http://www.uwplatt.edu/mathematics

**Department Chair:** Barb Barnet

**Office:** 435 Gardner Hall

**Phone:** 608.342.1741

**E-mail:** barnetb@uwplatt.edu

## About the Department and Major

Welcome to the exciting world of mathematics. Mathematics has an extensive history of developing new ideas and enriching the sciences and engineering. With the progression of technology, mathematics has become increasingly important. It is used in areas as diverse as economics, psychology, linguistics, biology, management science, computer science and agriculture. Thus, both 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 elective courses are chosen with regard to career goals. Students who plan to work in business, industry or engineering related fields after graduation choose their electives from applied mathematics courses such as differential equations and numerical analysis. Students planning to work as an actuary or toward an advanced degree in statistics would include upper level probability and statistics courses. Those who plan to teach would choose courses in discrete math and the history of mathematics. Students who plan to pursue graduate work in mathematics would choose theoretical courses in algebra, analysis and geometry. Students who plan to work in cryptology might select a number theory course, while students planning a career that uses mathematical modeling in the biological sciences might choose a differential equations course.

UW-Platteville graduates with a major in mathematics have pursued a variety of careers such as teachers and professors, actuaries, statisticians, financial or market analysts, researchers, computer programmers or software engineers. A degree in mathematics can open the door to many opportunities.

## Mission

The purpose of the mathematics curriculum is to provide all students with quantitative skills to function proficiently in a societal and professional capacity. In addition to offering majors and minors in mathematics, the UW-Platteville Department of Mathematics offers courses to support both the general education requirements of the university 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 a high quality undergraduate education that will develop and enhance students’ computational and reasoning skills.

## Educational Goals and Learning Outcomes

The goals of the mathematics major at UW-Platteville are to:

- prepare students with the skills needed to pursue careers in education, business and industry
- provide a theoretical foundation that will prepare students to continue their study of mathematics or statistics at the graduate level
- provide students with opportunities to experience mathematics outside of their regular coursework

Upon graduation, mathematics majors at UW-Platteville should be able to:

- communicate mathematics effectively
- demonstrate a computational ability in solving a wide array of mathematical problems
- differentiate between valid and invalid mathematical reasoning
- develop mathematical ideas from basic axioms
- utilize mathematics to solve theoretical and applied problems
- identify applications of mathematics in other disciplines and in society

## Placement

Initial placement of students in mathematics courses will be determined by the UW-Platteville Department of Mathematics on the basis of scores on the UW System Mathematics Placement Test or acceptable college transfer credit in mathematics. Advanced placement credit for calculus and analytic geometry is awarded only to students who satisfactorily complete the College Entrance Examination Board Advanced Placement Examination in Calculus. Upon request students will receive:

- four credits for MATH 2640 if they receive a score of four or five on the Advanced Placement Calculus AB examination;
- three credits for MATH 2630 if they receive a score of three on the Advanced Placement Calculus AB examination;
- eight credits for MATH 2640 and MATH 2740 if they receive a score of four or five on the Advanced Placement Calculus BC examination; or
- four credits for MATH 2640 if they receive a score of three on the Advanced Placement Calculus BC examination.
- three credits for MATH 1830 Elementary Statistics is awarded to students having received a score of three, four or five on the Advanced Placement Statistics examination.

Students taking sequential courses in mathematics must attain a grade of “C-” or better before taking the succeeding course.

## Calculator Policies

Many of the courses in the department require calculators. However, there are some restrictions as to what specific types of calculators may or may not be used in specific courses. Please go to the department website at www.uwplatt.edu/mathematics to find a link to the current calculator policies.

## General Requirements Bachelor of Science Degree

Code | Title | Credits |
---|---|---|

Total for graduation | 120 | |

General education | 44-58 | |

Major studies | 40 or 64 | |

Mathematics Major OR Mathematics Major in Secondary Education | 40 | |

Mathematics Major with Emphasis in Actuarial Science OR Emphasis in Finance | 64 |

## Academic Standards

A grade of “C-” or better is required in all mathematics courses counted toward degree requirements.

