Process Date: 18-MAY-2024
105 | THE MATHEMATICAL EXPERIENCE | Active |
Long Title: The Mathematical Experience |
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: | Sophomore standing |
Description: | An introduction to the scope, power, and spirit of mathematics. Topics, chosen to convey the character of mathematical inquiry, may vary; they include euclidean and non-euclidean geometry, number theory, topology, graph theory, infinity, paradoxes, set theory, and logic. Intended for students with limited preparation in mathematics. PREREQUISITES: Sophomore standing |
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 - 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: | 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 - 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: | 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. PREREQUISITES: Sophomore standing. Only one of MATH 107, 117, or 207 may be taken for credit. |
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: | An introduction to calculus that stresses applications to the life and social sciences. Topics include derivatives, integrals, optimization, and exponential and logarithmic functions. Mathematics 120 and 130 do not prepare students for more advanced courses. |
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 |
Description: | Differential and integral calculus in several variables, including optimization, partial derivatives, and multiple integrals. Also applications of integration and an introduction to differential equations. Stresses applications to the life and social sciences. |
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 |
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 - 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: | 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. PREREQUISITES: Advanced placement, MATH 140, or MATH 120 and consent of instructor; minimum score on ALEKS online diagnostic exam, as set by the department |
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 - 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 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. PREREQUISITES: MATH 150 or advanced placement; minimum score on ALEKS online diagnostic exam, as set by the 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. |
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: | 15 | 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) 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 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. PREREQUISITES: MATH 120 or 140. Only one of MATH 207, 107, or 117 may be taken for credit |
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 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. PREREQUISITES: MATH 200, or MATH 155 and consent of instructor; also PHYS 151 |
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 - 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: | 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. PREREQUISITES: AP examination credit in statistics or MATH 107, or BIOL 170, or PSYC 170 |
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 |
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 - 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 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. 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: | 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 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 |
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. |
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 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. 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) 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 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 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. 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 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 |
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 - 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 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. PREREQUISITES: 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: | 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) 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 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 - 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 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 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) 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 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 |
540 | MATH LOGIC & SET THEORY | Active |
Long Title: Mathematical Logic and Set 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 300 |
Description: | Establishes the basic syntactical tools needed to develop the semantics of first-order logic with equality, including the completeness and compactness theorems. Axiomatic set theory is developed culminating with the Axiom of Choice, some equivalents, and the Continuum Hypothesis. PREREQUISITES: MATH 300 |
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) 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 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. 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) 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 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. |
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) 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 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. 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) 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 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. |