K.L.D. Gunawardena, Chairperson
Department Office: Swart 115
Department Telephone: 920-424-1333
Code 67 or MATH
I would like to see:
Prerequisite courses must be completed with a grade of "C" or better.
The Mathematics Department recommendation for students entering their first
course in mathematics is made on the basis of the student's high school record,
ACT score, University objectives, and mathematics placement exam.
Students whose first mathematics course at UW Oshkosh is Mathematics 172 Calculus II and who have not received credit for Mathematics 171 Calculus I, may receive retroactive credit for Mathematics 171 under the following conditions:
If you have completed a Math course you may not get credit for a lower level math course. See chart below and also check course descriptions for other restrictions.
|Can't earn credit for:||If you have credit for Math:|
|Math 103||104, 106, 108, 171, 172, 175, 212|
|Math 104||108, 171, 172, 175|
|Math 106||108, 171, 172, 175|
|PBIS 189, Math 109||171, 201, 212, 301|
Inquiry Seminar 187
3 units (crs.)
Problem Based Inquiry Seminar (PBIS) (MA)
In this course students will develop their problem solving, critical thinking, communications and quantitative skills by exploring a mathematical topic in a problem solving setting. The topic will vary depending on instructor. Students are expected to participate actively in their own learning through class discussions, presentations and group activities and will identify attitudes and beliefs that are conducive to success in problem solving and critical thinking. Students should consult their advisor or the Mathematics Department to determine the topics of individual sections. Successful completion of this course will fulfill the Problem-Based Inquiry Seminar requirement. Prerequisite: Mathematics 103, Introduction to College Algebra, with grade of C or better or placement.
Inquiry Seminar 188 3 units
Problem based Inquiry Seminar-Modern Mathematics & it's Applications (PBIS) (MA)
This is a course intended for students whose major program does not require algebra or calculus. Students will see that the connection between the mathematics presented and down-to-earth, concrete real-life problems is direct and immediate. Topics are selected from social choice (voting systems, fair division, apportionment), management science (graphs, networks, scheduling), growth and symmetry (growth, populations, patterns), statistics (data analysis, probability, distributions) and computer technology (algorithms, data storage, coding, graphics). Prerequisite: Mathematics 103, Introduction to College Algebra, with grade of C or better or placement. (Fall-Spring)
Inquiry Seminar 189 3 units
Problem Based Inquiry Seminar-Statistics (PBIS) (MA)
Descriptive statistics/elementary probability/basic problems of statistical inference: estimation, confidence intervals, hypothesis testing, regression and correlation. Prerequisite: Mathematics 103, Introduction to College Algebra, with grade of C or better or placement. (Fall-Spring)
100 4 units (crs.)
Basic concepts about real numbers, fundamental operations of arithmetic, algebraic expressions, an introduction to linear equations and problem solving, graphing linear equations, factoring, exponents and polynomials, rational expressions and equations. Only those students failing to meet the prerequisites for courses at the Mathematics 103 level will be recommended for this course. This course does not count toward the 120 units (crs.) necessary for graduation. A grade of C or better is required to remove mathematics deficiency. (Fall-Spring)
103 3 units (crs.)
Functions and graphs, systems of linear equations and problem solving, inequalities in one and two variables, exponents and radicals, quadratic functions, exponential and logarithmic functions. This course does not count towards the 120 units credits (crs.) necessary for graduation. Prerequisite: Mathematics 100 with a C or better or placement. Not open to students who have completed Mathematics 104 or higher. (Fall-Spring)
104 3 units (crs.)
Equations and inequalities; graphs, functions and models; polynomial and rational functions; exponential and logarithmic functions. May not receive credit for both Mathematics 104 and 108. Prerequisite: Mathematics 103 with grade of C or better or placement.
106 2 units (crs.)
A first course in trigonometry. Basic circular functions and their inverses. Trigonometric identities and equations. Triangle trigonometry. Law of Sines and Law of Cosines. Students may not receive credit for both Mathematics 108 and 106. Prerequisite: Mathematics 104 with a grade of C or better or placement. (Fall-Spring)
108 5 units (crs.)
