| Week |
Sections |
Additional Information |
| 1 |
5 Vectors |
Omit 5.6 and 5.8 (and other 3-dimensional things.) Review Sections 1 and 2 |
| 2 |
6 Limits |
Omit 6.2 (epsilon and delta proofs.) |
| 3 |
7 Comtinuity 8 Derivatives |
|
| 4 |
9 Derivative formulas 10 Derivative notations 14.2 Velocity 19 Trigonometric derivatives |
Review section 4 if needed |
| 5 |
12 The Chain Rule |
Exam 1: Thrusday, October 3 |
| 6 |
13.1 Implicit differentiation 14 Higher derivatives 15 Vector-valued function and tangent vectors to curves |
|
| 7 |
13.2 Related rates 13.3 Differentials and linear approximations 24 Newton's Method |
|
| 8 |
16 Exponential functions 17 Inverse functions 18 Logarithmic functions |
|
| 9 |
20 Applications to economics 21 Radioactive decay 22 Applications to other sciences |
Exam 2: Tuesday, October 29 |
| 10 |
25 Inverse trigonometric functions 26 L'Hopitals's rule 7.5 Extreme Value theorem 11 Mean Value theorem |
|
| 11 |
27 Introduction to curve sketching 28 Concavity 29 Asymptotes 30 Optimization |
|
| 12 |
32 Antiderivatives 33 The definite Integral |
|
| 13 |
34 The fundamental theorem of calculus |
|
| 14 |
35 Integration by substitution |
Exam 3: Tuesday, December 3 |
| 15 |
Review for the final |