# Mathematics & Engineering

## Courses

#### MAT 010 Basic Mathematics (4 CR)

Provides the most fundamental support for students who need to develop skills in the arithmetic of whole numbers, fractions, decimals, signed numbers and metric measurement.

#### MAT 020 Pre-Algebra (4 CR)

Review of arithmetic of positive and negative integers, fractions, decimals, percentages. Covers measurement and geometric calculations and basic algebraic concepts include simplifying expressions and solving simple equations.

*Prerequisite: MAT 010**

#### MAT 031 Beginning Algebra (4 CR)

Study variables and variable expressions, integers, laws of exponents, equations (linear, quadratic, rational, radical and absolute value), linear inequalities, linear systems, coordinate graphing and problem solving.

*Prerequisite: MAT 020**

#### MAT 033 Algebra for Statistics (4 CR)

As an alternative pathway toward college-level mathematics, this course introduces fundamental algebra concepts within an underlying framework of statistics and mathematical modeling based on real-world data. Major concepts and themes include: problem solving and experimental design; unit analysis and error in measurement; dimensional analysis and scientific notation; representing data and coordinate graphing; introduction to basic descriptive statistics and probability theorems; basic geometric principles (area, volume, perimeter); arithmetic operations on numbers, ratios, summations, and percents; solution and manipulation of formulas; modeling relationships (linear and exponential regression); solving equations and inequalities; and function arithmetic and graphing. Appropriate technology includes a graphing calculator.

*Prerequisite: MAT 020**

#### MAT 035 Thinking Mathematically (4 CR)

This course is a study of various topics including the following: Problem Solving, Critical Thinking and an Introduction to Estimation; Set Theory; Linear Algebraic Equations and Inequalities; Linear Functions and their graphs; Linear Systems of Equations; Consumer and Financial Mathematics; Measurement and Geometry. This course is for students who are pursuing degrees and programs that do not require courses in Statistics, Pre-calculus and the Calculus sequence. The mathematics department recommends the prerequisite not be more than two years old. If the prerequisite is more than two years old the recommendation is the course placement assessment be taken or the prerequisite be retaken to ensure the success of the student.

*Prerequisite: MAT 020**

#### MAT 131 Intermediate Algebra (4 CR)

Emphasizes simplifying expressions, solving equations, and graphing functions, including linear, quadratic, polynomial, rational, radical, exponential and logarithmic. Problem solving and mathematical modeling are integrated throughout. Appropriate technology includes a graphing calculator.

*Prerequisite: MAT 031**

#### MAT 133 Introduction to Probability & Statistics (3 CR)

(Same as CIS 205 & PSY 143)

Introduction to basic descriptive statistics, probability theorems, frequency distributions and functions, binomial and normal probability distributions and functions, probability density functions, hypothesis testing, statistical inference, Chi-square analysis, linear regression and correlation.

*Prerequisite: MAT 033**

#### MAT 141 Pre-Calculus (5 CR)

Major emphasis is on the concept of functions. Study polynomial, rational, exponential, logarithmic, trigonometric and inverse trigonometric functions, their properties, graphs, and related equations and applications. Additional topics include systems of equations, matrices, conic sections, sequences and series, and probability. A graphing calculator is required and used extensively.

*Prerequisite: MAT 131**

#### MAT 145 Finite Mathematics (4 CR)

This course is for students whose programs do not require trigonometry or the calculus sequence. The topics that will be included are linear, exponential, quadratic, polynomial and logarithmic functions and models; systems of linear equations; linear regression; mathematics of finance and financial modeling; matrices, linear programming; permutations; combinations, probability theory; probabilistic simulations; decision theory; descriptive statistics; and Markov chains.

*Prerequisite: MAT 131**

#### MAT 151 Calculus I (4 CR)

First calculus course for business, mathematics, engineering and science students explores introductory plane analytic geometry, the derivative, the integral and their applications for algebraic, trigonometric, exponential and logarithmic functions. Graphing calculator required.

*Prerequisite: MAT 141**

#### MAT 154 Calculus II (5 CR)

Explore the following topics: methods and applications of the derivative and integral for inverse trigonometric and hyperbolic functions, indeterminate forms, series, polar and parametric representation of functions, matrices, determinants, solution of systems of equations and vectors. Graphing calculator required.

*Prerequisite: MAT 151**

#### MAT 210 Foundations of Mathematics (3 CR)

Provides background material for students preparing to teach at the elementary level. Emphasizes the structure and properties of the number system. Covers concepts, models and algorithms for whole numbers, integers, fractions, decimals and percents. Some additional hours of on-site field work required.

*Prerequisite: MAT 131**

#### MAT 211 Foundations of Mathematics II (3 CR)

The course will provide the second semester of math content for elementary education majors. It is a continuation course for MTH 210, Foundations of Mathematics I.

*Prerequisite: MAT 210**

#### MAT 251 Calculus III (4 CR)

Solid analytical geometry is integrated throughout this course covering the calculus of vector valued functions, multivariable functions, and vector fields with applications. Also covers linear algebra topic of vector spaces. Graphing calculator required.

*Prerequisite: MAT 154**

#### MAT 254 Differential Equations (4 CR)

Explore solutions of first order differential equations, linear differential equations with constant coefficients, variation of parameters, series solutions, Laplace transforms, eigenvectors and eigenvalues and application to solution of systems of linear first order equations. Graphing calculator required.

*Prerequisite: MAT 154**

** The math department recommends that
prerequisite coursework be completed within two
years. A minimum grade of 2.0 is required.*