Homework Revisions from Basic Syllabus

Section Topic Remove Add
2.1 Limits 37 12a,c; 15a,c; 17a
2.2 Limit Laws   52a, 53, 54, 55, 57a
2.3 Precise Definition of Limit   1, 4, 7, 9, 14, 16, 19, 22, 31, 37, 43, handout
2.4 One-sided limits and limits at infinity 57 67-74, 83, 84
2.5 Vertical asymptotes 3, 11, 17 39, 45
2.6 Continuity 17, 27 54, 55, 58
2.7 Tangents and Derivatives 9, 13, 17, 19, 35, 41 31, 32
3.1 Derivative as a Function 1, 11 31a, 35, 51
3.2 Product and Quotient Rule etc. 9, 17, 43 39, 46, 53a
3.3 Derivative as Rate of Change 3, 9, 13 19
3.4 Derivatives of Trig Functions 3, 11, 13, 17, 25 27, 44, 47, 48, 49
3.5 Chain Rule 5, 11, 21, 25, 37, 43, 47, 55, 61 74, 81, 84, 87, 89, 95, 109
3.6 Implicit Differentiation 3, 21, 45 35, strategy for 70 and 71
3.7 Derivatives of Inverses 15, 55, 93 7, 9, 95
3.8 Inverse Trig Derivatives 7 75, 77, 81
3.9 Related Rates 7, 10, 21, 27 30
3.10 Differentials 5, 25, 51 6, 8, 13, 49, 70
Section Topic Remove Add
4.1 Extreme Values 1, 5, 7, 19, 53 3, 4, 11, 14, 67, 71
4.2 Mean Value Theorem 33, 39, 41 5, 10, 16, 46, 50, 56, 58, 63
4.3 First Derivative Test 3, 7, 9, 13, 15, 33, 39 52
4.4 Concavity 5, 11, 47, 51, 59 63, 67, 70
4.5 Optimization 7, 16 59
4.6 L'Hopital's Rules 15, 23, 33 55, 57, 61, 64
4.7 Newton's Method 2 10
4.8 Antiderivatives 11, 17, 31, 41, 59, 105 73, 78, 81, 83, 87, 105
5.1 Estimating with Finite Sums 7, 14, 17  
5.2 Limits of Finite Sums 3, 21, 35 (right sum, not upper) 9
5.3 Definite Integral 33, 41, 47, 51, 55, 57, 57, 59 61, 63, 65, 66, 72, 82
5.4 Fundamental Theorem of Calculus 5, 13, 15, 21, 35, 43 62, 66, 75, 76, 77
5.5 Indefinite Integrals and Substitution 5, 15, 25, 38, 53  
5.6 Area Between Curves 1b, 3b, 9a, 11b, 27, 51 108, 111, 113
6.1 Volumes by Slicing and Rotation around an Axis 23, 39, 43, 45 55, 57
6.2 Cylindrical Shells 9, 17, 29 35