## Mathematics: Contact Information

**Mathematics Department**

University of Wisconsin-Platteville

435 Gardner Hall

1 University Plaza, Platteville, WI 53818

E-mail: math@uwplatt.edu

Tel: 608.342.1741

Fax: 608.342.1767

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**MATH 0010 - Elementary Algebra (syllabus) **

This course is a comprehensive study of the topics generally found in a first year high school algebra course, and provides a foundation for success in required college mathematics courses. (This course is required for students with a mathematics proficiency level of 00. This course does not carry UW-Platteville degree credit.) F, S

**MATH 0015 - Intermediate Algebra (syllabus) **

Fundamental operations, factoring, fractions, equations, functions, graphing, exponents and radicals, linear equations, systems of equations, inequalities, polynomials, rational expressions, quadratics and arithmetic and geometric sequences. P: Mathematics 10 with a grade of "C" or better or proficiency level of 10 or above. This course does not carry UW-Platteville degree credit. F, S, Su

**MATH 1030 - Mathematics for Educators I (3 cr.) (syllabus) **

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; history and development of number systems; sets; functions and algebraic reasoning; and fundamental operations with whole numbers and integers. Throughout the course, students will be expected to explain their reasoning using appropriate vocabulary and notation. P: MATH 15 with a grade of "C" or better or mathematics proficiency level of 15 or above. (Open only to elementary education majors.) F, S

**MATH 1530 - College Algebra (3 cr.) (syllabus) **

Equations and inequalities, functions and their graphs, polynomial and rational functions, exponential and logarithmic functions, complex numbers, and systems of equations. P: MATH 15 with a grade of "C" or better or mathematics proficiency level of 15 or above. (This course is equivalent to the first half of MATH 2450. Students will not receive credit for both MATH 1530 and MATH 2450. MATH 1530 and MATH 2530 may not be taken concurrently.) F, S, Su

**MATH 1630 - Finite Mathematics with Applications (3 cr.) (syllabus) **

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 15 or MATH 1530, or mathematics proficiency level of 15 or above. GE:MATH. F, S

M**ATH 1730 - Mathematics of Finance (3 cr.) (syllabus) **

Simple and compound interest, annuities, amortization, depreciation, valuation of securities, and bonds. P: MATH 15 or MATH 1530, or mathematics proficiency level of 15 or above. GE:MATH. F, S, Su

**MATH 1830 - Elementary Statistics (3 cr.) (syllabus) **

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. P: MATH 15 or MATH 1530, or mathematics proficiency level of 15 or above. GE:MATH. F, S, Su

**MATH 1930 - Mathematical Explorations (3 cr.) (syllabus) **

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 instructor's 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 instructor's interests. P: MATH 15 or MATH 1530 or a mathematics proficiency level of 15 or above. F, S

M**ATH 2030 - Mathematics for Educators II (3 cr.) (syllabus) **

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. P: MATH 1030 with a grade of "C" or better. (Open only to elementary education majors.) GE:MATH/EDUC. F, S

**MATH 2450 - Precalculus (5 cr.) (syllabus) **

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. P: MATH 15 with a grade of "B" or better or mathematics proficiency level of 20 or above. (Students with a grade of "C" in MATH 15 should take MATH 1530). (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). GE:MATH. F, S, Su

**MATH 2530 - Trigonometry and Analytic Geometry (3 cr.) (syllabus) **

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. P: MATH 1530 with a grade of "C" or better or mathematics proficiency level of 30 or above. (This course is equivalent to the second half of MATH 2450. Students will not receive credit for both MATH 2450 and MATH 2530). GE:MATH. F, S, Su

**MATH 2630 - Calculus with Applications (3 cr.) (syllabus) **

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

**MATH 2640 - Calculus and Analytic Geometry I (4 cr.) (syllabus) **

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

**MATH 2730 - Discrete Mathematics (3 cr.) (syllabus) **

Logic, sets, combinations, relations, networks and algebraic structures. P: MATH 2450 or MATH 2530 or MATH 2630 or MATH 2640 with a grade of "C" or better, or mathematics proficiency level of 40. F, S

