BORIS DATSKOVSKY'S LIST OF RECOMMENDED PROBLEMS IN THE BOOK
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Text:Hughes-Hallett, Gleasom, McCallum et al., Calculus: Single
Variable, Third Edition,  John Wiley and Sons, 2002.

Chapter 1: A Library of Functions

1.1:  3, 4, 5, 7, 9, 11, 13, 15, 16, 17, 19, 21, 27, 29, 32, 39
1.2: 5-8, 9, 15 (use log to find the doubling time in 15c), 17
1.3: 1, 2, 4, 13, 15, 16, 19, 31, 36
1.4: 1, 3, 5, 7, 9, 11, 15, 23, 25, 27, 29, 37, 39, 41
1.5: 1, 2, 3, 5, 7, 8, 9, 10-12, 13, 15, 16, 17, 21, 25, 27, 28, 34,
  35, 41
1.6: 1-6, 7, 9, 11, 13, 14, 23, 24, 32
1.7: 1-9, 13, 16 (think of continuity from a graphic point of view. A
  more precise treatment of continuity appears at the end of Chapter 1.2)

Chapter 2: Key Concept: The Derivative

2.1: 1, 2, 3, 5, 7, 9, 18
2.2: 1, 2, 5, 7, 9, 11, 13, 15, 17, 18, 20, 21, 22, 31, 33, 35 (you
  have to cover limits at infinity to assign problems 31, 33 and 35),
  37, 45
2.3: 1, 3, 5, 7, 9, 10, 11, 14, 16, 17, 18, 20
2.4: 1, 2, 3, 5, 13, 15, 19, 40
2.5: 1, 2, 3, 4, 7, 10, 15
2.6: 1, 2, 3, 5, 7, 8-13, 17
2.7: 1-5, 11, 14

Chapter 3: Short-Cuts To Differentiation

3.1: 3-31 odd, 35, 45, 49, 51, 55, 57
3.2: 1, 3, 5, 7, 11, 15, 17, 21, 23, 26, 36, 37, 41
3.3: 1, 3, 5, 7, 9, 11, 15, 17, 21, 23, 27, 29, 31, 33, 41
3.4: 1, 3, 7, 9, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 39, 45,
     49, 51, 55, 59, 61, 65
3.5: 2, 3-31 odd, 38, 41, 45, 47
3.6: 1, 3, 5, 7, 11, 13, 15, 17, 19, 21, 23, 25, 27, 33, 34, 43, 49,
     52, 53
3.9: 1, 3, 5, 7 (you should supplement these exercises by asking
  students to compute approximate values of functions, e.g. sqrt(1.02)
  or exp(-0.01), using linear approximations and compare these values with
  the calculator values)
3.10: 5, 7, 13, 14, 19 (this is a rather poor selection of exercises;
  therefore, only cover this section briefly)

Chapter 4: Using The Derivative

4.1: 1, 3, 4, 5, 7, 11, 13, 15, 17, 19, 21 (as it pertains to problems
  13, 15, 17 and 19. You may want to ask students to sketch the graphs
  of functions in problems 13, 15, 17 and 19 from the derivative
  information and not by using a graphing calculator as the book
  suggests), 25, 27, 32, 33
4.2: 1, 3, 7, 13, 15, 16, 23, 25 (25c should read ?find the value of k
  for which the local minimum value is the largest possible)
4.3: 3, 4, 5, 7, 11 (in 11b use derivative), 21, 23, 24, 25
4.5: 4, 5, 7, 8, 9, 10, 13, 15, 17
4.6:  this section is optional
4.7: no problems assigned from this section. The theorems, contained
  here, should be mentioned as the need for them arises)

Chapter 5: Key Concept: The Definite Integral

5.1: 1, 3, 5, 7, 9, 10, 11
5.2: 1, 3, 5, 7, 22, 28, 30, 31, 32
5.3: 1, 2, 3 (show your students how to use the Fundamental Theorem of
     Calculus here), 5, 7, 9, 11, 27
5.4: 1, 3, 11, 12, 13, 16

******end of math 75 list*********