# MATH Course Descriptions

## Table of Contents

- MATH 095 Math Skills
- MATH 170 Why Math Matters
- MATH 180 College Algebra
- MATH 190 Pre-Calculus Mathematics
- MATH 201 Calculus I
- MATH 202 Calculus II
- MATH 211 Foundations of Elementary Mathematics I
- MATH 212 Foundations of Elementary Mathematics II
- MATH 240 Statistical Procedures
- MATH 260 Discrete Mathematics
- MATH 275 Field Experience
- MATH 280 Seminar
- MATH 285 Selected Topics
- MATH 290 Introduction to Proofs
- MATH 295 Individualized Study
- MATH 301 Calculus III
- MATH 311 Differential Equations with Linear Algebra
- MATH 312 Numerical Methods
- MATH 330 Applied Statistics
- MATH 331 Mathematical Probability and Statistics
- MATH 332 Mathematical Statistics
- MATH 340 Number Theory
- MATH 399 Cross-Cultural Experience
- MATH 411 Advanced Linear Algebra
- MATH 412 Algebraic Structures
- MATH 421 Real Analysis I
- MATH 422 Real Analysis II
- MATH 475 Field Experience
- MATH 485 Selected Topics
- MATH 490 Senior Seminar
- MATH 495 Individualized Study
- MATH 585 Graduate Mathematics Courses for High School Teachers

## MATH 095 Math Skills

*1-3 hours*

Individually designed mathematical training to meet the needs and goals of any individual student. The extent of this training will be determined through a testing process. Topics covered include basic math, elementary algebra, and intermediate algebra. This course does not fulfill general education requirements. This course is pre-college level and carries no credit toward degree requirements.

## MATH 170 Why Math Matters

*3 hours*

This course will expand students' appreciation for, and abilities in mathematics so that they understand it is present and useful beyond their previous considerations and experiences. As these boundaries are stretched, students will not only connect with the beauty and utility of mathematics but also the opportunity it will afford them to worship and serve God with greater impact. Problem solving, critical thinking and rigorous logical argumentation, implemented both formally and in relevant, faith based applications, will provide a rich soil for the cultivation of knowledge, faith and character. Additionally, various topics in financial mathematics will be covered. From simple and compound interest models to amortized loans, students will calculate and solve for relevant variables, then create spreadsheets to assist them in the empirical problem solving necessary for budgeting and comparative financial applications. The course will conclude by investigating mathematics in design and nature. The Fibonacci series will be used as a platform for these numeric patterns, which will necessitate the ideas of limits and infinite processes, leading into the basic concepts behind differential and integral calculus.

## MATH 180 College Algebra

*3 hours*

An algebra course designed for students who have a good background in high school algebra and are prepared to cover the major topics of algebra in more depth and breadth. Applications of algebra will be emphasized in this course. This course does not serve as a prerequisite for the calculus sequence.
Prerequisite: high school algebra or equivalent.

## MATH 190 Pre-Calculus Mathematics

*4 hours*

A course for students who are preparing to take calculus or other courses requiring a similar background. In addition to studying the topics found in a college algebra course, this course will focus on trigonometry and an introduction to exponential and logarithmic functions. Prerequisite: high school algebra or its equivalent. Students who have taken MATH 180 College Algebra may not take this course for credit.

## MATH 201 Calculus I

*4 hours*

The class is a study of limits limits of functions, applications of derivatives, and an introduction to integration.
Prerequisite: MATH 190 Precalculus Mathematics or equivalent.

## MATH 202 Calculus II

*4 hours*

A study of differential and integral calculus for functions of one variable. Additional topics include polar coordinates, infinite series, and parametric equations. Prerequisite: MATH 201 Calculus I.

## MATH 211 Foundations of Elementary Mathematics I

*4 hours*

This course is the first of two courses designed to engage elementary and middle school prospective teachers in the learning and development of the mathematical knowledge needed for teaching mathematics. It has a multi-dimensional focus on mathematical problem solving and reasoning with understanding of numbers and their properties through various representations, including algebraic and visual representations. Additional course fee required.

## MATH 212 Foundations of Elementary Mathematics II

*4 hours*

This course is the second of two courses designed to engage elementary and middle school prospective teachers in the learning and development of the mathematical knowledge needed for teaching mathematics. Emphasis will be placed on nuanced mathematics content knowledge needed for teaching within the domains of algebra,statistics, probability, geometry, and measurement. Prerequisite: Completion of MATH 211 Foundations of Elementary Mathematics I.

## MATH 240 Statistical Procedures

*3 hours*

An introduction to probability and statistics with content and application directed toward the natural and physical sciences. Topics to be covered include methods of describing data, probability, random variables and their distributions, estimation, hypothesis testing, linearregression, and correlation. Prerequisite: MATH 180 College Algebra or equivalent.

## MATH 260 Discrete Mathematics

*3 hours*

An introduction to discrete mathematics. Topics covered include sets, functions, math induction, combinatorics, recurrence, graph theory, trees, and networks.

## MATH 275 Field Experience

*1 hour*

Supervised experience in the discipline including internships and practica required for professional programs. This introductory experience must have an on-site supervisor and/or a departmental instructor overseeing, designing, and evaluating the content of the course.
Prerequisite: instructor's permission.

## MATH 280 Seminar

*1 hour*

A seminar for majors to explore current topics selected by the instructor. Emphasis will be placed on self-reflection of each person’s developed strengths, a highlight of overarching mathematical topics, and career preparation. Prerequisite: Declared major in mathematics and data analytics.

