Math 131 - Spring 2010
Calculus II
Professor: Erika L.C. King
Email: eking@hws.edu
Office: Lansing 304
Phone: (315) 781-3355
Home Page
Office Hours: M 10:30am-Noon, W 3:00-5:00pm, Th 3:00-4:00pm, F 1:30-2:30pm and by appointment
Class Schedule: MWF 9:05-10:00am - Napier 201
Lab Schedule: T 1:30-2:55pm - Gulick 206A
Math TA Office Hours in Lansing 310: Su-Th 7:00pm-11:00pm
Course Syllabus
Course Grade Scale
READING/EXAM WEEK
Review Session: Wednesday, May 5th 11:00AM-NOON in Napier 201. Bring questions!
Office Hours:
- Wednesday, May 5th: 2:30PM-5:00PM
- Thursday, May 6th: 2:00PM-4:00PM
- Friday, May 7th: 3:00PM-4:30PM
- By appointment
Final Exam: Saturday, May 8th 7:00PM-10:00PM in Napier 201. Remember to bring
your journal to the exam to be turned in.
WEEK 15: May 3-4
There will be no quizzes this week! You are finished with them! :-)
Journal Homework for class Monday, May 3:
- Remember to think about what you might like to bring to the lab party.
- Read Section 9.5 in your text (pages 631-632 and 634-636)).
- Work the following problems in your journal (SHOW YOUR WORK): 9.5: 17, 19, 20, 21, 25, 27, 52, 53, 54,
57 (page 637).
- Optional journal problems: 9.5: 23, 50, 55, 67 (explain) (pages 637-638).
Journal Homework for lab Tuesday, May 4:
- Bring your book, notes and snacks to lab! We will do evaluations, review for the final and share tasty
treats.
- Reread Section 9.5 in your text (pages 631-632 and 634-636)). Pay careful attention to Example 7, which we
discussed in class. Isn't that wild!
- Read Section 9.6 in your text (pages 639-641 and 643-644). The second half of this section reviews how we
evaluate series and decide which test we might use to do so.
- Work the following problems in your journal (SHOW YOUR WORK): 9.6: 19, 22, 23, 26, 31, 33, 54, 57,
59, 63 (pages 645-646).
- Optional journal problems: 9.6: 25, 27, 29, 53, 55, 61, 89 (pages 645-647).
WEEK 14: April 26-30
I will be participating in an honors oral exam during my regular office hours on Thursday, April 29. Thus I
will be moving my office hours earlier. Office hours on Thursday, April 29 will be 1:30-2:30. Please let me know
if you have questions and feel free to email me.
Journal Quiz 10 on Tuesday, April 27th covering homework from Sections 9.2-9.4.
Quiz 11 on Friday, April 30th covering Sections 9.2-9.4 (what was covered in Tuesday's lab).
Journal Homework for class Monday, April 26:
- Read Section 9.3 in your text (pages 617-620). Pay special attention to the information on the history and
uses of the harmonic series (page 619). Neat stuff!
- Work the following problems in your journal (SHOW YOUR WORK): 9.3: 12, 27, 31, 33, 37, 39, 51, 81 (pages
620-623).
- Optional journal problems: 9.3: 41, 53, 79, 83, 85, 89 (pages 621-623).
Journal Homework for lab Tuesday, April 27:
- Bring your journal to lab for the Journal Quiz at 1:30pm! The quiz includes this assignment.
- Read Section 9.4 in your text.
- Work the following problems in your journal (SHOW YOUR WORK): 9.4: 8, 9
(can't compare this one to a geometric or p-series!), 11, 13, 17, 19, 55 (pages 628-629).
- Optional journal problems: 9.4: 12, 14, 59 (pages 628-629).
Journal Homework for class Friday, April 30:
- Read Section 9.4 in your text.
- Work the following problems in your journal (SHOW YOUR WORK): 9.4: 23, 24, 25, 27, 28, 47 (pages 628-629).
