Mathematics Syllabi

Click on the course title to view the course syllabus.

MATH 0012 Mathematical Problem Solving

Credits: This course does not carry UW-Platteville degree credit.
Prerequisite: None
Term offered: Fall, Spring

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.

>>Click here to download MATH 0012 Mathematical Problem Solving syllabus.

MATH 0015 Intermediate Algebra

Credits: This course does not carry UW-Platteville degree credit.
Prerequisite: Mathematics 10 with a grade of "C-" or better or proficiency level of 10 or above.
Term offered: Fall, Spring, Summer

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.

>>Click here to download MATH 0015 Intermediate Algebra syllabus.

MATH 1030 Mathematics for Educators

Credits: 3
Prerequisite: MATH 0015 with a grade of "C-" or better or mathematics proficiency level of 15 or above. Open only to elementary education majors.
Term offered: Fall, Spring

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.

>>Click here to download MATH 1030 Mathematics for Educators syllabus.

MATH 1530 College Algebra

Credits: 3
Prerequisite: MATH 0015 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.
Term offered: Fall, Spring, Summer

Equations and inequalities, functions and their graphs, polynomial and rational functions, exponential and logarithmic functions, complex numbers, and systems of equations.

>>Click here to download MATH 1530 College Algebra syllabus.

MATH 1630 Finite Mathematics with Applications

Credits: 3
Prerequisite: MATH 0015 with a grade of "C-" or higher, or mathematics proficiency level of 15 or above.
Term offered: Fall, Spring

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. GE:MATH

>>Click here to download MATH 1630 Finite Mathematics with Applications syllabus.

MATH 1730 Mathematics of Finance

Credits: 3
Prerequisite: MATH 10, 12 or 15 with a grade of “C-” or better or mathematics proficiency level of 10 or above.
Term offered: Fall, Spring, Summer

Simple and compound interest, annuities, amortization, depreciation, valuation of securities, and bonds. GE:MATH

>>Click here to download MATH 1730 Mathematics of Finance syllabus.

MATH 1830 Elementary Statistics

Credits: 3
Prerequisite: MATH 10, 12 or 15 with a grade of “C-” or better or mathematics proficiency level of 10 or above.
Term offered: Fall, Spring, Summer

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. GE:MATH

>>Click here to download MATH 1830 Elementary Statistics syllabus.

MATH 1930 Mathematical Explorations

Credits: 3
Prerequisite: MATH 10, 12 or 15 with a grade of “C-” or better or mathematics proficiency level of 10 or above.
Term offered: Fall, Spring

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. GE:MATH

>>Click here to download MATH 1930 Mathematical Explorations syllabus.

MATH 2030 Mathematics for Educators II

Credits: 3
Prerequisite: MATH 1030 with a grade of "C-" or better. Open only to elementary education majors.
Term offered: Fall, Spring

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. GE:MATH/EDUC

>>Click here to download MATH 2030 Mathematics for Educators II syllabus.

STAT 2030 Data Visualization and Analysis

Credits: 3
Prerequisite: MATH 1830 or 4030 with a grade of "C-" or better; either MATH 1530 with a grade of "C-" or better or a math placement level of 20 or higher.
Term offered: Fall

Introductory course in finding, describing, managing and using datasets with statistical software in order to create useful statistical results in a variety of fields.

>>Click here to download STAT 2030 Data Visualization and Analysis syllabus.

MATH 2450 Precalculus

Credits: 5
Prerequisite: MATH 0015 with a grade of "B-" or better or mathematics proficiency level of 20 or above. Students with a grade of "C-" in MATH 0015 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.
Term offered: Fall, Spring, Summer

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. GE:MATH

>>Click here to download MATH 2450 Precalculus syllabus.

MATH 2530 Trigonometry and Analytic Geometry

Credits: 3
Prerequisite: 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.
Term offered: Fall, Spring, Summer

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. GE:MATH

>>Click here to download MATH 2530 Trigonometry and Analytic Geometry syllabus.

MATH 2630 Calculus with Applications

Credits: 3
Prerequisite: MATH 1530, MATH 1630 or MATH 2450 with a grade of "C-" or higher, or mathematics proficiency level of 30 or above.
Term offered: Fall, Spring

Functions, limits, rates of change, exponential and logarithmic functions differentiation, integration; with applications in the fields of business and economics. GE:MATH

>>Click here to download MATH 2630 Calculus with Applications syllabus.

