Homework Assignments for MA 113 (01/02/03) -- Calculus I
Fall Semester 2003

 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