Calculus Syllabus
Text: Calculus and Its Applications, 6th edition by Goldstein, Lay and Schneider. Prentice-Hall 1993.
Video Instructor: John J. Jaroma
1. Section 1.4 Limits and the Derivative.
2. Section 1.4 continued. Homework.
Section 1.3 The Derivative. Homework.
3. Section 1.5 Differentiability and Continuity. Homework.
4. Section 1.6 Some Rules for Differentiation. Homework.
5. Section 1.7 More About Derivatives. Homework.
6. Section 1.8 The Derivative as a Rate of Change.
7. Section 2.1 Describing Graphs of Functions.
Section 2.2 The First and Second Derivative Rules.
8. Section 2.1 continued.
Section 2.2 continued.
9. Section 2.1 continued.
Section 2.2 continued. Homework.
Section 2.3 Curve Sketching introduction.
10. Section 2.3 continued.
Section 2.4 Curve Sketching conclusion. Homework.
11. Section 2.4 continued. Homework.
Section 2.5 Optimization Problems. Homework.
12. Section 3.1 The Product and Quotient Rules. Homework.
Section 3.2 The Chain Rule and the General Power Rule.
13. Section 3.2 continued.
14. Section 3.3 Implicit Differentiation and Related Rules.
15. Section 3.3 continued. Homework.
Section 4.1 Exponential Functions. Homework.
15.cont. Section 4.2 The Exponential Function ex. Homework.
Section 4.3 Differentiation of Exponential Functions.
16. Section 4.3 continued. Homework.
Section 4.4 The Natural Logarithm Function. Homework.
Section 4.5 The Derivative of In x. Homework.
17. Section 4.6 Properties of the Natural Logarithm Function. Homework.
Section 5.1 Exponential Growth and Decay
18. Section 5.1 continued. Homework.
Section 5.2 Compound Interest.
19. Section 5.2 continued. Homework.
Section 6.1 Antidifferentiation.
20. Section 6.1 continued.
21. Section 6.1 continued. Homework.
Section 6.2 Areas and Riemann Sums. Homework.
22. Section 6.3 Definite Integrals and the Fundamental Theorem.
23. Section 6.3 continued. Homework.
Section 6.4 Areas in the xy-Plane.
24. Section 6.4 continued. Homework.
25. Section 6.5 Applications of the Definite Integral.
26. Section 6.5 continued. Homework.
Section 8.3 Differentiation of sin t and cos t. Homework.
27. Section 8.4 The Tangent and Other Trigonometric Functions.
28. Section 8.4 continued. Homework.
Section 9.1 Integration by Substitution. Homework.
29. Section 9.2 Integrations by Parts. Homework.
30. Section 9.3 Evaluation of Definite Integrals. Homework.
31. Section 9.6 Improper Integrals. Homework.
32. Section 9.7 Integral Tables. Homework.