1. Review of
Differentiation
2. Indefinite
Integrals
3. Definite
Integrals. Left,
Right and Middle Sum
4. The Fundamental Theorem of
Calculus
5. Substitution
6. Areas
between Curves
7. Volumes
(cross-sections)
8. Volumes (shells)
9. Work.
Average Value of a Function
10. Exponential
Functions and their
Derivatives
and Integrals
11. Logarithmic
Functions and their
Derivatives
and Integrals
12. Trigonometric,
Inverse Trigonometric Functions and their Derivatives
and Integrals
(Exam 1)
13. L'Hopital's
Rule
14. Integration by Parts
15. Trigonometric Integrals
16. Partial Fractions
17. Improper
Integrals
18.
Approximate Integration: Trapezoidal and Simpson's Sum
19. Arc
Length
20. Area
of a Surface of Revolution
21. Applications
of Integration
(Exam 2)