Del Mar College
Math 2315
Calculus III
The textbook for 2003-2004 is Calculus, Earl Swokowski (Brooks/Cole, Classic Edition, 1991. The following topics are to be covered in Calculus III.
9.1 Integration by Parts
9.2 Trigonometric Integrals
9.3 Trigonometric Substitutions
9.4 Integrals of Rational Functions
9.5 Integrals Involving Quadratic Expressions
9.6 Miscellaneous Substitutions
10.1 The Indeterminate Forms 0/0 and ¥/¥
10.2 Other Indeterminate Forms
10.3 Integrals with Infinite Limits of Integration's
10.4 Integrals with Discontinuous Integrands
11.1 Sequences
11.2 Convergent or Divergent Series
11.3 Positive-Term Series
11.4 The Ratio and Root Tests
11.5 Alternating Series and Absolute Convergence
11.6 Power Series
11.8 Maclaurin and Taylor Series
11.9
Applications of
11.10 The Binomial Series
14.5 Lines and Planes
14.6 Surfaces
15.1 Vector-Valued Functions and Space Curves
15.2 Limits, Derivatives and Integrals
15.3 Motion
15.4 Curvature
15.5 Tangential and Normal Components of Acceleration
13.1 Tangent Lines and Arc Length
13.2 Polar Coordinates
13.3 Integrals in Polar Coordinates