.: No Schedule Type: 01 - Standard Campus: Appleton Main Campus
Attributes: G012 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
G052 - GER Quantitative Analysis
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Cr (200+)
UL03 - 200-399 Foundation/Gateway Crs
Prerequisites: MATH 210, 220, or 240
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. PREREQUISITES: MATH 210, 220, or 240

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: 15 IP Allowed: No
Permission Req.: No Schedule Type: 01 - Standard Campus: Appleton Main Campus
Attributes: G012 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
G052 - GER Quantitative Analysis
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Cr (200+)
UL03 - 200-399 Foundation/Gateway Crs
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. PREREQUISITES: MATH 300

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 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Cr (200+)
UL03 - 200-399 Foundation/Gateway Crs
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. PREREQUISITES: MATH 250

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 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Cr (200+)
UL03 - 200-399 Foundation/Gateway Crs
Prerequisites: To register student must complete the Student Initiated Course Form with consultation of supervising instructor.
Description: Advanced work in mathematics on topics not covered in regular offerings. PREREQUISITES: To register student must complete the Student Initiated Course Form with consultation of supervising instructor.

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 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Cr (200+)
UL03 - 200-399 Foundation/Gateway Crs
Prerequisites: To register student must complete the Student Initiated Course Form with consultation of supervising instructor.
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. PREREQUISITES: To register student must complete the Student Initiated Course Form with consultation of supervising instructor.

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 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Cr (200+)
UL03 - 200-399 Foundation/Gateway Crs
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 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Cr (200+)
UL03 - 200-399 Foundation/Gateway Crs
Prerequisites: To register student must complete the Student Initiated Course Form with consultation of supervising instructor.
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. PREREQUISITES: To register student must complete the Student Initiated Course Form with consultation of supervising instructor.

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 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
G052 - GER Quantitative Analysis
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Cr (200+)
UL04 - 400-599 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. PREREQUISITES: MATH 350

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 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Cr (200+)
UL04 - 400-599 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. PREREQUISITES: MATH 300

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 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
G052 - GER Quantitative Analysis
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Cr (200+)
UL04 - 400-599 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. PREREQUISITES: MATH 250, one CMSC (computer science) course recommended

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 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
G052 - GER Quantitative Analysis
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Cr (200+)
UL04 - 400-599 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. PREREQUISITES: MATH 230 and 250, or MATH 310

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 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Cr (200+)
UL04 - 400-599 Advanced Course
Prerequisites: MATH 240
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. PREREQUISITES: MATH/STAT 340

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: 03 - Standard Plus Additional Campus: Appleton Main Campus
Attributes: G012 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Cr (200+)
UL04 - 400-599 Advanced Course
Prerequisites: MATH 240
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. PREREQUISITES: MATH/STAT 340

450 BAYESIAN STATISTICS Active
  Long Title: Bayesian 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 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Cr (200+)
UL04 - 400-599 Advanced Course
Prerequisites: MATH 240
Description: A study of the Bayesian statistical philosophy, contrasting it with the traditional frequentist approach taught in other statistics courses. Topics include Bayes' Theorem, prior and posterior probability distributions, hierarchical models, and Markov Chain Monte Carlo methods. The course will involve a mixture of lecture, discussion, and use of statistical software. Requirements include exams, a project, and assignments involving the use of statistical software. PREREQUISITES: MATH 240

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 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Cr (200+)
UL04 - 400-599 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. PREREQUISITES: MATH 230 and MATH 250

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 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
G052 - GER Quantitative Analysis
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Cr (200+)
UL04 - 400-599 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. PREREQUISITES: MATH 230 and 250, or MATH 300

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 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
G052 - GER Quantitative Analysis
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Cr (200+)
UL04 - 400-599 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 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Cr (200+)
UL04 - 400-599 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. PREREQUISITES: MATH 230 and 250

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 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Cr (200+)
UL04 - 400-599 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. PREREQUISITES: MATH 230 and 250

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 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Cr (200+)
UL04 - 400-599 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 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Cr (200+)
UL04 - 400-599 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 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Cr (200+)
UL04 - 400-599 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. PREREQUISITES: MATH 230 and 250

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 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Cr (200+)
UL04 - 400-599 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. PREREQUISITES: MATH 230 and 250

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 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Cr (200+)
UL04 - 400-599 Advanced Course
Prerequisites: To register student must complete the Student Initiated Course Form with consultation of supervising instructor.
Description: Advanced work in mathematics on topics not covered in regular offerings. PREREQUISITES: To register student must complete the Student Initiated Course Form with consultation of supervising instructor.

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 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Cr (200+)
UL04 - 400-599 Advanced Course
Prerequisites: To register student must complete the Student Initiated Course Form with consultation of supervising instructor.
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. PREREQUISITES: To register student must complete the Student Initiated Course Form with consultation of supervising instructor.

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 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Cr (200+)
UL04 - 400-599 Advanced Course
Prerequisites: To register student must complete the Student Initiated Course Form with consultation of supervising instructor.
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. PREREQUISITES: To register student must complete the Student Initiated Course Form with consultation of supervising instructor.

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 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
G052 - GER Quantitative Analysis
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Cr (200+)
UL05 - 600-699 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. PREREQUISITES: MATH 310

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 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Cr (200+)
UL05 - 600-699 Capstone Course
Prerequisites: To register student must complete the Student Initiated Course Form with consultation of supervising instructor.
Description: Advanced work in mathematics on topics not covered in regular offerings. PREREQUISITES: To register student must complete the Student Initiated Course Form with consultation of supervising instructor.

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 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Cr (200+)
UL05 - 600-699 Capstone Course
Prerequisites: To register student must complete the Student Initiated Course Form with consultation of supervising instructor.
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. PREREQUISITES: To register student must complete the Student Initiated Course Form with consultation of supervising instructor.

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 - XX Mathematics GER (86cr)
G016 - XX Add Nat Sci GER (86cr)
G040 - XX Nat Science Div GER (01cr)
N006 - XX BM Natural Science (95cr)
N015 - XX BM Natural Science (01cr)
S023 - Mathematics Course
UD03 - Division of Natural Science
UL01 - Upper Level Degree Cr (200+)
UL05 - 600-699 Capstone Course
Prerequisites: To register student must complete the Student Initiated Course Form with consultation of supervising instructor.
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. PREREQUISITES: To register student must complete the Student Initiated Course Form with consultation of supervising instructor.