|
The list of problems below provide a guide to students
as to the material to be covered. The problems marked by *'s are
particularly interesting.
-
Aug. 27, Review and preview: (page 16) #77-82
(page 25) #3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27*
-
Aug. 29,
1.1 The tangent and velocity problems: (page 50) #3, 5, 7
-
Sept. 3,
1.2 The limit of a function: (page 59)
#1, 3, 5, 9, 11, 13, 15, 17, 19, 23, 25, 27, 28, 29
-
Sept. 5,
1.3 Calculating limits using the limit laws: (page 68)
#1, 3, 5, 7, 13, 15, 17, 19, 27, 29, 33, 39, 59, 61, 75*, 76*, 78*
-
Sept. 8,
1.4 The rigorous definition of a limit: brief overview
-
Sept. 10,
1.5 Continuity: (page 87)
#1, 3, 9, 13, 15, 17, 31, 33, 37, 39, 45, 47, 49, 59*, 60*
-
Sept. 12,
1.6 Tangents, velocities and other rates of change: (page 96)
#1, 5, 7, 11, 13, 15, 17
-
Sept. 15,
2.1 Derivatives: (page 109)
#1, 3, 5, 7, 11, 13, 15, 23, 31, 33, 34, 35, 37, 39, 44,
45, 53, 55, 59*, 60*, 61*
-
Sept. 17,
2.2 Differentiation formulas: (page 120)
#1-34, 37, 41,
43, 45, 47, 49, 55, 57, 63, 71, 74*, 76*.
-
Sept. 19,
2.3 Rates of change in the natural and social sciences: (page 130)
#1, 3, 5, 7, 9, 11, 13
-
Sept. 22, Review
-
Sept. 23,
First Midterm
-
Sept. 24,
Appendix D, Trigonometry review: (page A30)
#1, 3, 5, 7, 9, 11, 29, 31, 33, 35, 37, 43, 45, 47, 49, 53, 83*,85*
-
Sept. 26,
2.4 Derivatives of trigonometric functions: (page 137)
#1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 33, 35, 37, 43,
45, 47, 53*, 55
-
Sept. 29,
2.5 The chain rule: (page 144)
#1-47 (odds) 49, 51, 67, 69, 71*, 72*, 73*
-
Oct. 1,
2.6 Implicit differentiation: (page 150)
#1, 3, 5, 7, 9, 11, 21, 23, 25, 31, 35, 41, 43, 45
-
Oct. 3, October break
-
Oct. 6,
2.7 Higher derivatives: (page 155)
#1, 3, 5, 7, 23, 25, 27, 29, 31*, 41, 43, 47, 49, 52*, 53
-
Oct. 8, 10,
2.8 Related rates: (page 160)
#1, 3, 5, 7, 9, 11, 13, 15, 23, 27, 31
-
Oct. 13,
2.9 Linear approximations: (page 168)
#31, 33, 35, 37, 39, 41, 45, 47, 51*, 54
-
Oct. 15,
2.10 Newton's method: (page 173)
#1, 2, 3, 13, 23, 25, 31*
-
Oct. 17, Review
-
Oct. 20, Review
-
Oct. 21,
Second Midterm
-
Oct. 22, discussion of the midterm
-
Oct. 24,
3.1 Maximum and minimum values: (page 188)
#1, 3, 5, 7, 9, 11, 13, 15, 21, 29,
31, 33, 35, 37, 39, 45, 47, 49, 51, 62, 63, 67, 69
-
Oct. 27,
3.2 The mean value theorem: (page 194)
#1, 7, 17, 19, 21, 23*, 24, 25, 27, 31, 33, 35
-
Oct. 29,
3.3 Monotonic functions and the first derivative test: (page 199)
#1, 3, 5, 7, 17, 23, 27, 31, 33, 35, 37, 39, 41, 43, 47*, 49*
-
Oct. 31,
3.4 Concavity and points of inflection: (page 205)
#1, 3, 5, 7, 9, 13, 17, 21, 23, 25, 27, 31*, 32, 35, 39*, 40
-
Nov. 3,
3.5 Limits at infinity, horizontal asymptotes: (page 216)
#1, 3, 5, 7, 9, 11, 17, 19, 21, 23, 33, 41, 43, 53, 55, 61, 65, 66
-
Nov. 5,
3.6 Curve sketching: (page 224)
#1, 3, 5, 11, 13, 31, 35
-
Nov. 7, 10,
3.8 Applied maximum and minimum problems: (page 236)
#1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 29, 33, 35, 43, 44.
-
Nov. 12,
3.10 Anti-derivatives: (page 249)
#1, 3, 5, 7, 15, 17, 19, 21, 23, 27, 37, 39, 43, 49, 55, 59*, 63, 65, 67*
-
Nov. 14,
4.1 Sigma notation: (page 262)
#1, 3, 11, 13, 19, 21, 23, 37, 39, 41, 47*, 53*
Appendix E, Mathematical induction: (page A34)
#1, 7, 9
-
Nov. 17, Review
-
Nov. 18,
Third Midterm
-
Nov. 19, discussion of the midterm
-
Nov. 21,
4.2 Area: (page 271)
#1, 3, 9, 11, 13, 23, 25*, 26*
-
Nov. 24,
4.3 The definite integral: (page 280)
#1, 3, 15, 16, 17, 23, 25, 27, 31, 33, 35, 39, 41, 45, 47, 55, 57, 59
-
Nov. 26, 28
Thanksgiving break
(no class on the 26, as a compensation for the 3 evening midterms)
-
Dec. 1,
4.4 The fundamental theorem of calculus: (page 291)
#5, 7, 9, 17, 19, 21, 23, 25, 27, 29, 31, 41, 43, 45, 59, 61, 63, 65, 69,
71, 81, 82, 83a,b,c*, 87, 89
-
Dec. 3,
4.5 The substition rule: (page 300)
#1, 3, 5, 7, 9, 11, 39, 41, 43, 53, 55, 63, 65, 67
-
Dec. 5,
5.1 Areas between curves: (page 313)
#1, 5, 7, 9, 13, 15, 17, 19, 25, 29, 33, 45*, 49
-
Dec. 8,
5.2 Volume: (page 324)
#1, 3, 5, 7, 13, 15, 17, 19, 25, 27, 33, 35, 47, 49, 51, 52,
61, 68
-
Dec. 10, Review
-
Dec. 12, Review
-
Dec. 18,
Final Exam
|