Department: Department of Mathematics
Chair: Fredric W. Tufte
Office: 151 Gardner Hall
Phone: 608-342-1741
Contact: Fredric W. Tufte
tufte@uwplatt.edu
151 Gardner Hall
608-3342-1741

Professors: Robert A. Calcaterra, Franklin D. Cheek, Richard W. Graney, William J. Hamshire, Clement T. Jeske, Sherrie J. Nicol, A. Allan Richert, William A. Sanders, Fredric W. Tufte
Associate Professors: Diane M. Benjamin, David C. Boyles, Anthony D. Thomas, Sheryl L. Wills
Assistant Professors: Barbara A. Barnet, Timothy M. Deis, Karen S. Thomas, Jason R. Thurn
Lecturers: Janet M. Eisenhauer, Kim M. Hendrickson, Zehra Muslu, Sheri E. Parker, Francis E. Rowe, Jean C. Sanders
Program Assistants: Kathryn J. Blair, Barbara A. Klar

Welcome to the exciting world of mathematics. Often called the "Queen and Servant of the Sciences," mathematics has a long history of developing new frontiers and enriching the sciences and engineering. Most recently, mathematics has become increasingly important in such diverse areas as economics, psychology, linguistics, biology, management science and agriculture. Thus, the mathematics major and minor provide a strong and flexible background for a variety of careers.

Students majoring in mathematics must take a core of required courses, while other courses are selected with regard to career goals. Majors who plan to work in business or industry after graduation choose their electives from applied mathematics courses such as differential equations and numerical analysis. Mathematics majors planning to work toward an advanced degree in statistics should include junior-senior level probability and statistics courses among their mathematics electives.

For mathematics majors many career opportunities are available in teaching, applied mathematics, statistics, computer science, actuarial science, and others. Many UW-Platteville alumni with mathematics majors are pursuing careers as secondary school teachers, as college teachers, as actuaries with insurance companies and financial institutions, as statisticians in both government and industry, and as computer programmers and software engineers.

Mission

In addition to offering majors and minors in mathematics, the Mathematics Department offers programs to support both the University's general education requirements and the major and minor programs of other departments. Within this mission, the Department of Mathematics strives to furnish an open enlightened environment, with frequent student-faculty interaction, resulting in quality undergraduate education. The primary purpose of this education is to provide graduates with the quantitative skills to function proficiently in a social and professional capacity.

Placement

Initial placement of students in mathematics courses will be determined by the Department of Mathematics on the basis of all available records, test results, and scores on the UW-System Mathematics Placement Test. Advanced placement credit for Calculus and Analytic Geometry is awarded only to students who satisfactorily complete the College Entrance Examination Board (CEEB) Advanced Placement Examination in Calculus. Upon request students will receive: 1) four credits for MATH 2640 if they receive a score of 3, 4 or 5 on the CEEB Advanced Placement Calculus AB examination; 2) eight credits for MATH 2640 and 2740 if they receive a score of 3, 4 or 5 on the CEEB Advanced Placement Calculus BC examination. Credit for MATH 2430 (Elementary Statistics) is awarded to students having received a score of 3, 4 or 5 on the CEEB Advanced Placement Statistics examination.

Students taking any sequential courses in mathematics should attain a grade of "C" or better before taking the succeeding course.

General Requirements ­ Bachelor of Science Degree

Total for graduation 120 credits

General Education 44-58 credits

Major Studies 36 credits

Mathematics Major (36 credits)

MATH 2640 Calculus and Analytic Geometry 4

MATH 2740 Calculus and Analytic Geometry 4

MATH 2840 Calculus and Analytic Geometry 4

MATH 3230 Linear Algebra 3

MATH 3330 Modern Algebra 3

MATH 4030 Statistical Methods with Applications 3

MATH 4430 Advanced Calculus 3

MATH 4810 Senior Seminar 1

In-Depth Experience Requirement

Mathematics majors (exclusive of those who are enrolled in the secondary/middle education program) are required to complete a more thorough study of a particular area of mathematics. This requirement may be satisfied by one of the following courses: MATH 3830 Differential Equations II, MATH 4040 Statistics and Probability, or MATH 4530 Complex Variables.

