Calculus I, Suggested Problems

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

Section Section Title Problems (Unless otherwise indicated, ranges are odds only.)
1.3 The Limit of a Function 3-9, 23, 29-37
1.4 Calculating Limits 1-27, 33-41, 49-55
1.5 Continuity 3-7, 11-23, 27-33, 37-41
1.6 Limits Involving Infinity 1-7, 13-33
2.1 Derivatives and Rates of Change 3-5, 7ab, 9-19, 25-35, 49
2.2 The Derivative as a Function 3-11, 19-25, 33-35, 39
2.3 Basic Differentiation Formulas 1-27, 31-41, 45, 47, 63
1.4 Calculating Limits 1-29, 33-41, 45, 55
2.5 The Chain Rule 1-47, 51-53
2.6 Implicit Differentiation 1-27, 33, 35-37, 41-43
2.7 Related Rates 1-21, 27, 37
2.8 Linear Approximations and Differentials 1-3, 17-23, 27
3.1 Maximum and Minimum Values 3-43, 57
3.2 The Mean Value Theorem 1-5, 9-11, 15-23
3.3 Derivatives and the Shapes of Graphs 1-5, 9-31
3.4 Curve Sketching 1-23, 31, 33
3.5 Optimization Problems 3, 7, 11-19
3.6 Newton's Method 3, 7, 23, 25
3.7 Antiderivatives 1-31, 35, 39-41, 47
4.1 Areas and Distances 5, 17
4.2 The Definite Integral 1, 13, 15-17, 19-23, 31-35, 41
4.3 Evaluating Definite Integrals 1-29, 39, 59, 61
4.4 The Fundamental Theorem of Calculus 3-19, 27
4.5 The Substitution Rule 1-47, 57
5.1 Inverse Functions 3-17, 21-25, 29-43
5.2 The Natural Logarithmic Function 1-47, 51-63
5.3 The Natural Exponential Function 3-43, 49, 51-55, 61-67, 71