**MATH 2740 - Calculus and Analytic Geometry II (4 cr.) (syllabus) **

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. P: MATH 2640 with a grade of "C" or better or advanced placement. F, S, Su

**MATH 2840 - Calculus and Analytic Geometry III (4 cr.) (syllabus) **

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 - Teaching of Mathematics in the Middle and Secondary School (3 cr.) (syllabus) **

This course is designed to prepare prospective candidates to become middle school and/or high school mathematics instructors. Each candidate will be responsible for creating a course portfolio. This portfolio will include topics covered in the course and materials that may help you in the mathematics classroom. Each candidate will be responsible for teaching mini-lessons to the class. This class requires participation.

The course is divided into four strands. Each of these strands is interwoven throughout the duration of the course. These strands are middle school and high school mathematical content, strategies for teaching mathematics, classroom management, and professional growth. P: MATH 2640 and 2740 with a grade of "B" or better.

**MATH 3030 - Mathematics for Educators III (3 cr.) (syllabus) **

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. P: MATH 2030 with a grade of "C" or better. (Open only to elementary education majors.) F, S

**MATH 3040 - Mathematics Seminar for Middle School Teachers (4 cr.) (syllabus) **

This course is intended to provide a background for teaching algebra and geometry in the middle school. The 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. (Open only to students in the early adolescent education program). P: MATH 3030 with a grade of "C" or better. S

**MATH 3130 - College Geometry (3 cr.) (syllabus) **

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 the course P: MATH 2640 and junior standing. S

**MATH 3230 - Linear Algebra (3 cr.) (syllabus) **

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 learn definitions, theorems, and proofs. P: MATH 2740 with a grade of "C" or better. F, S, Su

**MATH 3330 - Modern Algebra (3 cr.) (syllabus) **

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. F, S

**MATH 3630 - Differential Equations I (3 cr.) (syllabus) **

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 - Numerical Analysis (3 cr.) (syllabus) **

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, numerical calculus, and numerical solutions of ordinary differential equations. Other topics may be added as time permits. P: MATH 3230 and fluency in a programming language. S (odd years)

**MATH 3830 - Differential Equations II (3 cr.) (syllabus) **

Linear systems of differential equations, nonlinear systems, series solutions of differential equations, partial differential equations, orthogonal sets, and Fourier series. P: MATH 3630 with a grade of "C" or better. S

**MATH 4030 - Statistical Methods with Applications (3 cr.) (syllabus) **

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 - Statistics and Probability (3 cr.) (syllabus) **

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. P: MATH 4030 with a grade of "C" or better. F

**MATH 4320 - History and Development of Mathematical Concepts (3 cr.) (syllabus) **

A study of the history and development of mathematics from the primitive origins of numbers to modern mathematics. P: MATH 2640 and junior standing. F (odd years)

**MATH 4330 - Theory of Numbers (3 cr.) (syllabus) **

Integers, divisibility, prime numbers, Euclidean algorithm, linear Diophantine equations, congruences, Wilson's and Euler's theorems, Fermat's little theorem, and other selected topics. P: MATH 2640 and junior standing. F (even years)

**MATH 4430 - Advanced Calculus (3 cr.) (syllabus) **

Study, through formal proof, of sequences, limits, continuity, differentiation, integration, infinite series, and uniform convergence. P: MATH 2840 with a grade of "C" or better. F,S

**MATH 4530 - Complex Variables (3 cr.) (syllabus) **

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

**MATH 4620 - Topics in Modern Mathematics (1-3 cr.)**

Topics to be selected by the instructor. P: MATH 2840 with a grade of "C" or better.

**MATH 4660 - Cooperative Field Experience (1-8 cr.)**

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 is to be stipulated in a statement of agreement (learning contract) between the student and department.

**MATH 4810 - Senior Seminar (1 cr.) (syllabus) **

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 - Independent Study in Mathematics (1-3 cr.)**

P: Consent of department chair.

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Contact Information

**Mathematics Department**

University of Wisconsin-Platteville

435 Gardner Hall

1 University Plaza, Platteville, WI 53818

E-mail: math@uwplatt.edu

Tel: 608.342.1741

Fax: 608.342.1767