Geometry & Teaching Methods Requirements

(Education Majors only)

Students seeking teaching certification in mathematics are required to complete MATH 313 College Geometry and MATH 3020 Teaching Mathematics in Middle and Secondary School. MATH 3020 does not count in the 36 credit hour requirement for the major.

Mathematics Electives

In addition to the requirements described above, all mathematics majors must complete an additional eight credits in mathematics. Courses numbered below 2640 or between 3000 and 3100 may not be counted toward this requirement. Students who are also majoring in one of the engineering areas may count up to six credits of selected engineering courses (CEE 3100, CEE 3300, EE 3140, EE 4310, EP 3240, EP 3640, IE 3530, ME 3030, ME 3300, ME 3640) as mathematics electives. Students completing more than one major may not be required to take MATH 4810 Senior Seminar. Contact the Mathematics Department for details.

Computer Science Requirement

All mathematics majors are required to demonstrate proficiency in a high level computer language such as FORTRAN, Pascal, C, or C++. Students who complete COSC 1130 Introduction to Programming or COSC 1430 Programming in C++ will have satisfied this requirement.

Natural Science Requirement

Mathematics majors must successfully complete one of the following courses in chemistry or physics:

CHEM 1140 (or 1650) General Chemistry or PHYS 2510/2530 General Physics.

Mathematics Minor (24 credits)

Mathematics minors must earn a minimum of 24 credits in mathematics subject to the restrictions outlined below. Credit for courses numbered below 2640 or between 3000 and 3100 may not be included in this total. The courses selected to satisfy this requirement must include:

All three of the following:

MATH 2640 Calculus and Analytic Geometry 4

MATH 2740 Calculus and Analytic Geometry 4

MATH 2840 Calculus and Analytic Geometry 4

One of the following three:

MATH 3230 Linear Algebra 3

MATH 3630 Differential Equations 3

MATH 3730 Numerical Analysis 3

In addition to these requirements, all mathematics minors must successfully complete COSC 1130 Introduction to Programming or COSC 1430 Programming in C++ (or equivalent) and either CHEM 1140 (or 1650) General Chemistry or PHYS 2510/2530 General Physics.

Mathematics minors in the secondary education program must complete MATH 3130 College Geometry, MATH 3230 Linear Algebra, MATH 3330 Modern Algebra, and MATH 4030 Statistical Methods with Applications. These students must also complete MATH 3020 Teaching of Mathematics in the Middle and Secondary School in addition to the 24 credit requirement.

Mathematics with Emphasis in Elementary/Middle Education (24 credits)

MATH 1030 Mathematics for Elementary/ Middle School Teachers 3

MATH 2030 Mathematics for Elementary/ Middle School Teachers 3

MATH 3030 Mathematics for Elementary/ Middle School Teachers 3

MATH 2430 Elementary Statistics 3

MATH 2450 Precalculus Mathematics 5

MATH 2630 Calculus with Applications 3

MATH 3040 Algebra and Geometry for Elementary/Middle School Teachers 4

Students may substitute MATH 1530 College Algebra and MATH 2530 Trigonometry and Analytic Geometry for MATH 2450 Precalculus Mathematics. Students may substitute MATH 2640 Calculus and Analytic Geometry for MATH 2630 Calculus with Applications.

Courses of Instruction

MATH 1000 3 credits

Intermediate Algebra

Fundamental operations, factoring, fractions, equations, functions, graphing, exponents and radicals, simultaneous equations, progressions and the binomial theorem. P: Mathematics proficiency level of 10 or above. F S Su

MATH 1030 3 credits

Mathematics for Elementary/Middle School Teachers

Problem solving, history and development of number systems, sets, number theory, and fundamental operations with whole numbers and integers; special emphasis on the relationship of these topics to the elementary school mathematics curriculum, including modeling appropriate methods of teaching. P: MATH 1000 or mathematics proficiency level of 15 or above. (Open only to elementary education majors.) F S