- Start reading Section 9.5 in your text.
- Work the following problems in your journal (SHOW YOUR WORK): 9.5: 1-4 (be sure to explain), 13 (pages
636-637).
- Optional journal problems: 9.4: 29-36 (page 628). These are good practice for recognizing how to approach
each series. Note that there may be more than one way to approach some of these!
WEEK 13: April 19-23
Due to a family committment, I will need to cancel my office hours on Thursday, April 22. Try to use my office
hours earlier in the week, but if you need to see me on Thursday, talk to me about making an appointment earlier in
the day. Please let me know if you have questions and feel free to email me.
Journal Quiz 9 on Tuesday, April 20th covering homework from Sections 9.1-9.2.
Quiz 10 on Friday, April 23rd covering Sections 9.1-9.2 (what was covered in Tuesday's lab).
Journal Homework for class Monday, April 19:
- A professor at Cornell has a column about mathematics in the New York Times each Monday. His goal is to give
the general public an idea about many key mathematical concepts. Last week he was
talking about derivatives! Click here to read it. Stay
tuned, because this Monday's article will be about integration.
- Start reading Section 9.2 in your text.
- Work the following problems in your journal (SHOW YOUR WORK): 9.2: 9, 19, 27, 45, 55, 56, 59, 63, 65, 74
(pages 612-613).
- Optional journal problems: 9.2: 17, 25, 41, 44, 53 (pages 612-613).
Journal Homework for lab Tuesday, April 20:
- Bring your journal to lab for the Journal Quiz at 1:30pm! The quiz includes this assignment.
- Read Section 9.2 in your text.
- Work the following problems in your journal (SHOW YOUR WORK): 9.2: 15, 16, 48, 67, 71, 77, 81, 83, 99, 109
(pages 612-615).
- Optional journal problems: 9.2: 13, 47, 61, 79, 85, 103(a)(b) (pages 612-614).
Journal Homework for class Friday, April 23:
- Read the next column from the Cornell mathematics professor. This one is about
integration!
- Review Example 2 in the text and work the following problems in your journal (SHOW YOUR WORK):
9.2: 35, 37 (pages 612-613).
- Start reading Section 9.3 in your text.
- Work the following problems in your journal (SHOW YOUR WORK): 9.3: 5, 7, 15, 23, 48 (pages 620-622).
- Optional journal problems: 9.3: 3, 13 (page 620).
WEEK 12: April 12-16
Our third exam, covering sections 8.1-8.5, 8.7 and 8.8, will be on Tuesday, April 13th in Gulick 206A, our
normal lab space. Remember to bring your journal to be turned in. Although chapter 9 is not on the exam, your journal
work should include all assignments through the one due Monday, April 12th.
There will be no quizzes this week.
Journal Homework for class Monday, April 12:
- Start reading Section 9.1 in your text.
- Work the following problems in your journal (SHOW YOUR WORK): 9.1: 15, 17, 19, 39, 41, 55, 117 (pages
602-604).
- Optional journal problems: 9.1: 37, 107 (pages 602-604).
- Catch up on all your journal work to prepare for the exam!
Journal Homework for lab Tuesday, April 13: Prepare for Exam 3! Have confidence in your abilities!!!
Journal Homework for class Friday, April 16:
- Read Section 9.1 in your text (pages 594-601).
- Start reading Section 9.2 in your text.
- Work the following problems in your journal (SHOW YOUR WORK): 9.1: 31, 35, 47, 53, 59, 61, 85, 87,
97(a), 109 (pages 602-604).
- Work the following problems in your journal (SHOW YOUR WORK): 9.2: 3, 5 (work on writing answers in
fraction form instead of decimal form to help look for patterns) (page 612).
- Optional journal problems: 9.1: 33, 89, 91, 101, 121 (this is cool stuff!) (pages 602-604).