**MATH 1030 Mathematics for Educators I 3 Credits**

Math 1030 is the first semester in a three-semester sequence of integrated content and methods courses for preservice teachers. It is open only to students in elementary education pursuing certification levels B-11 or 10-14. (The course is not intended for students pursuing certification level 10-21.) Topics covered include problem solving, formal and informal argument, history and development of number systems, sets, fundamental operations with whole numbers and integers, foundational work with functions, and selected topics from statistics.**Components: **Class**Prereqs/Coreqs: **P: MATH 15 with a grade of "C-" or better or mathematics proficiency level of 15 or above. (Open only to Elementary Education majors)**Typically Offered:** Fall/Spring

**MATH 12 Mathematical Problem Solving 3 Credits**

Mathematical modeling and basic algebra, including fractions and decimals, algebraic expressions and functions, and systems of linear equations and inequalities. Problem solving methods and strategies will be emphasized, as well as success skills such as study skills, time management, and note-taking. (This course does not carry UWP degree credit.)**Components: **Class**Typically Offered:** Fall/Spring

**MATH 15 Intermediate Algebra 3 Credits**

Fundamental operations, factoring, fractions, equations, functions, graphing, exponents and radicals, linear equations, systems of equations, inequalities, polynomials, rational expressions, and quadratics. (This course does not carry UWP degree credit.)**Components: **Class**Prereqs/Coreqs: **P: MATH 10 or MATH 12 with a "C-" or better or mathematics proficiency level of 10 or above**Typically Offered:** Fall/Spring/Summer

**MATH 1530 College Algebra 3 Credits**

Equations and inequalities, functions and their graphs, polynomial and rational functions, exponential and logarithmic functions, complex numbers, systems of equations. This course is equivalent to the first half of Math 2450. Students will not receive credit for both Math 1530 and Math 2450.**Components: **Class**Prereqs/Coreqs: **P: MATH 15 with a grade of "C-" or better or mathematics proficiency level of 15 or above. (MATH 1530 and MATH 2530 may not be taken concurrently)**Typically Offered:** Fall/Spring/Summer

**MATH 1630 Finite Mathematics with Applications 3 Credits**

Coordinate systems and graphs, matrices, linear systems, linear programming (geometric approach), set theory, counting techniques, probability, Markov chains.**Components: **Class**GE: **Math competency**Prereqs/Coreqs: **P: MATH 15 with a C- or better or mathematics proficiency level of 15 or above**Typically Offered:** Fall

**MATH 1730 Mathematics of Finance 3 Credits**

Simple and compound interest, annuities, amortization, depreciation, valuation of securities, and bonds.**Components: **Class**GE: **Math competency**Prereqs/Coreqs: **P: MATH 10 or MATH 12 or MATH 15 with a C- or better or mathematics proficiency level of 10 or above**Typically Offered:** Fall/Spring/Summer

**MATH 1830 Elementary Statistics 3 Credits**

An introduction to statistical analytical methods including graphing distributions, numerical summaries, linear regression and correlation, the normal distribution, confidence intervals and hypothesis tests for means and proportions, analyzing two-way tables, and analysis of variance. Minitab will be used throughout the course.**Components: **Class**GE: **Math competency**Prereqs/Coreqs: **P: MATH 10 or MATH 12 or MATH 15 with a C- or better or mathematics proficiency level of 10 or above**Typically Offered:** Fall/Spring/Summer

**MATH 1930 Mathematical Explorations 3 Credits**

A course to enrich the students general education by presenting the spirit and some insights of mathematics. The course satisfies the Mathematics Competency requirement, but will not serve as a prerequisite for further math courses. Topics will illustrate the nature of contemporary mathematics and the relationship between mathematics and our cultural heritage. Some of the content and format of the course may vary depending on the instructors interests. All instructors of the course will include a common unit on mathematical reasoning and problem solving. Other content and format of the course may vary depending on the instructors interests.**Components: **Class**GE: **Math competency**Prereqs/Coreqs: **P: MATH 10 or MATH 12 or MATH 15 with a C- or better or mathematics proficiency level of 10 or above**Typically Offered:** Fall/Spring

