Austin Community College

FY 2002 Course Descriptions

Mathematics


MATH 0153 COLLEGE ALGEBRA LAB (1-0-2). Designed for students currently registered in College Algebra, MATH 1314. Individualized and group setting provides additional practice and explanation. This course is not for college-level credit. Repeatable up to two credit hours. (MTH 0211)

MATH 0155 TRIGONOMETRY LAB (1-0-2). Designed for students currently registered in Trigonometry, MATH 1316. Individualized and group setting provides additional practice and explanation. This course is not for college-level credit. Repeatable up to two credit hours. (MTH 0211)

MATH 0161 MATH FOR BUS & ECO LAB (1-0-2). Designed for students currently registered in Math for Business and Economics, MATH 1324. Individualized and group setting provides additional practice and explanation. This course is not for college-level credit. Repeatable up to two credit hours. (MTH 0231)

MATH 0163 BUSINESS CALCULUS AND APPLICATIONS LAB I (1-0-2). Designed for students currently registered in Business Calculus and Applications I, MATH 1425. Individualized and group setting provides additional practice and explanation. This course is not for college-level credit. Repeatable up to two credit hours. (MTH 0241)

MATH 0165 BUSINESS CALCULUS AND APPLICATIONS II LAB (1-0-2). Designed for students currently registered in Business Calculus and Applications II, MATH 1426. Individualized and group setting provides additional practice and explanation. This course is not for college-level credit. Repeatable up to two credit hours. (MTH 0241)

MATH 0185 PRE-CALCULUS LAB (1-0-2). Designed for students currently registered in Pre-calculus, MATH 2412. Individualized and group setting provides additional practice and explanation. This course is not for college-level credit. Repeatable up to two credit hours. (MTH 0211)

MATH 0187 CALCULUS I LAB (1-0-2). Designed for students currently registered in Calculus I, MATH 2413. Individualized and group setting provides additional practice and explanation. This course is not for college-level credit. Repeatable up to two credit hours. (MTH 0221)

MATH 0189 CALCULUS II LAB (1-0-2). Designed for students currently registered in Calculus II, MATH 2414. Individualized and group setting provides additional practice and explanation. This course is not for college-level credit. Repeatable up to two credit hours. (MTH 0221)

MATH 0193 CALCULUS III LAB (1-0-2). Designed for students currently registered in Calculus III, MATH 2415. Individualized and group setting provides additional practice and explanation. This course is not for college-level credit. Repeatable up to two credit hours. (MTH 0221)

MATH 0197 DIFFERENTIAL EQUATIONS LAB (1-0-2). Designed for students currently registered in Differential Equations, MATH 2420. Individualized and group setting provides additional practice and explanation. This course is not for college-level credit. Repeatable up to two credit hours. (MTH 0251)

MATH 0199 CALCULUS IV LAB (1-0-2). Designed for students currently registered in Calculus IV, MTH 2254. Individualized and group setting provides additional practice and explanation. This course is not for college-level credit. Repeatable up to two credit hours. (MTH 0221)

MATH 1314 COLLEGE ALGEBRA (3-3-0). A course designed for students majoring in business, mathematics, science, engineering, or certain engineering-related technical fields. Content includes the rational, real, and complex number systems; the study of functions including polynomial, rational, exponential, and logarithmic functions and related equations; inequalities; and systems of linear equations and determinants. Prerequisites: MATD 0390 or satisfactory score on the ACC Assessment Test. (MTH 1743)

MATH 1316 TRIGONOMETRY (3-3-0). A course designed for students majoring in mathematics, science, engineering, or certain engineering-related technical fields. Content includes the study of trigonometric functions and their applications, trigonometric identities and equations, vectors, and the complex number system. Prerequisites: One semester of high school precalculus or trigonometry or MATH 1314 or its equivalent or recent completion of ACC's MATD 0390 with a B or better or satisfactory score on the ACC Assessment Test. Prior to the 1977-78 catalog, trigonometry was numbered MTH 1643. Credit can be earned for either MATH 1316 or the older trigonometry course, but not both. (MTH 1753)

MATH 1324 MATHEMATICS FOR BUSINESS AND ECONOMICS (3-3-0). A course in finite mathematics for business students including sets, basic algebraic properties, linear equations and inequalities, functions and graphs, the exponential and logarithmic functions, the mathematics of finance, systems of linear equations and matrices, linear inequalities and linear programming, the simplex method, and an introduction to probability. Prerequisites: MATD 0390 or satisfactory score on the ACC Assessment Test. Credit can be earned for only one of MATH 1324 or BUA 2103. (MTH 1643)

MATH 1332 TOPICS IN MATHEMATICS (3-3-0). A course designed for non-mathematics and non-science majors. Topics may include, but are not limited to, sets, logic, number theory, geometric concepts, and an introduction to probability and statistics. Prerequisites: Two years of high school algebra or the equivalent or a satisfactory score on the appropriate placement test. (MTH 1513)

MATH 1333 MATHEMATICS FOR MEASUREMENT (3-3-0). A course designed for non-mathematics and non-science majors. Topics include logic, variation, functions, equivalence, congruence, right triangle geometry, and other measurement topics. Prerequisites: A passing score on the mathematics portion of the TASP test or a satisfactory score on the assessment test or MATD 0360. (MTH 1573)

MATH 1335 MODERN MATHEMATICS I (3-3-0). A course designed for elementary education majors and liberal arts majors emphasizing sets, number systems, and their associated operations. Topics include sets and relations, the systematic analysis of the natural numbers, integers, rational numbers, and real numbers, as well as algorithms for addition, subtraction, multiplication, and division. Effective September 2001, this course will be replaced by MATH 1350. (MTH 1523)