WEEK 11: April 5-9
Journal Quiz 8 on Tuesday, April 6th covering homework from Sections 8.7-8.8.
Quiz 9 on Friday, April 9th covering Sections 8.7-8.8 (what was covered in Tuesday's lab).
Journal Homework for class Monday, April 5:
- Start reading Section 8.8 in your text.
- Work the following problems in your journal (SHOW YOUR WORK): 8.8: 9, 19, 21, 23, 29 (page 585).
- Optional journal problems: 8.8: 1, 3, 25, 31 (page 585).
Journal Homework for lab Tuesday, April 6:
- Bring your journal to lab for the Journal Quiz at 1:30pm! The quiz includes this assignment.
- Read Section 8.8 in your text (pages 578-584). Take a special look at Example 11. Gabriel's Horn has finite
volume, but infinite surface area. Isn't that cool!
- Work the following problems in your journal (SHOW YOUR WORK): 8.8: 27, 37, 43, 45, 85, 87
(pages 585-587); be sure to explain your answers for the last two.
- Optional journal problems: 39, 41, 71 (pages 585-586).
Journal Homework for class Friday, April 9:
- Work the following problems in your journal (SHOW YOUR WORK): 8.8: 47, 48 (page 585).
- Start reading Section 9.1 in your text.
- Work the following problems in your journal (SHOW YOUR WORK): 9.1: 7, 13, 29, 69, 71, 77 (pages
602-603).
- Optional journal problems: 9.1: 9, 11, 25, 27, 75 (pages 602-603).
WEEK 10: March 29-April 2
Since there is a colloquium at 4 on Wednesday, my office hours on Wednesday, March 31 will start earlier and
be from 2:00 until 3:45. My office hours on Friday, April 2 will also be moved slightly later to 2:00-3:00. As
usual, if you cannot make these times and have questions, please contact me to make another appointment.
Journal Quiz 7 on Tuesday, March 30th covering homework from Sections 8.4-8.5.
Quiz 8 on Friday, April 2nd covering Sections 8.4-8.5 (what was covered in Tuesday's lab).
Journal Homework for class Monday, March 29:
- Start reading Section 8.5 in your text.
- Read the handout from class.
- Work the following problems in your journal (SHOW YOUR WORK): 8.5: 9, 11, 15, 19, 29, 41, 45 (page 559).
- Optional journal problems: 8.5: 13, 17, 43 (page 559).
Journal Homework for lab Tuesday, March 30:
- Bring your journal to lab for the Journal Quiz at 1:30pm! The quiz includes this assignment.
- Read Section 8.5 in your text (pages 552-558).
- Work the following problems in your journal (SHOW YOUR WORK): 8.5: 23, 25, 31, 47, 49, 57 (page 560).
- Optional journal problems: 8.5: 21, 27, 32, 55 (page 559).
- Practice, practice, practice the different integration techniques and choosing which one to use!
Journal Homework for class Friday, April 2:
- Read Section 8.7 (pages 567-573). Remember that this is supposed to be review, so if it is not, spend extra
time reviewing the examples in the text and doing the optional problems. We will not be doing indeterminate
powers, so you can skip that portion...though they are really cool and if you haven't seen them before you should
investigate them!
- Work the following problems in your journal (SHOW YOUR WORK): 8.7: 7, 13, 27, 33, 37, 53, 57, 75, 91 and 93
(pages 574-576). Be sure to explain your answers to the true false questions. You need not do 57 part (a), just
do (b).
- Optional journal problems: 8.7: 9, 19, 21, 39, 51 and 61 (pages 574-575).
WEEK 9: March 22-26
Have a Great Spring Break!!!
I will be leaving for a conference after class on Friday, March 26th and so will not be able to have office hours
Friday afternoon. Please plan ahead and get your questions answered earlier in the week.
Journal Quiz 6 on Tuesday, March 23rd covering homework from Sections 8.1-8.4.
