# Course Descriptions

## Mathematics

### MAT 095

Mathematics Review

0 credits

This course provides opportunities for students to strengthen their mathematical skills and understanding of rational numbers using contextual, real-life problems. This course is graded on a pass/fail basis. To pass the course, a student must earn a 77% or better.

### MAT 110

Math Essentials

3 credits

This course provides a basic introduction to linear functions. Topics include: identify, simplify, and evaluate polynomials; solve linear equations and inequalities, including systems; graph linear equations and inequalities. Credit for this course applies toward graduation as an elective. Please note that the minimum passing grade is a ''C.''

*Prerequisite(s): Pass math skills assessment or MAT 095.*

### MAT 200

Pre-Calculus

3 credits

This course provides an integrated review of intermediate algebra, analytic geometry, and basic trigonometry in order to prepare the student for calculus. After a brief review of linear and quadratic functions, the course covers graphs and applications for polynomial, rational, exponential, logarithmic, and trigonometric functions. The course also incorporates matrices and vectors. Please note that a minimum grade of C is required in order for students to take Calculus I (MAT 310).

*Prerequisite(s): MAT 121 or MAT 205 with a minimum grade of ''C'' or college algebra equivalent.*

### MAT 201

Mathematics for Teachers I

3 credits

This class will prepare teacher candidates to become effective mathematics teachers in their own classrooms. Through mathematical investigations, candidates will learn the underlying concepts, structures, functions and patterns that promote mathematical reasoning and understanding. Candidates will investigate how moving progressively through essential topics deepens their understanding of mathematics. Students will use the National Council of Teachers of Mathematics Standards and STEM strategies. Various methods such as modeling, collaboration, manipulatives, thinking made visible, and writing across the curriculum will be presented for bridging classroom activities and real-world problem solving. Teacher candidates will learn how to analyze their students’ math-solving processes by developing thorough explanations of their own mathematical understanding and critiquing the explanation of others’ mathematical understandings. Candidates will communicate their mathematical ideas, processes, analyses and understandings through both writing and speaking. This course concentrates on *numbers and operations* and their application to student learning and classroom teaching.

*Prerequisite(s): Successfully passing math skills assessment or MAT 110 with a minimum grade of C.*

### MAT 202

Mathematics for Teachers II

3 credits

This class will prepare teacher candidates to become effective mathematics teachers in their own classrooms. Through mathematical investigations candidates will learn the underlying concepts, structures, functions and patterns that promote mathematical reasoning and understanding. Candidates will investigate how moving progressively through essential topics deepens their understanding of mathematics. Students will use the National Council of Teachers of Mathematics Standards and STEM strategies. Various methods such as modeling, collaboration, manipulatives, thinking made visible, and writing across the curriculum will be presented for bridging classroom activities and real-world problem solving. Teacher candidates will learn how to analyze their students’ math-solving processes by developing thorough explanations of their own mathematical understanding and critiquing the explanation of others’ mathematical understandings. Candidates will communicate their mathematical ideas, processes, analyses and understandings through both writing and speaking. This course concentrates on *geometry, measurement, probability and statistics* and their application to student learning and classroom teaching.

*Prerequisite(s): MAT 201 with a minimum grade of C.*

### MAT 205

Introductory Survey of Mathematics

3 credits

This course introduces a broad range of topics in mathematics, including algebra, probability, and statistics. After reviewing linear functions, algebraic topics include solving and graphing quadratic and exponential functions. Topics in probability include counting principles, combinations, permutations, compound events, mutually exclusive events, and independent events. Topics in statistics include measures of central tendency, measures of dispersion, and the normal curve. Please note that the minimum passing grade for this course is a ''C.''

*Prerequisite(s): Pass math skills assessment or MAT 110 with a minimum grade of ''C''.*

### MAT 304

Mathematics for Teachers III

3 credits

This class will prepare teacher candidates to become effective mathematics teachers in their own classrooms. Through mathematical investigations candidates will learn the underlying concepts, structures, functions and patterns that promote mathematical reasoning and understanding. Candidates will investigate how moving progressively through essential topics deepens their understanding of mathematics. Students will use Common Core Mathematics Standards and STEM strategies. Various methods such as modeling, collaboration, manipulatives, thinking made visible, and writing across the curriculum will be presented for bridging classroom activities and real-world problem solving. Teacher candidates will learn how to analyze their students’ math-solving processes by developing thorough explanations of their own mathematical understanding and critiquing the explanation of others’ mathematical understandings. Candidates will communicate their mathematical ideas, processes, analyses and understandings through both writing and speaking. This course concentrates on *algebra and functions* and their application to student learning and classroom teaching.

*Prerequisite(s): MAT 202 with a minimum grade of C.*

### MAT 308

Inferential Statistics

3 credits

This course introduces the student to the scientific method of collecting, organizing, and interpreting data in real-world applications, such as behavioral science, communication, education, healthcare, manufacturing, and natural science. Students will use graphing calculators, along with Excel, to assist in displaying and analyzing data.

