# Mathematics

## Classes

### MAH 101 : INTRODUCTORY MATHEMATICS

This course is a comprehensive review of arithmetic with basic algebra designed to meet the needs of certificate and diploma programs. Topics include business and industry related arithmetic and geometric skills used in measurement, ratio and proportion, exponents and roots, applications of percent, linear equations, formulas, and statistics. Upon completion, students should be able to solve practical problems in their specific occupational areas of study.

3

### MTH 098 : ELEMENTARY ALGEBRA

This course provides a study of fundamentals of algebra. Topics include the real number system, linear equations and inequalities, graphing linear equations and inequalities in two variables and systems of equations. This course does not apply toward the general core requirements for mathematics.

4

### MTH 099 : SUPPORT FOR INTERMEDIATE COLLEGE ALGEBRA

This learning support course provides co-requisite support in mathematics for students enrolled in MTH 100.  The material covered in this course is parallel to and supportive of the material taught in MTH 100.  Emphasis is placed on providing students with additional academic and noncognitive support with the goal of success in the students’ paired MTH 100 class.  This class does not serve as the general core requirement for mathematics.

2

#### Prerequisites

Note that MTH 099 is required for students completing MTH 098 Elementary Algebra.

### MTH 100 : INTERMEDIATE COLLEGE ALGEBRA

This course provides a study of algebraic techniques such as linear equations and inequalities, quadratic equations, systems of equations, and operations with exponents and radicals. Functions and relations are introduced and graphed with special emphasis on linear and quadratic functions. This course does not apply toward the general core requirement for mathematics.

3

#### Prerequisites

A grade of C or higher in MTH 098 or appropriate placement score (S if taken as pass/fail).

### MTH 109 : SUPPORT FOR FINITE MATHEMATICS

This Learning Support course provides co-requisite support in mathematics for students enrolled in MTH 110 Finite Math. Topics will parallel topics being studied in MTH 110 such as sets, counting, permutations, combinations, basic probability (including Baye’s Theorem), and introduction to statistics (including work with Binomial Distributions and Normal Distributions), matrices and their applications to Markov chains and decision theory. This course will enhance the essential quantitative skills needed to be successful in MTH 110. This course does not apply toward the general core requirements for mathematics.

2

#### Prerequisites

A grade of C or higher in MTH 100 or appropriate placement score.

### MTH 110 : FINITE MATHEMATICS

This course is intended to give an overview of topics in finite mathematics together with their applications, and is taken primarily by students who are not majoring in science, engineering, commerce, or mathematics (i.e., students who are not required to take Calculus). This course will draw on and significantly enhance the student’s arithmetic and algebraic skills. The course includes sets, counting, permutations, combinations, basic probability (including Baye’s Theorem), and introduction to statistics (including work with Binomial Distributions and Normal Distributions), matrices and their applications to Markov chains and decision theory. Additional topics may include symbolic logic, linear models, linear programming, the simplex method and applications.

3

#### Prerequisites

Appropriate mathematics placement score or a C or higher in MTH 100.

### MTH 111 : SUPPORT FOR PRECALCULUS ALGEBRA

This Learning Support course provides co-requisite support in mathematics for students enrolled in MTH 112 Precalculus Algebra. Topics will parallel topics being studied in MTH 112 such as the algebra of functions – including polynomial, rational, exponential, and logarithmic functions, systems of equations and inequalities, quadratic inequalities, and the binomial theorem. This course will enhance the essential quantitative skills needed to be successful in MTH 112. This course does not apply toward the general core requirements for mathematics.

2

#### Prerequisites

A grade of C or higher in MTH 100 or appropriate placement score.

### MTH 112 : PRECALCULUS ALGEBRA

This course emphasizes the algebra of functions -including polynomial, rational, exponential, and logarithmic functions. The course also covers systems of equations and inequalities, quadratic inequalities, and the binomial theorem. Additional topics may include matrices, Cramer’s Rule, and mathematical induction.

3

#### Prerequisites

Appropriate mathematics placement score or a C or higher in MTH 100.

### MTH 113 : PRECALCULUS TRIGONOMETRY

This course includes the study of trigonometric (circular functions) and inverse trigonometric functions, and includes extensive work with trigonometric identities and trigonometric equations. The course also covers vectors, complex numbers, DeMoivre’s Theorem, and polar coordinates. Additional topics may include conic sections, sequences, and using matrices to solve linear systems.

3

#### Prerequisites

Appropriate mathematics placement score or a C or higher in MTH 112.

### MTH 115 : PRECALCULUS ALGEBRA & TRIGONOMETRY

This course is a one semester combination of Precalculus Algebra and Precalculus Trigonometry intended for superior students. The course covers the following topics: the algebra of functions (including polynomial, rational, exponential, and logarithmic functions), systems of equations and inequalities, quadratic inequalities, and the binomial theorem, as well as the study of trigonometric (circular functions) and inverse trigonometric functions, and includes extensive work with trigonometric identities and trigonometric equations, vectors, complex numbers, DeMoivre’s Theorem, and polar coordinates.

4

#### Prerequisites

Appropriate mathematics placement score or a C or higher in MTH 100.

### MTH 116 : MATHEMATICAL APPLICATIONS

This course provides practical applications of mathematics and includes selected topics from consumer math and algebra. Some topics included are integers, percent, interest, ratio and proportion, metric system, probability, linear equations, and problem solving.

3

### MTH 120 : CALCULUS AND ITS APPLICATIONS

This course is intended to give a broad overview of calculus and is taken primarily by students majoring in Commerce and Business Administration. It includes differentiation and integration of algebraic, exponential, and logarithmic functions and applications to business and economics. The course should include functions of several variables, partial derivatives (including applications), Lagrange Multipliers, L’Hopital’s Rule, and multiple integration (including applications).