MATH 1530 3 credits

College Algebra

Functions and their graphs, polynomial and rational functions, exponential and logarithmic functions, inequalities, systems of equations, sequences and series, mathematical induction, and binomial series. P: MATH 1000 or mathematics proficiency level of 15 or above. (MATH 1530 and MATH 2530 may not be taken concurrently.) F S Su

MATH 1630 3 credits

Finite Mathematics with Applications

Set theory, coordinate systems and graphs, matrices, linear systems, linear programming (geometric and simplex), probability, Markov Processes; with applications in the fields of business and economics. P: MATH 1000, 1530 or mathematics proficiency level of 20 or above. F S

MATH 2030 3 credits

Mathematics for Elementary/Middle School Teachers

Fractions and decimals, percents, rational and irrational numbers, two- and three-dimensional figures, symmetry, congruence, and an introduction to LogoWriter; special emphasis on the relationship of these topics to the elementary school mathematics curriculum, including modeling appropriate methods of teaching. P: MATH 1030 with a grade of "C" or better. (Open only to elementary education majors.) F S

MATH 2330 3 credits

Mathematics of Finance

Simple and compound interest, annuities, amortization, depreciation, valuation of securities, and insurance. P: MATH 1000, 1530 or mathematics proficiency level of 20 or above. F S Su

MATH 2430 3 credits

Elementary Statistics

Frequency distributions, graphical representation, basic probability, binomial distribution, normal distribution, estimation, hypothesis testing, correlation, and regression. P: MATH 1000, 1530 or mathematics proficiency level of 20 or above. F S Su

MATH 2450 5 credits

Precalculus

Inequalities, polynomial and rational functions, exponential and logarithmic functions, trigonometric functions, complex numbers, theory of equations, systems of equations, sequences, binomial theorem, and conic sections. P: MATH 1000 or mathematics proficiency level of 20 or above. F S Su

MATH 2530 3 credits

Trigonometry and Analytic Geometry

Trigonometric and inverse trigonometric functions, trigonometric identities and formulas, solution of triangles, complex numbers, exponential and logarithmic functions, conic sections, polar coordinates. (Students will not receive credit for both 2450 and 2530.) P: MATH 1530 with a grade of "C" or better or mathematics proficiency level of 30 or above. F S Su

MATH 2630 3 credits

Calculus with Applications

Functions, limits, rates of change, differentiation, integration; with applications in the fields of business and economics. P: MATH 1530, 1630, 2450, or mathematics proficiency level of 30 or above. S

MATH 2640 4 credits

Calculus and Analytic Geometry

Limits and continuity, differentiation, differentials, antiderivatives, the definite integral and applications. P: MATH 2450 or 2530 with a grade of "C" or better or mathematics proficiency level of 40. F S Su

MATH 2730 3 credits

Discrete Mathematics

Logic, sets, combinations, relations, networks and algebraic structures. P: MATH 2640. F

MATH 2740 4 credits

Calculus and Analytic Geometry

Further techniques and applications of integration, analytic geometry in two dimensions, polar coordinates, further study of limits, and infinite series. P: MATH 2640 with a grade of "C" or better or advanced placement. F S Su

MATH 2840 4 credits

Calculus and Analytic Geometry

Analytic geometry of three dimensions, vector analysis, partial differentiation, multiple integrals, and line integrals. P: MATH 2740 with a grade of "C" or better or advanced placement. F S Su

MATH 3020 3 credits

Teaching of Mathematics in the Middle and Secondary School

A study of the mathematics curriculum 6-12 and the methods and materials used in teaching middle and secondary school mathematics. P: MATH 2740. Every third semester.

MATH 3030 3 credits

Mathematics for Elementary/Middle School Teachers

Measurement, area, perimeter, volume, algebra, coordinate geometry, constructions, congruence mappings, similarity mappings, topological mappings; special emphasis on the relationship of these topics to the elementary school mathematics curriculum, including modeling appropriate methods of teaching. P: MATH 2030 with a grade of "C" or better. (Open only to elementary education majors.) F S

