**MATHEMATICS (MTH) **

**MTH 098 Elementary Algebra**

4 institutional hrs.

PREREQUISITE: None

This course provides a study of the 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 requirement for mathematics. (F, Sp, Su)

**MTH 099 Support for Intermediate College Algebra. **

1 institutional hr.

PREREQUISITE: Appropriate mathematics placement score (MTH 098 is not a prerequisite for MTH 099. A student who successfully completes MTH 098 is eligible for MTH 100 without the support course.)

COREQUISITE: MTH 100 This learning support course provides corequisite 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 Course Descriptions 35 Jefferson State Community College 2022-2023 class. This course does not apply toward the general core requirement for mathematics. Code-C. (F, Sp, Su)

**MTH 100 Intermediate College Algebra. **

3 hrs.

PREREQUISITE: Grade of “C” or higher in MTH 098 or appropriate mathematics placement score.

COREQUISITE: MTH 099 Support for Intermediate College Algebra, if required.

This course provides a study of algebraic concepts such as laws of exponents, polynomial operations, factoring polynomials, radical and rational expressions and equations and quadratic equations. Functions and relations are introduced and graphed. This course does not apply toward the general core requirement for mathematics. AMTH. A116. Code-B. (F, Sp, Su)

**MTH 109S Support for Finite Mathematics. **

1 hr.

PREREQUISITE: Appropriate mathematics placement score (MTH 098 is not a prerequisite for MTH 109S. A student who successfully completes MTH 098 is eligible for MTH 110 without the support course.)

COREQUISITE: MTH 110

This learning support course provides corequisite support in mathematics for students enrolled in MTH 110. The material covered in this course is parallel to and supportive of the material taught in MTH 110. Emphasis is placed on providing students with additional academic and noncognitive support with the goal of success in the students’ paired MTH 110 class. This course does not apply toward the general core requirement for mathematics. Code-C. (F, Sp, Su)

**MTH 110 Finite Mathematics. **

3 hrs.

PREREQUISITE: 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 is that the student should successfully pass with a “C” or higher in MTH 098.

COREQUISITE: MTH 109S Support for Finite Mathematics, if required.

This course provides an overview of topics in finite mathematics together with their applications and is intended for students who are not majoring in science, engineering, commerce, or mathematics (i.e., students who are not required to take calculus). The course introduces logic, set theory, counting techniques, basic probability, statistics, and personal finance. Core Area III. AMTH. A116. Code-A. (F, Sp, Su)

**MTH 111S Support for Precalculus Algebra. **

1 hr.

PREREQUISITE: Appropriate mathematics placement score (MTH 100 is not a prerequisite for MTH 111S. A student who successfully completes MTH 100 is eligible for MTH 112 without the support course.)

COREQUISITE: MTH 112 This learning support course provides corequisite support in mathematics for students enrolled in MTH 112.

The material covered in this course is parallel to and supportive of the material taught in MTH 112. Emphasis is placed on providing students with additional academic and noncognitive support with the goal of success in the students’ paired MTH 112 class. This course does not apply toward the general core requirement for mathematics. Code-C. (F, Sp, Su)

**MTH 112 Precalculus Algebra **

3 hrs.

PREREQUISITE: 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 is that the student should successfully pass with a “C” or higher in MTH 100.

COREQUISITE: MTH 111S Support for PreCalculus Algebra, if required.

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. Core Area III. AMTH. A116. Code-A. (F, Sp, Su)

**MTH 113 Precalculus Trigonometry. **

3 hrs.

PREREQUISITE: 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 is that the student should successfully pass with a “C” or higher in MTH 112.

This course includes the study of trigonometric (circular) functions and inverse trigonometric functions, as well as extensive work with trigonometric identities, equations, and formulas. The course also covers vectors, complex numbers, DeMoivre’s Theorem, and polar graphs. Additional topics may include conic sections and product-sum formulas. Core Area III. AMTH. A116. Code-A. (F, Sp, Su)

**MTH 116 Mathematical Applications. **

3 hrs.

