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.