MATH 3B - COURSE OUTLINE

Course Title:  MATH 3B – Calculus 3B Number of Units:   4 Total Hours per Semester/Term:   72 Prerequisite:   MATH 3A with a “C” or better or equivalent skill level Advisory:   ENGL 190

Course Contents:

1.      Continuation of Differentiation and Integral Calculus 2.      Methods of Integration 3.      Indeterminate Forms and Improper Integrals 4.      Infinite Series a.   Convergence and divergence          b.   Taylor series 5.      Applications of Integrals

CATALOG DESCRIPTION: This course continues and extends the discussion of differentiations and integration begun in MATH 3A.  Students will be introduced to properties of finite and infinite series. The equivalent of this course in content and objectives may also be offered on the Internet.   COURSE OBJECTIVES: The student should have the following mathematical abilities upon completion of this course:  1.            Compare Riemann sums and Riemann integrals. 2.            Find antiderivatives. 3.            Differentiate and integrate functions and their inverses.  4.            Integrate functions using advanced techniques.  5.            Evaluate additional indeterminate forms and improper integrals.  6.            Determine convergence and divergence of infinite series. 7.            Find the Taylor series expansion of a function. 8.            Solve problems involving all of the above.