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MTH
32 Syllabus
- Calculus and Analytic Geometry II (4 credits / 6 hours per week)
Prerequisite:
Math 31 or equivalent
TEXT : Calculus (Fourth Edition) by James Stewart, Brooks/Cole, Pub.
(Students who do not need Math 33 may use single Variable
Calculus (Fourth Edition) by James Stewart, Brooks/Cole, Pub.)
SECTION TOPIC SUGGESTED EXERCISES Chapter Six: Applications of Integration 6.1 Areas between Curves 376/ 1-21 odd, 27 6.2 Volumes 387/ 1-17 odd, 31,33,35 6.3 Volumes by Cylindrical Shells 392/ 1-15 odd Review 401/ 7,9,15,25
Chapter Seven: Inverse Functions 7.1 Inverse Functions 414/ 1-16, 25, 27, 29, 35, 37 7.2 Exponential Functions and Their 425/ 1, 7-13 odd, 23, 29, 37 Derivatives 7.3 Logarithmic Functions 433/ 1-15 odd, 31-37 odd 7.4 Derivatives of Logarithmic Functions 443/ 1-27 odd, 35, 39, 43,65-79 odd 7.5 Inverse Trigonometric Functions 476/ 5-13 odd, 23-35 odd, 59-69 odd 7.6 Hyperbolic Functions 483/ 11, 23, 31, 35, 55, 59, 61 7.7 Indeterminate Forms and L’Hospital’s Rule 493/ 1-4, 5-55 odd, 92 Review 497/ 5, 7, 11-39 odd, 59, 71, 75
Chapter Eight: Techniques of Integration
8.1 Integration by Parts 508/ 1-27 odd, 41-44
8.2 Trigonometric Integrals 516/ 1-27 odd, 63
8.3 Trigonometric Substitution 522/ 1-29 odd, 41
8.4 Integration of Rational Functions 532/ 1-25 odd, 31, 33
by Partial Fractions
8.5 Strategy for Integration 538/ 1-25 odd, 43-49 odd, 67-73 odd
8.8 Improper Integrals 565/ 1, 5-27 odd
Review 568/ 1-23 odd, 43
Chapter Nine: Further Applications of Integrals 9.1 Arc Length 580/ 5-12 odd, 38 9.2 Area of a Surface of Revolution 586/ 5-11 odd, 27
Chapter Eleven: Parametric Equations and Polar Coordinates 11.4 Polar Coordinates 702/ 1-4, 15-19 odd, 33-45 odd 11.5 Areas and Lengths in Polar Coordinates 708/ 17-27 odd 11.6 Conic Sections 714/ 1-17 odd, 11, 13, 15, 19-23 odd, 27, 31, 37 11.7 Conic Sections in Polar Coordinates 720/ 9-15 odd, 29 Review 722/ 25, 29, 31, 43, 47 5/99 S.F.