Calc β
Calculus I
BRIDGE 2018
Schedule
| Week | Sections | Topic | Supplements |
| 1 | 1.1 - 1.6 | A framing of calculus | |
| 2.2, 2.3, 2.5 | Limits and continuity | ||
| 2.4 | The precise definition of a limit | ||
| 2 | 2.2 and 2.6 | Limits and infinity | |
| 2.7 and 2.8 | The derivative of a function | ||
| 3.1 - 3.3 |
Expanding our library of derivatives:
algebraic properties of the derivative |
||
| 3.4 |
Expanding our library of derivatives:
the chain rule and exponential functions |
||
| 3 | 3.5 and 3.6 |
Expanding our library of derivatives:
implicit diff. and inverse functions |
|
| 3.7 |
Applications of the deriviative
in the sciences |
||
| 3.9 and 3.10 |
Applications of the deriviative:
Linear approximation and related rates |
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| Midterm |
7/19: Covers 2.2 - 2.8 and 3.1 - 3.6 Study guide |
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| 4 | 4.1 and 4.3 |
Derivatives and a function's geometry: extreme values and concavity |
|
| 4.7 | Optimization | ||
| 4.4 and 4.9 | Indeterminate forms and antiderivatives | ||
| 5.1 and 5.2 | Areas and the definite integral | ||
| 5 | 5.3 | The fundamental theorem of calculus | |
| 5.5 | The method of substitution | ||
| Final exam |
8/1, 8 - 9:30am, PBB 129: Cumulative Study guide |