Syllabus and Homework Assignments
Fall 2008

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Lecture Date Section(s) in Text Description and Assignment
Week 1
9/24 8.1
Review of substitution; Integration by parts
• Study: Section 8.1
• Do: Webwork assignments day0 (if necessary) and day1 (due Monday, 9/29)
• Practice problems: Section 8.1: 3, 9, 17, 23, 29, 35
9/26 8.2
Trigonometric integrals
• Study: Section 8.2
• Do: Webwork assignment day2 (due Monday, 9/29)
• Practice problems: Section 8.2 # 5, 9, 11, 25, 29
Week 2
9/29 8.3
Trigonometric substitution
• Study: Section 8.3
• Do: Webwork day3 (due Wednesday, 10/1)
• Practice problems: Section 8.3 # 5, 7, 9, 11, 25
10/1 8.8
Improper integrals
• Study: Section 8.8
• Do: Webwork day4 (due Friday, 10/3)
• Practice problems: Section 8.8 # 1, 5, 7, 13, 31
10/3 12.1/12.2
Sequences and series
• Study: Sections 12.1 and 12.2
• Do: Webwork day5 (due Monday, 10/6)
• Practice problems: Section 12.1 # 5, 13, 19, 33, 43; Section 12.2 # 23, 27
Week 3
10/6 12.2/12.3
Geometric series; integral test
• Study: Sections 12.2 and 12.3
• Do: Webwork day6 (due Wednesday, 10/8)
• Practice problems: Section 12.2 # 13, 15, 35, 43; Section 12.3 # 3, 11, 19, 21
10/8 12.4
Comparison tests
• Study: Section 12.4
• Do: Webwork day7 (due Friday, 10/10)
• Practice problems: Section 12.4 # 3, 7, 9, 15, 17
10/10 12.4/12.5
Comparison tests; Alternating series test
• Study: Section 12.5
• Do: Webwork day8 (due Monday, 10/13)
• Practice problems: Section 12.5 # 3, 5, 7, 13, 23
Week 4
10/13 12.6
Absolute convergence; Ratio test; Root test
• Study: Section 12.6
• Do: Webwork day9 (due Wednesday, 10/15)
• Practice problems: Section 12.6 # 3, 5, 9, 11, 13, 21
10/15 12.8
Power series
• Study: Section 12.8
• Do: Webwork day10 (due Friday, 10/17)
• Practice problems: Section 12.8 # 3, 5, 19, 25
10/17 12.9
Representations of functions as power series
• Study: Section 12.9
• Do: Webwork day11 (due Monday, 10/20)
• Practice problems: Section 12.9 # 5, 7, 17, 23
Week 5
10/20 Review
10/20 Exam 1 Dartmouth 105
10/22 12.10
Taylor and Maclaurin series
• Study: Section 12.10
• Do: Webwork day12 (due Friday, 10/24)
• Practice problems: Section 12.10 # 5, 13, 15, 29, 33
10/24 12.10
Taylor and Maclaurin series
• Study: Section 12.10
• Do: Webwork day13 (due Monday, 10/27)
• Practice problems: Section 12.10 # 47, 51, 63, 65
Week 6
10/27 13.1/13.2
Coordinates and vectors in R^2 and R^3
• Study: Sections 13.1 and 13.2
• Do: Webwork day14 (due Wednesday, 10/29)
• Practice problems: Section 13.1 # 3, 7, 13, 15, 25, 29; Section 13.2 # 17, 23
10/29 13.3
Dot product
• Study: Section 13.3
• Do: Webwork day15 (due Friday, 10/31)
• Practice problems: Section 13.3 # 5, 7, 17, 23, 45
10/31 13.4
Cross product
• Study: Section 13.4
• Do: Webwork day16 (due Monday, 11/3)
• Practice problems: Section 13.4 # 5, 19, 29, 33
Week 7
11/3 13.5
Equations of lines and planes
• Study: Section 13.5
• Do: Webwork day17 (due Wednesday, 11/5)
• Practice problems: Section 13.5 # 3, 5, 7, 19, 29, 33
11/5 14.1/14.2
Vector functions, space curves, derivatives and integrals
• Study: Sections 14.1 and 14.2
• Do: Webwork day18 (due Friday, 11/7)
• Practice problems: Section 14.1 # 1, 5, 19, 21, 23; Section 14.2 # 9, 13, 19, 25
11/7 14.3/14.4
Arclength, velocity, acceleration
• Study: Sections 14.3 and 14.4
• Do: Webwork day19 (due Monday, 11/10)
• Practice problems: Section 14.3 # 1, 3, 5; Section 14.4 # 11, 13, 15, 23
Week 8
11/10 Review
11/10 Exam 2 Dartmouth 105
11/12 15.1/15.2
Functions of several variables, limits, continuity
• Study: Sections 15.1 and 15.2
• Do: Webwork day20 (due Friday, 11/14)
• Practice problems: Section 15.1 # 13, 55, 57, 59; Section 15.2 # 5, 9, 17
11/14 15.3
Partial derivatives
• Study: Section 15.3
• Do: Webwork day21 (due Monday, 11/17)
• Practice problems: Section 15.3 # 21, 31, 55, 63
Week 9
11/17 15.4
Tangent planes and linear approximation
• Study: Section 15.4
• Do: Webwork day22 (due Wednesday, 11/19)
• Practice problems: Section 15.4 # 3, 5, 25, 33
11/19 15.5, 15.6
Chain rule; directional derivative
• Study: Sections 15.5 and 15.6
• Do: Webwork day23 (due Friday, 11/21)
• Practice problems: Section 15.5 # 3, 5, 9, 11, 21; Section 15.6 # 5, 7, 9, 15
11/21 15.6
• Study: Section 15.6
• Do: Webwork day24 (due Monday, 11/24)
• Practice problems: Section 15.6 # 23, 25, 39, 41
Week 10
11/24 15.7
Maxima and minima
• Study: Section 15.7
• Do: Webwork day25 (due Monday, 12/1)
• Practice problems: Section 15.7 # 5, 9, 13, 15
11/23, 11/25 Thanksgiving break, no classes
Week 11
12/1 15.7
Maxima and minima
• Study: Section 15.7
• Do: Webwork day26 (due Wednesday, 12/3)
• Practice problems: Section 15.7 # 29, 31, 35, 47
12/3 Wrap-Up/Review