| Week | Date | Topic | Notes |
| 1 |
Aug 23 |
Introduction |
|
| Aug 25 | Review: Trig. |
Lecture 1 | |
| Aug 26 | Review: inverse functions |
Lecture 2 | |
| Aug 27 | Review: exponentials and logarithms |
Lecture 3 | |
| 2 |
Aug 30 |
guessing limits | Lecture 4 |
| Sept 1 |
Test (solutions) |
||
| Sept 2 |
guessing limits and asymptotes |
Lecture 5 | |
| Sept 3 |
Limit laws |
Lecture 6 | |
| 3 |
Sept 6 |
Holiday!!! |
|
| Sept 8 |
Finding limits algebraically | Lecture 8 | |
| Sept 9 |
Continuous functions (Part I) |
Lecture 7 | |
| Sept 10 |
Continuous functions(Part II) | Lecture 7.5 | |
| 4 |
Sept 13 |
The IVT |
|
| Sept 15 | The Squeeze theorem and trig. limits | Lecture 9 | |
| Sept 16 |
The Squeeze theorem and trig. limits (continued) |
|
|
| Sept 17 | Test (solutions) |
||
| 5 |
Sept 20 |
The derivative at a point |
Lecture 12 |
| Sept 22 |
The derivative as a function |
Lecture 13 | |
| Sept 23 |
product and quotient rules |
Lecture 14 | |
| Sept 24 |
The chain rule |
Lecture 15 | |
| 6 |
Sept 27 |
More on the chain rule |
15 continued |
| Sept 29 |
Yet more on the chain rule and Higher order derivatives | Lecture 16 | |
| Sept 30 |
Differentiable functions. |
Lecture 17 | |
| Oct 1 |
Review |
||
| 7 |
Oct 4 |
Holiday!!! |
|
| Oct 6 |
Test |
||
| Oct 7 |
Sketching derivatives |
Lecture 18 | |
| Oct 8 |
maximum and minimum values |
Lecture 19 | |
| 8 |
Oct 11 | The second derivative test |
Lecture 20 |
| Oct 13 | concavity and points of infection |
Lecture 21 | |
| Oct 14 | graph sketching |
Lecture 22 | |
| Oct 15 | More graph sketching |
|
|
| 9 |
Oct 18 | MVT and graph sketching |
Lecture 24 |
| Oct 20 |
Review |
||
| Oct 21 |
Test (sols) |
||
| Homework for rates of change and related rates can be found here. Printed notes will resume for integration on Nov. 3rd. |
|||
| Oct 22 |
rates of change |
Lecture 25 | |
| 10 |
Oct 25 |
Motion under gravity |
Lecture 26 |
| Oct 27 |
related rates |
Lecture 27 | |
| Oct 28 |
More related rates |
Lecture 28 | |
| Oct 29 |
Summation notation |
Lecture 29 | |
| 11 |
Nov 1 |
Test (solutions) |
|
| Nov 3 |
The definite integral |
Lecture 30 | |
| Nov 4 |
The definite integral again |
Lecture 31 | |
| Nov 5 |
Fundamental theorem of calculus Pt 1 |
Lecture 32 | |
| 12 |
Nov 8 |
Fundamental theorem of calculus Pt 2 |
Lecture 33 |
| Nov 10 | Applications of the integral |
Lecture 34 | |
| Nov 11 | Optimization |
Lecture 35 | |
| Nov 12 | Optimization |
Lecture 36 | |
| 13 |
Nov 15 | Review |
|
| Nov 17 | Test (solution) |
||
| Nov 18 | l'Hopital's rule |
Lecture 37 | |
| Nov 19 | trig. derivatives and derivs. of inverses |
Lecture 38 | |
| 14 |
Nov 22 |
derivs. of exp and log |
Lecture 40 |
| Nov 24 |
Holiday!!! |
||
| Nov 25 |
Holiday!!! |
||
| Nov 26 |
Holiday!!! |
||
| 15 |
Nov 29 |
implicit differentiation |
Lecture 41 |
| Dec 1 |
Linear approximation |
Lecture 42 | |
| Dec 2 |
Review |
||
| Dec 3 |
Test |
||
| 16 |
Dec 6 |
The definition of a limit |
chalk-talk |
| Dec 8 |
The definition of a limit | Lecture 11 | |
| Dec 9 |
Review |