Mathematics - Alabama Community College System



COURSE DESCRIPTIONS: GENERAL STUDIES

Section I ─ MATHEMATICS (MTH)

TRANSFER CODE DESIGNATIONS

CODE A = AGSC approved transfer courses in Areas I-IV that are common to all institutions.

CODE B = Area V courses that are deemed appropriate to the degree and pre-major requirements of individual students.

CODE C = Potential Area V transfer courses that are subject to approval by respective receiving institutions.

11/02/20

|Summary of Changes |

|Date |CRS # |COURSE TITLE |RECENT CHANGES |

|10/9/18 |MTH 099 |SUPPORT FOR INTERMEDIATE COLLEGE ALGEBRA |Updated to reflect changes approved by the College Readiness |

| | | |Task Force. |

|10/9/18 |MTH 100 |INTERMEDIATE COLLEGE ALGEBRA |Updated to reflect changes approved by the College Readiness |

| | | |Task Force. |

|2/11/19 |MTH 109 |SUPPORT FOR FINITE MATHEMATICS |Updated to reflect changes approved by the College Readiness |

| | | |Task Force. |

|2/11/19 |MTH 111 |SUPPORT FOR PRECALCULUS ALGEBRA |Updated to reflect changes approved by the College Readiness |

| | | |Task Force. |

|2/14/20 |MTH 112 |PRECALCULUS ALGEBRA |Updated course description based on September 13, 2019, |

| | | |Curriculum Review |

|05/28/20 |MTH 113 |PRECALCULUS TRIGONOMETRY |Updated course description based on February 21, 2020, |

| | | |Curriculum Review |

|05/28/20 |MTH 115 |PRECALCULUS ALGEBRA AND TRIGONOMETRY |Updated course description based on February 21, 2020, |

| | | |Curriculum Review |

|05/28/20 |MTH 116 |MATHEMATICAL APPLICATIONS |Updated course description based on February 21, 2020, |

| | | |Curriculum Review |

|05/28/20 |MTH 120 |CALCULUS AND ITS APPLICATIONS |Updated course description based on February 21, 2020, |

| | | |Curriculum Review |

|05/28/20 |MTH 125 |CALCULUS I |Updated course description based on February 21, 2020, |

| | | |Curriculum Review |

|05/28/20 |MTH 126 |CALCULUS II |Updated course description based on February 21, 2020, |

| | | |Curriculum Review |

|05/28/20 |MTH 227 |CALCULUS III |Updated course description based on February 21, 2020, |

| | | |Curriculum Review |

|05/28/20 |MTH 231 |MATH FOR THE ELEMENTARY TEACHER I |Updated course description based on February 21, 2020, |

| | | |Curriculum Review |

|05/28/20 |MTH 232 |MATH FOR THE ELEMENTARY TEACHER II |Updated course description based on February 21, 2020, |

| | | |Curriculum Review |

|05/28/20 |MTH 237 |LINEAR ALGEBRA |Updated course description based on February 21, 2020, |

| | | |Curriculum Review |

|05/28/20 |MTH 238 |APPLIED DIFFERENTIAL EQUATIONS |Updated course description based on February 21, 2020, |

| | | |Curriculum Review |

|05/28/20 |MTH 265 |ELEMENTARY STATISTICS |Updated course description based on February 21, 2020, |

| | | |Curriculum Review |

|11/02/20 |MTH 110 |FINITE MATH |Updated course description based on February 21, 2020, |

| | | |Curriculum Review and approval by AGSC. |

|COMMENTS: |

|DPT |CRS |COURSE TITLE |THEORY |LAB |COURSE |

|Course Description |Date Added |5/23/2018 |

|CODE - C |

|PREREQUISITE: Appropriate mathematics placement score or MTH 098 Elementary Algebra. (Note that MTH 099 is required for students |

|completing MTH 098 Elementary Algebra.) |

|COREQUISITE: MTH 100 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 course does not |

|apply toward the general core requirement for mathematics. |

|DPT |CRS |COURSE TITLE |THEORY |LAB |COURSE |

|Course Description |Date Added |5/23/2018 |

|CODE - B |

|PREREQUISITE: MTH 098 Elementary Algebra or appropriate mathematics placement score. |

|COREQUISITE: MTH 099 Support for Intermediate College Algebra, if required. (Note that MTH 099 is required for students completing |

|MTH 098 Elementary Algebra.) |

|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. |

|DPT |CRS |COURSE TITLE |THEORY |LAB |COURSE |

|Course Description |Date Added |4/15/02 |

|CODE - C |

|PREREQUISITE: MTH 100 or MTH 117. |

|This course is designed to offer specific mathematics application to students in applied science programs. Individual student |

|needs are determined by Work Keys assessments. Instruction is offered through open lab/Web-based methods using Plato, WINN or |

|other programs aligned with Work Keys. |

|DPT |CRS |COURSE TITLE |THEORY |LAB |COURSE |

|Course Description |Date Added |Mm/dd/yy |

|CODE - C |

|PREREQUISITE: MTH 092 or MTH 098 or appropriate mathematics placement score. |

|This course is designed for the student in technology needing simple arithmetic, algebraic, and right triangle trigonometric |

|skills. |

|DPT |CRS |COURSE TITLE |THEORY |LAB |COURSE |

|Course Description |Date Added |Mm/dd/yy |

|CODE - C |

|PREREQUISITE: MTH 100. |

|This course emphasizes such topics as the solution of triangles, vectors, geometric concepts and complex numbers. |

|DPT |CRS |COURSE TITLE |THEORY |LAB |COURSE |

|Course Description |Date Added |Mm/dd/yy |

|CODE - C |

|PREREQUISITE: Appropriate mathematics placement score or MTH 098 Elementary Algebra. (Note that MTH 109 is required for students |

|moving directly from MTH 098 Elementary Algebra to MTH 110.) |

|COREQUISITE: MTH 110 Finite Mathematics |

|This Learning Support course provides co-requisite 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. |

|DPT |CRS |COURSE TITLE |THEORY |LAB |COURSE |

|Course Description |Date Added |Mm/dd/yy |

|CODE - A |

|PREREQUISITE: Grade of C or higher in MTH 098 Elementary Algebra or appropriate mathematics placement score. |

| |

|COREQUISITE: MTH 109 Support for Finite Mathematics OR other mandatory support, if required. (Note that MTH 109 is required for |

|students moving directly from MTH 098 Elementary Algebra to MTH 110.) |

| |

|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. |

|DPT |CRS |COURSE TITLE |THEORY |LAB |COURSE |

|Course Description |Date Added |Mm/dd/yy |

|CODE - C |

|PREREQUISITE: Appropriate mathematics placement score or MTH 100 Intermediate College Algebra. |

|COREQUISITE: MTH 112 Precalculus Algebra |

|This Learning Support course provides co-requisite 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. Emnphasis 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. |

|DPT |CRS |COURSE TITLE |THEORY |LAB |COURSE |

|Course Description |Date Added |Mm/dd/yy |

|CODE - A |

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

| |

|COREQUISITE: MTH 111 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. |

|DPT |CRS |COURSE TITLE |THEORY |LAB |COURSE |

|Course Description |Date Added |Mm/dd/yy |

|CODE - A |

|PREREQUISITE: Grade of C or higher in MTH 112 or appropriate placement scores |

| |

|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. |

|DPT |CRS |COURSE TITLE |THEORY |LAB |COURSE |

|Course Description |Date Added |Mm/dd/yy |

|CODE - A |

|PREREQUISITE: As determined by college but may be no less than a C or higher in MTH 100 and permission from the department |

|chairperson. |

| |

|This course is a one-semester accelerated combination of Precalculus Algebra (MTH 112) and Precalculus Trigonometry (MTH 113). This|

|course is intended for students with a strong background in college preparatory mathematics. The course includes the algebra of |

|functions (including polynomial, rational, exponential, and logarithmic functions) as well as the study of trigonometric functions |

|and inverse trigonometric functions. This course also includes extensive work with trigonometric identities, equations, and |

|formulas; vectors; complex numbers; and polar graphs. |

|DPT |CRS |COURSE TITLE |THEORY |LAB |COURSE |

|Course Description |Date Updated |5/1/08 |

|CODE - C |

|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. |

|DPT |CRS |COURSE TITLE |THEORY |LAB |COURSE |

|Course Description |Date Added |Mm/dd/yy |

|CODE - C |

|PREREQUISITE: MTH 092 or MTH 098 or appropriate placement score. |

|This is an applied course designed to meet mathematics requirements for some students in certificate and two-year terminal |

|programs. Emphasis is placed on percent, interest, proportions, functions, graphing, systems of equations, logarithmic and |

|exponential functions, quadratics, and linear programming as used to solve applied problems in selected programs of study. This |

|course does not meet the general core requirement for mathematics. |

|DPT |CRS |COURSE TITLE |THEORY |LAB |COURSE |

|Course Description |Date Added |Mm/dd/yy |

|CODE - C |

|PREREQUISITE: MTH 100 or appropriate mathematics placement score. |

|This course includes selected topics from algebra, analytic geometry, and trigonometry with emphasis on applications to engineering|

|technology. Topics may include variation, determinants, conic sections, exponential and logarithmic functions, and solutions of |

|right triangles. This course does not apply toward the general core requirement for mathematics. |

|DPT |CRS |COURSE TITLE |THEORY |LAB |COURSE |

|Course Description |Date Added |Mm/dd/yy |

|CODE - A |

|PREREQUISITE: Grade of C or higher in MTH 112, 113, or 115 or appropriate placement score. |

| |

|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. |

|DPT |CRS |COURSE TITLE |THEORY |LAB |COURSE |

|Course Description |Date Added |Mm/dd/yy |

|CODE - A |

|PREREQUISITE: Grade of C or higher in MTH 113 or 115 or appropriate placement score. |

| |

|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. |

|DPT |CRS |COURSE TITLE |THEORY |LAB |COURSE |

|Course Description |Date Added |Mm/dd/yy |

|CODE - A |

|PREREQUISITE: Grade of C or higher in MTH 125 |

| |

|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. |

|DPT |CRS |COURSE TITLE |THEORY |LAB |COURSE |

|Course Description |Date Added |Mm/dd/yy |

|CODE - C |

|PREREQUISITE: As required by program. |

|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. |

|DPT |CRS |COURSE TITLE |THEORY |LAB |COURSE |

|Course Description |Date Added |Mm/dd/yy |

|CODE - C |

|PREREQUISITE: MTH 131 or appropriate mathematics placement score. |

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

|DPT |CRS |COURSE TITLE |THEORY |LAB |COURSE |

|Course Description |Date Added |Mm/dd/yy |

|PREREQUISITE: As required by program. |

|This course, which may be repeated for credit so long as the topics differ, permits a student to study with an instructor a topic |

|in mathematics.  Emphasis is placed on selected topics in mathematics of special interest to the student and instructor.  Topics |

|and coursework are based on Principles and Standards for School Mathematics from the National Council of Teachers of Mathematics.  |

|This is a non-transferable course.   Students will demonstrate competency on selected topics by performance on projects, daily |

|work, classroom exams, and a comprehensive final.  |

|DPT |CRS |COURSE TITLE |THEORY |LAB |COURSE |

|Course Description |Date Added |Mm/dd/yy |

|CODE - C |

|PREREQUISITE: MTH 125. |

|This course is a balance between C++ programming, Windows programming, and applications to engineering and mathematics. This course|

|is designed primarily for pre-engineering students as a first course in computer programming and applications. This course does not|

|meet the general core requirement for mathematics. |

|DPT |CRS |COURSE TITLE |THEORY |LAB |COURSE |

|Course Description |Date Added |Mm/dd/yy |

|CODE - C |

|PREREQUISITE: MTH 090 or suitable placement score. |

|This course explains mathematical applications to the following dosage calculations: oral dosages, injectable drugs, intravenous |

|fluids, insulin, heparin, pediatric dosages, geriatric dosages, and electrolyte solutions. This course does not apply toward the |

|general core requirement for mathematics. |

|DPT |CRS |COURSE TITLE |THEORY |LAB |COURSE |

|Course Description |Date Added |4/17/02 |

|CODE - C |

|COREQUISITE: Registration in MTH 112 Pre-Calculus Algebra. |

|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. |

|DPT |CRS |COURSE TITLE |THEORY |LAB |COURSE |

|Course Description |Date Added |4/17/02 |

|CODE - C |

|COREREQUISITE: Registration in MTH 113 Pre-Calculus Trigonometry. |

|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. |

|DPT |CRS |COURSE TITLE |THEORY |LAB |COURSE |

|Course Description |Date Added |4/17/02 |

|CODE - C |

|COREREQUISITE: Registration in MTH 115 Pre-Calculus Algebra & Trigonometry. |

|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. |

|DPT |CRS |COURSE TITLE |THEORY |LAB |COURSE |

|Course Description |Date Added |4/17/02 |

|CODE - C |

|COREQUISITE: Registration in MTH 125 Calculus I. |

|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. |

|DPT |CRS |COURSE TITLE |THEORY |LAB |COURSE |

|Course Description |Date Added |4/17/02 |

|CODE - C |

|COREQUISITE: Registration in MTH 125 Calculus II. |

|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. |

|DPT |CRS |COURSE TITLE |THEORY |LAB |COURSE |

|Course Description |Date Added |Mm/dd/yy |

|CODE - A |

|PREREQUISITE: Grade of C or higher in MTH 126 |

| |

|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). |

|DPT |CRS |COURSE TITLE |THEORY |LAB |COURSE |

|Course Description |Date Added |Mm/dd/yy |

|CODE - B |

|PREREQUISITE: Grade of C or higher in MTH 100 or appropriate 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. |

|DPT |CRS |COURSE TITLE |THEORY |LAB |COURSE |

|Course Description |Date Added |Mm/dd/yy |

|CODE - B |

|PREREQUISITE: Grade of C or higher in MTH 100 or appropriate placement score |

| |

|This course is designed to provide mathematical insights into measurement and geometry for students majoring in elementary |

|education. Topics include geometric shapes (two- and three-dimensional), measurement, congruence and similarity, symmetry, and |

|transformations. |

|DPT |CRS |COURSE TITLE |THEORY |LAB |COURSE |

|Course Description |Date Added |Mm/dd/yy |

|CODE - C |

|PREREQUISITE: MTH 232. |

|This course is the third of a three-course sequence and 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 concepts for plane and solid geometry. Emphasis is on linear measurement as well as |

|fundamental concepts of geometry dealing with lines, angles, triangles, polygons, and solids. The metric system is used for |

|measurement through the course. The use of manipulatives and calculators in the teaching and learning process is emphasized. Upon |

|completion, students will be given exams to test for mathematical proficiency and the learning of teaching concepts. Additionally, |

|students will demonstrate teaching techniques by preparing a lesson and teaching it to the class for their final exam grade. |

|DPT |CRS |COURSE TITLE |THEORY |LAB |COURSE |

|Course Description |Date Added |Mm/dd/yy |

|CODE - A |

|PREREQUISITE: Grade of C or higher in MTH 126 |

| |

|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. |

|DPT |CRS |COURSE TITLE |THEORY |LAB |COURSE |

|Course Description |Date Added |Mm/dd/yy |

|CODE - A |

|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 |

|DPT |CRS |COURSE TITLE |THEORY |LAB |COURSE |

|Course Description |Date Added |Mm/dd/yy |

|CODE - C |

|PREREQUISITE: MTH 092 or MTH 098 or appropriate mathematics placement score. |

|This course explores mathematical applications relevant to business practices. Types covered include simple and compound interest, |

|credits, trade and bank discounts, annuities, amortization, depreciation, stocks and bonds, insurance, capitalization, and |

|perpetuities. This course does not meet the general core requirement for mathematics. |

|DPT |CRS |COURSE TITLE |THEORY |LAB |COURSE |

|Course Description |Date Added |Mm/dd/yy |

|CODE - B |

|COREQUISITE: MTH 126-Calculus II. |

|This course provides an introduction to combinatorics and graph theory. Topics include sets, logic, relations and functions, |

|mathematical induction, algorithmic processes, recurrence relations, counting techniques, asymptotic growth, Boolean algebra, |

|graphs, and network algorithms. |

|DPT |CRS |COURSE TITLE |THEORY |LAB |COURSE |

|Course Description |Date Added |Mm/dd/yy |

|PREREQUISITE: As required by program. |

|This course, which may be repeated for credit so long as the topics differ, permits a student to study with an instructor a topic |

|in mathematics.  Emphasis is placed on selected topics in mathematics of special interest to the student and instructor.  Topics |

|and coursework are based on Principles and Standards for School Mathematics from the National Council of Teachers of Mathematics.  |

|This is a non-transferable course.   Students will demonstrate competency on selected topics by performance on projects, daily |

|work, classroom exams, and a comprehensive final.  |

|DPT |CRS |COURSE TITLE |THEORY |LAB |COURSE |

|Course Description |Date Added |Mm/dd/yy |

|CODE - B |

|PREREQUISITE: Grade of C or higher in MTH 100 or appropriate 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. |

|DPT |CRS |COURSE TITLE |THEORY |LAB |COURSE |

|Course Description |Date Added |Mm/dd/yy |

|CODE - B |

|COREQUISITE: MTH 126-Calculus II. |

|This course provides an examination of the theory and applications of probability and statistics based on topics from calculus. It |

|includes probability, sample spaces, random variables, probability distributions, estimation, confidence intervals, hypothesis |

|testing, experimental analysis, moments and moment-generating functions, and computer-assisted data analysis using appropriate |

|computer software. |

|DPT |CRS |COURSE TITLE |THEORY |LAB |COURSE |

|Course Description |Date Added |4/17/02 |

|CODE - C |

|COREREQUISITE: Registration in MTH 227 Calculus III. |

|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. |

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