3

#### Prerequisites

Appropriate mathematics placement score or a C or higher in MTH 112.

### MTH 125 : CALCULUS I

This is the first of three courses in the basic calculus sequence taken primarily by students in science, engineering, and mathematics. Topics include the limit of a function; the derivative of algebraic, trigonometric, exponential, and logarithmic functions; and the definite integral and its basic applications to area problems. Applications of the derivative are covered in detail, including approximations of error using differentials, maximum and minimum problems, and curve sketching using calculus.

4

#### Prerequisites

Appropriate mathematics placement score or a C or higher in MTH 113 or MTH 115.

### MTH 126 : CALCULUS II

This is the second of three courses in the basic calculus sequence. Topics include vectors in the plane and in space, lines and planes in space, applications of integration (such as volume, arc length, work and average value), techniques of integration, infinite series, polar coordinates, and parametric equations.

4

#### Prerequisites

Appropriate mathematics placement score or a C or higher in MTH 125.

### MTH 192 : PRECALCULUS ALGEBRA LABORATORY

This course is designed to accompany a Pre-Calculus Algebra Course. It provides a laboratory setting in which students receive individualized instruction, work on laboratory exercises and group projects. Emphasis will be on applications of mathematics.

1

#### Corequisites

Registration in MTH 112 Pre-calculus Algebra.

### MTH 193 : PRECALCULUS TRIGONOMETRY LABORATORY

This course is designed to accompany a Pre-Calculus Trigonometry Course. It provides a laboratory setting in which students receive individualized instruction, work on laboratory exercises and group projects. Emphasis will be on applications of mathematics.

1

#### Corequisites

Registration in MTH 113 Pre-Calculus Trigonometry.

### MTH 194 : PRE-CALCULUS ALGEBRA & TRIGONOMETRY LABORATORY

This course is designed to accompany a Pre-Calculus and Trigonometry Course. It provides a laboratory setting in which students receive individualized instruction, work on laboratory exercises and group projects. Emphasis will be on applications of mathematics.

1

#### Corequisites

Registration in MTH 115 Pre-Calculus Algebra & Trigonometry.

### MTH 195 : CALCULUS I LABORATORY

This course is designed to accompany a Calculus I Course. It provides a laboratory setting in which students receive individualized instruction, work on laboratory exercises and group projects. Emphasis will be on applications of mathematics.

1

#### Corequisites

Registration in MTH 125 Calculus I.

### MTH 196 : CALCULUS II LABORATORY

This course is designed to accompany a Calculus II Course. It provides a laboratory setting in which students receive individualized instruction, work on laboratory exercises and group projects. Emphasis will be on applications of mathematics.

1

#### Corequisites

Registration in MTH 126 Calculus II.

### MTH 227 : CALCULUS III

This is the third of three courses in the basic calculus sequence. Topics include vector functions, functions of two or more variables, partial derivatives (including applications), quadric surfaces, multiple integration, and vector calculus (including Green’s Theorem, Curl and Divergence, surface integrals, and Stokes’ Theorem).

4

MTH 126

### MTH 231 : MATH FOR ELEMENTARY SCHOOL TEACHERS

This course is designed to provide appropriate insights into mathematics for students majoring in elementary education and to ensure that students going into elementary education are more than proficient at performing basic arithmetic operations. Topics include logic, sets and functions, operations and properties of whole numbers and integers including number theory; use of manipulatives by teachers to demonstrate abstract concepts; and by students while learning these abstract concepts as emphasized in the class. Upon completion, students are required to demonstrate proficiency in each topic studied as well as to learn teaching techniques that are grade level and subject matter appropriate, and test for mathematical proficiency and the learning of teaching concepts.

3

#### Prerequisites

As required by program

### MTH 237 : LINEAR ALGEBRA

This course introduces the basic theory of linear equations and matrices, real vector spaces, bases and dimension, linear transformations and matrices, determinants, eigenvalues and eigenvectors, inner product spaces, and the diagonalization of symmetric matrices. Additional topics may include quadratic forms and the use of matrix methods to solve systems of linear differential equations.

3

MTH 126

### MTH 238 : APPLIED DIFFERENTIAL EQUATIONS I

An introduction to numerical methods, qualitative behavior of first order differential equations, techniques for solving separable and linear equations analytically, and applications to various models (e.g. populations, motion, chemical mixtures, etc.); techniques for solving higher order linear differential equations with constant coefficients (general theory, undetermined coefficients, reduction of order and the method of variation of parameters), with emphasis on interpreting the behavior of the solutions, and applications to physical models whose governing equations are of higher order; and the Laplace transform as a tool for the solution of initial value problems whose inhomogeneous terms are discontinuous.

3

#### Prerequisites

MTH 227 (or corequisite)

### MTH 265 : ELEMENTARY STATISTICS

This course provides an introduction to methods of statistics, including the following topics: sampling, frequency distributions, measures of central tendency, graphic representation, reliability, hypothesis testing, confidence intervals, analysis, regression, estimation, and applications. Probability, permutations, combinations, binomial theorem, random variables, and distributions may be included.

3

#### Prerequisites

MTH 100 or appropriate placement score

### MTH 297 : CALCULUS III LABORATORY

This course is designed to accompany a Calculus III Course. It provides a laboratory setting in which students receive individualized instruction, work on laboratory exercises and group projects. Emphasis will be on applications of mathematics.

1

#### Corequisites

Registration in MTH 227 Calculus III