- (1/6) Welcome to math 242!
- (1/11) Here are scans of 6.1 and 6.2*
- (2/1) Exam 1 information is posted below. You can turn in solutions to the practice problems for extra credit!
- (2/3) The date for the review session for exam 1 has been changed to Wednesday 2/8.
- (2/17) Exam 2 information is posted below and will be updated in the coming days.
- (2/23) Problem 58 is no longer due in week 8 homework. I didn't get a chance to cover example 4 in 7.7, which is very helpful for this problem.
- (3/21) I removed problem 4 from week 9 homework because I read the instructions incorrectly. I thought it involved the divergence test, which we hadn't covered yet. The problem has nothing to do with the divergence test. This problem will be due in week 11 homework.
- (3/27) Here is a neat flowchart that will help you solve most convergence questions in this class.
- (4/2) The last few problems of week 12 homework were moved to week 13.
- (4/5) There is no recitation this Friday, it is a holiday. Enjoy your long weekend!
Math 242
Calculus II - Spring 2023
Meetings: TR 10:30-11:45 Kuykendall 301
Lecturer: Kenny Corea kcorea@[math.]hawaii.edu
Office Hours: MW 1:30-2:30, TR 12-1 Keller 402E
Recitations:
- section 007 F 8:30-9:20 Keller 301
- section 008 F 9:30-10:20 Kuykendall 305
Announcements
TAs / LAs / SI
| Name | Title | Office Hours / Meetings | |
|---|---|---|---|
| Sam Miller | Teaching Assistant | millers3 (at) math (dot) hawaii (dot) edu | MW 9:30-10:20 or by appt. Keller 403B |
| Erin Lausterer | Learning Assistant | erin20 (at) hawaii (dot) edu | MT 1:30-4:30 on Zoom |
| Franciska Sprok | Learning Assistant | sprokfra (at) hawaii (dot) edu | N/A |
| Ona Melvin | SI Leader | omelvin (at) hawaii (dot) edu | SI T 5-6 Sinclaire computer lab |
Homework
| Week | Problem Set | Due |
|---|---|---|
| 2 | 6.1 #2-12, 20*, 23-26, 31, 32, 36, 37, 38*, 39, 40, 43, 44*, 45, 46 | 1/17 |
| 3 |
6.2* #2-9, 11-16, 19, 20, 27, 29, 32, 34, 36, 61, 62*, 63, 64,
67, 70*, 72, 73, 74 6.3* #3-7, 17-22, 27, 28, 30, 31*, 32, 36, 41, 42, 44, 47, 48*, 86, 87, 89, 93*, 94 |
1/24 |
| 4 |
6.4* #3-10, 17, 18, 21-24, 26, 28, 29, 30, 33, 34*,
40, 42, 47, 46, 48, 50* 6.5 #1, 2, 3, 4*, 7, 8, 10, 15, 18* |
1/31 |
| 5 |
6.6 #1, 2, 5, 6, 22*, 23, 26, 27, 43, 45, 46, 62*,
64, 66, 67 6.8 #6, 13, 14, 15, 16*, 22, 32, 33, 37, 44, 46, 52*, 55, 56, 58*, 61, 63, 67 |
2/7 |
| 6 |
7.1 #3, 5, 7, 9*, 10, 18*, 22, 24, 27, 28, 34, 38, 40 7.2 #1, 2, 4, 8*, 11, 20, 21, 22, 23, 28, 33, 35, 36, 38*, 39, 40, 41, 42, 46, 48* |
2/14 |
| 7 |
7.3 #4, 5, 6, 8*, 9, 10, 11, 12, 13, 14, 27, 29 7.4 #3, 4, 5, 6, 7, 8, 9, 10, 11, 12*, 15, 16, 18, 21, 26, 30*, 31, 39, 40, 51, 54 |
2/21 |
| 8 |
7.7 #8, 10, 16, 19, 20, 21*, 29 7.8 #6, 7, 10, 12, 13*, 17, 18, 19, 20, 21, 22, 24*, 26, |
2/28 |
| 9 | 7.8 #27*, 28, 30, 31, 32, 35, 36, 38*, 40, 49, 50, 51, 52, 54, 58* | 3/7 |
| 10 |
11.1 #6, 7, 10, 12, 13, 14, 16, 18, 24, 25-28,
31*, 32, 33, 36, 37, 40, 41, 42, 43, 44*, 47, 48 11.2 #1, 2, 3, |
3/21 |
| 11 |
11.2 #4*, 49, 52, 53, 54*, 56 11.3 #1, 3, 4, 5, 6, 7*, 8, 9, 12, 14, 15, 17, 18*, 21, 22, 26, 29*, 31, 32 |
3/28 |
| 12 |
11.4 #3, 4, 5, 6, 7, 8, 9, 10, 11, 12*, 14, 15, 17, 18*, 26 11.5 #2, 3, 4, 5, 6*, 7, 8, 9, 10, 13, 14*, |
4/4 |
| 13 |
11.5 #24, 25, 27, 28* 11.6 #2, 3, 4, 5, 6, 7, 8, 9, 10, 13, 18, 20*, 22, 25, 26, 28*, 29, 32, 33, 34, 36*, 37 |
4/11 |
| 14 | 11.8 #3, 4, 5, 6, 7, 9, 11, 12*, 13, 14*, 15, 17, 18, 19, 20* | 4/18 |
| 15 |
11.9 #3, 4, 5, 6, 8, 9, 12, 15, 16, 17, 18*, 19, 26, 28, 29, 30 11.10 #5, 6, 7, 8, 12, 13, 14, 15*, 16, 19, 20, 22, 24, 25, 23, 35, 36, 37*, 54, 55, 58, 59, 61, 62, 65, 63*, 73, 74*, 75, 76, 77, 78, 79 |
4/25 |
| 16 |
11.11 #13, 14*, 15, 16, 21, 25, 26 9.1 #1, 2*, 5, 13 9.3 #1, 2, 3, 4, 5, 7, 9, 10, 11, 12*, 14, 16 9.5 #1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16*, 18, 19 | 5/2 |