MATH 2640 Calculus and Analytic Geometry I

Credits: 4
Prerequisite: MATH 2450 or MATH 2530 with a grade of "C-" or better, or mathematics proficiency level of 40.
Term offered: Fall, Spring, Summer

Limits and continuity, differentiation, differentials, antiderivatives, the definite integral and applications. GE:MATH.

>>Click here to download MATH 2640 Calculus and Analytic Geometry I syllabus.

MATH 2730 Discrete Mathematics

Credits: 3
Prerequisite: MATH 2640 with a grade of "C-" or better.
Term offered: Fall, Spring

Logic, sets, combinations, relations, graphs and discrete probability.

>>Click here to download MATH 2730 Discrete Mathematics syllabus.

MATH 2740 Calculus and Analytic Geometry II

Credits: 4
Prerequisite: MATH 2640 with a grade of "C-" or better or advanced placement.
Term offered: Fall, Spring, Summer

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.

>>Click here to download MATH 2740 Calculus and Analytic Geometry II syllabus.

MATH 2840 Calculus and Analytic Geometry III

Credits: 4
Prerequisite: MATH 2740 with a grade of "C-" or better or advanced placement.
Term offered: Fall, Spring, Summer

Analytic geometry of three dimensions, vector analysis, partial differentiation, multiple integrals, and line integrals.

>>Click here to download MATH 2840 Calculus and Analytic Geometry III syllabus.

MATH 3020 Teaching of Mathematics in the Middle and Secondary School

Credits: 3
Prerequisite: “B-” or better in both Math 2640 and 2740, junior standing, and admission to the School of Education.
Term offered: Fall, Spring

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.

>>Click here to download MATH 3020 Teaching of Mathematics in the Middle and Secondary School syllabus.

MATH 3030 Mathematics for Educators III

Credits: 3
Prerequisite: MATH 2030 with a grade of "C-" or better. Open only to elementary education majors.
Term offered: Fall, Spring

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.

>>Click here to download MATH 3030 Mathematics for Educators III syllabus.

MATH 3040 Mathematics Seminar for Middle School Teachers

Credits: 4
Prerequisite: MATH 2450, MATH 2530, or mathematics proficiency level of 40; and Math 3030 with a grade of C- or better. Open only to students in the early adolescent education program.
Term offered: Spring

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.

>>Click here to download MATH 3040 Mathematics Seminar for Middle School Teachers syllabus.

MATH 3130 College Geometry

Credits: 3
Prerequisite: MATH 2730 with a grade of "C-" or better.
Term offered: Spring

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.

>>Click here to download MATH 3130 College Geometry syllabus.

STAT 3130 Introduction to Applied Regression Analysis

Credits: 3
Prerequisite: MATH 1830 with a grade of "C-" or better and either MATH 1530 with a grade of "C-" or better or a math placement level of 20 or higher.
Term offered: Fall

A thorough investigation of regression methods used in statistics including linear regression models, multiple regression models, model building, residual analysis, and time series.Students may not receive credit for both STAT 3130 and MATH 4050.

>>Click here to download STAT 3130 Introduction to Applied Regression Analysis syllabus.

MATH 3230 Linear Algebra

Credits: 3
Prerequisite: MATH 2740 with a grade of "C-" or better.
Term offered: Fall, Spring, Summer

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.

>>Click here to download MATH 3230 Linear Algebra syllabus.

STAT 3230 Experimental Design and Analysis

Credits: 3
Prerequisite: STAT 3130 or MATH 4050 with a grade of "C-" or better.
Term offered: Spring

Fundamentals of Experimental Design, Completely Randomized designs, ANOVA, Factorial and 2^k designs, Block designs, Latin Square and Repeated Measures.

>>Click here to download STAT 3230 Experimental Design and Analysis syllabus.

MATH 3330 Modern Algebra

Credits: 3
Prerequisite: MATH 2730 with a grade of "C-" or better or consent of instructor and MATH 3230 with a grade of "C-" or better.
Term offered: Spring

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.

>>Click here to download MATH 3330 Modern Algebra syllabus.

MATH 3630 Differential Equations I

Credits: 3
Prerequisite: MATH 2840 with a grade of "C-" or better.
Term offered: Fall, Spring, Summer

Solutions of first order differential equations, linear homogeneous and non-homogeneous differential equations, Laplace transforms, linear systems and applications.

>>Click here to download MATH 3630 Differential Equations I syllabus.

MATH 3730 Numerical Analysis

Credits: 3
Prerequisite: MATH 3230 Linear Algebra with a C- or higher, and fluency in a programming language.
Term offered: Spring in the odd numbered years

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.