Quiz 7 on Friday, March 26th covering Sections 8.1-8.4 (what was covered in Tuesday's lab).
Journal Homework for class Monday, March 22:
- Read Section 8.3 (pages 534-539) in your text.
- Look back at Example 5 in Section 8.2 (page 529). This is an example of an integral with an odd power of
secant, when integration by parts is the best approach.
- Read the handout from class.
- Work the following problems in your journal (SHOW YOUR WORK): 8.3: 7, 9, 11, 15, 29 (hint: see II(c) on today's
handout), 31, 39, 67, 91, 95 (pages 540-541). Remember to use the simplest technique possible.
- Optional journal problems: 8.3: 17, 33, 37, 41, 69, 93(a) (page 540-541).
Journal Homework for lab Tuesday, March 23:
- Bring your journal to lab for the Journal Quiz at 1:30pm! The quiz includes this assignment.
- Review your exam, rework any problems you missed points on, and come see me as soon as possible with any
questions. This work need not be in your journal, but should be done soon!
- Start reading Section 8.4 in your text.
- Work the following problems in your journal (SHOW YOUR WORK): 8.4: 5, 15, 21, 23, 25, 29, 37
(page 549). Remember to check to see if trigonometric substitution is truly necessary.
- Optional journal problems: 8.4: 3, 13, 33, 35 (page 549).
Journal Homework for class Friday, March 26:
- Read Section 8.4 in your text (pages 543-548).
- Start reading Section 8.5 in your text.
- Work the following problems in your journal (SHOW YOUR WORK): 8.4: 31, 39, 41, 45, 46, 49, 51, 73
(pages 549-551).
- Optional journal problems: 8.4: 11, 43, 47, 63, 65, 81 (pages 549-551). Be sure to explain your true/false
answers.
WEEK 8: March 8-12
Our second exam, covering sections 5.8 and 7.1-7.4, will be on Tuesday, March 11th in Gulick 206A, our
normal lab space. Remember to bring your journal to be turned in.
There will be no quizzes this week.
Journal Homework for class Monday, March 8:
- Review the last example we were working on in class. Be sure the integral we set up makes sense to you. Evaluate
it. We will discuss this at the beginning of Monday's class
- Catch up on all your journal work to prepare for the on Tuesday!
- Read Section 7.4 in your text (pages 476-482).
- Work the following problems in your journal (SHOW YOUR WORK): 7.4: 39, 41, 43, 51, 59(a)-(c) (pages 484-486).
- Optional journal problem: 7.4: 44, 53 (pages 484-485).
Journal Homework for lab Tuesday, March 9: Prepare for Exam 2! Have confidence in your abilities!!!
Journal Homework for class Friday, March 12:
- Read Section 8.1 (pages 518-521) in your text. This should be a review of some techniques we have
used. Remember that the book skips some steps I expect you to show.
- Read Section 8.2 (pages 525-530) in your text.
- Work the following problems in your journal (SHOW YOUR WORK): 8.2: 13, 15, 19, 29, 51, 53 (you don't
need to check your answer with a graphing utility), 65, 83, 103(a)-(c) (pages 531-533). Be sure to read the
directions.
- Optional journal problems: 8.1: 11, 13, 21, 25, 47 (page 522). You may want to flip back to look at the
exercises from this section from time to time to remind yourself of the variety of integrals you can integrate
without the use of the techniques in the rest of chapter 8.
- Optional journal problems: 8.2: 21, 23, 25, 31, 33, 47, 55, 89 (pages 531-532).
WEEK 7: March 1-5
NOTE: Office hours on Thursday will be moved to 2:15-3:15. Please let me know if you would like to meet
and cannot make that time.
Journal Quiz 5 on Tuesday, March 2nd covering homework from Sections 7.2-7.4.
Quiz 6 on Friday, March 5th covering Sections 7.2-7.4 (what was covered in Tuesday's lab).
