Homework Assignments for MA 114 (01/02/03) -- Calculus II
Spring Semester 2004

 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. Jan. 14, 4.5 Substitution rule (review): (page 300) #39, 41, 43, 45, 47, 49, 51, 53, 55, 65. Jan. 16, 6.1 Inverse functions: (page 350) #1, 3, 7-25, 28, 37, 38. Jan. 19, Martin Luther King, Jr. holiday Jan. 21, 6.2* The natural log function: (page 383) # 5-12, 17-20, 27-42, 43, 45, 49, 50, 56, 59, 67-76, 83, 84*, 85*. Jan. 23, 6.3* The natural exponential function: (page 389) #1-20, 25, 27, 29, 35, 37, 49, 59, 61, 81, 82. Jan. 26, 6.4* General log and exponential functions: (page 396) #11-32, 55, 58. Jan. 28, 6.5 Exponential growth and decay: (page 402) #1, 3, 5, 7, 9, 11, 17. Jan. 30, 6.6 Inverse trigonometric functions: (page 411) #1, 3, 5, 7, 13, 15, 17, 20, 22, 27-29, 30-34, 65, 66, 79-90, 93*, 94*, 95*. Feb. 2, 6.7 Hyperbolic functions: (page 418) # 3, 4, 7, 8, 15, 16, 23, 30, 31, 36, 39, 41, 51, 53, 55, 57. Feb. 4+6, 6.8 Indeterminate forms and L'Hopital's rule: (page 427) #1, 3, 5, 7, 9, 11, 13, 19, 21, 23, 25, 27, 29, 31, 88, 89, 91, 93, 95, 96, 99. Feb. 9, Review Feb. 10, First Midterm (7:30-9:30pm) Feb. 11, discussion of the midterm Feb. 13, 7.1 Integration by parts: (page 441) #1, 3, 5, 7, 9, 11, 13, 19, 21, 33, 37, 38*, 39*, 40*, 41, 42, 57, 62. Feb. 16, 7.2 Trigonometric integrals: (page 448) #1-44, 48, 51, 52. Feb. 18, 7.3 Trigonometric substitution: (page 454) #1-28, 31, 35, 38*. Feb. 20, 7.4 Integration by partial fractions: (page 463) #1-16, 17-54, 58-61. Feb. 23, 7.5 Rationalizing substitutions: (page 466) #1, 3, 5, 7, 9, 11, 18, 31*, 32*. Feb. 25, 7.6 Strategy for integration: (page 472) #1-80. Feb. 27, 7.8 Approximate integration: (page 485) #1, 3, 5, 9, 11, 17, 19, 21, 27. Mar. 1, 7.9 Improper integrals: (page 494) #1-25, 43, 45, 49, 51, 60*, 63, 81, 83. Mar. 3, 8.1 Differential equations: (page 511) #1, 3, 5, 11, 13, 15, 17, 29, 30, 31, 32. Mar. 5, 8.2 Arc length: (page 518) #1, 3, 5, 6, 7, 29, 30, 31. Mar. 8, Review Mar. 9, Second Midterm (7:30-9:30pm) Mar. 10, discussion of the midterm Mar. 12, 10.1 Sequences: (page 606) #1-11, 13-40, 47, 48, 51, 53, 55, 60*, 61*, 62*, 70*. Mar. 15-20, Spring break Mar. 22, 10.2 Series: (page 616) #1-34, 37, 39, 41, 43, 45, 47, 53, 55, 54, 57*. Mar. 24, 10.3 Integral test: (page 623) #1-17, 19, 23. Mar. 26, 10.4 Comparison tests: (page 628) #1, 3, 5, 7, 9, 11, 37, 39, 42*, 43*. Mar. 29, 10.5 Alternating series: (page 633) #1, 3, 5, 7, 9, 11, 17, 19, 21, 23. Mar. 31, 10.6 Absolute convergence and the ratio test: (page 639) #1, 3, 5, 7, 9, 11, 13, 27, 29, 33, 35. Apr. 2, 10.8 Power series: (page 647) #1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 29*, 33. Apr. 5, 10.9 Representation of functions as power series: (page 652) #1, 3, 5, 7, 9, 11, 13, 15, 17, 21, 23, 25, 27, 30*, 32*, 35*, 36*. Apr. 7, 10.10 Taylor and MacLaurin polynomials: (page 663) #1, 3, 7, 9, 11, 17, 19, 21, 25, 26, 29, 31, 32, 33, 34, 37, 38, 45, 47, 49. Apr. 9, 10.12 Applications of Taylor polynomials: (page 673) #1,3, 5, 9, 13, 18, 21, 23, 25, 26, 32*, 35*, 36. Apr. 12, Review Apr. 13, Third Midterm (7:30-9:30pm) Apr. 14, discussion of the midterm Apr. 16, 9.1 Curves defined by parametric equations: (page 551) #1, 3, 5, 7, 9, 17, 19, 23, 25, 27, 28, 31*, 33*, 34*. Apr. 19, 9.2 Tangents and areas: (page 558) #1, 3, 5, 15, 17, 23, 37*, 38*. Apr. 21, 9.3 Arc length: (page 563) #1, 3, 5, 7, 9, 12, 15, 16*. Apr. 23, 9.4 Polar coordinates: (page 572) #1, 3, 5, 7, 9, 11, 13, 37, 39, 41, 51, 53, 78*. Apr. 26, 9.5 Areas in polar coordinates: (page 578) #1, 3, 7, 15, 17, 19, 21, 23. Apr. 28, Review Apr. 30, Review May. 7, Final Exam (8:00-10:00am)