**MATH 2030 Mathematics for Educators II 3 Credits**

Math 2030 is the second semester in a three-semester sequence of integrated content and methods courses for preservice teachers. It is open only to students in elementary education pursuing certification levels B-11 or 10-14. (The course is not intended for students pursuing certification level 10-21.) Topics covered include number theory; composition and decomposition of numbers including primes, factors, and multiples; using physical models to develop concepts of and operations on rational numbers; proportional reasoning; and number sense.**Components: **Class**GE: **Math (Elem/Mdl Educ Only)**Prereqs/Coreqs: **P: MATH 1030 with a grade of "C-" or better. (Open only to Elementary Education majors)**Typically Offered:** Fall/Spring

**MATH 2450 Precalculus 5 Credits**

Solving equations and inequalities, functions and their graphs, polynomial and rational functions, exponential and logarithmic functions, trigonometric and inverse trigonometric functions, trigonometric identities and formulas, complex numbers, systems of equations, and conic sections. This course is equivalent to taking both Math 1530 and Math 2530. Students who have credit for Math 1530 or Math 2530 should not take Math 2450.**Components: **Class**GE: **Math competency**Prereqs/Coreqs: **P: MATH 15 with a grade of "B-" or better or mathematics proficiency level of 20 or above**Typically Offered:** Fall/Spring/Summer

**MATH 2530 Trigonometry and Analytic Geometry 3 Credits**

Functions and their graphs, trigonometric and inverse trigonometric functions, trigonometric identities and formulas, solution of triangles, complex numbers, exponential and logarithmic functions, and conic sections. This course is equivalent to the second half of Math 2450. Students will not receive credit for both Math 2450 and Math 2530.**Components: **Class**GE: **Math competency**Prereqs/Coreqs: **P: MATH 1530 with a grade of "C-" or better or mathematics proficiency level of 30 or above**Typically Offered:** Fall/Spring/Summer

**MATH 2630 Calculus with Applications 3 Credits**

Functions, limits, rates of change, exponential and logarithmic functions, differentiation, integration; with applications in the fields of business and economics.**Components: **Class**GE: **Math competency**Prereqs/Coreqs: **P: MATH 1530 or MATH 1630 or MATH 2450 with a grade of "C-" or better, or mathematics proficiency level of 30 or above**Typically Offered:** Spring

**MATH 2640 Calculus and Analytic Geometry I 4 Credits**

Limits and continuity, differentiation, differentials, antiderivatives, the definite integral and applications.**Components: **Class**GE: **Math competency**Prereqs/Coreqs: **P: MATH 2450 or MATH 2530 with a grade of "C-" or better, or mathematics proficiency level of 40**Typically Offered:** Fall/Spring/Summer

**MATH 2730 Discrete Mathematics 3 Credits**

Logic, sets, combinations, relations, graphs, and discrete probability.**Components: **Class**Prereqs/Coreqs: **P: MATH 2640 with a grade of "C-" or better**Typically Offered:** Fall/Spring

**MATH 2740 Calculus and Analytic Geometry II 4 Credits**

Derivatives and integrals involving exponential, logarithmic, and inverse trigonometric functions, further study of limits, further techniques and applications of integration, sequences and series, polar coordinates, and parametric equations.**Components: **Class**Prereqs/Coreqs: **P: MATH 2640 with a grade of "C-" or better or advanced placement**Typically Offered:** Fall/Spring/Summer

**MATH 2840 Calculus and Analytic Geometry III 4 Credits**

Analytic geometry of three dimensions, vector analysis, partial differentiation, multiple integrals, and line integrals.**Components: **Class**Prereqs/Coreqs: **P: MATH 2740 with a grade of "C-" or better or advanced placement**Typically Offered:** Fall/Spring/Summer

