- Basic Algebra
This course covers basic concepts of numbers (addition, subtraction, multiplication and division in the integers, rational numbers and real numbers), basic properties of exponents, linear equations in two variables and their applications in problem solving, inequalities, the use of formulas and an introduction to the rectangular coordinate system and graphing. Counts toward full-time student status but is not included in grade point averages. Credit attempted in Basic Algebra does not count toward graduation. Does not count toward a math major or minor. Does not fulfill the math requirement or any graduation requirement. (2 credits)
- Topics in Contemporary Mathematics
(3 credits)(NWCore option under Quantitative Reasoning) This course willexplore a variety of mathematical topics arising intoday's technological society and include a historical component ofmathematical developments. Possible topics include exposure to bothsymbolic and verbal logic, set notation, statistics, and finance. Aprimary goal will be to introduce, view, and gain a deeper appreciationfor a broad panorama of mathematical fields and how each field has beenutilized to help shape today's culture. Prerequisite: C- or better in MAT090 or an ACT math score of 20 or above(SAT 510 or above), or a passing score on basic algebra placement exam.
- Mathematics for Elementary Teachers
MAT 107 is a study of the topics necessary and helpful for competent andenthusiastic teaching of mathematics in the elementary school. The coursetopics include numbers and operations, number bases, fractions, decimals,ratio, measurement, geometry, number theory, data analysis, and probability.The goal of the course is to develop conceptual understanding of thesetopics through the 5 process standards proposed by the National Council ofTeachers of Mathematics: problem solving, reasoning and proof,communication, connections, and representations as well as the Standards forMathematical Content and Practice from the Common Core State Standards forMathematics. While not used exclusively, this course emphasizesinquiry-based activities that will help you to analyze and understandchildren's ways of thinking, effective communication of mathematical ideas,and use of appropriate manipulatives and technology for teaching. Courseenrollment is limited to Education majors and does not count toward a mathmajor or math minor. Prerequisite: A grade of C- or better in MAT 090, ACTmath score of 20 (SAT math 510), or a passing score on the MAT 090 placement exam. (3credits) (NWC option under Quantitative Reasoning)
- College Algebra
This course covers algebraic material prerequisite to middle schoolmathematics teaching and to the study of calculus. Topics include a thoroughstudy of functions (linear, polynomial, exponential, and logarithmic, aswell as combinations of functions through addition/subtraction,multiplication/division, and composition), inverse functions, solvingequations and systems of equations, matrices, and conic sections. Prerequisite: C- or better in MAT090 or an ACT math score of 20 or above(SAT 510 or above). (3 credits) (NWCore option under QuantitativeReasoning)
- Calculus for Management, Life and Social Sciences
(3 credits)(NWCore option under Quantitative Reasoning) This course is a study of functions, limits, derivatives and integrals with an emphasis on techniques and applications in business, biology, health, and social sciences.Note: Does not count toward a math major or mino.Prerequisites: C- or higher in MAT109, or an ACT math score of at least 22 (SAT 550 or above), or permission of mathematics department chair.
- Calculus I
(4 credits) (NWCore option under Quantitative Reasoning) This course is astudy 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 570 or above), or permission of mathematics department chair.
- Statistics for the Natural and Social Sciences
(3 credits)(NWCore option under Quantitative Reasoning) 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 MAT 116QR, MAT 117QR and MAT 208.Prerequisites: C- or better in MAT090, an ACT math score of 20 or above (SAT 510 or above), a passing score on the basic algebra placement exam, or permission of instructor.
- Applied Statistics for Management
(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 MAT 116QR, MAT 117QR and MAT 208.Prerequisites: C- or better in MAT090, an ACT math score of 20 or above (SAT 510 or above), a passing score on the basic algebra placement exam, or permission of instructor.
