Week Material Readings from
TextbookHomework/Recitation Assignments 1 June 1997
Exponential Functions Derivatives of Exponentials; The Natural Base
Logarithmic Functions
3.1 3.2
3.3
p. 200: 3, 5, 9, 13, 17, 27, 29, 35, 39, 43, 45, 47 p. 214: 1, 5, 9, 13, 15, 17, 21, 27, 33, 35, 39, 45, 60-62 1 18 Nov 96
Derivatives of Logarithmic Functions Exponential Growth/Decay Problems
Inverse Trigonometric Functions
3.4 (to p. 218) 3.5
3.6
p. 221: 1, 5, 7, 11, 15, 19, 23, 27, 31, 45, 49, 51 p. 226: 3, 5, 7, 9, 11, 12, 13, 17, 19, 20, 21 p. 233: 1, 3, 11, 13, 31, 33, 35, 37, 41, 43, 51, 61, 63, 65 3 25 Nov 96
No Thursday lectures
No recitations this weekRelated Rate Problems 2.8
p. 172: 5, 7, 15, 17, 19, 21, 23, 25, 26, 27 4 2 Dec 96
Differentials and Linear Approximations Review
2.9 (to p. 178)
p. 180: 1, 5, 7, 11, 13, 17, 25, 27-29 5 6 Jan 97
Differentials & Linear Approximations
(in recitation)Antiderivatives
SIgma Notation
Chapter 2: Sec. 2.9 (to p. 178) Chapter 4: Sec. 4.9
Chapter 5: Sec. 5.1
p. 180: 1, 5, 7, 11, 13, 17, 25, 27-29 p. 313 3, 7, 11, 19, 23, 27, 31, 55, 57, 61, 63, 69, 71-72 p. 326 1, 5, 9, 13, 17, 19, 21, 25, 29, 31, 41(a,c), 47-49 6 13 Jan 97
Area as a Limit The Definite Integral
Chapter 5: Sec. 5.2 (to p. 333) Chapter 5: Sec. 5.3 (to p. 341)
p. 335: 1, 3, 7, 21-22 p. 344: 1, 5, 9, 11, 13, 23, 25, 27, 29, 31 7 20 Jan 97
The Fundamental Theorem of Calculus Indefinite Integrals
The Substitution Rule (Change of Variable)
Chapter 5: Sec.5.4 - 5.5
p. 356: 5, 7, 9, 11, 17, 19, 23, 25, 37, 43, 47, 63 p. 356: 67, 69, 71, 75, 77, 79, 81, 83 p. 365: 1, 3, 7, 9, 13, 17, 21, 27, 29, 35, 37, 53, 59, 63, 65, 69 8 27 Jan 97
Area Between Curves Volumes by Slicing
Chapter 6: Sec. 6.1 - 6.2
p. 385: 1, 3, 5, 9, 11, 15, 17, 29, 33, 35, 41, 43 p. 396: 3, 7, 9, 11, 33, 35, 37, 49, 51, 53, 63, 69 9 3 Feb 97
Volumes by Cylindrical Shells Work
Chapter 6: Sec. 6.3 - 6.4
p. 402: 1, 5, 11, 13, 17, 19, 35, 39, 41-42, 45-46 p. 406: 3, 5, 7, 11, 13, 15, 17, 19, 23-24, 25 10 10 Feb 97
Integration by Parts Intetegration Using Tables
and Computer Algebra SystemsChapter 7: Sec. 7.1 & 7.7
p. 421: 1, 3, 5, 11, 13, 17, 19, 31, 37, 39, 42, 46 p. 457: 1, 3, 4, 5, 7, 11, 13, 19, 31, 33, 35-38 11 17 Feb 97
Approximate Integrations Trapezoidal Rule and Simpson's Rule
Arc Length
Chapter 7: Sec. 7.8 Chapter 8: Sec. 8.2 (to p. 497)
p. 466: 3, 7, 11, 15, 36 (with Maple), 29-33 (with calculator) p. 499: 3, 5, 9, 17, 19, 21, 23, 33 12 24 Feb 97
Differential Equations Moments and Centers of Mass
Chapter 8: Sec. 8.1 Chapter 8: Sec. 8.4
p. 491: 1, 3, 5, 9, 17, 29, 31, 33, 34, 43 p. 511: 1, 3, 5, 7, 9, 11, 17, 19, 23, 25, 26-27 13 3 Mar 97
Curves Defined by Parametric Equations Tangents and Areas
Arc Length for Parametric Curves
Chapter 9: Sec. 9.1-9.3 (to p. 542)
p. 531: 1, 3, 5, 7, 9, 11, 13, 17, 19, 21, 28, 31 p. 538: 1, 3, 5, 7, 19, 21, 23, 29 p. 543: 1, 3, 5, 7, 9, 11, 13, 15 14 10 Mar 97
Polar Coordinates & Polar Curves Area in Polar Coordinates
Review for Final Examination
Chapter 9: Sec. 9.4 (to p. 548) Chapter 9: Sec. 9.5 (to p. 555)
Note: The above problems are to be prepared for the Week 1 Recitation in Spring term.
p. 552: 1, 7, 11, 13, 15, 17, 21, 25, 27, 31, 33, 37, 39, 43, 51 p. 558: 3, 5, 7, 11, 15, 21, 23, 25