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 |
Gradient
- 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 |