| 1 |
9/2–9/5 |
1.1 |
Functions and their Representations |
| 1.2 |
A catalog of essential functions |
| 2 |
9/8–9/12 |
1.3 |
The limit of a function |
| 1.4 |
Calculating Limits |
| 3 |
9/15–9/19 |
1.5 |
Continuity |
| 1.6 |
Limits involving Infinity |
| 4 |
9/22–9/26 |
2.1 |
Derivatives and rates of change |
| 2.2 |
The derivative as a function |
| 2.3 |
Basic differentiation rules |
| 5 |
9/29–10/3 |
2.4 |
The product and quotient rules |
| 2.5 |
The chain rule |
| 2.6 |
Implicit differentiation |
| 6 |
10/6–10/10 |
2.8 |
Linear approximations and differentials |
| 3.1 |
Exponential functions |
| 3.2 |
Inverse functions and logarithms |
| 7 |
10/15–10/17 |
Midterm |
| 8 |
10/20–10/24 |
3.3 |
Derivatives of Logarithmic and Exponential
Functions |
| 3.4 |
Exponential growth and decay |
| 3.5 |
Inverse trigonometric functions |
| 9 |
10/27–10/31 |
3.7 |
Indeterminate forms and L'Hôpital's Rule |
| 4.1 |
Maximum and minimum values |
| 10 |
11/3–11/7 |
4.2 |
The Mean Value Theorem |
| 4.3 |
Derivatives and the shapes of curves |
| 4.4 |
Curve sketching |
| 11 |
11/10–11/14 |
4.5 |
Optimization problems |
| 4.6 |
Newton's Method |
| 4.7 |
Antiderivatives |
| 12 |
11/17–11/21 |
5.1 |
Areas and distances |
| 5.2 |
The definite integral |
| 5.3 |
Evaluating definite integrals |
| 13 |
11/24–11/26 |
5.4 |
The Fundamental Theorem of Calculus |
| 14 |
12/1–12/5 |
5.5 |
The Substitution Rule |
| 6.1 |
Integration by Parts |
| 15 |
12/8–12/12 |
6.5 |
Approximate Integration |