A functional approach to college algebra and trigonometry. Polynomial, exponential, logarithmic, circular and trigonometric functions. Recommended for all students who place at this level and who expect to take the Mathematics 171 - Mathematics 172 calculus sequence. May not receive credit for both Mathematics 104 and 108. Prerequisite: Mathematics 103 with a grade of C or better or placement.
109 3 units (crs.)
Elementary Statistics (MA)
110 3 units (crs.)
171 4 units (crs.)
Calculus I (MA)
Real valued functions of a single variable. Concept of derivative, antiderivative, and definite integral. Differentiation and applications, including optimization and curve-sketching. Emphasis on problem solving, approximation, data analysis, visualization. A graphics programmable calculator is required. Prerequisite: Mathematics 108 or 104 and 106 with grade(s) of C or better or 4 years of college preparatory mathematics and a satisfactory score on a placement examination. (Fall-Spring)
172 4 units (crs.)
Definite integration and applications, several techniques of integration, approximation, and improper integrals. Numerical differential equations, slope fields, Euler's method, and mathematical modeling. Taylor and Fourier Series. A graphics programmable calculator is required. Prerequisite: Mathematics 171 with a grade of C or better. (Fall-Spring)
175 4 units (crs.)
Honors: Calculus I
Covers the same subject matter as Mathematics 171 but with greater mathematical depth and emphasis on heuristic problem solving processes, computer or calculator graphics, and applications. Prerequisite: University Honors status in addition to the prerequisites for Mathematics 171.
201 3 units (crs.)
Applied Statistics (MA)
An introduction to applied statistics using a statistical computing package such as MINITAB. Topics include: Descriptive statistics, elementary probability, discrete and continuous distributions, interval and point estimation, hypothesis testing, regression and correlation. Prerequisite: Mathematics 104 or 108 with a grade of C or better. (Fall-Spring)
204 4 units (crs.)
Finite Math for Business
206 4 units (crs.)
Applied Calculus for Business (MA)
211 3 units (crs.)
Fundamentals of Geometry and Measurement for Elementary and Special Education Programs (MA)
Intuitive geometry and topology. Introduction to motion geometry. Measurement of length, area, volume and angle size. Includes a content foundation for teaching the geometry and measurement concepts recommended in the DPI K-8 guidelines. Prerequisite: Mathematics 110 with a grade of C or better. (Fall-Spring)
212 3 units (crs.)
Mathematics for Computer Science
Required of all Computer Science majors and minors. An introduction to truth tables and boolean functions, set theory, counting principles and the use of permutations and combinations, recurrence relations and the mathematical analysis of algorithms. Topics in discrete probability including random variables and expected values are also discussed. Prerequisites: Mathematics 171 or 206, or placement, and Computer Science 221 with a grade of C or better.
217 3 units (crs.)
Data Exploration and Analysis
This course uses activities and experiments to develop ideas about analyzing and reporting data, statistical techniques, probability and simulation. Most activities will involve data gathered from real life situations. Prerequisite: Mathematics 110 with a grade of C or better. (Fall-Spring)
222 3 units (crs.)
Introduction to Abstract Mathematics
Basic properties of functions, sets, and relations presented in various contexts. Emphasis on the precise use of language, the logical structure of mathematical statements, and the structure of proofs. Proof methods include induction, proof by contradiction, direct proof, and the construction of examples and counter examples. Examples may be drawn from various topics such as the integers, rational and real numbers, geometry, calculus, combinatorics, modern algebra and real analysis. Prerequisite: Mathematics 172 with a grade of C or better.
256 3 units (crs.)
Introduction to Linear Mathematics
An introduction to linear algebra based on the study of matrices, with an emphasis on situations which can be interpreted geometrically in the plane or in space. Topics include: matrix operations, systems of linear equations, determinants, eigenevectors and eigenvalues, properties of Rn with emphasis on R2 and R3 and applications of each of these topics. Most computation will be done on TI-85 or equivalent technology. Prerequisite: Mathematics 172 with a grade of C or better. (Fall-Spring)
273 4 units (crs.)
Vectors in two and three dimensions and vector functions. Multivariate differential and integral calculus, partial derivatives and multiple integrals. Line and surface integrals. Prerequisite: Mathematics 172 with a grade of C or better. (Fall-Spring)
287 1 unit (cr.)
