# 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.

CR: MAT 123

MAT 082 (3-0-3)

### Statistics Workshop

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 an informal workshop setting.

CR: MAT 147

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.

CR: MAT 154

MAT 085 (3-0-0)

### Essential Algebra I

This course prepares students for college-level mathematics. It introduces basic algebraic notation and techniques, including the concept of variables, and the properties of operations. The real number system is developed and used in evaluating algebraic expressions, solving first-degree equations in one variable, and graphing first-degree equations in two variables. The course does not satisfy Degree or Certificate program requirements

MAT 118 (3-0-3)

### Technical Math

This course stresses basic algebraic functions, functional notation, trigonometric
functions, exponential and logarithmic functions, exponents, radicals, complex numbers,
and vectors.

PR: Eligible to enroll in 100-level math course

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 124 (3-0-3)

### Technical Discrete Math

This course stresses the discrete mathematics needed for career programs in the technologies.
Topics include sets, algorithms, truth tables, operations on functions, arithmetic
of matrices, logic circuits, permutations and combinations, and trees. In addition,
the course introduces the binary and hexadecimal systems.

PR: Exemption from placement testing as defined by the Academic Code or placement
testing scores allowing bypass of MAT 095, or successful completion of MAT 095

MAT 126 (3-0-3)

### Descriptive Statistics

This practical statistics course focuses on simple statistical presentations common to a variety of career fields. The course focuses on the following topics: descriptive vs. inferential statistics; organizing and describing data; measures of central tendency; measures of variation; measures of the position; the normal distribution with applications; linear correlation, and regression. Students are required to work with Excel spreadsheets and should be comfortable using computers. Note: Credit for this course does not satisfy the A.A. or A.S. degree program requirements

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 the student to topics in finite math with applications to business,
social sciences, and/or life sciences. Topics include functions, linear functions
and mathematical models, the Method of Least Squares, systems of linear equations
and matrices, linear programming, sets and counting, probability, probability distributions,
random variables, expected value, and Markov chains.

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

MAT 154 (3-0-3)

### College Algebra & Trigonometry

This course includes functions, functional notation, linear and quadratic functions,
graphs of basic functions and graphing techniques such as shifts and reflections,
constant slope and average rate of change, solving systems of linear and nonlinear
systems, and constant slope and average rate of change, solving systems of linear
and nonlinear systems, and complex numbers. The course also covers solving quadratic
equations using factoring, the square root property and the quadratic formula, exponential
and logarithmic equations and functions, trigonometric functions, the graphs of sine,
cosine and tangent functions, and a brief introduction to vectors.

PR: Eligible to register for a 100 level math course

MAT 167 (4-0-4)

### Precalculus With Analytic Geometry

This course includes the following topics: functions, functional composition, inverse
functions, domain and range, interval notation, polynomial functions, rational functions,
exponential and logarithmic functions, trigonometric, functions and graphs, analytic
geometry, including parametric equations, polar coordinates and conics, systems of
equations, introduction to limits and applications.

PR: MAT 118 or MAT 154 or eligible to enroll in MAT 167

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 optimiation 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.

PR: MAT 180

Spring only

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.

PR: MAT 181

Spring only

MAT 242 (3-0-3)

### Linear Algebra

This course covers the following topics: vector spaces, the structure of Rn, matrix
algebra, systems of linear equations, determinants, eigenvectors, eigenvalues, eigenvectors,
and applications. Linear transformations and inner product spaces are also covered.

PR: MAT 180

Fall only