# Mathematics

## MAT 0144: College Readiness Math I (3)

Offerings

A problem solving approach to the mathematics necessary for success in college level coursework. Emphasis on fluency and flexibility with numerical and algebraic reasoning.

## MAT 0145: College Readiness Math II (3)

Offerings

Prerequisite: A C- or better in MAT 0144 or Mathematics Placement Level A. A problem solving approach to the mathematics necessary for success in college level coursework. Includes analysis of graphical displays and further development of algebraic reasoning.

Prerequisites: MAT 0144: C- or better OR Math Placement Level: A or better

## MAT 1010: College Algebra (3)

Offerings

Prerequisite: MAT 0145 or Mathematics Placement Level B. Explores inequalities and algebraic functions, including linear, quadratic, polynomial, rational, exponential, and logarithmic.

Prerequisites: MAT 0145: C- or better OR Math Placement Level: B or better

## MAT 1110: Precalculus (5)

Offerings

Prerequisite: Mathematics Placement Level B or MAT 0145. Explores algebraic, circular and trigonometric equations and identities; and inequalities.

Prerequisites: Math Placement Level: B or better OR MAT 0145: C- or better

## MAT 1221: Survey of Calculus (5)

Offerings

Prerequisite: A C- or better in MAT 1010 or 1110, or the equivalent as determined by the calculus placement test. An applications-oriented course with an intuitive approach, including introduction to both differential and integral calculus. Examples drawn from business, economics, biology, and the social and behavioral sciences. This course is not the prerequisite for 1235, nor can credit be received if 1234 or its equivalent has been taken.

Attributes: WK Quantitative Reasoning Prerequisites: MAT 1010: C- or better OR MAT 1110: C- or better OR Calculus Test Part 1: 08 or better OR Calculus Test Total: 13 or better

## MAT 1234: Calculus I (5)

Offerings

Prerequisite: A C- or better in MAT 1110 or its equivalent as determined by the Calculus Placement Test. First course in calculus, emphasizing limits and derivatives of functions of one variable. Sequence begins both Autumn and Winter Quarters. Extra fee.

Attributes: WK Quantitative Reasoning Prerequisites: MAT 1110: C- or better OR (Calculus Test Part 1: 08 or better OR Calculus Test Total: 13 or better)

## MAT 1235: Calculus II (5)

Offerings

Prerequisite: C- or higher in MAT 1234. Second course in calculus, emphasizing integral calculus of functions of one variable. Extra fee.

Prerequisites: MAT 1234: C- or better

## MAT 1236: Calculus III (5)

Offerings

Prerequisite: C- or higher in MAT 1235. Third course in calculus. Includes parametric equations, polar coordinates, vectors, sequences, series, and Taylor expansions. Introduces multivariable calculus, including partial derivatives, double integrals, and triple integrals. Extra fee.

Prerequisites: MAT 1235: C- or better

## MAT 1300: Introduction to Statistical Reasoning (5)

Offerings

Prerequisite: MAT 0145 or Math Placement Level B. A course in statistical literacy emphasizing concepts and reasoning rather than in-depth coverage of traditional methods and formulas. Topics include data sources and sampling, strengths and limitations of basic experimental design, graphical and numerical summaries of data, and conceptual coverage of probability and statistical inference.

Attributes: WK Quantitative Reasoning Prerequisites: MAT 0145: C- or better OR Math Placement Level: B or better

## MAT 1521: Introduction to Contemporary Mathematics (5)

Offerings

Prerequisite: (Mathematics Placement Level A or a C- or better in MAT 0144), or (Mathematics Placement Level B or MAT 0145). Explores topics that illustrate how mathematical methods and models permeate our economic, political, and personal lives. By investigation of diverse applications, a variety of problem-solving techniques will be introduced, including using the computer as a tool.

Attributes: WK Quantitative Reasoning Prerequisites: Math Placement Level: A or better OR MAT 0144: C- or better OR Math Placement Level: B or better OR MAT 0145: C- or better

## MAT 1560: Numerical Reasoning (4)

Offerings

Prerequisite: Mathematics Placement Level A or MAT 0144; or Mathematics Placement Level B or MAT 0145; or instructor permission. The first in a three-course sequence, this course is a study of numerical reasoning through in-depth explorations of numeration systems, numerical properties and operations, concepts in number theory, and related topics in the history of mathematics. There is an emphasis on problem solving, standards of mathematical practice, and use of appropriate technologies such as calculators and interactive software. The content preparation for teaching K-8 mathematics based on the Common Core State Standards is stressed.

