Page 152 of Antelope Valley College 1995-1996 Catalog by Antelope Valley Community College Lancaster California

150 Mathematics MATH 7A CALCULUS AND ANALYTIC GEOMETRY 5 units 5 hours weekly Prerequisite: Completion of MATH 5 or MATH 6 and MATH D or Eligibility for MATH 7A. Advisory: Eligibility for College Level Reading. A course in differentiation and integration of algebraic, trigonometric, exponential, and logarithmic functions. Applications include extrema, graphing, related rates, area. (CSU, UC, AVC) MATH 7B CALCULUS AND ANALYTIC GEOMETRY 5 units 5 hours weekly Prerequisite: Completion of MATH 7A. Advisory: Eligibility for College Level Reading. A continuation of MATH 7A. Includes applications of integration, integration techniques, indeterminate forms and improper integrals, infinite series, polar coordinates, and analytic geometry. (CSU, UC, AVC) MATH 7C CALCULUS AND ANALYTIC GEOMETRY 5 units 5 hours weekly Prerequisite: Completion of MATH 7B. Advisory: Eligibility for College Level Reading. Continuation of MATH 7B. Includes vector theory (in 2 space and 3 space), vector functions, partial differentiation, multiple integrals, topics in vector calculus, line and surface integrals, Greens Theorem, Stokes Theorem. (CSU, UC, AVC) MATH 7L CALCULUS LAB 1 unit 3 hours weekly Concepts of calculus are reinforced by studying a series of BASIC programs on file on the IBM personal computers. Assignments are guided by the questions: how does the computer add to the techniques of calculus? How does calculus improve the way we calculate with a computer? Students run the programs, interpret them mathematically, criticize their effectiveness as algorithms, and make small modifications to them. (CSU, UC, AVC) MATH 10 LINEAR ALGEBRA 3 units 3 hours weekly Prerequisite: Completion of MATH 5. Advisory: Eligibility for MATH 7A and College Level Reading. 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, eigen- vectors and canonical forms. If time allows, special topics in linear programming, 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. Application 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, solving 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 Prerequisite: Completion of MATH 7B. Advisory: Completion of MATH 7C and MATH 10 and, Eligibility for College Level Reading. 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. Some theory on difference equations may be included from time to time as it parallels the development of the differential equations. Applications of both differential equations and difference 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 Prerequisite: Completion of MATH C. Advisory: Eligibility for College Level Reading. 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)

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