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MAT 132 Calculus II
Please try to read the assigned textbook section(s) before coming to class.
Do all exercises, turn in the bold ones from each problem set
at the first
recitation of the following week. This means
Monday for some
people, Tuesday for others, depending on what recitation section you
are in. Your recitation instructor will grade the homeworks and return
them to you. Only a few questions from each homework will be graded for
correctness; for the rest, your instructor will just check whether you've
done them. Each assignment will be worth 20 points total, with the questions graded for correctness contributing 15 points,
completion of other questions 5 points.
Note on non-bold exercises: Some students
tend to think these are not mandatory. This is not quite right. Non-bold exercises
are often easier versions of the bold ones, so figuring them out will help you
with the "mandatory" part of the homework. Besides, each exam will include one or two
questions very similar or even identical to some non-bold homework exercises. Please give a close look
to all non-bold exercises even if you aren't writing their solutions.
Please show all work on each exercise. Answers without explanations will receive little credit.
| Week | Sections | Homework |
| 8/31-9/4 | 8.1 sequences | 8.1: 3, 4, 6, 10, 11, 12, 18, 37, 40, 43, 44, 45
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| 9/8-9/11 | 8.2 series, convergence and divergence
8.3 Testing by Comparing only |
8.2: 1, 9, 11, 12, 14, 16, 17, 21, 22, 44ab, 49
8.3: 19,
22, 24
| | 9/14-9/18 | 8.2 and 8.3 more practice
8.4 Absolute Convergence, Ratio Test only |
8.2: 20
8.3: 3, 4, 14, 16, 17, 18, 21
8.4 2, 7, 20, 21, 24, 26, 33, 34 |
| 9/21-9/25 | 8.5 Power series, convergence and divergence
8.6 Writing functions as power series |
8.5: 1, 2, 3, 4, 14, 16, 18, 20, 21, 28
8.6: 1, 2, 4, 6, 8, 11 |
| 9/29-10/2 | 8.7 Taylor and Maclaurin series |
8.7: 1, 2, 4, 7, 9, 10, 12, 14, 20, 22, 24, 34, 42 |
| 10/5-10/9 | 8.4 Alternating series, review; Midterm I on 10/8 |
8.4: 1, 4, 6, 18
8.6: 4, 14: check convergence at endpoints! |
| 10/12-10/16 | 5.1-5.5 Basic integration review |
5.2: 1, 6, 32, 18, 49
5.3: 10, 12, 14, 20, 28
5.5: 14, 24, 42, 48, 49 |
| 10/19-10/23 | 5.6, 5.7 Integration by parts, a bit of trig, partial fractions |
5.6: 1, 14, 16, 18, 19, 20, 21, 26
5.7: 1, 9,
14, 16, 17, 18, 20, 21, 22 |
| 10/26-10/30 | 5.10 Improper integrals; 8.3 back to series: the Integral test |
5.10: 2, 8, 12, 14, 18, 26, 41, 44, 45, 48, 57
8.3: 6, 8, 15, 23, 27 |
| 11/2-11/6 | 6.4 Average value; 6.1 Areas between curves
review; Midterm on 11/5 |
6.4: 2, 3
6.1: 1, 2, 5, 14, 15, 16 |
| 11/9-11/13 | 6.2 Volumes; 6.3 Arc length |
6.2: 3, 4, 6, 8, 9, 10, 15, 25, 26, 27, 28
6.3 1, 2, 3, 7 |
| 11/16-11/20 | 7.1 Differential equations
7.2 Direction fields
| 7.1: 1,
2 , 4, 5, 7, 10,
12, 13
7.2: 1, 2, 3, 4, 5, 6, 11, 12
| | 11/23-11/24 | 7.3 Separable equations (no orthogonal trajectories
or mixing)
| 7.3: 1,
2 , 4, 7, 8, 10,
15, 16
| | 11/30-12/4* | 7.5 The logistic equation
Notes on second-order equations
| 7.2: 21, 22; 7.5: 1
Notes problems 1, 4, 5, 7, 8, 9, 10, 11, 12,
14, 16
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Review sheet of exam topics.
* The last homework is due in the second recitation of the last week of classes.
Handout with some extra examples on computing volumes.
There will be a quiz on volumes calculation next week (Nov 16-20). The quiz will be held
in the first recitation of the week for each section.
Handout on Taylor Series discussing examples similar to questions 8.7.12 and 8.7.14
Handout on some subtleties of the Integral test.
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