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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)
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