Mathematics (Mth) (Mah)

COURSE DESCRIPTIONS: TRANSFER COURSE DISCIPLINES

SECTION I - O: MATHEMATICS (MTH) (MAH)

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.

DPT. CRS. "THEORY" "EXPERIMENTAL" "MANIPULATIVE" COURSE PRE NUM COURSE TITLE CREDIT WEEKLY CREDIT WEEKLY CREDIT WEEKLY CREDIT HOURS CONTACT HOURS CONTACT HOURS CONTACT HOURS HOURS HOURS HOURS MTH 110 FINITE 3 3 0 0 0 0 3 MATHEMATICS

CODE - 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.

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.

CODE - 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 C or higher (S if taken as pass/fail) Intermediate College 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.

CODE - 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.

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.

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).

DPT. CRS. "THEORY" "EXPERIMENTAL" "MANIPULATIVE" COURSE PRE NUM COURSE CREDIT WEEKLY CREDIT WEEKLY CREDIT WEEKLY CREDIT TITLE HOURS CONTACT HOURS CONTACT HOURS CONTACT HOURS HOURS HOURS HOURS MTH 125 CALCULUS I 4 4 0 0 0 0 4

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.

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.

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.

CODE - 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.

CODE - 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.

CODE - 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.

CODE - B PREREQUISITE: MTH 092 or MTH 098 or appropriate mathematics placement score.

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.

CODE - 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.

CODE - 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.

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.

PREREQUISITE: As required by program.

CODE - 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.

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.

CODE - C PREREQUISITE: MTH 100 or MTH 117.

New Course Addition 4-15-02

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 an open lab/Web-based methods using Plato, WINN or other programs aligned with Work Keys.

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.

CODE - C PREREQUISITE: MTH 100.

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

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.

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.

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.

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.

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.

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.

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.

CODE - C COREQUISITE: Registration in MTH 112 Pre-calculus Algebra.

Course Added 4-17-02

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.

CODE - C COREREQUISITE: Registration in MTH 113 Pre-Calculus Trigonometry.

Course Added 4-17-02

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.

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

Course Added 4-17-02

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.

CODE - C COREQUISITE: Registration in MTH 125 Calculus I.

Course Added 4-17-02

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.

CRS. "THEORY" "EXPERIMENTAL" "MANIPULATIVE" COURSE DPT. PRE NUM COURSE TITLE CREDIT WEEKLY CREDIT WEEKLY CREDIT WEEKLY CREDIT HOURS CONTACT HOURS CONTACT HOURS CONTACT HOURS HOURS HOURS HOURS MTH 196 CALCULUS II 0 0 1 2 0 0 1 LABORATORY

CODE - C COREQUISITE: Registration in MTH 125 Calculus II.

Course Added 4-17-02

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.

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.

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.

CODE - C COREREQUISITE: Registration in MTH 227 Calculus III.

Course Added 4-17-02

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.

CODE - C PREREQUISITE: Satisfactory placement score.

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. NCA

CODE - C PREREQUISITE: MTH 101 and/or as required by program.

This course introduces the concepts of right triangle trigonometry and geometry with emphasis on applications to problem solving in the workplace. Topics includes the basic definitions and properties of plane and solid geometry, area and volume, and right triangle trigonometry with substantial hands-on-focus in shop, laboratory, or marketplace settings. Upon completion, students should be able to solve applied problems both independently and collaboratively using technology where appropriate. NCA

CODE - C PREREQUISITE: Satisfactory placement score.

This course is a comprehensive review of arithmetic with basic algebra and introduces calculations of solutions and systems of measurement to meet practical nursing program requirement. Topics include a review of basic arithmetic, metric system conversions, ration and proportion, and conversions among and between the metric, apothecaries, and household unit systems and intravenous infusion rates as well as ethical, cultural, and legal aspects of accurate mathematic skills. Upon completion, students will demonstrate proficiency in calculating drug dosages and IV infusion rates for adults and children. NCD