Math - Calculus II (Science)
Exercises by Annette Clark (typed by Gennaro Rispoli)
Forward
These exercises were given by Annette Clark." They are excellent problems in preparation for examinations. Using these problems will improve the performance of the students.
Some problems are in reference to the textbook: Calculus by Stewart (4th or 5th edition)
The files are available in portable document format (pdf). If you have the Adobe Acrobat Reader, you can use it to view and print files in portable document format. The latest version of the Acrobat Reader is available for free here.
Gennaro Rispoli
Contents
3. Algebraic Integrals; Long Division; Trigonometric Integrals
6. Algebraic Substitution, Trigonometric Substitution, Partial Fractions
8. Area of Region between 2 graphs
11. Area and Volume
14. Sequences
15. Series (partial sums, geometric series, telescopic series, repeated decimals)
16. Test of Convergence: Direct Comparison Test (DCT); Limit Comparison Test (LCT)
17. Test of Convergence: Ratio Test (RatioT); Root Test (RootT); Absolute and Conditional Convergence
18. Series: Test of Convergence
19. Series: Test of Convergence (Review)
20. Series: Test of Convergence (Summary)
21. Power Series
22. Power Series: Center, Radius, Interval of Convergence
23. Taylor and Maclaurin Series
24. Differential Equations: Separation of Variables
25. Review 1: Algebraic, exponential, logarithmic and trigonometric functions
26. Review 2: Inverse Trigonometric on Derivatives and Integrals; various integrals
27. Review 3: Various Techniques of Integration
28. Review 4: Various Techniques of Integration
29. Review 5: Various Techniques of Integration
30. Review 6: Areas and Volumes
31: Review 7: Improper Integrals
32. Review 8: Various Integrals; Limits; Improper Integrals; Convergence of Sequences and Series