MATH 1336 MODERN MATHEMATICS II (3-3-0). A second course designed for elementary education majors and liberal arts majors emphasizing areas of elementary school mathematics not included in MATH 1335. Topics include probability and statistics, geometry, measurement, and coordinate geometry. Effective September 2001, this course will be replaced by MATH 1351. (MTH 1533)

MATH 1342 ELEMENTARY STATISTICS (3-3-0). A first course in statistics for students in business; nursing; allied health; or the social, physical, or behavioral sciences; or for any student requiring knowledge of the fundamental procedures for data organization and analysis. Topics include frequency distributions, graphing, measures of location and variation, the binomial and normal distributions, z-scores, t-test, chi-square test, F-test, hypothesis testing, analysis of variance, regression, and correlation. Prerequisites: Two years of high school algebra or the equivalent or a satisfactory score on the appropriate placement test. (MTH 1563)

MATH 1350 MATHEMATICS FOR MIDDLE GRADE TEACHER CERTIFICATION 1 (3-3-0). Concepts of sets, functions, numeration systems, number theory and properties of the natural numbers, integers, rational and real number systems with and emphasis on problem solving and critical thinking. This course is designed specifically for students who seek middle grades (4-8) teacher certification. Prerequisites: College Algebra or the equivalent. ( )

MATH 1351 MATHEMATICS FOR MIDDLE GRADE TEACHER CERTIFICATION II (3-3-0). Concepts of geometry, probability, and statistics, as well as applications of the algebraic properties of real number to concepts of measurement with an emphasis on problem solving and critical thinking. This course is designed specifically for students who seek middle grade (4-8) teacher certification. Prerequisites: MATH 1350. ( )

MATH 1425 BUSINESS CALCULUS AND APPLICATIONS I (4-4-0). A course treating standard one-variable calculus and its applications for business students, as well as selected other business applications. Calculus topics include the derivative, methods of finding derivatives, applications of derivatives, the integral, methods of integration, applications of integration, and the calculus of the exponential and logarithmic functions. Prerequisites: One semester of high school elementary analysis or the equivalent with a grade of B or better or MATH 1324 or 1314 or the equivalent. MATH 1314 is the recommended preparation for students who will also take MATH 1426. (MTH 1674)

MATH 1426 BUSINESS CALCULUS AND APPLICATIONS II (4-4-0). A course treating multivariable calculus and its applications for business students, as well as selected other business applications. Topics include functions of several variables and their derivatives, partial differentiation, optimization problems and LaGrange multipliers, special methods of integration, differential equations, probability and calculus, Taylor polynomials and infinite series, and topics in matrix theory and linear programming. Prerequisites: MATH 1425 or MATH 2413 or the equivalent. (MTH 1684)

MATH 2318 LINEAR ALGEBRA AND MATRIX THEORY (3-3-0). A study of linear equations, linear transformations, matrices, determinants, finite-dimensional vector spaces, and quadratic forms. Prerequisites: MATH 2415 or its equivalent. (MTH 2053)

MATH 2412 PRECALCULUS: FUNCTIONS AND GRAPHS (4-4-0). This is a course designed to prepare students for MATH 2413 Calculus I. Content includes algebraic, logarithmic, exponential, and trigonometric functions and equations; parametric equations; and the polar coordinate system. Prerequisites: High school precalculus (including trigonometry) or one semester high school trigonometry or MATH 1316 or the equivalent. (MTH 1764)

MATH 2413 CALCULUS I (4-4-0). A standard first course in calculus. Topics include inequalities; functions; limits; continuity; the derivative; differentiation of algebraic functions and trigonometric functions; Newton's method; applications of the derivative; the integral; integration of algebraic functions and the sine and cosine functions; numerical integration; and applications of the integral. Prerequisites: MATH 2412 or the equivalent or one year of high school precalculus (including trigonometry) with a grade of B or better. (MTH 1854)

MATH 2414 CALCULUS II (4-4-0). A standard second course in calculus. Topics include differentiation and integration of transcendental functions; techniques of integration; integrals with infinite limits of integration; integrals of discontinuous integrands; infinite series; and analytical geometry with calculus applications. Prerequisites: MATH 2413 or the equivalent. (MTH 1864)

MATH 2415 CALCULUS III (4-4-0). A standard third course in calculus. Topics include polar coordinates and polar curves; vectors and analytical geometry in three dimensions; vector-valued functions and curvature; components of acceleration; functions of several variables; limits and continuity in three-space; partial and directional derivatives; gradients, tangent planes, and extreme of functions of two variables; multiple integrals in rectangular, polar, spherical, and cylindrical coordinates; applications of multiple integrals to area, volume, moments, centroids, and surface area. Prerequisites: MATH 2414 or its equivalent. (MTH 2154)

MATH 2420 DIFFERENTIAL EQUATIONS (4-4-0). A course in the standard types and solutions of linear and nonlinear ordinary differential equations, include Laplace transform techniques. Series methods (power or Fourier) will be applied to ordinary and partial linear differential equations. Systems of linear differential equations will be studied. Prerequisites: MATH 2414 or its equivalent. (MTH 2164)

MTH 2254 CALCULUS IV (4-4-0). This course develops the calculus of real- and vector-valued functions of one and several variables. Topics include matrix algebra and linear maps; vector-valued functions and their analysis; the geometry of Euclidean n-space; functions of several variables and their differentiation; gradients and directional derivatives; partial derivative; arc length; vector fields, divergence, and curl; Taylor's theorem for several variables; extreme of real-valued functions in n-space; LaGrange multipliers; multiple integrals and the chain rule; improper integrals; line integrals; area of surface; surface integrals; Green's Theorem; Gauss' Theorem; Stokes' Theorem; conservative fields. Prerequisites: MATH 2415 or its equivalent.


Course Descriptions as of September 24, 2001 11:27am
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