Mathematics Teaching

This is the first in a two-semester sequence of courses that introduces students to fundamental aspects of the field of computing; focusing on problem-solving, software design concepts and their realization as computer programs. Topics include procedural abstraction, control structures, iteration, data types and their representation. An introduction to a high-level language, for the purpose of gaining mastery of these principles, will be provided in lectures and hands-on laboratory experiences.Prerequisite: C- or better in MAT090, an ACT math score of 20 or above (SAT 480 or above), or a passing score on the MAT090 placement exam.(4 credits) (NWCore option under Quantitative Reasoning)

This course is a study of functions, limits, derivatives and integrals with a strongemphasis on both theory and applications.Note: Meets four times per week.Prerequisites: C- or higher in MAT109, or an ACT math score of at least24 (SAT 550 or above), or permission of mathematics department chair.(4 credits) (NWCore option under Quantitative Reasoning)

An introduction to the language and logic of mathematical proof via topics in discrete mathematics. Topics will include logic, elementary number theory, basic set theory and methods of mathematical proof (direct proof, indirect proof, induction).Prerequisite: C- or better in MAT112 or permission of instructor.(3 credits)

A study of transcendental functions, techniques of integration, improper integration, sequences, series, polar coordinates and conic sections. Note: Meets four times per week. Prerequisite: C- or better in MAT112QR or permission of instructor. (4 credits)

A study of the algebra of matrices and vector spaces including matrix operations, systems of equations, determinants, properties of real vector spaces, eigenvalues and eigenvectors. Prerequisite: C- or better inMAT112QR, 180 or permission of instructor. (3 credits)

A study of topics in Euclidean geometry as well as axiomatic systems, non- Euclidean geometry, and projective geometry. Prerequisite: C- or better inMAT180WI or permission of instructor. (3 credits, alternate years, consultdepartment)

This course is designed to introduce topics in probability and statistics with an emphasis on problems in the sciences. We will study discrete and continuous distributions, estimation and hypothesis testing, p-values, correlation, and simple linear regression. There will be three main sections in this course, examining descriptive statistics (the nature of data and how to summarize it), basic probability concepts (the mathematical study of uncertainty), and inferential statistics (making claims or decisions based on one or more sets of data). Note: Students may receive credit for only one course among MAT116QR, MAT117QR andMAT208QR.Prerequisites: C- or better in MAT090, an ACT math score of 20 or above (SAT 480 or above), a passing score on the basic algebra placement exam, or permission of instructor.(3 credits)(NWCore option under Quantitative Reasoning)

The course is designed to study statistical methodology commonly used in business including descriptive statistics (the nature of data and how to summarize it), basic probability concepts, and inferential statistics (making claims or decisions from one or more sets of data using confidence intervals and multiple types of hypothesis testing).Note: Students may receive credit for only one course among MAT116QR, MAT117QR and MAT208QR.Prerequisites: C- or better in MAT090, an ACT math score of 20 or above (SAT 480 or above), a passing score on the basic algebra placement exam, or permission of instructor.(3 credits)(NWCore option under Quantitative Reasoning)