*Prerequisite(s): MAT 122 or MAT 202 or MAT 205 with minimum grade of ''C'' or BSN candidate.*

### MAT 310

Calculus I

3 credits

After a brief review of classes of functions and their properties, this course focuses on students' understanding and application of limits, continuity, techniques for finding the derivative, use of the derivative in graphing functions, applications of the derivative, implicit differentiation, anti-derivatives, areas under the curve, the Fundamental Theorem of Calculus, integration by substitution and differential equations. Students are required to explain their reasoning graphically, numerically, analytically, and verbally.

*Prerequisite(s): MAT 200 with a minimum grade of ''C''.*

### MAT 311

Calculus II

3 credits

After a review of limits and derivatives, this course focuses on students' understanding and application of antiderivatives, the definite integral, the Fundamental Theorem of Calculus, integration techniques, applications of the definite integral and improper integrals. An overview of multivariable calculus includes partial derivatives, minima and maxima, and double integrals. The course concludes with a discussion of Taylor series and L'Hospital's rule. Students are required to explain their reasoning graphically, numerically, analytically, and verbally.

*Prerequisite(s): MAT 310*

### MAT 312

Business Statistics

3 credits

This course introduces the student to the scientific method of collecting, organizing, and interpreting data in a variety of business applications. Students will use Excel to assist in displaying and analyzing data.

*Prerequisite(s): MAT 205 or MAT 122 with a minimum grade of ''C'' or College of Business completion degree candidate.*

### MAT 313

Experimental Design

3 credits

A well-designed experiment is an efficient way of learning about the world. Experiments are performed in all branches of science, engineering and industry. Problems of increasing size and complexity have led to the development of many new methods for designing and analyzing experiments. This course develops concepts and practices for designing and conducting experiments, along with analyzing experimental results. Topics include randomization, replication, blocking, factorial design, ANOVA, surveys, etc. Students will develop a research question, design an experiment, and collect and analyze the data in a course project to help students use their understanding of experimental design in a practical manner.*Prerequisite(s): MAT 308 or MAT 312 with a minimum grade of C.*

### MAT 315

Calculus III

3 credits

This course provides a study of vector functions, functions of several variables, limits, and continuity for functions of more than one variable, partial differentiation and applications, optimizations, the chain rule, directional derivatives, multiple integrals, line integrals, curl, Green's Theorem, Stoke's Theorem, and the Divergence Theorem.*Prerequisite(s): MAT 311*

### MAT 320

Finite Mathematics

3 credits

This course provides a survey of selected topics in mathematics, with emphasis on problem solving and applications. Algebra and functions will be reviewed. Core topics include exponential and logarithmic functions, interest, annuities, systems of linear equations, matrix operations, linear programming, the simplex method, set theory, probability, and counting theory.

*Prerequisite(s): MAT 304, MAT 205, MAT 121 or college algebra equivalent.*

### MAT 322

Linear Algebra with Applications

3 credits

This course is a study of linear systems, matrices, determinants, subspaces, eigenvalues, orthogonality, machine learning, AI, computer graphics, and economic models.

*Prerequisite(s): MAT 315*

### MAT 330

Discrete Math

3 credits

This course provides an introduction to discrete mathematics. Topics include sets, functions and relations, mathematical induction and logic, sequences and recursion, and an introduction to Boolean algebra.

*Prerequisite(s): MAT 200 and MAT 320*

### MAT 331

Geometry

3 credits

This course presents the core concepts and principles of Euclidean geometry in two and three dimensions. Topics include geometric constructions, congruence, similarity, transformations, measurement, and coordinate geometry. Axiomatic systems and proofs are covered. An overview of non-Euclidean geometries is provided.

*Prerequisite(s): MAT 200*

### MAT 332

History of Mathematics

3 credits

This course provides an overview of the historical evolution of major concepts in mathematics including counting and number systems, geometry, algebra, calculus, and statistics. The contributions of various civilizations ranging from Babylonia and Egypt through Greece and the Middle East to the modern world are reviewed. Biographical sketches of some of the individuals who made major contributions to the development of mathematics are presented. The interrelationship between the evolution of mathematics, science, and technology is explored.

*Prerequisite(s): MAT 311, MAT 308, and MAT 331*

### MAT 490

Experiential Learning in Applied Mathematics

3 credits

This course provides students with an experiential learning opportunity to engage in project-based learning within the student’s current employment context or through a simulated work experience utilizing application-based assessments that align with the Applied Mathematics Program competencies. The course provides students with an opportunity to define, analyze and apply theories and models to resolve a complex organizational problem(s) and real-world experiences to strategize mathematical solutions.

*Prerequisite(s): MAT 200, MAT 310, MAT 311, MAT 315, MAT 322, MAT 320, MAT 330, MAT 312, MAT 313, CSC 402, CSC 414, and BBA 460*

### MAT 491

Internship in Applied Mathematics

3 credits

This capstone course provides the student experience in an applied mathematics setting. Students may work within an organization on either a full-time or part-time co-op or internship basis for a 14-week semester. Alternatively, students may complete a comprehensive project based on prior coursework using an organization at which the student is currently employed or with which the student is familiar. Through this experience the student has an opportunity to explore career interests. At the same time the student gains a practical understanding of work in the industry, experience on the job, enhancement of skills learned in the classroom, and contacts with professionals in the business world.

*Prerequisite(s): MAT 200, MAT 310, MAT 311, MAT 315, MAT 322, MAT 320, MAT 330, MAT 312, MAT 313, CSC 402, CSC 414, and BBA 460*