Journal Homework for class Monday, March 1:
- Review the last example we were working on in class. Be sure the integral we set up makes sense to you. Evaluate
it. Then set up the integral for the volume using the disk method. We will discuss this at the beginning of next
class and students will put their solutions on the board (feel free to start doing this as soon as you get to class).
- Start reading Section 7.3 (pages 467-471) in your text.
- Work the following problems in your journal (SHOW YOUR WORK): 7.3: 7, 9, 13, 15 (page 472-473).
- Optional journal problems: 7.3: 11, 17 (page 472).
Journal Homework for lab Tuesday, March 2:
- Bring your journal to lab for the Journal Quiz at 1:30pm! The quiz includes this assignment.
- Read Section 7.3 (pages 467-471) in your text.
- Start reading Section 7.4 in your text.
- Work the following problems in your journal (SHOW YOUR WORK): 7.3: 21, 25, 27, 33, 43, 49 (pages 472-474).
- Optional journal problems: 7.3: 23, 28 (page 472).
Journal Homework for class Friday, March 5:
- Prepare the arc length problem I put on the board at the end of Wednesday's class; be ready to present and discuss it.
- Read pages 476-479 of Section 7.4 in your text.
- Work the following problems in your journal (SHOW YOUR WORK): 7.4: 1, 7, 9, 13, 21(a)&(b), 23(a)&(b), 33
(pages 483-484). Unless specifically requested, you need not graph the functions in order to find the arc lengths.
- Optional journal problem: 7.4: 3, 11, 19, 31, 37 (pages 483-484).
WEEK 6: February 22-26
I will be unable to hold my regular office hour this Thursday. Instead I will be available from 11:50am until
12:35pm that day. Please let me know if you would like to meet and cannot make that time.
Journal Quiz 4 on Tuesday, February 23rd covering homework from Sections 5.8, 7.1 and 7.2.
Quiz 5 on Friday, February 26th covering Sections 5.8, 7.1 and 7.2 (what was covered in Tuesday's lab).
Journal Homework for class Monday, February 22:
- Read Section 7.1 (pages 446-451) in your text.
- Complete the examples from class and make sure you agree with my final answers. More importantly, make sure
all the set ups make sense.
- Work the following problems in your journal (SHOW YOUR WORK): 7.1: 21, 23, 29, 31, 43, 45, 63, 67
(pages 452-453).
- Optional journal problems: 7.1: 25, 69, 75 (this one is an interesting challenge!) (pages 452-454).
Journal Homework for lab Tuesday, February 23:
- Bring your journal to lab for the Journal Quiz at 1:30pm! The quiz includes this assignment.
- REWORK your exam! (You need not put this in your journal.) Come to office hours with any questions
you have.
- Start reading Section 7.2 (pages 456-460) in your text.
- Work the following problems in your journal (SHOW YOUR WORK): 7.2: 5, 9, 23, 27, 31, 35, 49, 53 (pages 463-464).
- Optional journal problems: 7.2: 33, 47 (page 464).
Journal Homework for class Friday, February 26:
- Read Section 7.2 (pages 456-462) in your text.
- Work the following problems in your journal (SHOW YOUR WORK): 7.2: 11, 15, 17, 21, 59 (pages 463-465). Draw the
appropriate regions for problem 59 as part of your solutions.
- Optional journal problems: 7.2: 13, 19, 70 (pages 463-466).
WEEK 5: February 15-19
Our first exam, covering sections 5.1-5.5, 5.7 and 5.8, will be on Tuesday, February 16th in Gulick 206A, our
normal lab space. Remember to bring your journal to be turned in.
There will be no quizzes this week.
Journal Homework for class Monday, February 15:
- Read Section 5.7 (pages 352-357) in your text. Check out Example 9 for the proof of the integral of secant. You
should now know how to integrate each trigonometric function - either by deriving the formula or by memorizing it
(formulas are listed at the top of page 357).
- Read Section 5.8 (pages 361-365) in your text. Don't worry about page 363 right now. We will talk about that more
after Tuesday's exam. Note the table of integration rules on page 364. You should know all of these, except 10-13. For
10-13, you may memorize them, but you should also know how to derive them.
- Work the following problems in your journal (SHOW YOUR WORK): 5.7: 11, 17, 23, 27, 35, 51, 53 (pages 358-359).
- Optional journal problems: 5.7: 13, 33, 37, 55 (pages 358-359).
- Note that not all the problems in Section 5.8 are inverse trigonometric problems!
- Work the following problems in your journal (SHOW YOUR WORK): 5.8: 7, 15, 17, 25, 29, 43, 47 (Explain!) (page 366).
- Optional journal problems: 5.8: 11, 13, 19, 23, 27, 49 (Explain!) (page 366).
Journal Homework for lab Tuesday, February 16: Prepare for Exam 1! Have confidence in your abilities!!!
Journal Homework for class Friday, February 19:
- Read pages 362-363 of Section 5.8 in your text (pages 331-338). Remember that I do expect to see the u-substitutions
that the book often skips. Start reading Section 7.1.
- Review the last example we worked on in class. Evaluate the integral we derived and see if your answer matches mine.
- Work the following problems in your journal (SHOW YOUR WORK): 5.8: 35, 39, 40, 41 (page 366).
- Work the following problems in your journal (SHOW YOUR WORK): 7.1: 3, 7, 17, 19 (page 418).
- Optional journal problems: 5.8: 5, 12, 33 (pages 366).
WEEK 4: February 8-12
Journal Quiz 3 on Tuesday, February 9 covering homework from Sections 5.3-5.5.
Quiz 4 on Friday, February 12th covering Sections 5.3-5.5 (what was covered in Tuesday's lab).
Journal Homework for class Monday, February 8:
- Read Section 5.4 in your text (pages 318-320 and 324-326)).
- Work the following problems in your journal (SHOW YOUR WORK): 5.4: 33, 35, 41, 49, 69, 81, 85, 89, 93, 99, 109
(pages 327-330). Be sure to explain your answers and/or show steps.
- Optional journal problems: 5.4: 37, 43, 45, 67, 71, 91, 95 (pages 327-329).
Journal Homework for lab Tuesday, February 9:
- Bring your journal to lab for the Journal Quiz at 1:30pm! The quiz includes this assignment.
- Read side one of the u-substitution hand-out from class.
- Read Section 5.4 in your text (pages 318-320 and 324-326)) again. Start reading Section 5.5.
- Work the following problems in your journal (SHOW YOUR WORK): 5.4: 101, 103 (page 329).
- Note that not all the problems in Section 5.5 require u-substitution! Try other methods first.
- Work the following problems in your journal (SHOW YOUR WORK): 5.5: 5, 17, 19, 25, 35 (you are given the derivative of
y and want to find out what y could be), 65, 77 (pages 340-341).
- Optional journal problems: 5.4: 116 (page 330); 5.5: 23, 29, 31, 51 (pages 340-341).
Journal Homework for class Friday, February 12:
- Read Section 5.5 in your text (pages 331-338). You can skip page 336. It is wonderful if you can see the pattern they
describe, but I will want you to show me all the work...since I can't see into your mind! :-) Remember: being able to
explain it to someone else is a key to truly understanding!
- Work on the integrals on the back of your u-substitution handout. You need not put these in your journal, but they are
good practice! You should work u-substitution problems until you feel really comfortable with them. Start with the journal
assignment below, but continue with more odd numbered problems until they feel like second nature.
- Work the following problems in your journal (SHOW YOUR WORK): 5.5: 57, 69, 75, 83, 89, 103, 107, 137, 139, 161, 163
(pages 341-344). Be sure to justify why a function is even
or odd if you use that property. Also be sure to read the directions and explain your true/false choices.