**MATH 3020 Teaching of Mathematics in the Middle and Secondary School 3 Credits**

An analysis of the mathematics studied in the middle and secondary schools. Topics include the principles and standards implemented by the NCTM for teaching mathematics and the methods and materials used in educating students in mathematics.**Components: **Class**Prereqs/Coreqs: **P: MATH 2640 and MATH 2740 with a "B-" or better and junior standing and admission to the School of Education**Typically Offered:** Fall

**MATH 3030 Mathematics for Educators III 3 Credits**

Math 3030 is the third semester in a three-semester sequence of integrated content and methods courses for preservice teachers. It is open only to students in elementary education pursuing certification levels B-11 or 10-14. (The course is not intended for students pursuing certification level 10-21). Topics covered include names, properties, and relationships of two- and three-dimensional shapes; spatial sense; transformations including rotations, reflections, and translations; coordinate geometry; concepts of measurement including measurable attributes, standard and non-standard units, precision and accuracy, use of appropriate tools, the structure of systems of measurement; measurement including length, area, volume, size of angles, weight, mass, and temperature; indirect measurement and its uses, including developing formulas; formal and informal argument.**Components: **Class**Prereqs/Coreqs: **P: MATH 2030 with a grade of "C-" or better. (Open only to elementary education majors)**Typically Offered:** Fall/Spring

**MATH 3040 Mathematics Seminar for Middle School Teachers 4 Credits**

This course is intended to provide a background for teaching algebra and geometry in the middle school. This course will emphasize problem solving, communication, reasoning, representations, and making connections. Through problem-solving activities lead by either the instructor or students, the course will emphasize specific topics such as proportional reasoning, pattern finding, generalizing functional relationships, solving equations, area, perimeter, and volume. In particular, the course will emphasize the links between algebra and geometry, and when appropriate, will use relevant manipulatives including technology. The course will also emphasize pedagogical implications of current research regarding the teaching and learning of algebra and geometry.**Components: **Class**Prereqs/Coreqs: **P: MATH 2450 or MATH 2530 or mathematics proficiency level of 40 and MATH 3030 with a grade of "C-" or better.**Typically Offered:** Spring

**MATH 3130 College Geometry 3 Credits**

Topics from Euclidean geometry including classical theorems, transformational geometry, and Euclidean constructions. Non-Euclidean topics include inversion and reciprocation, as well as some ideas from projective geometry. A dynamic geometry software program is used extensively to illustrate ideas in this course.**Components: **Class**Prereqs/Coreqs: **P: Math 2730 with a "C-" or better**Typically Offered:** Spring

**MATH 3230 Linear Algebra 3 Credits**

Matrices, systems of equations, determinants, eigenvalues, eigenvectors, vector spaces, linear transformations, and diagonalization. This class is intended to introduce students to formal mathematics. Students will be expected to write definitions, theorems, and proofs.**Components: **Class**Prereqs/Coreqs: **P: MATH 2740 with a grade of "C-" or better**Typically Offered:** Fall/Spring/Summer

**MATH 3330 Modern Algebra 3 Credits**

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.**Components: **Class**Prereqs/Coreqs: **P: MATH 2730 and MATH 3230 with a grade of "C-" or better in each or consent of instructor.**Typically Offered:** Spring

**MATH 3630 Differential Equations I 3 Credits**

Solutions of first order differential equations, linear homogeneous and nonhomogeneous differential equations, Laplace transforms, linear systems and applications.**Components: **Class**Prereqs/Coreqs: **P: MATH 2840 with a grade of "C-" or better**Typically Offered:** Fall/Spring/Summer

**MATH 3730 Numerical Analysis 3 Credits**

This course is intended to provide an introduction to numerical methods. Topics will include computer arithmetic, solving nonlinear equations, numerical linear algebra, interpolation and curve fitting, and numerical differentiation and numerical integration.**Components: **Class**Prereqs/Coreqs: **P: MATH 3230 with a "C-" or better and fluency in a programming language**Typically Offered:** Spring-ODD

**MATH 3830 Differential Equations II 3 Credits**

Linear systems of differential equations, nonlinear systems, series solutions of differential equations, partial differential equations, orthogonal sets, and Fourier series.**Components: **Class**Prereqs/Coreqs: **P: MATH 3630 with a grade of "C-" or better**Typically Offered:** Spring

