| Lectures | Readings | Brief Description |
|---|---|---|
| 1/5 | 1.1, 1.2 |
Four ways to represent a function; Mathematical models |
| 1/7 |
1.3, 1.4 |
New Functions from old; The tangent and velocity problems |
| 1/9 | 1.5 |
The limit of a function |
| 1/12 | 1.6, 1.7 |
Calculating limits using
the limit laws; The precise definition of a limit |
| 1/14 |
1.8 |
Continuity |
| 1/16 | 2.1, 2.2 | Derivatives and rates of change; The derivative as a function |
| 1/19 |
2.3, 2.4 | Martin Luther Long Day: Classes moved to x-periods Differentiation formulas; Derivatives of trigonometric functions |
| 1/21 | 2.5 | The chain rule |
| 1/23 |
2.6 | Implicit differentiation |
| 1/26 | 2.7, 2.8, 2.9 |
Rates of change; Related rates; Linear approximation |
| 1/28 | 3.1, 3.2 | Maximum and minimum values; The mean value theorem |
| 1/29 | EXAM | First midterm exam. |
| 1/30 | 3.3, 3.4 |
How derivatives affect the shape of a graph; Limits at
infinity |
| 2/2 |
3.5 | Summary of curve sketching |
| 2/4 |
3.6, 3.7 | Graphing; Optimization problems |
| 2/6 | 3.9 | Carnival holiday: Classes moved to x-periods Antiderivatives |
| 2/9 | 4.1 |
Areas and distances |
| 2/11 | 4.2, 4.3 |
The fundamental theorem of calculus; The definite integral |
| 2/13 |
4.4 | Indefinite integrals |
| 2/16 | 4.5 | The substitution rule |
| 2/18 | 5.1 | Areas between curves |
| 2/19 | EXAM | Second midterm exam |
| 2/20 | 5.4 |
Work |
| 2/23 | 5.5 |
Average value of a function |
| 2/25 |
6.1 |
Inverse functions |
| 2/27 | 6.2 |
Exponential functions and their derivatives |
| 3/2 |
6.3 |
Logarithmic functions |
| 3/4 | 6.4 |
Derivatives of logarithmic functions |
| 3/6 | 6.5, 6.6 |
Exponential growth and decay; Inverse trigonometric functions |
| 3/9 | 6.8 |
Indeterminate forms and l'Hopital's rule |
| 3/16 | EXAM | Final exam (3pm-6pm) |