MAC 3473 Honors Calculus II (REVIEW FOR FINAL)
FINAL EXAM, Monday, December 11, 3:00-5:00pm.
LIT 235
- Know the statement of definitions and main theorems.
- Important Topics:
- Inverse Functions
- L'Hopital's Rule
- Techniques of integration
- Integration by parts
- Trig integrals
- Inverse trig functions and trig substitution
- Partial Fractions
- The Trapezoidal Rule and Simpson's Rule
- Improper Integrals
- Computing volumes using the cross-sectional method, disk method, washer method and shell method.
- Taylor polynomials
- Convergence of sequences
- Convergence of series
- Geometric series
- p-series
- Integral test
- The comparison and limit comparison tests
- The Ratio Test and The Root Test
- Alternating Series and Leibniz' Test
- Absolute convergence (and the generalized tests)
- Review Problems:
- 5,7,27,29,41,43,57 pp 369-371
- 5,13,23,35,37,39,43 p.399
- 3,7,11,15,21,27,41,47 p.409
- 1,3,7,11,13,21 p.438
- 1,3,15,17,41 p.448
- 1,5,9,15,21,25,31,42 p.455
- 1,3,5,15,21 pp 464-465
- 1,3,7,9 p.476
- 1,3,9,11,23,33,43,45 pp 486-487
- 1,5,7,13,21,31,33,41,43 pp.499-501
- 1,3,5,9, 17, 28, 29 pp.506-507
- 1,3,11,15 p.549
- 7,8, 21,23,26,31 p.561
- 1,3,11,17,23,25,29 p.567
- 11,13,17,18,19 p.579
- odds 1-27, p.589
- odds 1-21 p.594
- odds 1-33 p.601
- NOTE: At least 30% of the test will be on convergence of series.
F.G. Garvan/frank@math.ufl.edu/December 6, 1995 (created 12/06/95)
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