Revised 10/04/01. Homework and examination solutions will become available after the assignment due date.
| Week |
Topics |
Assignments |
|---|---|---|
|
|
Introduction Sec. 1.1: Four ways to represent a function Sec. 1.2: Mathematical models Sec. 1.3: New functions from old functions |
Problem Set 1 |
|
September 3: Labor Day (no classes)
|
||
| Sept 3-7 |
Sec. 1.5: Exponential functions Sec. 1.6: Inverse functions and logarithms |
Problem Set 2 due Sept 10 or 11 Solutions |
|
Early Midterm Exam: Monday, September 10, 8:30 - 10:00 pm |
||
| Sept 10-14 |
Sec. 2.1: The tangent and velocity problems Sec. 2.2: The limit of a function App. D: Precise definitions of limits |
Problem Set 3 due Sept 20 or 21 Solutions |
|
Monday evening, 9/17 to Wednesday, 9/19: Rosh
Hashana (no classes)
|
||
| Sept 17-21 |
Sec. 2.3: Calculating limits using the limit laws |
|
|
Midterm Examination I: Tuesday, September 25,
8:30-10:00 pm |
||
|
Wednesday evening, 9/26 to Thursday, 9/27: Yom
Kippur (no classes)
|
||
|
Sept 24-28
|
Review Sec. 2.4: Continuity |
Problem Set
4 due Oct 1 or 2 Solutions |
| Oct 1-5 |
Sec. 2.5: Limits involving infinity Sec. 2.6: Tangents, velocities, and other rates of change |
Problem Set 5 due Oct 8 or 9 Solutions |
| Oct 8-12 |
Sec. 2.7: Derivatives Sec. 2.8: The derivative as a function |
Problem Set 6 due Oct 15 or 16 |
| Oct 15-19 |
Sec. 2.10: What does f' say about f? Sec. 3.1: Derivatives of polynomials and exponentials Sec. 3.2: The product and quotient rules |
Problem Set 7 due Oct 22 or 23 |
| Oct 22-26 |
Sec. 3.4: Derivatives of trigonometric functions Sec. 3.5: The chain rule |
Problem Set 8 due Oct 29 or 30 Solutions |
| Oct 29 -Nov 2 |
Sec. 3.6: Implicit differentiation Sec. 3.7: Derivatives of logarithmic functions |
Problem Set 9 due Nov 5 or 6 Solutions |
| Nov 5-9 |
Sec. 3.8: Linear approximation and differentials Review Sec. 4.1: Related rates |
Problem Set 10 due Nov 12 or 13 |
|
Midterm Examination II: Wednesday, November 7,
8:30 -10:00 pm |
||
| Nov 12-16 |
Sec. 4.2: Maximum and Minimum values Sec. 4.3: Derivatives and the shapes of curves Sec. 4.5: Indeterminate forms and L'Hospital's rule |
Problem Set 11 due Nov 26 or 27 Solutions, graphs |
|
Nov. 19-23 Thanksgiving Break
|
||
| Nov 26-30 |
Sec. 4.6: Optimization problems Sec. 4.9: Antiderivatives Sec. 5.1: Areas and distances |
Problem Set 12 due Dec 3 or 4 |
| Dec 3-7 |
Sec. 5.2: The definite integral Sec. 5.3: Evaluating definite integrals |
Problem Set 13 due Dec 10 or 11 |
| Dec 10-13 |
Sec. 5.4: The Fundamental Theorem of Calculus Review |
Review |
| Thursday, Dec 13: last class day | ||
|
Final Examination: Thursday, December 20, 2:00-4:30 pm |
||