Elementary Topics in Mathematics
Elementary level topics from such areas as: decision theory, game theory, graphs and networks, linear programming, applications of calculus to biology, ecology, and the social sciences, mathematical modeling, and statistics. Prerequisite: Mathematics 104 or 108 with a grade of C of better.
301 3 units (crs.)
Introduction to Probability and Statistics
Elementary probability models, discrete and continuous random variables, sampling and sampling distributions, estimation, and hypothesis testing. Prerequisite: Mathematics 172 with a grade of C or better. (Fall-Spring)
302 4 units (crs.)
Intermediate Statistical Methods
Emphasis on models and methods used in statistical applications. Topics covered include: two sample procedures, linear regression and correlation, analysis of a variance, and appropriate software package(s). Prerequisite: Mathematics 201 or 301 with a grade of C or better.
304 3 units (crs.)
Introduction to Nonparametric Methods
Statistical methods when the functional form of the population is unknown. Emphasis on applications and comparison of methods. One and two sample tests, contingency tables, tolerance limits, confidence intervals for means, tests of significance for some measures of correlation, and K-sample tests. Prerequisite: Mathematics 201 or 301 with a grade of C or better.
305 3 units (crs.)
Statistics for Quality and Productivity
Statistical process control charts including Shewart and CUSUM. Design of experiments including factorials, fractional factorials and designs to explore response surfaces. The roles of blocking, confounding and randomization. The course will be about 25% statistical process control and about 75% design of experiments. Prerequisite: Mathematics 301 with a grade of C or better. 305/505
317 4 units (crs.)
Probability and Statistics for Elementary and Middle School Programs
An introduction to probability and statistics emphasizing problem solving and communication. Topics include sample spaces, permutations and combinations, random variables, expected value, probability distributions, hypothesis testing and statistical inference. This course will employ technology and contain a historical component. Prerequisites: Mathematics 211 and 217 each with a grade of C or better. 317/517
319 4 units (crs.)
Infinite Processes for Elem & Mid Sch Programs
An introduction to infinite processes; this course emphasizes problem solving and communication. Topics include functions, continuity, limiting processes, rates of change, optimization, approximation of areas and volumes, sequences and series. This course will employ technology and will contain a historical component. (May not receive credit for both Mathematics 319 and Mathematics 171.) Prerequisites: Mathematics 211 and 217 each with a grade of C or better.
331 2 units (crs.)
Fundamentals of Geometry
An introduction to the evolution of geometry, modern elementary geometry, transformation theory, and modern axiomatic Euclidean geometry. Prerequisite: Mathematics 222. (Spring)
333 2 units (crs.)
Synthetic Projective Geometry
Topics include duality, harmonic sequences, projective transformations, and conics. Prerequisite: Mathematics 331 with a grade of C or better.
334 2 units (crs.)
This course will survey the history of non-Euclidean geometry and develop the basic properties of hyperbolic geometry. A consistency model will be constructed in the Euclidean plane and hyperbolic trigonometry developed by the use of this model. Prerequisite: Mathematics 331 with a grade of C or better. (Spring)
346 3 units (crs.)
This course is a proof-oriented, abstract approach to the study of finite dimensional vector spaces and linear transformations. Linear Algebra is central in mathematics and used heavily in other areas, such as computer science, economics, and physics. Topics include bases and dimension, matrices, determinants, inner product spaces, and characteristic values and characteristic vectors. Additional topics may include the Jordan canonical form, the spectral theorem, and quadratic forms. Prerequisite: Math 222 and Math 256 each with a grade of C or better. 346/546 (Fall)
347 3 units (crs.)
Introduction to Group Theory
A group is an algebraic system described by a set equipped with one associative operation. Groups contain an identity element and every element has an inverse. Group theory has applications in diverse areas such as art, biology, geometry, linguistics, music, and physics. The kinds of groups covered in this class include permutation, symmetric, alternating, and dihedral groups. Some of the important theorems covered are Cayley's Theorem, Fermat's Little Theorem, Lagrange's Theorem and the Fundamental Theorem of Finite Abelian Groups. Prerequisite: Math 222 with a grade of C or better.
348 3 units (crs.)
