With each topic covered, there is a list of associated homework problems. By the end of the semester, you will have solved all these problems. The exact dates of coverage are not known at this point, and the concrete assignments will be announced after each lecture, and posted on the daily homework page.
| Topic |
Section |
Homework Problems |
|---|---|---|
| Four Ways to Represent a Function |
1.1 |
1,5,8,10,19,24,27,28,31,36,37,39,41,48,51 |
| Mathematical Models |
1.2 |
3,4,9,12 |
| New Functions From Old Functions |
1.3 |
3,5,6,13,20,24,29,32,37,40,48,49,50,56 |
| Graphing Calculators |
1.4 |
5,7,9,13,21,24 |
| Exponential Functions |
1.5 |
5,12,13,15,16,18,21,23 |
| Inverse Functions and Logarithms |
1.6 |
3,9,14,15,16,18,23,24,25,27,31,33,46,49,57 |
| The Tangent and Velocity Problems |
2.1 |
4,8 |
| The Limit of a Function |
2.2 |
4,5,6,8,10,13,15,17,19 |
| Calculating Limits Using the Limit Laws |
2.3 |
13,15,20,23,25,30,33,34 |
| Continuity | 2.4 | 7,13,15,30,31,35,40,47 |
| Limits Involving Infinity |
2.5 |
2,3,7,8,10,14,15,20,21,27,28,29,31,35 |
| Tangents, Velocities, Rates of Change |
2.6 |
3,5,7,13,23 |
| Derivatives |
2.7 |
3,4,6,9,11,13,15,27,34 |
| The Derivative as a Function |
2.8 |
3,10,14,15,16,19,20,24,35,36,38 |
| Linear Approximations |
2.9 |
1,2,3,5,6,7,9,11,13,14 |
| What does f ' say about f ? |
2.10 |
2,3,5,9,11,12,18,19,20,23,25,26 |
| Derivatives of Polynomials and Exponential Functions |
3.1 |
4,9,12,14,17,18,19,22,25,29,31,39,43,44,48,55,63 |
| The Product and Quotient Rules |
3.2 |
1,2,13,17,26,27,28,31,33,36,39 |
| Derivatives of Trigonometric Functions |
3.4 |
1,5,9,18,22,26,33,34 |
| The Chain Rule |
3.5 |
5,10,17,19,22,29,30,34,37,38,39,41,42,43,44,53,54,55,58,60 |
| Implicit Differentiation |
3.6 |
7,11,15,18,25,29,31 |
| Derivatives of Logarithmic Functions |
3.7 |
1,7,8,12,20,22,32,33 |
| Linear Approximations and Differentials |
3.8 |
2,3,4,5,6,14 |
| Maximum and Minimum Values |
4.2 |
3,6,9,10,11,14,22,26,29,36,39,43,53 |
| Derivatives and the Shapes of Curves |
4.3 |
1,2,4,5,6,8,12,16,21,23,25,26,39,45,46,48 |
| Graphing with Calculus and Calculators |
4.4 |
1,9,26,29 |
| Optimization Problems |
4.6 |
1,2,7,8,9,13,14,18,19,20,21,36,40 |
| Antiderivatives |
4.9 |
7,10,13,14,19,22,29,34,36,44 |
| Areas and Distances |
5.1 |
2,6,12,13 |
| The Definite Integral |
5.2 |
5,6,7,9,18,21,22,29,30,31,33,36,42 |
| Evaluating Definite Integrals |
5.3 |
4,12,17,19,24,31,34,42,45,46,50,54,60 |
| The Fundamental Theorem of
Calculus |
5.4 |
1,3,4,5,9,11,19,20,24 |
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