## MATH 285 Selected Topics

*1 hour*

A class with topics in mathematics chosen to fit special needs orinterests of students, faculty, or visiting professors. Prerequisite: instructor's permission.

## MATH 290 Introduction to Proofs

*3 hours*

This course is intended to facilitate a smooth transition from lower-level, computation-oriented math courses to upper-level, more theoretical courses. Topics include symbolic logic, methods of proof, and set theory.
Prerequisite: MATH 201 Calculus I.

## MATH 295 Individualized Study

*1-4 hours*

Individualized study or supervised research in an area of special interest to the student which is outside the regular offerings of the major. Additional course fee (per credit) is required.

## MATH 301 Calculus III

*3 hours*

This course is an extension of MATH 201 and 202 Calculus I and II to functions of more than one variable. Topics include vectors, vector-valued functions, partial derivatives, and multiple integration. Prerequisite: MATH 202 Calculus II.

## MATH 311 Differential Equations with Linear Algebra

*4 hours*

A study of the theory, methods of solution, and applications of ordinary differential equations and the techniques of linear algebra necessary to accomplish that study. Prerequisite: MATH 202 Calculus II.

## MATH 312 Numerical Methods

*3 hours*

A study of numerical solutions of mathematical problems, including nonlinear equations, systems of linear equations, polynomial approximations, root finding, integration, and differential equations. Computer programs are written to solve these problems. (CSIS 300 and MATH 312 are identical courses.) Prerequisites: MATH 311 Differential Equations with Linear Algebra and either CSIS 201 Introduction to Computer Science I or ENGR 152 Engineering Principles II.

## MATH 330 Applied Statistics

*3 hours*

Introduction to probability and statistics with content and application directed toward the engineering and science disciplines. Topics to be covered include methods of describing data, probability, random variables and their distributions, estimation, hypothesis testing, linear regression and correlation. Prerequisite: MATH 202 Calculus II or equivalent.

## MATH 331 Mathematical Probability and Statistics

*3 hours*

A study of sample spaces, combinatorial methods, discrete and continuous distributions, moment-generating functions, the central limit theorem, and connecting these to statistical methods (estimators, confidence intervals, tests of statistical hypotheses, and correlation analyses). Prerequisites: MATH 290 Introduction to Proofs and MATH 330 Applied Statistics.

## MATH 332 Mathematical Statistics

*3 hours*

A study of statistical methods - including estimators, confidence intervals, tests of statistical hypotheses, and correlation analyses - from a theoretical point of view, including applications. Prerequisite: MATH 331 Mathematical Probability and Statistics.

## MATH 340 Number Theory

*3 hours*

An introduction to the basic properties of whole numbers, including such topics as prime numbers, Euclid's algorithm, Fermat's Theorem, congruences, and Diophantine equations. The course will emphasize historical development of the relevant topics. Prerequisites: MATH 202 Calculus II and MATH 290 Introduction to Proofs.

## MATH 399 Cross-Cultural Experience

*3 hours*

This course offers in-depth discipline specific cross-cultural study designed to enhance the intercultural emphasis of various academic majors. The course includes class meetings followed by travel to various locations throughout the world. Students will use core disciplinary knowledge to serve, learn and interact with other cultures. (Students must meet eligibility requirements.) Additional course fee is required.

## MATH 411 Advanced Linear Algebra

*3 hours*

A study of matrices and their properties and application, linear transformations, and vector spaces. Prerequisite: MATH 290 Introduction to Proofs.

## MATH 412 Algebraic Structures

*3 hours*

A study of groups, rings, integral domains, fields,polynomial rings, and algebraic number systems. Prerequisites: MATH 411 Advanced Linear Algebra.

## MATH 421 Real Analysis I

*3 hours*

An introduction to the fundamental concepts in real analysis including limits, continuity, sequences, series, differentiation, and integration. Prerequisites: MATH 290 Introduction to Proofs and MATH 301 Calculus III.

## MATH 422 Real Analysis II

*3 hours*

Class serves as a continued study of the fundamental concepts in real analysis including limits, continuity, sequences, series, differentiation, and integration. Prerequisite: MATH 421 Real Analysis I.

## MATH 475 Field Experience

*1-3 hours*

Supervised experience in the discipline including internships and practica required for professional programs. This advanced experience must have an on-site supervisor and/or a departmental instructor overseeing, designing, and evaluating the content of the course. Pass/No Pass. Prerequisite: instructor's permission.

## MATH 485 Selected Topics

*1-3 hours*

A class with topics in mathematics chosen to fit special needs orinterests of students, faculty, or visiting professors. Prerequisite: instructor's permission.

## MATH 490 Senior Seminar

*2 hours*

A seminar for junior and senior math majors to explore current topics selected by the instructor. Emphasis will be placed on significant student involvement in the classroom. Prerequisite: junior or senior status.

## MATH 495 Individualized Study

*1-3 hours*

Individualized study or supervised research in an area of special interest to the student which is outside the regular offerings of the major. Additional course fee (per credit) is required.

## MATH 585 Graduate Mathematics Courses for High School Teachers

*2 hours*

These courses focus on best-practice strategies and mathematics content related to teaching college credit mathematics courses in dual enrollment settings in high schools. Course offerings may only be offered once, or might be rotated on an every 2 to 3-year basis depending on interest. Prerequisite: On a per topic basis.