Introduction to Ring Theory
A ring is an algebraic system described by a set equipped with addition and multiplication operations. Rings arise naturally as generalized number systems. The integers, for example, form a ring with the usual addition and multiplication operations. Ring theory has applications in diverse areas such as biology, combinatorics, computer science, physics, and topology. Topics include rings of matrices, integers modulo n, polynomials, and integral domains. Some of the important theorems covered are the Fundamental Theorem of Algebra, the Division and Euclidean Algorithms, and Eisenstein's Criterion. Prerequisite: Math 222 with a grade of C or better.
349 3 units (crs.)
Introduction to Number Theory
Number Theory is a branch of mathematics that involves the study of properties of the integers. Topics covered include factorization, prime numbers, continued fractions, and congruencies as well as more sophisticated tools such as quadratic reciprocity, Diophantine equations, and number theoretic functions. However, many results and open questions in number theory can be understood by those without an extensive background in mathematics. Additional topics might include Fermat's Last Theorem, twin primes, Fibonacci numbers, and perfect numbers. Prerequisite: Math 222 with a grade of C or better. 349/549
352 3 units (crs.)
Computing Mathematics with Applications
An introduction to a Computer Algebra System such as Maple, Mathematica or Matlab. The course begins by exploring the symbolic, numerical and graphical capabilities of the software. Topics include lists, sets, arrays, functions and some programming with applications to algebra, calculus, discrete mathematics, linear mathematics, differential equations, probability and statistics and number theory. Students will work in groups and will complete projects exploring some mathematical problems using the software. Prerequisite: Mathematics 172.
355 3 units (crs.)
Introduction to Numerical Analysis
Topics in numerical computations selected from polynomial interpolation, solution of nonlinear equations, numerical integration, numerical solution of differential equations, and approximation. Prerequisite: Mathematics 273 and Computer Science 221 or equivalent each with a grade of C or better. 355/555
356 3 units (crs.)
Linear Numerical Analysis
Topics in numerical linear algebra selected from: Gaussian elimination, matrix inversion, eigenvector and eigenvalue computations, error analysis, condition numbers and pivoting strategies. Prerequisite: Mathematics 256, 273 and Computer Science 221 or equivalent each with a grade of C or better. 356/556
357 3 units (crs.)
Application and theory of linear programming. Primal and dual formulations, sensitivity analysis, simplex method, transportation algorithm, and the assignment problem. Students will learn modeling and how to apply linear programming to problems. Case studies are used. This course is appropriate for mathematics students as well as students from other fields. Prerequisite: Mathematics 256.
365 2 units (crs.)
Research, analysis, and construction of mathematical models for 'real world' problems. Application to areas within and outside mathematics. Oral group presentations and a written technical report are required. Prerequisite: Completion of core plus 12 units (crs.) in math numbered 300 or above. (Spring)
371 3 units (crs.)
An introductory course treating ordinary differential equations of the first and second order; linear equations with constant coefficients; solutions using series, the Laplace transform, and numerical methods. Prerequisite: Mathematics 172. 371/571 (Spring)
375 3 units (crs.)
Vector & Complex Analyses
Topics in mathematics applicable to the physical sciences: Vector analysis, Green's theorem and generalizations, analytic function theory. Prerequisite: Mathematics 273. 375/575
376 3 units (crs.)
Partial Differential Equations and Boundary Value Problems
Topics in mathematics applicable to the physical sciences: solutions of certain classical differential equations (ordinary and partial), Fourier methods, and applied linear algebra. Prerequisite: Mathematics 371. 376/576
381 3 units (crs.)
385 3 units (crs.)
Applied Regression Analysis
A practical introduction to regression emphasizing applications rather than theory. Simple and multiple regression analysis, basic components of experimental design, and elementary model building. Both conventional and computer techniques will be used in performing the analyses. Prerequisite: Mathematics 256 and 201 or Math 301 each with a grade of C or better. 385/585
386 3 units (crs.)
Linear Statistical Models
A unified approach to the application of linear statistical models in analysis of variance (ANOVA) and experimental design. In ANOVA topics from single-factor ANOVA and multifactor ANOVA will be considered. Experimental design will include randomized blocks, Latin squares, and incomplete block designs. Prerequisite: Mathematics 256 and 201 or Math 301 each with a grade of C or better. 386/586
401 3 units (crs.)