Restrictions: Freshman students are excluded. Prerequisites: Math Placement Level: A or better OR MAT 0144: C- or better OR Math Placement Level: B or better OR MAT 0145: C- or better

## MAT 1720: Mathematics for Computer Science (5)

Offerings

Prerequisite: MAT 1010 or 1110, or the equivalent as determined by the calculus placement test. Explores set theory, number systems, logic, proof techniques, basics of counting, discrete probability, networks, digital logic, and digital systems.

Prerequisites: MAT 1010: D or better OR MAT 1110: D or better OR Calculus Test Part 1: 08 or better OR Calculus Test Total: 13 or better

## MAT 2200: Engineering Probability and Statistics (3)

Offerings

Prerequisite: MAT 1235. Introduces students to concepts of probability and statistics along with methodology for applying these to engineering applications. Extra fee.

Equivalents: EGR 2200 Prerequisites: MAT 1235: D or better

## MAT 2360: Introduction to Statistics for the Sciences (5)

Offerings

Prerequisite: MAT 0145 or Math Placement Level B. Introduction to the practice of statistics with applications to the sciences. Topics include graphical and numerical summaries of data, probability, estimation, hypothesis testing, linear regression, and one-way analysis of variance. Emphasis on applications, statistical reasoning, and data analysis using statistical software.

Attributes: WK Quantitative Reasoning Restrictions: Applied Human Biology, Applied Human Biology-INT, Applied Mathematics, Applied Mathematics-INT, Biochemistry, Biochemistry-INT, Biology, Biology-INT, Cellular and Molecular Bio-INT, Cellular and Molecular Biology, Chemistry, Chemistry-INT, Computer Science, Computer Science-INT, Ecology, Ecology-INT, Exercise Science, Exercise Science-INT, Food & Nutrition Sciences-INT, Food and Nutritional Sciences, Health and Fitness Ed-INT, Health and Fitness Education, Information Systems, Information Systems-INT, Integrated Studies, Integrated Studies Math-INT, Integrated Studies-INT, Mathematics, Mathematics-INT, Nursing, Nursing-INT, Physical Education, Physical Education-INT, Physiology, Physiology-INT, Pre-Dentistry/Physiology-INT, Pre-Medicine/Physiology-INT, Pre-PT/Applied Human Bio-INT, Pre-Veterinary/Physiology-INT Majors only. Prerequisites: Math Placement Level: B or better OR MAT 0145: C- or better

## MAT 2401: Linear Algebra (3)

Offerings

Prerequisite: MAT 1235. Studies vector spaces, matrices, and linear transformations. Extra fee.

Prerequisites: MAT 1235: D or better

## MAT 2561: Statistical and Algebraic Reasoning (4)

Offerings

Prerequisite: MAT 1560. The second in a three-course sequence, this course is a study of both algebraic and statistical reasoning through in-depth explorations of data, patterns, and related topics in the history of mathematics. There is an emphasis on problem solving, standards of mathematical practice, and use of appropriate technologies such as calculators and interactive software. The content preparation for teaching K-8 mathematics based on the Common Core State Standards is stressed.

Attributes: WK Quantitative Reasoning Prerequisites: MAT 1560: D or better

## MAT 2700: Statistics for Business and Economics (5)

Offerings

Prerequisites: (Mathematics Placement Level B or MAT 0145) and (CSC 1123 or BUS 1700, or Competency Exam). An introduction to descriptive and inferential statistics with emphasis on problems from business and economics. Topics include graphical representation of data, probability, discrete and continuous distributions, Central Limit Theorem, confidence intervals, hypothesis testing, one-way ANOVA, correlation and linear regression. Spreadsheet software is used for data management, analysis, and reporting. The MAT section of this course does not fulfill the School of Business and Economics spreadsheets competency.

Equivalents: BUS 2700 Attributes: WK Quantitative Reasoning Prerequisites: (Math Placement Level: B or better OR MAT 0145: C- or better) AND (CSC 1123: D or better OR BUS 1700: D or better OR Spreadsheets Competency (SBGE): P or better)

## MAT 2720: Discrete Mathematics (3)

Offerings

Prerequisite: MAT 1235. Studies sets, logic, Boolean algebra, relations, functions, and graphs.