**MATH 4030 Statistical Methods with Applications 3 Credits**

Introduction to probability, density and distribution functions, special discrete and continuous distributions, estimation, hypothesis testing, chi-square, correlation and regression.**Components: **Class**Prereqs/Coreqs: **P: MATH 2740 with a grade of "C-" or better**Typically Offered:** Fall/Spring/Summer

**MATH 4040 Statistics and Probability 3 Credits**

A thorough investigation of more advanced applications in statistics including joint distributions, linear regression, multiple regression, design of experiments for a single factor and multiple factors, analysis of variance, nonparametric statistics, and statistical quality control.**Components: **Class**Prereqs/Coreqs: **P: MATH 4030 with a grade of "C-" or better**Typically Offered:** Fall

**MATH 4320 History and Development of Mathematical Concepts 3 Credits**

A study of the history and development of mathematics from the primitive origins of numbers to modern mathematics.**Components: **Class**Prereqs/Coreqs: **P: MATH 2840 with a grade of "C-" or better**Typically Offered:** Fall-ODD

**MATH 4330 Theory of Numbers 3 Credits**

Integers, divisibility, prime numbers, Euclidean algorithm, linear Diophantine equations, congruences, Wilsons and Eulers theorems, Fermats little theorem, and other selected topics.**Components: **Class**Prereqs/Coreqs: **P: MATH 2730 or MATH 3330 with a grade of "C-" or better**Typically Offered:** Fall-EVEN

**MATH 4430 Advanced Calculus 3 Credits**

Study, through formal proof, of sets, functions, the real numbers, sequences, limits, continuity, differentiation, and integration.**Components: **Class**Prereqs/Coreqs: **P: Math 2730 with a C- or better or consent of instructor and Math 2840 with a C- or better**Typically Offered:** Fall/Spring

**MATH 4530 Complex Variables 3 Credits**

Complex numbers, complex functions, differentiation, elementary functions, integration, and infinite series.**Components: **Class**Prereqs/Coreqs: **P: MATH 2840 with a grade of "C-" or better**Typically Offered:** SpringRNG-EVEN

**MATH 4620 Topics in Modern Mathematics 1-3 Credits**

Topics to be selected by the instructor.**Components: **Class**Prereqs/Coreqs: **P: MATH 2840 with a grade of "C-" or better**Typically Offered:** DEMAND

**MATH 4660 Cooperative Field Experience 1-8 Credits**

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.**Components: **Field Studies**Typically Offered:** Fall/Spring

**MATH 4810 Senior Seminar 1 Credit**

Development of library research techniques, organization and presentation of research findings beyond those formed in existing courses.**Components: **Seminar**Prereqs/Coreqs: **P: 12 credits of mathematics selected from MATH 3100 and above, including either MATH 4430 or MATH 3330 with a grade of "C-" or better.**Typically Offered:** Fall/Spring

**MATH 4920 Independent Study in Mathematics 1-3 Credits**

**Components: **Independent Study**Typically Offered:** Fall/Spring

## Faculty and lecturers

Additional information about the Faculty and Lecturers below may be found in the Faculty and Academic Staff section of this catalog.

Attenborough, Holly

Barnet, Barbara A.

Black, Michael

Bohnhoff, Gretchen L.

Boyles, David C.

Calcaterra, Robert A.

Chang, Mu-Ling

Collins, Benjamin V.C.

Deis, Timothy M.

Dye, Amy M.

Esqueda, Jaclyn

Frayer, Christopher

Good, Jennifer

Grunow, Jodean E.

Haertzen, Kevin J.

Honken, Annette

Ira, Michael S.

Jeske, Clement T.

Kwon, Miyeon

Ljumanovic, Leonida

Muslu, Zehra

Paler, Mary Elvi A.

Reuter, Victoria

Swenson, James A.

Thrun, Jason R.

Ul-Haq, Irfan

Wackwitz, Daniel

Wills, Sheryl L.