Math 163A Suggested Exercises for Fall 2009


*Sections 1-1 and 1-2 are covered on Exam 1 but are not covered in class.


Exercises requiring a calculator are shown in [square brackets].

Section	Title	Suggested Exercises
1-1* Linear Equations and Inequalities # 11, 21, 23, 25, 33, 34, 35, 36, 39, 41, 65, 67
1-2* Graphs and Lines # 17, 23, 25, 35ab[cd], 37, 49, 51, 53, 57, 59, 61, 69, 77
2-1 Functions # 35, 37, 39, 45, 47, 49, 51, 67, 69, 70, 93, 97, 99, 103, 105, 109
2-2 Elementary Functions: Graphs and Transformations # 3, 5, 7, 9, 11, 17, 19, 21, 23, 25, 30, 31, 32, 33, 34, 35, 37, 39, 47, 49, 51, 53, 61, 63a, 65, 67
2-3 Quadratic Functions # 9, 13, 15, 19, 21, 23, 25, [31], [41], 45, 47, 51, 52, 57, 59, 61, 63
2-4 Exponential Functions # 1, 3, 5, 7, 16, 17, 19, 21, 23, 25, 27, 29, 31, 33, 43, 45, 47, 49, 51, 61, 65, 67, 73, 75
2-5 Logarithmic Functions # 2, 3, 5, 9, 11, 13, 15, 17, 19, 21, 23, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 61, 63, [71], [73], [77], 87, [91], [93], [95], 99, 100a[b]cd, [104]
3-1 Introduction to Limits # 3, 4, 5, 7, 17, 21, 35, 37, 41, 45, 47, 49, 55, 57, 59, 63, 71
3-2 Continuity # 1, 3, 5, 7, 9, 10, 15, 19, 21, 25, 27, 29, 31, 33, 35, 49, 53, 63, 65, 71, 75
3-3 Infinite Limits and Limits at Infinity # 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 13, 15, 21, 23, 25, 27, 31, 33, 35, 37, 39, 49, 57, 59, 61, 63, 69
3-4 The Derivative # 1, 5, 7, 13, 17, 19, 21, 27, 29, 31, 32, 33, 34, 35, 36, 37, 38, 39, 41, 45, 46, 57, 59, 61
3-5 Basic Differentiation Properties # 1, 3, 7, 9, 11, 15, 17, 23, 25, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 51, 55, 65, 67, 75, 77, 79, 83, 89
3-6 Differentials # 1, 3, 7, 11, 13, 15, 19, 21, 37, 41, 43, 45, 47
3-7 Marginal Analysis in Business and Economics # 1, 3, 5, 9, 11, 13
4-1 The Constant e and Continuous Compound Interest # [1], [3], [5], [11], [13], [17], [19], [21], [25], [27], [33], [35], [37], [39]
4-2 Derivatives of Exponential and Logarithmic Functions # 1, 3, 7, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 41, 51, 53
4-3 Derivatives of Products and Quotients # 1, 3, 5, 9, 11, 17, 23, 25, 27, 35, 39, 47, 51, 53, 55, 57, 59, 61, 67, 77, 83, 87
4-4 The Chain Rule # 23, 27, 29, 31, 33, 35, 37, 39, 41, 45, 47, 49, 51, 57, 61, 63, 67, 71, 79, 83, 89, 93, [97], [99]
4-5 Implicit Differentiation # 3, 7, 9, 13, 17, 19, 25, 29, 31, 43, 47
4-6 Related Rates # 1, 3, 7, 9, 11, 13, 17, 19, 21, 31
5-1 First Derivative and Graphs # 1, 3, 5, 6, 7, 9, 11, 13, 15, 17, 21, 23, 25, 27, 29, 33, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 77, 79, 91, 101
5-2 Second Derivative and Graphs # 1, 3, 5, 7, 9, 11, 13, 15, 16, 18 19, 21, 25, 29, 31, 33, 37, 45, 51, 55, 59, 61, 71, 73, 79, 81, 89
5-4 Curve Sketching Techniques # 1, 3, 5, 7, 9, 11, 15, 17, 21, 23, 24, 25, 43, 57, 59, 65, 75, 83
5-5 Absolute Maxima and Minima # 1, 3, 5, 7, 11, 15, 17, 19, 21, 23, 27, 29, 33, 35, 37, 51, 57, 59, 61
5-6 Optimization # 1, 3, 5, 7, 9, 11, 13ab, 23, 25, 30, 31, 37