PREREQUISITE: None

This course provides practical applications of mathematics and includes selected topics from consumer math, algebra, and geometry. The course covers integers, percent, interest, ratio and proportion, measurement systems, linear equations, and problem solving. A116. Code-C. (F, Sp, Su)

**MTH 120 Calculus and its Applications. **

3 hrs.

PREREQUISITE: 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 is that the student should successfully pass with a “C” or higher in MTH 112 or MTH 113.

This course is intended to give a broad overview of calculus. It includes limits, differentiation, and integration of algebraic, exponential, logarithmic, and multi-variable functions with applications to business, economics, and other disciplines. This course may also include LaGrange multipliers, extrema of functions of two variables, method of least squares, linear approximation, and linear programming. Core Area III. AMTH. A116. Code-A. (F, Sp, Su)

**MTH 125S Calculus I. **

4 hrs.

PREREQUISITE: 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 is that the student should successfully pass with a “C” or higher in MTH 113.

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. Core Area III. AMTH. A116. Code-A. (F, Sp, Su)

**MTH 126S Calculus II. **

4 hrs.

PREREQUISITE: 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 is that the student should successfully pass with a “C” or higher in MTH 125S.

This is the second of three courses in the basic calculus sequence. Topics include applications of integration, techniques of integration, infinite series, polar coordinates, and parametric equations, lines and planes in space, and vectors in the plane and in space. Core Area III. AMTH. A116. Code-A. (F, Sp, Su)

**MTH 227 Calculus III. **

4 hrs.

PREREQUISITE: Grade of “C” or higher in MTH 126S.

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). Core Area III. AMTH. A116. Code-A. (Sp, Su)

**MTH 231 Math for the Elementary Teacher I. **

3 hrs.

PREREQUISITE: Grade of “C” or higher in MTH 100 or appropriate mathematics placement score.

This course is designed to develop a deeper understanding of elementary school mathematics content needed for teaching. The course is designed to develop conceptual understanding of number systems and operations by focusing on basic concepts and principles, exploring multiple representations and strategies, and illuminating connections among concepts and procedures. Topics include whole numbers and integers, fractions, ratio, percent, decimals, and arithmetic operations within these systems. A116. Code-B. (on demand)

**MTH 232 Math for the Elementary Teacher II. **

3 hrs.

PREREQUISITE: Grade of “C” or higher in MTH 100 or appropriate mathematics placement score.

This course is designed to provide mathematical insights into measurement and geometry for students majoring in elementary education. Topics include geometric shapes (twoand three-dimensional), measurement, congruence and similarity, symmetry, and transformations. A116. Code-B. (on demand)

**MTH 237 Linear Algebra. **

3 hrs.

PREREQUISITE: Grade of “C” or higher in MTH 126S.

This course introduces the basic theory and application of the following topics: systems of linear equations and matrices, (finite-dimensional) vector spaces, linear transformations and matrices, determinants, eigenvalues and eigenvectors, inner product and orthogonality, Gram-Schmidt, least squares, and the diagonalization of symmetric matrices. Core Area III. AMTH. A116. Code-A. (on demand)

**MTH 238 Applied Differential Equations I. **

3 hrs.

Corequisite: MTH 227.

This course is an introduction to techniques for solving differential equations with applications. Topics include solving first order differential equations, applications to various models (e.g. populations, motion, chemical mixtures, etc.), solving higher order linear differential equations with constant coefficients (general theory, undetermined coefficients, reduction of order and the method of variation of parameters, and Laplace transform). Series solutions and solutions to systems are also covered. Core Area III. AMTH. A116. Code-A. (Su)

**MTH 265 Elementary Statistics. **

3 hrs.

PREREQUISITE: Grade of “C” or higher in MTH 100 or appropriate mathematics placement score.

This course provides an introduction to methods of statistics and includes the following topics: sampling, frequency distributions, measures of central tendency and variation, probability, discrete and continuous distributions, graphic representation, hypothesis testing, confidence intervals, regression, and applications. AMTH. A116. Code-B. (F, Sp, Su)