>>Click here to download MATH 3730 Numerical Analysis syllabus.

MATH 3830 Differential Equations II

Credits: 3
Prerequisite: MATH 3630 with a grade of "C-" or better.
Term offered: Spring

Linear systems of differential equations, nonlinear systems, series solutions of differential equations, partial differential equations, orthogonal sets, and Fourier series.

>>Click here to download MATH 3830 Differential Equations II syllabus.

MATH 4030 Statistical Methods with Applications

Credits: 3
Prerequisite: MATH 2740 with a grade of "C-" or better.
Term offered: Fall, Spring, Summer

Introduction to probability, density and distribution functions, special discrete and continuous distributions, estimation, hypothesis testing, chi-square, correlation and regression.

>>Click here to download MATH 4030 Statitical Methods with Applications syllabus.

MATH 4050 Applied Regression Analysis

Credits: 3
Prerequisite: MATH 4030 with a grade of "C-" or better.
Term offered: Fall

A thorough investigation of regression methods used in statistics including linear regression models, multiple regression models, model building, residual analysis, and time series.  Students in this course will also learn about the underlying mathematical models for the analyses.  Students may not receive credit for both STAT 3130 and MATH 4050.

>>Click here to download MATH 4050 Applied Regression Analysis syllabus.

STAT 4130 Applied Categorical Data Analysis

Credits: 3
Prerequisite:  MATH 1830 or 4030 with a grade of "C-" or better; either MATH 1530 with a grade of "C-" or better or a math placement level of 20 or higher.
Term offered: Spring in the odd numbered years

Introduction to categorical data analysis, including probability distribution, contingency tables, generalized linear models, logistic regression and logit models.

>>Click here to download STAT 4130 Applied Categorical Data Analysis syllabus.

STAT 4230 Applied Nonparametric Statistics

Credits: 3
Prerequisite:  MATH 1830 or 4030 with a grade of "C-" or better; either MATH 1530 with a grade of "C-" or better or a math placement level of 20 or higher.
Term offered: Fall in the odd numbered years

Introduction to distribution-free tests, confidence intervals, estimation; topics include one- and two-sample problems, one- and two-way analysis of variance, multiple comparisons, and correlation.

>>Click here to download STAT 4230 Applied Nonparametric Statistics syllabus.

MATH 4320 History and Development of Mathematical Concepts

Credits: 3
Prerequisite: MATH 2840 with a grade of "C-" or higher.
Term offered: Fall in the odd numbered years

A study of the history and development of mathematics from the primitive origins of numbers to modern mathematics.

>>Click here to download MATH 4320 History and Development of Mathematical Concepts syllabus.

MATH 4330 Theory of Numbers

Credits: 3
Prerequisite: MATH 2730 or MATH 3330 with a grade of "C-" or higher.
Term offered: Fall in the even numbered years

Integers, divisibility, prime numbers, Euclidean algorithm, linear Diophantine equations, congruences, Wilson's and Euler's theorems, Fermat's little theorem, and other selected topics.

>>Click here to download MATH 4330 Theory of Numbers syllabus.

MATH 4430 Advanced Calculus

Credits: 3
Prerequisite: MATH 2730 with a grade of "C-" or better or consent of instructor and MATH 2840 with a “C-” or better.
Term offered: Fall

Study, through formal proof, of sets, functions, the real numbers, sequences, limits, continuity, differentiation and integration.

>>Click here to download MATH 4430 Advanced Calculus syllabus.

MATH 4530 Complex Variables

Credits: 3
Prerequisite: MATH 2840 with a grade of "C-" or better.
Term offered: Spring in the even numbered years

Complex numbers, complex functions, differentiation, elementary functions, integration and infinite series.

>>Click here to download MATH 4530 Complex Variables syllabus.

MATH 4620 Topics in Modern Mathematics

Credits: 1-3
Prerequisite: MATH 2840 with a grade of "C-" or better.

Topics to be selected by the instructor.

MATH 4660 Cooperative Field Experience

Credits: 1-8

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

Credits: 1
Prerequisite: Twelve credits of mathematics selected from MATH 3100 and above including either MATH 4430 or MATH 3330 with a grade of "C-" or higher.
Term offered: Fall, Spring

Development of library research techniques, organization and presentation of research findings beyond those formed in existing courses.

>>Click here to download MATH 4810 Senior Seminar syllabus.

MATH 4920 Independent Study in Mathematics

Credits: 1-3
Prerequisite: Consent of department chair.