The homework problems you solve on COW are a first step to learning differential calculus. The following problems from the calculus text used in this course will help you build on what you have learned by doing the COW assignments. You can expect problems such as you worked on the CalculusQuest web site, the COW web site, and the following problems to be representative of questions that will appear in the proctored final exam.


All the recommended problems are from the book Single Variable Essential Calculus (Early Transcendentals) by James Stewart

MAKE SURE that you have the correct text. If you are using a different calculus text, you should solve problems from corresponding sections in your book.

Stage 1 Recommended Book Problems

Sec.
 Title
 Recommended Problems
1.1
 Functions and Their Representatives
 # 3, 5, 15, 17, 21, 23
1.2
 A Catalog of Essential Functions
 # 3, 5, 9, 17, 23, 33, 53


Stage 2 and Stage 3 Book Problems

Sec. Title Recommended Problems
1.3 The Limit of a Function
# 3, 5, 9, 13
1.4
 Calculating Limits
# 1, 5, 11, 21, 37
1.6
 Limits involving Infinity
 # 3, 7, 13, 21, 25

 

Stage 4 Book Problems

Sec. Title Recommended Problems
1.4 Limit Theorems
 # 3, 5, 7, 9
1.5 Continuity
# 3, 5, 13, 17, 21, 33, 37, 39


Stage 5 Book Problems

Sec. Title Recommended Problems
2.1
 Derivatives, Rates of Change
# 1, 3, 5, 7, 9
2.2
 The Derivative as a Function
 # 3, 5, 17, 21, 33


Stage 6 Book Problems

Sec. Title Recommended Problems
2.3

Basic Differentiation Formulas

 # 5, 7, 17, 21, 27, 29, 43
2.4 Product and Quotient Rules
# 3, 5, 11, 19, 27, 33
2.5 The Chain Rule
 # 1, 5, 9, 11, 15, 21, 27, 31, 39
2.6 Implicit Differentiation # 1, 5, 9, 15, 21
3.1
 The Exponential Function
 # 3, 5, 25, 27
3.2
 Inverse Functions and Logarithms
# 9, 11, 15, 25, 43, 49
3.3
 Derivatives of Logarithmic and
Exponential Functions
 # 1, 5, 9, 17, 25, 31, 41, 47
3.5
 The Inverse Trigonometric Functions
 # 1, 3, 5, 17, 23, 25


Stage 7 Book Problems

Sec. Title Recommended Problems
4.1 Maxima and Minima
 # 3, 9, 17, 19, 23, 27
4.2 The Mean Value Theorem
# 1, 5, 11, 13, 17
4.3 Derivatives and Shapes of Graphs
#  1, 3, 5, 15, 23, 27
4.4
 Curve Sketching
# 1, 3, 11, 23, 27, 37


Stage 8 Book Problems

Sec. Title Recommended Problems
4.5 Optimization Problems
# 3, 5, 9, 13, 15, 17, 21


Stage 9 Book Problems

Sec. Title Recommended Problems
2.7
 Related Rates
 # 1, 5, 9, 11, 13, 15, 17
2.8
 Differentials and Approximation
 # 1, 3, 7, 11, 17
4.6 Newton's Method # 3, 5, 9, 13, 15, 17