MATHEMATICS 130, Section 01
Calculus I
Dr. John Bukowski (my office hours)
Fall 2009
Course Outline with Homework Problems :
Read sections of the text prior to class, since we will be working on problems from the sections during class time.
Note: These homework problems are NOT to be turned in.
Section |
Topic | Homework Problems |
Chapter 1 |
A Library of Functions | |
1.1 |
Functions and Change | 2, 4, 5, 7, 12, 14, 16, 17, 21, 23, 30, 32, 33, 34, 36, 37, 43, 46 |
1.2 |
Exponential Functions | Tues.: 1-4, 6, 16-20, 33, 34, 35 Wed.: 9, 10, 14, 22, 23, 29, 30, 37 (not the algebraic part) |
1.3 |
New Functions from Old | 2, 4, 5, 9, 14, 16, 19, 20, 24, 28, 30, 34, 42, 43, 45, 52, 55 |
1.4 |
Logarithmic Functions | 1, 2, 5, 7, 10, 13, 21, 22, 28, 30, 32, 33, 40, 41, 47, 50, 52 |
1.5 |
Trigonometric Functions | 1, 3, 6, 10, 13, 15, 17, 19, 22, 24, 27, 34, 42, 46 |
1.6 |
Powers, Polynomials, and Rational Functions | 1, 2, 4, 9, 11, 12, 16, 18, 19, 20, 23, 26, 28 |
1.7 |
Introduction to Continuity | 2, 3, 6, 8, 11, 13, 18, 20, 21, 24, 27, 28 |
1.8 |
Limits | 1abd, 7, 8, 28, 29 1c, 11, 13, 26, 30, 34, 36, 39, 40, 46 |
Chapter 2 |
Key Concept: The Derivative | |
2.1 |
How Do We Measure Speed? | 1, 4, 5, 9, 10, 11, 15, 17-25 |
2.2 |
The Derivative at a Point | 1, 2, 4, 6, 12, 13, 15, 16, 17, 28, 38, 40 |
2.3 |
The Derivative Function | 3, 5, 9, 10, 37, 38 1, 13, 14, 21, 22, 27-31, 34-36, 40, 46, 48, 49 |
2.4 |
Interpretations of the Derivative | 1, 2, 5, 6, 10, 14, 16, 18, 21 |
2.5 |
The Second Derivative | 1-5, 7, 10-12, 15, 16, 17, 19, 22, 23, 27-31 |
2.6 |
Differentiability | 1-5, 7-12, 16 |
Chapter 3 |
Short-Cuts to Differentiation | |
3.1 |
Powers and Polynomials | 3-47 odd (as many as you need), 49, 52, 53, 55, 59, 60, 61, 64, 65, 67 |
3.2 |
The Exponential Function | 1-35 odd, 38, 39, 40, 44, 45, 47 |
3.3 |
The Product and Quotient Rules | Wed.: 1, 3-10, 20, 23, 31, 34, 36, 41, 42 Mon.: 11-15, 21, 25, 32, 35, 37, 47, 48, 49 |
3.4 |
The Chain Rule | 1-49 odd (as many as you need), 51, 53, 56, 57, 61, 77, 80 |
3.5 |
The Trigonometric Functions | 3-39 odd (as many as you need), 40, 41, 43, 47 |
3.6 |
The Chain Rule and Inverse Functions | Mon.: 1-13 odd, 19, 27, 43, 46, 57, 59 Tues.: 15, 17, 21, 23, 25, 45 (Don't do these: find the derivatives of x^(sin x), x^(ln x), (1+x)^(1/x) .) |
3.7 |
Implicit Functions | 1-29 odd, 33 |
3.9 |
Linear Approximation and the Derivative | 1-10, 13ab, 14 |
3.10 |
Theorems about Differentiable Functions | 2, 3, 6-9, 14, 21; also p. 173, 32-34 |
Chapter 4 |
Using the Derivative | |
4.1 |
Using First and Second Derivatives | 1, 3, 5, 7, 9, 11-13, 19-21, 28-31, 32, 35, 40, 45 (ask q. on Wed.) |
4.2 |
Optimization | 1, 5, 9, 18, 19, 20, 26, 28, 29, 31, 40 |
4.3 |
Families of Functions | 3, 4, 37, 40, 42 |
4.4 |
Optimization, Geometry, and Modeling | 1, 2, 4, 5, 32, 33, 40, 49 |
4.6 |
Rates and Related Rates | 4, 9, 14, 24, 27, 31, 32, 33 |
4.7 |
L'Hopital's Rule, Growth, and Dominance | 1, 2, 5, 9-12, 14, 15, 16, 22, 23, 29, 37, 38 |
Chapter 5 |
Key Concept: The Definite Integral | |
5.1 |
How Do We Measure Distance Traveled? | Fri.: Read the section! Think about the rest of the worksheet. Also: 1, 3. Mon.: 4, 7, 8, 10, 12, 13, 22, 23, 26, 27 |
5.2 |
The Definite Integral | 1-4, 7, 8, 14, 22, 25, 30, 31, 33, 35 |
5.3 |
The Fundamental Theorem and Interpretations | 2, 4, 5, 6, 9, 20, 27, 29, 30, 32, 33, 35, 38, 42 |
5.4 |
Theorems about Definite Integrals | 2, 12, 14, 15, 21, 24, 28, 29, 31, 33, 35, 42, 43, 48 |
Chapter 6 |
Constructing Antiderivatives | |
6.1 |
Antiderivatives Graphically and Numerically | 1, 4, 5, 7, 9, 12, 14, 15, 18-21, 23, 24 |
6.2 |
Constructing Antiderivatives Analytically | 29-63 odd (do 1-28 if needed), 64-66, 75, 77 |
6.3 |
Differential Equations | 1, 5, 7, 8, 10, 12, 14, 17ac, 19, 21, 23 |
6.4 |
Second Fundamental Theorem of Calculus | 1-4, 5-12, 15-17, 22, 23, 29, 30 |
Chapter 7 |
Integration | |
7.1 |
Integration by Substitution | |
7.2 |
Integration by Parts | |
Chapter 8 |
Using the Definite Integral | |
8.1 |
Areas and Volumes | |
8.2 |
Applications to Geometry |