Prerequisites: MAT 1235: D or better

## MAT 3100: Introduction to Proof (1)

Offerings

Prerequisite: MAT 1235 or 2401. An introduction to the understanding and creation of mathematical proofs in an elementary setting. Topics may include elementary set theory functions and operations, mathematical induction. Credit cannot be received for this course if MAT 3749 has been taken.

Attributes: Upper-Division Prerequisites: MAT 1235: D or better OR MAT 2401: D or better

## MAT 3237: Differential Equations (3)

Offerings

Prerequisite: C- or higher in MAT 1236. Studies general solutions of first and second order differential equations, Laplace transforms, and series solutions. Extra fee.

Attributes: Upper-Division Prerequisites: MAT 1236: C- or better

## MAT 3238: Vector Calculus (3)

Offerings

Prerequisite: C- or higher in MAT 1236. Additional study of multivariable and vector calculus, including vector-valued functions, vector fields, line integrals, surface integrals, Green's Theorem, Stoke's Theorem, and the Divergence Theorem. Extra fee.

Attributes: Upper-Division Prerequisites: MAT 1236: C- or better

## MAT 3333: Statistical Modeling (3)

Offerings

Prerequisites: MAT 2200 or 2360 or 2700 or 3360, or instructor permission. A second course in applied statistics. This course builds on an introductory statistics course, providing students tools to perform more complex data analysis. Topics include linear and nonlinear regression, multiple regression, and analysis of variance. Statistical software will be used extensively. Offered alternate years.

Attributes: Upper-Division Prerequisites: MAT 2200: D or better OR EGR 2200: D or better OR MAT 2360: D or better OR MAT 2700: D or better OR BUS 2700: D or better OR MAT 3360: D or better

## MAT 3360: Probability and Statistics (5)

Offerings

Prerequisites: MAT 1236 and MAT 2360. Calculus based introduction to probability and statistics. Studies elementary probability, discrete and continuous probability distributions, expectation, moments, sampling distributions, central limit theorem, estimation, and hypothesis testing. Extra fee.

Attributes: Upper-Division Prerequisites: MAT 1236: D or better AND MAT 2360: D or better

## MAT 3401: Number Theory (3)

Offerings

Prerequisite: MAT 2720 or 3100 (or MAT 3562 with permission of instructor). May be taken concurrently with instructor approval. Studies topics of classical number theory including divisibility, primes and congruences. Offered alternate years.

Attributes: Upper-Division Prerequisites: MAT 2720: D or better OR MAT 3100: D or better

## MAT 3442: Geometry (4)

Offerings

Prerequisite: MAT 3749 or (MAT 3562 and MAT 3100 or instructor permission). Development of Euclidean geometry and consideration of axiomatic systems, transformations and non-Euclidean geometries. Exploration using technology and models. Offered alternate years.

Attributes: Upper-Division Prerequisites: MAT 3749: D or better OR (MAT 3562: D or better AND MAT 3100: D or better)

## MAT 3562: Geometric Reasoning (4)

Offerings

Prerequisite: MAT 2561. The third in a three-course sequence, this course is a study of geometric reasoning with emphasis on depth of understanding and appropriate use of calculators and computer software. Investigations of mathematical topics include two- and three-dimensional geometry, measurement, proof appropriate for K-8 teachers, and associated history of mathematics. Common Core State Standards-based content preparation for teaching K-8 mathematics.

Attributes: Upper-Division Prerequisites: MAT 2561: D or better

## MAT 3724: Applied Analysis (3)

Offerings

Prerequisites: MAT 3237 and 3238. Studies Fourier series, heat, wave, and Laplace's equations, separation of variables, and boundary value problems. Offered alternate years.

Attributes: Upper-Division Prerequisites: MAT 3237: D or better AND MAT 3238: D or better

## MAT 3730: Complex Variables (3)

Offerings

Prerequisite: MAT 3238. Studies theory and applications of complex variables; analytic functions, integrals, and power series applications. Offered alternate years.

