# Mathematics

## Classes

### MAH 101 : Introductory Mathematics I

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

#### Prerequisites

Satisfactory placement score This course does not satisfy the general education components for a degree. NAC

### MTH 098 : Elementary Algebra

This course provides a study of the fundamentals of algebra. Topics include the real number system, linear equations and inequalities, graphing linear equations in two variables, laws of exponents, polynomial operations, and factoring polynomials. NOTICE(S): This course produces institutional, non-transferable-credit only and will not satisfy the requirements for degrees, certificates, and diplomas. Students must achieve a 70% or higher in this course to proceed to the next level Mathematics Course. NCA

4

#### Prerequisites

Appropriate mathematics placement.

### MTH 099 : Support for Intermediate College Algebra

This Learning Support course provides corequisite support in mathematics for students enrolled in MTH 100 Intermediate College Algebra. Topics will parallel topics being studied in MTH 100 such as linear equations and inequalities in two variables, quadratic equations, systems of equations, radical and rational expressions and equations. This course will enhance the essential quantitative skills needed to be successful in MTH 100. This course does not apply toward the general core requirements for mathematics.

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#### Corequisites

MTH 100 Intermediate College Algebra

### MTH 100 : Intermediate College Algebra

This course provides a study of algebraic concepts such as linear equations and inequalities in two variables, quadratic equations, systems of equations, radical and rational expressions and equations. Functions and relations are introduced and graphed. This course does not apply toward the general core requirement for mathematics.

3

#### Prerequisites

A grade of "C" (70 or above required within the Division of Mathematics) in MTH 098 (Elementary Algebra)
or appropriate mathematics placement score

### MTH 109 : Support for Finite Math

This Learning Support course provides corequisite 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.

1 - 2

#### Corequisites

MTH 110 Finite Math

### MTH 110 : Finite Mathematics

This course is tended to give an overview of topics in finite mathematics, together with their applications, and it 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). The course will draw on and significantly enhance the student’s arithmetic and algebraic skills. It includes sets, counting, permutations, combinations, basic probability (including Baye’s Theorem), an 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

All core mathematics courses in Alabama must have as a minimum prerequisite high school Algebra I,
Geometry, and Algebra II with an appropriate mathematics placement score. An alternative to this
prerequisite is that the student should pass with a “C” or higher (S if taken as pass/fail) MTH 100
(Intermediate College Algebra).

### MTH 111 : Support for Precalculus Algebra

This Learning Support course provides corequisite 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.

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#### Corequisites

MTH 112 Precalculus Algebra

### MTH 112 : Precalculus Algebra

This course emphasizes the algebra of functions - including polynomial, rational, exponential, and logarithmic functions. In addition, the course covers non-linear inequalities as well as systems of linear and non-linear equations and inequalities.

3

#### Prerequisites

Successful completion of MTH 100 Intermediate College Algebra with a grade of C or higher or appropriate placement

If required

### MTH 113 : Precalculus Trigonometry

This course includes the study of trigonometric (circular functions) and inverse trigonometric functions, and it 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

A minimum prerequisite of high school Algebra I, Geometry, and Algebra II with an appropriate
mathematics placement score is required. An alternative to this prerequisite is that the student should
successfully pass with a "C" or higher (S if taken as pass/fail) MTH 112 (Precalculus Algebra).

### 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. This is a terminal course designed for students seeking an A.A.S. degree and does not meet the general core requirement for mathematics.

3

#### Prerequisites

Appropriate mathematics placement.. *This class will not satisfy the STARS higher math requirement.

### 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

A minimum prerequisite of high school Algebra I, Geometry, and Algebra II with an appropriate
mathematics placement score is required. An alternative to this is that the student should successfully pass
with a grade of "C" or higher MTH 112 (Precalculus Algebra)

### 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 application 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

A minimum of high school Algebra I, Geometry, and Algebra II with an appropriate mathematics placement
score is required. An alternative to this is that the student should successfully pass with a “C” or higher
MTH 113 (Precalculus Trigonometry). This course is typically taught during the day every semester and only
nights during the fall term.

### 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

A minimum prerequisite of high school Algebra I, Geometry, and Algebra II with an appropriate
mathematics placement score is required. An alternative to this is that the student should successfully pass
with a “C” or higher MTH 125 (Calculus I). This course is typically taught during the spring term.

### MTH 131 : Mathematics in General Education I

This course is designed for general education and for all students in education programs except those who will concentrate on science or mathematics. Emphasis is on the structure of the number system from the integers to the real numbers, logic, numeration systems, prime numbers, basic concepts of algebra, elementary probability and statistics, graphs, informal geometry, and the metric system. This course does not apply toward the general core requirement for mathematics.

3

#### Prerequisites

Appropriate mathematics placement score.

### MTH 132 : Mathematics in General Education II

This course is a continuation of MTH 131. It does not apply toward the general core requirement for mathematics.

3

#### Prerequisites

A grade of "C" or higher (S if taken as pass/fail) in MTH 131 (Mathematics in General Education I) or
appropriate mathematics placement score. CORE

### 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), quadratic surfaces, multiple integration, and vector calculus (including Green's Theorem, Curl and Divergence, surface integrals, and Stokes' Theorem). This class is usually taught once a year during the summer term at night.

4

#### Prerequisites

A grade of "C" or higher in MTH 126 (Calculus II)

### MTH 237 : Linear Algebra

This course introduces the basic theory of linear equations and matrices, real vector spaces, bases and dimensions, 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

#### Prerequisites

A grade of "C" or higher in MTH 126 (Calculus II)

### 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., population, motion, chemical mixtures, etc.), techniques for solving higher order linear differential equations with constant coefficients (general theory, undetermined coefficients, reduction of order and the methods 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; the Laplace transform as a tool for the solution of initial value problems whose inhomogeneous terms are discontinuous.

3

#### Prerequisites

A grade of "C" or higher in MTH 126 (Calculus II)

#### Corequisites

MTH 227 (Calculus III)

### 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

A grade of "C" or higher (S if taken as pass/fail) in MTH 100 (Intermediate College Algebra)