1: Jan 11-15 / The Tangent and Velocity Problems
The Limit of a Function
Calculating Limits Using the Limit Laws / Read 2.1 (65)
Read 2.2 (74)
Read 2.3 (84) / 3, 5
1, 2, 3-9 odd, 12, 15-21 odd, 25, 26, 27,
29, 31
1-43 odd, 46-49, 60
2: Jan 18-22
No class on
Mon, Jan 18 / The Precise Definition of a Limit
Continuity / Read 2.4 (95)
Read 2.5 (105) / 1-7 odd, 15, 19, 29 (for 15, 19, 29 use
e = 0.1)
1, 3, 4, 5, 9, 10, 11-43 odd, 47-53 odd
3: Jan 25-29 / Derivatives and Rates of Change
The Derivative as a Function / Read 3.1 (119)
Read 3.2 (131) / 1-11 odd, 12, 13-17 odd, 18, 21-37 odd, 43
3-10, 13, 17-25 odd, 33, 35, 39, 41, 49
4: Feb 1-5 / Differentiation Formulas
Derivatives of Trigonometric Functions
EXAM 1 / Read 3.3 (144)
Read 3.4 (154)
EXAM 1 / 1-17 odd, 18, 19-41 odd, 49-79 odd
1-17 odd, 21-39 odd, 40-48
Friday 2/5/10: Sections 2.1 – 3.3
5: Feb 8-12 / The Chain Rule
Implicit Differentiation / Read 3.5 (161)
Read 3.6 (169) / 1-75 odd
1-35 odd, 45-49 odd
6: Feb 15-19
No class on
Tue, Feb 16 / Rates of Change in the Natural Sciences
Related Rates
Linear Approximation and Differentials / Read 3.7 (179)
Read 3.8 (186)
Read 3.9 (193) / 1-9 odd, 11 a, 13 a and b, 15-19 odd, 27
1-13 odd, 14, 15, 17, 18, 19, 21, 23, 27, 28,29
1-5 odd, 11-19 odd, 23-27 odd, 31, 33
7: Feb 22-26 / Maximum and Minimum Values
The Mean Value Theorem / Read 4.1 (211)
Read 4.2 (219) / 1-13 odd, 17, 19, 21, 27-41 odd, 45-55 odd
1, 3, 5, 7, 11, 14, 17, 23, 25, 32
8: Mar 1-5 / How Derivatives Affect the Shape of a Graph
EXAM 2 / Read 4.3 (227)
EXAM 2 / 1-7 odd, 8, 11, 12, 13, 15, 17, 20, 21-29 odd,
33-39 odd
Friday 3/5/10: Sections 3.3 – 4.2
9: Mar 8-12 / Limits at Infinity; Horizontal Asymptotes
Summary of Curve Sketching / Read 4.4 (240)
Read 4.5 (248) / 1, 3, 7-19 odd, 20, 21-29 odd, 33-37 odd,
41-59 odd
3, 5, 9, 13, 15, 19, 25, 27, 31-35 odd, 43,
45, 49
Mar 15-19: Spring Break
10: Mar 22-26 / Optimization Problems
Newton's Method / Read 4.7 (262)
Read 4.8 (272) / 2, 3, 5, 9-23 odd, 24, 26, 27, 30, 31-35 odd,
36, 44
5, 7, 11-17 odd
11: Mar 29-
April 2 / Antiderivatives
Areas and Distances / Read 4.9 (279)
Read 5.1 (298) / 1-43 odd, 51-57 odd, 61, 66, 67
1-5 odd, 15-21 odd, 22
12: Apr 5-9 / The Definite Integral
The Fundamental Theorem of Calculus / Read 5.2 (310)
Read 5.3 (321) / 1, 3, 5, 9, 11, 17-25 odd, 29, 33-43 odd, 47,
49, 52, 53-59 odd, 69
1-35 odd, 45-49 odd, 55, 57
13: Apr 12-16 / Indefinite Integrals
The Substitution Rule
EXAM 3 / Read 5.4 (329)
Read 5.5 (338)
EXAM 3 / 1-15 odd, 19-33 odd, 34-37, 39, 41, 45, 47,
55, 57
1-29 odd, 35-49 odd, 57
Friday 4/16/10: Sections 4.2 – 5.4
14: Apr 19-23 / Areas Between Curves
Volumes / Read 6.1 (352)
Read 6.2 (362) / 1-33 odd
1-35 odd, 41, 58-60
15: Apr 26-30 / Volumes by Cylindrical Shells
Average Value of a Function
Review / Read 6.3 (368)
Read 6.5 (377)
Review / 1-25 odd, 29, 37-41 odd
1-9 odd, 14, 17, 19
16 / COMPREHENSIVE FINAL EXAM / Monday 5/3/10, 8:00 - 9:55 am; location: TBA
You are expected to know how to do these problems. The solution is given in the back of the book for most of the problems, so that you can check your work.
Tools for Enriching Calculus, (TEC), is a companion to the text and is accessible from the Internet at www.stewartcalculus.com. TEC includes Homework Hints for representative exercises in every section of the text, indicated by printing the exercise number in red.