Attributes: Upper-Division Prerequisites: MAT 3238: D or better

## MAT 3749: Introduction to Analysis (5)

Offerings

Prerequisite: MAT 1236 and (MAT 2720 or MAT 3100) or permission of instructor. MAT 3100 may be taken concurrently. Uses the axiomatic method to prove basic results from set theory and real analysis. Topics include functions, set cardinality, the real number system, and the topology of the real line.

Attributes: Upper-Division Prerequisites: MAT 1236: D or better AND (MAT 2720: D or better OR MAT 3100: D or better)

## MAT 3751: Real Analysis II (3)

Offerings

Prerequisite: C- or higher in MAT 3749. Builds on the topics introduced in MAT 3749, including explorations of differentiation and integration. Offered alternate years.

Attributes: Upper-Division Prerequisites: MAT 3749: C- or better

## MAT 4363: Mathematical Statistics (3)

Offerings

Prerequisite: MAT 3360. Studies in greater depth continuous and discrete probability distributions, moment generating functions, probability-generating functions, transformations, and multivariate probability distributions. Offered alternate years.

Attributes: Upper-Division Prerequisites: MAT 3360: D or better

## MAT 4402: Modern Algebra I (3)

Offerings

Prerequisite: MAT 2401 and a C- or higher in MAT 3749. Studies algebraic structures, including groups, rings, and fields.

Attributes: Upper-Division, Writing "W" Course Prerequisites: MAT 2401: D or better AND MAT 3749: C- or better

## MAT 4403: Modern Algebra II (3)

Offerings

Prerequisite: C- or higher in MAT 4402. Continuation of MAT 4402. Offered alternate years.

Attributes: Upper-Division, Writing "W" Course Prerequisites: MAT 4402: C- or better

## MAT 4725: Numerical Analysis (5)

Offerings

Prerequisites: MAT 2401 and 3237, or permission of instructor, and facility with mathematically oriented software. Studies numerical integration, differentiation, solutions of systems of equations, and related topics. Offered alternate years. Extra fee.

Attributes: Upper-Division Prerequisites: MAT 2401: D or better AND MAT 3237: D or better

## MAT 4830: Mathematical Modeling (5)

Offerings

Prerequisites: MAT 2401, 3237 and 3360, and facility with mathematically oriented software. Focuses on construction and analysis of mathematical models for problems in the real world. The problems will be chosen from a variety of fields, including the biological and social sciences. Extra fee. Offered alternate years.

Attributes: Upper-Division Prerequisites: MAT 2401: D or better AND MAT 3237: D or better AND MAT 3360: D or better

## MAT 4899: Senior Capstone Seminar (3)

Offerings

Prerequisite: 9 credits of upper-division mathematics or instructor permission. This senior capstone course will explore the culture of mathematics through readings and classroom discussions during the Autumn Quarter. Students will synthesize mathematical ideas within the context of a Christian worldview. The student will write a significant paper and make an oral presentation within the following two quarters.

Attributes: Upper-Division, Writing "W" Course Restrictions: Freshman, Junior, Sophomore students are excluded.

## MAT 4904: Independent Study in Mathematics (1-5)

Offerings

Prerequisites: 6 credits in upper-division mathematics. May be repeated for credit up to 15 credits.

Attributes: Upper-Division Restrictions: Freshman, Sophomore students are excluded.

## MAT 4910: Mathematics Seminar (1-5)

Offerings

Investigates topics of current interest through student reports. May be repeated for credit 5 times.

Attributes: Upper-Division Restrictions: Freshman, Sophomore students are excluded.

## MAT 4930: Practicum in Mathematics (1-5)

Offerings

Practical experience in a supervised educational setting. May be repeated for credit up to 5 credits.

Attributes: Upper-Division Restrictions: Freshman, Sophomore students are excluded.

## MAT 4940: Internship in Mathematics (1-5)

Offerings

Provides a significant learning experience to be obtained in a closely supervised work-study program. May be repeated for credit up to 15 credits.

Attributes: Upper-Division Restrictions: Freshman, Junior, Sophomore students are excluded.

## MAT 4950: Special Topics in Mathematics (1-5)

Offerings

Special Topics May be repeated for credit up to 6 credits.

Attributes: Upper-Division Restrictions: Freshman, Sophomore students are excluded.

## MAT 4960: UG Mathematics Research (1-3)

Offerings

The student will conduct research under the supervision of a mathematics faculty member. A final written report is required. May be repeated for credit up to 9 credits.

Attributes: Upper-Division