- Patterns, Functions and Algebra for Elementary Teachers
MAT127 is designed to help you understand and teach the aspects of algebrathat are highly relevant to elementary and middle school classrooms.Throughout the course, topics are explored through rich problems andinvestigations, enabling you to deepen your conceptual understanding ofalgebraic concepts and to enhance your pedagogical practices. Coursediscussions, activities, projects, and explorations will focus on thefollowing topics: Problem Solving, Solving Equations, Patterns & Sequences, Representing FunctionalRelationships, Quadratic Functions, Exponential Functions, Properties of Numbers andOperations, Algebraic Proof.Prerequisites: C- or better in MAT090 or ACT math score of 20 or above (SAT510 or above), or passing score on the MAT090 placement exam. (3 credits)Note: This course is limited to elementary education majors only. Does notcount toward a math major or minor.
- Logic and Discrete Mathematics
(3 credits)(Writing intensive) An introduction to the language and logic ofmathematical proof via topics in discrete mathematics. Topics will includelogic, elementary number theory, basic set theory and methods ofmathematical proof (direct proof, indirect proof, induction).Note: Other topics will be chosen from counting, functions, relations,recursion and graph theory.Prerequisite: C- or better in MAT 112QR or permission of instructor.
(4 credits)(NWCore option under Quantitative Reasoning) This course is a study of statistical methodology commonly used in thebiological and health sciences. We will start with examining basicdescriptive methods in statistics. We will then introduce the foundationalconcepts in probability. After these topics are explored, we will spend theremainder of the course looking at the uses and interpretation ofstatistics. Topics will include confidence intervals and hypothesis testsinvolving one or two samples, correlation and regression, contingencytables, and ANOVA.Note: Meets four times per week. Students may receive credit for only onecourse among MAT 116QR, MAT 117QR and MAT 208QR.Prerequisite: C- or better in MAT090, an ACT math score of 20 or above (SAT510 or above), or a passing score on MAT090 placement exam.
- Calculus II
A study of transcendental functions, techniques of integration, improper integration, sequences, series, polar coordinates and conic sections.Prerequisite: C- or better in MAT112 or permission of instructor.(4 credits)
- Calculus III
A study of the cylindrical and spherical coordinate systems, vectors in two dimensions and three dimensions, vector valued functions, functions of several variables, multiple integration, and vector calculus.Prerequisite: C- or better in MAT211 or permission of instructor.(4 credits)
- Advanced Statistical Methods
Further topics in probability and statistics selected from: multiple regression, ANOVA, non-linear regression, covariance, collinearity, time series and auto-correlation.Prerequisite: C- or better in MAT116 or 117 or permission of instructor.(3 credits, alternate years, consult department)
- Methods of Teaching Secondary School Mathematics
(3 credits, alternate years, consult department) Content, techniques and materials for teaching mathematics at the secondary or junior high level. This courserequires a30-hour practicum and is required of each candidate seeking anendorsement in this content area. Notes: Does not count toward a major or minor in mathematics. Students must earn a "C" or better in the special methods course in orderto fulfill program requirements for secondary licensure. Prerequisite: Junior or senior class standing.
- Differential Equations
A study of the elementary theory, methods of solution, and applications of differential equations, which may include topics such as first order ordinary differential equations, linear equations with constant coefficients, series solutions, variation of parameters, Laplace Transforms, linear systems, partial differential equations, and Fourier Series.Prerequisite: C- or better in MAT211 or permission of department chair.(3 credits)
- Probability and Statistics I
A post-calculus course in probability and statistics, which develops the theory of discrete and continuous distributions, expected value, random variables and inferential statistics. Prerequisites: C- or better in MAT116QR, 117QR, or 208QR and MAT112QR or permission of instructor. (3 credits; alternate years, consult department)
- Linear Algebra
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 in MAT112and 180 or permission of instructor.(3 credits)
- Topics in the History of Mathematics
- Data Validation
A course building student skills in working with large data sets gathered from real-world studies and experiments. Students will learn and experience best practices for data-type, range, constraint, code, cross-reference, structured, and textual validation. Prerequisites: CSC 170 and MAT 375. (3 credits; alternate years, consultdepartment)
- Econometrics with Regression Analysis
This course introduces students to the fundamentals of econometric analysis.The primary focus is on simple and multiple linear regressions usingcross-sectional data and time series regressions. We will also discussregression analysis using panel data. Rather than theoretical statistics,the course will emphasize application by using statistical packages andinterpreting the output. Prerequisites: MAT111QR or MAT112QR and MAT116QR orMAT117QR. (4 credits) Cross-referenced in economics.
