| 1 |
September
03-07 |
1.1 |
Functions and their Representations |
| 1.2 |
A catalog of essential functions |
| 2 |
September
19-14
|
1.3 |
The limit of a function |
| 1.4 |
Calculating Limits |
| 3 |
September
16-21
|
1.5 |
Continuity |
| 1.6 |
Limits involving infinity |
| 4 |
September
23-28 |
2.1 |
Derivatives and rates of change |
| 2.2 |
The derivative as a function |
|
Quiz on limits (in recitation) |
| 5 |
October
01-05
|
2.3 |
Basic differentiation formulas
|
2.4,5
|
The product, quotient, and chain rules |
6
|
October
08-12
|
2.6 |
Implicit differentiation
|
|
Midterm review (on Monday) |
|
Midterm I (on Wednesday) |
| 7 |
October
15-19
|
|
Fall break (no lecture on Monday) |
| 2.7 |
Related rates |
| 2.8 |
Linear approximations and differentials |
| 8 |
October
22-26
|
3.1 |
Exponential functions |
| 3.2 |
Inverse functions and logarithms |
| 3.3 |
Derivatives of Logarithmic and Exponential Functions |
| 9 |
October
29-31
|
|
Superstorm Sandy!
(all NYU classes cancelled!) |
|
Superstorm Sandy!
(all NYU classes cancelled!) |
| 10 |
November
05-09
|
3.5
|
Inverse trigonometric functions |
3.7 |
Indterminate forms and L'Hopital's Rule |
| 11 |
November
12-16
|
4.1,5 |
Maximum and Minimum Values/Optimization Problems |
| 4.3,4 |
Derivatives and sketching curves |
|
Midterm review (on Wednesday) |
| 12 |
November
19-23
|
|
Midterm II (on Monday)
|
4.7
|
Antiderivatives |
13
|
November
26-30
|
5.1,2 |
Areas, distances, and the definite integral |
5.3
|
Evaluating definite integrals |
| 14 |
December
03-07
|
5.4 |
The Fundamental Theorem of Calculus |
| 5.5 |
The Substitution Rule |
15
|
December
09-14
|
|
Catch up
and Review (time permiting) |
|
December
17
|
|
Final Exam!
|