MATH 3040 4 credits

Algebra and Geometry for Elementary/Middle School Teachers

Extends the teacher's knowledge of mathematics through the study of algebra, number theory, motion geometry, inductive and deductive reasoning, and problem solving. Calculators and computers will be used to investigate topics of mathematics by using spreadsheets, geometric investigation software, graphing software, graphing calculators, and the LogoWriter computer language. Students will learn to use manipulatives to help students understand mathematical concepts. This will include Algebra Lab Gear, D.I.M.E. materials, and geoboards. P: MATH 3030 with a grade of "C" or better. S

MATH 3130 3 credits

College Geometry

Topics in Euclidean geometry include: classical theorems, transformational geometry and Euclidean construction. Axiomatic structures are studied by examining finite geometries. P: MATH 2740. S

MATH 3230 3 credits

Linear Algebra

Matrices, systems of equations, determinants, eigenvalues, eigenvectors, vector spaces, linear transformations, and diagonalization. P: MATH 2740 with a grade of "C" or better. F S Su

MATH 3330 3 credits

Modern Algebra

Study of the structure of abstract algebraic systems through formal proof; deals primarily with groups, but also examines other algebraic systems including rings and fields. P: MATH 3230 with a grade of "C" or better. S

MATH 3630 3 credits

Differential Equations I

Solutions of first order differential equations, linear homogeneous and non-homogeneous differential equations, Laplace transforms, linear systems and applications. P: MATH 2840 with a grade of "C" or better. F S Su

MATH 3730 3 credits

Numerical Analysis

An introduction to numerical methods stressing the basic operations of computations, approximation, interpolation, numerical differentiation and integration, and the numerical solution of equations. P: MATH 2840 and fluency in a programming language. S

MATH 3830 3 credits

Differential Equations II

Series solutions of linear differential equations, nonlinear series solutions, specific power series equations, numerical methods, partial differential equations, orthogonal sets, and Fourier series. P: MATH 3630 with a grade of "C" or better. S

MATH 4030 3 credits

Statistical Methods with Applications

Introduction to probability, density and distribution functions, special discrete and continuous distributions, estimation, hypothesis testing, chi-square, correlation and regression. P: MATH 2740 with a grade of "C" or better. F S Su

MATH 4040 3 credits

Statistics and Probability

A thorough investigation of the density functions, means, variances, and moment generating functions for some common probability distributions. Gamma and beta distributions. Tchebysheff's theorem. Joint, marginal, and conditional probability distributions. Probability distributions of functions of random variables. Order statistics. Sampling distributions and the Central Limit Theorem. Point estimators. Method of moments. Maximum likelihood estimators. Hypothesis testing including power of the test and the likelihood ratio test. Simple and multiple linear regression. Analysis of variance. Nonparametric statistics. P: MATH 4030. S

MATH 4320 2 credits

History and Development of Mathematical Concepts

A study of the history and development of mathematics from the primitive origins of numbers to the modern mathematics of the 20th century. P: MATH 2740. F (odd)

MATH 4330 3 credits

Theory of Numbers

Properties of numbers, Euclid's Algorithm, prime numbers, congruences, residue classes, Wilson's, Euler's and Fermat's Theorems and their consequences, and other selected topics. P: MATH 2740. F (even)

MATH 4430 3 credits

Advanced Calculus

Sequences, limits, continuity, differentiation, integration, infinite series, and uniform convergence. P: MATH 2840 with a grade of "C" or better. F

MATH 4530 3 credits

Complex Variables

Complex numbers, complex functions, differentiation, elementary functions, integration and infinite series. P: MATH 2840 with a grade of "C" or better. S

MATH 4620 1-3 credits

Topics in Modern Mathematics

Topics to be selected by the instructor. P: MATH 2840. Taught on demand.

MATH 4660 1-8 credits

Cooperative Field Experience

Enhancement of the educational experience through placement of a student with a cooperating agency, business, industry, or institution. The nature of the assignment, type of experience, number of credits and evaluation procedure to be stipulated in a statement of agreement (learning contract) between the student and department.

MATH 4810 1 credit

Senior Seminar

Development of library research techniques, organization and presentation of research findings beyond those formed in existing courses. P: 12 credits of mathematics selected from MATH 3100 and above. F S

MATH 4920 1-3 credits

Independent Study in Mathematics

P: Consent of department chair.