Worksheets and Quizzes
| Week | Quiz Content | Files |
|---|---|---|
| 1 | no quiz week 1 | worksheet (solutions) |
| 2 | 6.1 and worksheet 1 | worksheet (solutions) quiz (solutions) |
| 3 | 6.2*, 6.3*, worksheet 2 | worksheet (solutions) quiz (solutions) |
| 4 | 6.4, 6.5, 6.6, and worksheet 3 | worksheet (solutions) quiz (solutions) |
| 5 | One integration by parts problem and one limit of an indeterminate type | worksheet (solutions) quiz (solutions) |
| 6 | One trig sub problem | worksheet (solutions) quiz (solutions) |
| 7 | One abstract PFD and one PFD integral | worksheet (solutions) quiz (solutions) |
| 8 | One type I improper integral and one \(S_n\) error estimation problem | worksheet (solutions) quiz (solutions) |
| 9 | Four limits of sequences | worksheet (solutions) quiz (solutions) |
| 10 | Geometric series and telescoping series | worksheet (solutions) quiz (solutions) |
| 11 | Testing series convergence using techniques from 11.2 and 11.3 | worksheet (solutions) quiz (solutions) |
| 13 | Absolute convergence, conditional convergence, or divergence | worksheet (solutions) quiz (solutions) |
| 14 | One problem just like in the week 13 worksheet | worksheet (solutions) quiz (solutions) |
| 15 | Computing a Maclaurin series using the definition | worksheet (solutions) quiz (solutions) |
Exams
Exam 1:
Corrections:
- The exam is Thursday 2/9.
- The exam covers chapter 6 (skip 6.7) and section 7.1
- You can expect problems similar to the homework, quizzes, and worksheets. Reworking these problems is a good idea.
- Here are some
practice
problems.
You can turn in solutions to these problems the day of the exam
for extra credit.
Corrections:- (4) The problem should say \(f'(2)=3\)
- Review session:
Tuesday 2/7Wednesday 2/8 5-6:30 in Keller 302.
- The exam is Thursday 3/9.
- The exam covers integration techniques 7.2-7.8 (skip 7.6).
- Again, you can expect problems similar to your homework, worksheets, and quizzes.
- Review session: Wednesday 3/8 5-6:30 in Keller 302
- Here is the formula sheet your will have during the exam. You do not need to print it, it will be provided to you.
- Here are some practice problems for exam 2. You can turn in solution to these problems the day of the exam for extra credit. Corrections:
- (1e): There is a missing \(x\) in the numerator.
- (5b): The term \(4x^2\) should be \(4x^4\).
- The exam is Thursday 4/13.
- The exam covers sequences and series convergence tests 11.1 though 11.7.
- Reviewing previous homework, quizzes, and worksheets is a good idea.
- Review session: Wednesday 4/12 5-6:30 in Kuykendall 209
- No formula sheet for exam 3.
- Here are your practice problems. Have fun! Corrections: none yet.
- The final will be held Wednesday 5/10 at 12pm in Bilger 150. We will be sharing the room with two other calc II sections. Bilger 150 is a large lecture hall with AC, so maybe bring a jacket.
- Tbe final will be cumulative.
- You should expect a formula sheet similar to the ones in the previous common finals.
- Here is the directory containing previous common finals.
- Below are solutions to some of the finals. Let me know if you find mistakes.
| Fall 2015 | exam ( solutions ) |
| Spring 2016 | exam ( solutions ) |
| Fall 2016 | exam ( solutions ) |
| Spring 2017 | exam ( solutions ) |
| Spring 2018 | exam ( solutions ) |
| Fall 2018 | exam ( solutions ) |
| Spring 2019 | exam ( solutions ) |
| Fall 2019 | exam ( solutions ) |
| Spring 2022 | exam ( solutions ) |
| Fall 2022 | exam |
- Spring 2019 #1 there is a sign error.
- Fall 2019 #13 the derivatives are incorrect. And we should estimate \(R_3(x)\) not \(R_4(x)\).
Links
- Fall 2022 Math 242
- Wolframalpha
- Paul's Online Notes
- Khan Academy:
- Free tutoring: