mathematics - alabama community college system · web viewan introduction to numerical methods,...

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.

2/11/19

SUMMARY OF CHANGESDate 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


2/11/19 MTH 109

SUPPORT FOR FINITE MATHEMATICS


2/11/19 MTH 111

SUPPORT FOR PRECALCULUS ALGEBRA


2/14/20 MTH 112 PRECALCULUS ALGEBRA Updated course description based on

September 13, 2019, Curriculum ReviewCOMMENTS:

The Alabama Community College SystemCopyright © 2018All rights reserved

Mathematics Course Directory

DPT CRS COURSE TITLE THEORY LAB COURSE

MTH 099SUPPORT FOR

INTERMEDIATE COLLEGE ALGEBRA

1-2 0 1-2

Course Description Date Added 5/23/2018CODE - CPREREQUISITE: 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.


MTH 100 INTERMEDIATE COLLEGE ALGEBRA 3 0 3

Course Description Date Added 5/23/2018CODE - 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.

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MTH 102MATHEMATICS APPLICATIONS LABORATORY

1-3 0 1-3

Course Description Date Added 4/15/02CODE - 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.


MTH 103 INTRODUCTION TO TECHNICAL MATHEMATICS 3 0 3

Course Description Date Added Mm/dd/yyCODE - 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.


MTH 104 PLANE TRIGONOMETRY 3 0 3

Course Description Date Added Mm/dd/yyCODE - C PREREQUISITE: MTH 100.

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


MTH 109 SUPPORT FOR FINITE MATHEMATICS 1-2 0 1-2

Course Description Date Added Mm/dd/yyCODE - C PREREQUISITE: Appropriate mathematics placement score or MTH 100 Intermediate College Algebra

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 ACCS Copyright© 2018All rights reserved

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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.


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MTH 110 FINITE MATHEMATICS 3 0 3

Course Description Date Added Mm/dd/yyCODE - A 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 (S if taken as pass/fail) Intermediate College Algebra.

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

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.


MTH 111 SUPPORT FOR PRECALCULUS ALGEBRA 1-2 0 1-2

Course Description Date Added Mm/dd/yyCODE - 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.


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MTH 112 PRECALCULUS ALGEBRA 3 0 3

Course Description Date Added Mm/dd/yyCODE - 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.


MTH 113 PRECALCULUS TRIGONOMETRY 3 0 3

Course Description Date Added Mm/dd/yyCODE - A PREREQUISITE: 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 (S if taken as pass/fail) MTH 112.

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.


MTH 115 PRECALCULUS ALGEBRA & TRIGONOMETRY 4 0 4

Course Description Date Added Mm/dd/yyCODE - A PREREQUISITE: 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 (S if taken as pass/fail) MTH 100 and receive permission from the department chairperson.

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.


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MTH 116 MATHEMATICAL APPLICATIONS 3 0 3

Course Description Date Updated 5/1/08CODE - C PREREQUISITE: MTH 090 or appropriate mathematics placement score.

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.


MTH 117 COLLEGE MATHEMATICS WITH APPLICATIONS 3 0 3

Course Description Date Added Mm/dd/yyCODE - 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.


MTH 118 TECHNICAL MATHEMATICS 3 0 3

Course Description Date Added Mm/dd/yyCODE - 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.


MTH 120 CALCULUS AND ITS APPLICATIONS 3 0 3

Course Description Date Added Mm/dd/yyCODE - A PREREQUISITE: 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 112.


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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).


MTH 125 CALCULUS I 4 0 4

Course Description Date Added Mm/dd/yyCODE - A PREREQUISITE: 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 113 or MTH 115.

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.


MTH 126 CALCULUS II 4 0 4

Course Description Date Added Mm/dd/yyCODE - A PREREQUISITE: 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.

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.


MTH 131 MATHEMATICS IN GENERAL EDUCATION I 3 0 3

Course Description Date Added Mm/dd/yyCODE - 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


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the metric system. This course does not apply toward the general core requirement for mathematics.


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MTH 132 MATHEMATICS IN GENERAL EDUCATION II 3 0 3

Course Description Date Added Mm/dd/yyCODE - 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.


MTH 150 SPECIAL TOPICS IN MATHEMATICS 1-3 0 1-3

Course Description Date Added Mm/dd/yyPREREQUISITE: 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.


MTH 156 MATHEMATICS COMPUTER PROGRAMMING 3 0 3


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.


MTH 186 MEDICAL DOSAGE CALCULATION 1 0 1

Course Description Date Added Mm/dd/yyCODE - 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 ACCS Copyright© 2018All rights reserved

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requirement for mathematics.


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MTH 192 PRE-CALCULUS ALGEBRA LABORATORY 0 1 1

Course Description Date Added 4/17/02CODE - 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.


MTH 193PRE-CALCULUS TRIGONOMETRY LABORATORY

0 1 1

Course Description Date Added 4/17/02CODE - 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.


MTH 194PRE-CALCULUS ALGEBRA

& TRIGONOMETRY LABORATORY

0 1 1

Course Description Date Added 4/17/02CODE - 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.


MTH 195 CALCULUS I LABORATORY 0 1 1

Course Description Date Added 4/17/02CODE - 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.


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MTH 196 CALCULUS II LABORATORY 0 1 1

Course Description Date Added 4/17/02CODE - 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.


MTH 227 CALCULUS III 4 0 4

Course Description Date Added Mm/dd/yyCODE - A PREREQUISITE: 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.


MTH 231 MATH FOR THE ELEMENTARY TEACHER I 3 0 3

Course Description Date Added Mm/dd/yyCODE - B PREREQUISITE: As required by program.

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.


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MTH 232 MATH FOR THE ELEMENTARY TEACHER II 3 0 3

Course Description Date Added Mm/dd/yyCODE - B PREREQUISITE: MTH 231.

This course is the second 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 proficient at performing basic arithmetic operations. Topics include numeration skills with fractions, decimals and percentages, elementary concepts of probability and statistics, and analytic geometry concepts associated with linear equations and inequalities. The use of manipulatives and calculators in the teaching and learning process is stressed. Upon completion, students will test for mathematical proficiency and the learning of teaching concepts. Students also will demonstrate an appropriate teaching technique by preparing a lesson and teaching it to the class for their final exam grade.


MTH 233 MATH FOR THE ELEMENTARY TEACHER III 3 0 3


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.


MTH 237 LINEAR ALGEBRA 3 0 3

Course Description Date Added Mm/dd/yyCODE - A PREREQUISITE: MTH 126.

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.


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MTH 238 APPLIED DIFFERENTIAL EQUATIONS I 3 0 3

Course Description Date Added Mm/dd/yyCODE - A COREQUISITE: MTH 227.

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; the Laplace transform as a tool for the solution of initial value problems whose inhomogeneous terms are discontinuous.


MTH 246 MATHEMATICS OF FINANCE 3 0 3

Course Description Date Added Mm/dd/yyCODE - 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.


MTH 250 DISCRETE MATHEMATICS 3 0 3

Course Description Date Added Mm/dd/yyCODE - 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.


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MTH 252 SPECIAL TOPICS IN MATHEMATICS II 1-3 0 1-3

Course Description Date Added Mm/dd/yyPREREQUISITE: 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.


MTH 265 ELEMENTARY STATISTICS 3 0 3

Course Description Date Added Mm/dd/yyCODE - B PREREQUISITE: MTH 100 or appropriate mathematics placement score.

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.


MTH 270 PROBABILITY AND STATISTICS CONCEPTS 3 0 3

Course Description Date Added Mm/dd/yyCODE - 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.


MTH 297 CALCULUS III LABORATORY 0 1 1

Course Description Date Added 4/17/02CODE - C


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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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mathematics - alabama community college system · web viewan introduction to numerical methods,...

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