WEEK |
DATES |
TESTS |
SECTIONS |
TOPICS |
~ |
Sep. 4 |
~ |
1.1-1.3 |
Course Introduction. Functions. |
1 |
Sep. 8-12 |
~ |
notes, 3.7-3.8 |
Trigonometric Functions and Identities. Inverse Functions and Inverse Trigonometric Functions. |
2 |
Sep. 15-19 |
~ |
2.1-2.5 |
Limits and Continuity. |
3 |
Sep. 22-26 |
~ |
3.1-3.3 |
Derivatives. Rules of Differentiation. The Chain Rule. |
4 |
Sep 29 - Oct. 3 |
~ |
3.4-3.5, 3.9 |
Implicit Differentiation. Derivatives of Trigonometric Functions. Derivatives of Inverse Trigonometric Functions. |
5 |
Oct. 6-10 |
~ |
3.9, 3.12, 5.3 |
Derivatives of Inverse Trigonometric Functions (cont.). L'Hospital Rule. Maximum and Minimum Values. |
6 |
Oct. 13-17 |
~ |
5.3 |
Curve Sketching. |
7 |
Oct. 20-24 |
Test |
6.1-6.2, 6.4 |
Antiderivatives and Indefinite Integrals. Definite Integrals, Area Under a Curve, Fundamental Theorem of Calculus. |
8 |
Oct. 27-31 |
~ |
7.1-7.3 |
Integration Methods: Substitution, by Parts, Trigonometric Functions. |
9 |
Nov. 3-7 |
~ |
7.4-7.5 |
Integration by Partial Fractions. Products of Trigonometric Functions. |
10 |
Nov. 10-14 |
~ |
7.6-7.7 |
Trigonometric Substitution. Numerical Integration. |
11 |
Nov. 17-21 |
~ |
8.2 |
Areas Between two Curves, |
12 |
Nov. 24-28 |
~ |
8.3 |
The Volume of a solid of revolution.
Revision of the Course. |