Calculus I, Homework Problems

The following are a list of suggested practice problems for Calculus I (Math 157).

Section	Section Title	Practice Problems (Unless otherwise indicated, ranges are odds only.)	Challenge Problems
1.3	The Limit of a Function	3-9, 23, 29-37	36, 38, 44
1.4	Calculating Limits	1-27, 33-41, 49-55	28, 42, 52, 60
1.5	Continuity	3-7, 11-23, 27-33, 37-41	22, 34, 42, 48
1.6	Limits Involving Infinity	1-7, 13-33	28, 40, 52, 58
2.1	Derivatives and Rates of Change	3-5, 7ab, 9-19, 25-35, 49	26, 34, 42
2.2	The Derivative as a Function	3-11, 19-25, 33-35, 39	6, 8, 10, 24, 40
2.3	Basic Differentiation Formulas	1-27, 31-41, 45, 47, 63	34, 38, 44, 66
2.4	The Product and Quotient Rules	1-29, 33-41, 45, 55	42, 46, 48
2.5	The Chain Rule	1-47, 51-53	40, 63, 72
2.6	Implicit Differentiation	1-27, 33, 35-37, 41-43	12, 14, 16, 24, 36
2.7	Related Rates	1-21, 27, 37	18, 24, 26, 38
2.8	Linear Approximations and Differentials	1-3, 17-23, 27	12, 18, 24
3.1	Maximum and Minimum Values	3-43, 57	30, 34, 40, 44, 53
3.2	The Mean Value Theorem	1-5, 9-11, 15-23	12, 18, 24, 34
3.3	Derivatives and the Shapes of Graphs	1-5, 9-31	16, 24, 30, 34, 48
3.4	Curve Sketching	1-23, 31, 33	16, 22, 28, 40, 46, 50
3.5	Optimization Problems	3, 7, 11-19	14, 26, 38, 40, 48
3.6	Newton's Method	3, 7, 23, 25	14, 16, 18, 24
3.7	Antiderivatives	1-31, 35, 39-41, 47	20, 26, 30, 38, 42
4.1	Areas and Distances	5, 17	8, 12, 16, 20
4.2	The Definite Integral	1, 13, 15-17, 19-23, 31-35, 41	18, 22, 30, 34, 48
4.3	Evaluating Definite Integrals	1-29, 39, 59, 61	30, 44, 48, 54, 60
4.4	The Fundamental Theorem of Calculus	3-19, 27	10, 12, 14, 18, 26
4.5	The Substitution Rule	1-47, 57	16, 18, 22, 26, 28, 34, 38, 40, 42, 46
5.1	Inverse Functions	3-17, 21-25, 29-43	22, 26, 34, 36, 38, 40
5.2	The Natural Logarithmic Function	1-47, 51-63	30, 32, 34, 40, 46, 56, 60
5.3	The Natural Exponential Function	3-43, 49, 51-55, 61-67, 71	18, 22, 24, 32, 36, 54, 64, 66