# Mathematics Courses

## MAT 081 (3-0-3)

### Quantitative Reasoning Workshop

This course provides students with additional academic instruction and learning strategies to complete the student learning outcomes for MAT 123 Quantitative Reasoning. With a focus on differentiated and personalized instruction, this course reinforces prerequisite concepts and addresses learning gaps in mathematics so that students can receive just-in-time support for the concepts covered in MAT 123. This course supports the student learning outcomes for MAT 123 through group work, one-on-one support, and concept-focused activities in an informal workshop setting.

## MAT 082 (3-0-3)

### Statistics Workshop Lab

This course provides students with additional academic instruction and learning strategies to complete the student learning outcomes for MAT 147 Statistics. With a focus on differentiated and personalized instruction, this course reinforces prerequisite concepts and addresses learning gaps in mathematics so that students can receive just-in-time support for the concepts covered in MAT 147. This course supports the student learning outcomes for MAT 147 through group work, one-on-one support, and concept-focused activities in a informal workshop setting.

## MAT 083 (3-0-3)

### College Algebra and Trigonometry Workshop

This course provides students with additional academic instruction and learning strategies to complete the student learning outcomes for MAT 154 College Algebra & Trigonometry. With a focus on differentiated and personalized instruction, this course reinforces prerequisite concepts and addresses learning gaps in mathematics so that students can receive just-in-time support for the concepts covered in MAT 154. This course supports the student learning outcomes for MAT 154 through group work, one-on-one support, and concept-focused activities in an informal workshop setting.

## MAT 123 (3-0-3)

### Quantitative Reasoning

This college level course integrates numeracy, proportional reasoning, algebraic reasoning, and understanding of functions. The Quantway model of productive persistence is paired with an activity-based approach to explore numerical concepts, quantitative reasoning, probability, and descriptive statistics as well as linear, quadratic, and exponential modeling. Students develop conceptual and procedural tools that support the use of key mathematical concepts in a variety of contexts. Each student must purchase access to the online platform for this course.

## MAT 145 (3-0-3)

### Topics in Contemporary Math

This course introduces mathematics as a liberal art with various contemporary applications. The course covers logic, sets, combinations and permutations as well as number bases. The instructor also chooses from among the following topics: voting and apportionment; management science and graph theory; topics in geometry, as well as the nature of growth. Students should have two years of high school math, which includes a course in algebra and some geometry.

## MAT 147 (3-0-3)

### Statistics

This course focuses on the following topics: descriptive statistics, an introduction
to probability, random variables and probability distributions, the binomial and normal
probability distributions, sampling, estimation, hypothesis testing, chi-square distributions,
linear correlation and regression.

PR: Eligible to enroll in a 100-level math course

## MAT 148 (3-0-3)

### College Algebra

This course concentrates on the application and analysis of algebraic problems as
they occur in a variety of disciplines. Topics include linear, quadratic, exponential
and logarithmic functions and models and an introduction to regression analysis. Other
topics include solution of equations and inequalities, sequences and matrices. Methods
of proof such as algebraic derivation as well as the use of counterexamples to disprove
mathematical statements are explored.

PR: Eligible to enroll in 100-level math course

## MAT 149 (3-0-3)

### Topics in Finite Mathematics

This course introduces topics in finite math with applications to business, social sciences, computing, and/or life sciences. Topics include logic, functions, mathematical models, the Method of Least Squares, systems of linear equations and matrices, linear programming, sets and counting, probability, probability distributions, random variables, expected values, and Markov Chains.

## MAT 154 (3-0-3)

### College Algebra & Trigonometry

This course includes algebraic and graphical analysis of various functions, including linear, quadratic, exponential, logarithmic, and trigonometric functions. Topics include function notation, domain and range, rate of change, basic function transformations, and systems of equations, as well as the Unit Circle and applications of both right triangle trigonometry and vectors.

## MAT 167 (4-0-4)

### Precalculus With Analytic Geometry

This course provides an overview of polynomial, rational, exponential, logarithmic,
and trigonometric functions as a prelude to Calculus. Function features such as domain
and range, zeros, continuity, and end behavior are determined both algebraically and
graphically. The course also explores function concepts of combination, composition,
and inverses. Additional topics include the Law of Sines, the Law of Cosines, polar
coordinates, conic sections, and introduction to limits.

PR: MAT 154 or per Math Advising Flow Chart

## MAT 180 (4-0-4)

### Calculus I

This course, in the calculus of a single variable, includes, limits, continuity, derivatives
of algebraic and transcendental functions, implicit differentiation, related rates,
the Mean Value Theorem, antiderivatives, definite integral, and the Fundamental Theorem
of Calculus. The course introduces applications of differentiation such as curve sketching
and optimization problems as well as applications of integration such as area and
average value.

PR: MAT 167 or equivalent

## MAT 181 (4-0-4)

### Calculus II

This course, in the calculus of a single variable, concerns recognizing, analyzing,
and calculating problems in the following topic areas: the calculus of inverse trigonometric
functions, integration techniques, application of integration, L’Hopital’s Rule, improper
integrals, infinite sequences and series,

plane curves, parametric equations, polar coordinates, and polar curves.

PR: MAT 180 or consent of the department

## MAT 210 (3-0-3)

### Discrete Structures: Logic & Proof

This course provides an introduction to the non-continuous side of mathematics. The
course focuses on techniques of mathematical proof including mathematical induction,
direct proof, indirect proof, and proof by contradiction. Topics include relations
and functions, symbolic logic and predicate calculus, number theory, combinatorial
methods as well as an introduction to graph theory.

Spring only

PR: MAT 180

## MAT 222 (3-0-3)

### Ordinary Differential Equations

This course provides an introduction to ordinary differential equations. The course
includes linear differential equations, systems of differential equations, series
solutions, boundary value problems, existence theorems, Laplace transforms and applications
to the sciences.

PR: MAT 181

## MAT 240 (4-0-4)

### Calculus III

Topics covered in this course include three- dimensional analytic geometry, vectors,
calculus of functions of several variables, partial differentiation and multiple integration.
Additionally, The Fundamental Theorem of Line Integrals and Green’s Theorem, as well
as vector fields are covered.

Spring only

PR: MAT 181

## MAT 242 (3-0-3)

### Linear Algebra

Linear Algebra blends the theoretical and practical aspects of mathematics and is
applicable to numerous fields of study. The course topics are investigated by practicing
deductive reasoning, constructing elementary proofs, and applying a variety of algebraic
techniques. Topics include: systems of linear equations; matrix algebra; determinants
and their properties; the structure of Rn; vectors and vector spaces; linear independence
and span; basis and dimension; rank of a matrix and the Rank Theorem; inner product
spaces; orthogonal bases; linear transformations; eigenvalues; eigenvectors; and diagonalization
of matrices. Additional topics include the Gram Schmidt Orthogonalization Process
and projection onto a subspace.

PR: MAT 180