Page 179 of Antelope Valley College 1998-1999 Catalog by Antelope Valley Community College Lancaster California

Mathematics 177 MATH 7C CALCULUS AND ANALYTIC GEOMETRY 5 units 5 hours weekly Course Prerequisite: Completion of MATH 7B. Advisory: Eligibility for College Level Reading or satisfactory completion of ENGL 1A A continuation of MATH 7B. Includes vector theory, vector functions, partial differentiation, multiple integrals, topics in vector calculus, line and surface integrals, Greens Theorem, Stokes Theorem. (CSU, UC, AVC) MATH 10 LINEAR ALGEBRA 3 units 3 hours weekly MATH Prerequisite: Eligibility for MATH 7A. Advisory: College Level Reading or satisfactory completion of ENGL 1A. This is an introductory course in linear algebra designed for students majoring in the mathematical, biological, physical, engineering, sociological and managerial sciences. Topics to be covered include systems of linear equations, matrices, determinants, vector spaces, linear transformations, eigenvalues, eigenvectors and canonical forms. If time allows, s p e c i a l t o p i c s i n l i n e a r programming, numerical methods, Markov chains and differential equations may be investigated. Material will be presented with careful attention to balancing the abstract theory of linear algebra with the necessary drill in manipulative techniques. Applications and examples from a broad spectrum of disciplines will be included in order to interweave the concrete with the abstract and to make the course content meaningful to students with various backgrounds and needs. (CSU, UC, AVC) MATH 11 FORTRAN FOR ENGINEERS AND SCIENTISTS Same course as ENGR 15. 3 units 4 hours weekly Advisory: Completion of or concurrent enrollment in MATH 7A. A first course for engineers and scientists in programming using the FORTRAN language. The course covers matrices, vectors, coordinate transformations, algorithm development, computer graphics, solution simultaneous equations, and other numerical techniques. Supplies will cost student approximately $12. (CSU, UC, AVC) MATH 12 INTRODUCTION TO ORDINARY DIFFERENTIAL EQUATIONS 3 units 3 hours weekly Course Prerequisite: Completion of MATH 7B. Advisory: Completion of MATH 7C and MATH 10, and Eligibility for College Level Reading or satisfactory completion of ENGL 1A This is an introductory course in solving numerous types of ordinary differential equations. The types of differential equations considered are: exact, separable, homogeneous, Bernoulli, and nth order linear differential equations. Methods of solution to be covered are: the standard methods for each of the types of equations listed above; the Laplace Transform; power series methods; linear algebra methods for systems of equations. Applications of differential equations to physics, chemistry, economics and the social sciences will be studied throughout the course. (CSU, UC, AVC) MATH 14 MATH FOR BUSINESS AND ECONOMICS 5 units 5 hours weekly Course Prerequisite: Completion of MATH C. Advisory: Eligibility for College Level Reading or satisfactory completion of ENGL 1A. Application of mathematics to problems in business and economics, sets, elementary calculus, quadratics, exponential and logarithmic functions, inequalities, matrices, differentiation, integration, and extreme values. (Not open for students majoring in physical sciences or math). (CSU, UC, AVC) MATH 15 STATISTICS 3 units 3 hours weekly Course Prerequisite: Completion of MATH C. Advisory: Eligibility for College Level Reading or satisfactory completion of ENGL 1A. This is an introductory course in statistical procedure. It includes a study of graphs, central tendency, dispersion, normal curve, probability, estimation, hypothesis testing, regression, and correlation. (CSU, UC, AVC) MATH 21 *MATH FOR TEACHERS 3 units 3 hours weekly Course Prerequisite: Completion of MATH C. Advisory: Eligibility for College Level Reading or satisfactory completion of ENGL 1A Sets, systems of numeration, nature of numbers, fundamentals of operations, relations and functions, integers, rational a n d r e a l n u m b e r s , a n d c o m p u t e r applications. This course is an essential prerequisite for elementary school teachers as well as junior high and high school math teachers. Students will do computer exercises in the college Learning Center. (CSU, UC, AVC)

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