- Advanced Regression Analysis
A course building on simple and multiple linear regression analysis to introduce multivariate analysis, logistic regression, moderation, matric formulation, residual analysis, transformations, regression diagnostics, multicollinearity, and variable selection techniques. Prerequisite: MAT 375. (3 credits; alternate years, consultdepartment)
- Directed Study
- College Geometry
A study of topics in Euclidean geometry as well as axiomatic systems, non- Euclidean geometry, and projective geometry.Prerequisite: C- or better in MAT180 or permission of instructor.(3 credits, alternate years, consult department)
- Real Analysis
A study of real-value functions including such topics as continuity, sequences and series, differentiation and integration. Students will also be introduced to the concept of a general metric space. Prerequisite: C- or better inMAT180WI and 211, or permission of instructor.(3 credits, alternate years, consult department)
- Probability and Statistics II
A continuation of Probability and Statistics I. Emphasis will be placed on functions of random variables and sampling distributions.Prerequisite: MAT316.(3 credits, alternate years, consult department)
(2 credits may apply toward the major)
- Introduction to Abstract Algebra
A study of groups, normal groups and factor groups, Cayley's Theorem, rings, ideals, homomorphisms, integral domains, fields, polynomial rings, field extensions and zeros of polynomials.Prerequisite: C- or better in MAT317 or permission of instructor.(3 credits, alternate years, consult department)
- Actuarial Exam Review
This course is a comprehensive review of all materials for SOA/CAS exams. The course is tailored to the specific exam the student is planning on taking.Prerequisite: permission of chair of department.(1 credit)
- Advanced Topics in Mathematics
This course will explore in more depth some of the mathematics that has been introduced in earlier courses. Topics will vary depending on the interests of students and faculty, but include complex analysis, graph theory and combinatorics, math modeling, number theory, topology, and measure theory. Prerequisites: MAT180, 212, and 317; or permission of instructor. (3 credits, offered as needed)
- Actuarial Modeling: Life Contingent Risk Models
This course is an introduction to the study of contingent payment models. Topics include: economics of insurance, individual risk models, survival distributions and life tables, benefit reserves, multiple life functions, multiple decrement models and introductory loss models. Prerequisite: MAT 316, with co-requisite MAT 416. (3 credits; alternate years, consult department)
- Actuarial Modeling: Loss Models
This course concentrates on loss models. Topics include: frequency and severity, aggregate loss models, discrete and continuous time ruin models, construction of empirical models, parameter estimation, and model selection. Prerequisite: MAT 316, with co-requisite MAT 416. (3 credits; alternate years, consult department)
- Bayesian Analysis
An introduction to Bayesian statistical modeling and inference and related computational strategies and algorithms, including posterior and predictive inference; Bayesian models in applications; methods of prior elicitation; and computation, visualization, and analysis of real-world data. Prerequisites: MAT 116QR and MAT 180WI. (3 credits;alternate years, consult department)
- Statistical Design
A course focusing on the theory and objectives critical to the design and implementation of sound statistical experiments and surveys, including survey and experimental methods. Emphasis on sampling techniques, instrument design, reliability and validity. Prerequisite: MAT 375. (3 credits; alternate years, consultdepartment)
- Mathematical Minds
This course will provide you with a survey of some of the fascinating andcritical ideas in mathematics, including historical proofs of some resultswhich are familiar to you through your previous mathematical study as wellas some results which will be new to you. We will also spend a significantamount of time discussing connections between mathematics and the Christianfaith, and we'll take a look into the background of the mathematically andscientifically significant number 0, which has had its own theologicalissues. And you'll explore the contributions of the various parts of yourcollege experience to the goals of the IGE program and your progress inestablishing personal commitments and a sense of vocation. Prerequisites: grade of C- or better in MAT211 or permission ofinstructor. (2 credits)