Mathematical Statistics I
Probability and combinatorial methods. Discrete and continuous, univariate and multivariate distributions, expected values, moments, normal distributions and derived distributions. Prerequisite: Mathematics 273 and 201 or Math 301 each with a grade of C or better. 401/601 (Fall)
402 3 units (crs.)
Mathematical Statistics II
Estimation, testing hypothesis, analysis of variance, comparison of means, least squares analysis, regression and correlation. Prerequisite: Mathematics 401. 402/602 (Spring)
403 2 units (crs.)
Issues in Statistical Practice
Selected readings and projects illustrating some of the special problems encountered by professional statisticians in their roles as consultants, educators and researchers. Prerequisite: Mathematics 401 and at least two courses from Mathematics 303, 305, 381, 385 and 386. (Spring)
413 4 units (crs.)
Modern Algebra for Elementary and Middle School Programs
An intuitive and investigative study of selected mathematical structures (groups, rings, integral domains, fields and vector spaces), sets, operations and functions including historical aspects. Emphasis is on problem solving. Prerequisite: Mathematics 104 or equivalent, Mathematics 211 and 217 each with a grade of C or better. 413/613
415 4 units (crs.)
Modern Geometry for Elementary and Middle School Programs
An informal approach to geometry. Topics are chosen from transformational (motion) geometry (reflections, rotations, translations and glide-reflections), symmetry, fractal geometry, spatial visualization, topology and graph theory including historical aspects. Emphasis is on problem solving and reasoning using technology and math manipulatives. The course will contain a historical component. Prerequisites: Mathematics 211 and 217 each with a grade of C or better. 415/615
430 3 units (crs.)
International Comparative Mathematics Education Seminar
Survey and study of research literature on comparative mathematics education, including cultural perceptions on the nature of mathematics and the teaching and learning of mathematics. Analysis of international studies in mathematics achievement. Comparison of standards and curricula for teaching school mathematics. Experience with units from demonstration projects in international primary or secondary school curriculum materials. Prerequisites: Senior status with a major in elementary education and completion of 17 units (crs) toward a minor in mathematics; or completion of core, Mathematics 222 and 9 units (crs) in math numbered 300 or above; or consent of instructor.
446 1-3 units (crs.)
See Independent Study under Course and Academic Advisement Policies information for general course description, general prerequisites, and proper contract form requirements.
467 3 units (crs.)
Introduction to Real Analysis
This course offers a proof-oriented, abstract approach to many of the concepts covered in Calculus. Topics include real number properties, the topology of the real numbers, functions, limits of functions, continuity, uniform continuity, differentiation, integration, sequences, series, pointwise and uniform convergence of sequences of functions, and series of functions. Reading and writing proofs are an integral part of the course. 467/667
474 1-6 units (crs.)
Honors thesis projects include any advanced independent endeavor in the student's major field of study: e.g. a written thesis, scientific experiment or research project, or creative arts exhibit or production. Proposals (attached to Independent Study contract) must show clear promise of honors level work and be approved by a faculty sponsor. Course title for transcript will be 'Honors Thesis.' Completed projects will be announced and presented to interested students and faculty. Prerequisite: University Honors program and junior standing.
480 3 units (crs.)
Introduction to Topology
An introduction to the fundamental concepts of point set topology. Topics are chosen from: general topological spaces, functions and continuity, open and closed sets, neighborhoods, homeomorphism, properties of topological spaces, subspaces, products, and quotients. Emphasis will be placed on proofs and examples, with particular attention given to metric spaces. Prerequisite: Mathematics 222 and 273. 480/680
485 2 units (crs.)
Seminar in Mathematical Problem Solving
General heuristic strategies applied to non-routine mathematical problems. Interactive problem solving and analysis by participants. Designed for communicators of mathematics. Prerequisite: Completion of core, Mathematics 222 and 9 units (crs.) in math numbered 300 or above. 485 (Spring)
490 3 units (crs.)
Senior Seminar for Elementary and Middle School Programs
Seminar emphasizing problem solving and mathematical modeling in Elem/Middle School programs. Survey and study of research literature on the teaching and learning of mathematics, connections between the other courses in the mathematics minor. Experience with units from demonstration projects in middle school curriculum materials. Prerequisite: Senior status with major in elementary education and completion of 17 units (crs.) toward a minor in mathematics.