- Optional journal problems: 5.5: 59, 67, 91, 93, 135, 140 (pages 341-342).
WEEK 3: February 1-5
Journal Quiz 2 on Tuesday, February 2 covering homework from Sections 5.2 and 5.3.
Quiz 3 on Friday, February 5th covering Sections 5.2 and 5.3 (what was covered in Tuesday's lab).
Journal Homework for class Monday, February 1:
- Read pages 301-303 of Section 5.2 in your text. Start reading Section 5.3.
- Work the following problems in your journal (SHOW YOUR WORK): 5.2: 47, 53 (page 305);
5.3: 11, 15, 19 (page 314).
- Optional journal problems: 5.2: 55 (page 305); 5.3: 13, 21 (pages 314-315).
Journal Homework for lab Tuesday, February 2:
- Bring your journal to lab for the Journal Quiz at 1:30pm! The quiz includes this assignment.
- Read Section 5.3 in your text, especially pages 307-311.
- Work the following problems in your journal (SHOW YOUR WORK): 5.3: 5, 7, 27, 31, 47, 73 (pages 314-317).
- Optional journal problems: 5.3: 29, 48, 53 (pages 315-316).
Journal Homework for class Friday, February 5:
- Finish reading Section 5.3 in your text (pages 307-314).
- Start reading Section 5.4 in your text (pages 318-320), including the exploration box on page 318!
- Work the following problems in your journal (SHOW YOUR WORK): 5.3: 33, 39, 41, 49, 55, 65, 66 (pages 315-317).
These ask you to use the properties of integrals we discussed in class on Monday and in lab on Tuesday. You should NOT
be using the Fundamental Theorem of Calculus for any of these. Read the directions carefully. Remember to defend your
answers for the true/false questions.
- Work the following problems in your journal (SHOW YOUR WORK): 5.4: 11, 15, 23 (page 327). Now use the Fundamental
Theorem of Calculus on these! Yea!
- Optional journal problems: 5.3: 37, 43, 51 (explain!) (pages 315-316); 5.4: 13, 21, 25 (page 327).
WEEK 2: January 25-29
Remember to keep your appointments!!!
Note that some of your individual appointments are scheduled during part of my Wednesday office hours,
so my open office hours on Wednesday are slightly different this week; they are 3:30-5:00.
I will need to leave early on Friday to take care of my sons, so I will need to move my office hours on Friday.
They will be from 11:00am until noon. Please let me know if you need to see me and cannot make this time.
Journal Quiz 1 on Tuesday, January 26th covering homework from review and sections 5.1 and 5.2.
Quiz 2 on Friday, January 29th covering Sections 5.1 and 5.2 (what was covered in Tuesday's lab).
Journal Homework for class Monday, January 25:
- Read Section 5.1 in the text (pages 284-291). Carefully read through the proof of Theorem 5.1 on page 284,
which uses the Mean Value Theorem. Isn't it neat?!
- Work the following problems in your journal (SHOW YOUR WORK): Section 5.1 exercises (pages 291-294):
23, 39, 41, 47, 51, 69 (here we need to integrate twice;
also look at page 289 for suggestions), 77 (check out page 290), 97 and 99 (don't just copy the book's
answers - explain!).
- Optional journal problems: Section 5.1 exercises (pages 291-294): 11, 25, 33, 35, 49, 67. You should become VERY
comfortable with these basic antidifferentiation skills. Do as many of problems 15-44 as you need to in order to
become comfortable.
Journal Homework for lab Tuesday, January 26:
- Bring your journal to lab for the Journal Quiz at 1:30pm! The quiz includes this assignment.
- Finish the example we were workin on in class. Bring your solution and/or questions to lab.
- Read pages 295-296 of Section 5.2 in your text.
- Work the following problems in your journal (SHOW YOUR WORK): 5.2 (pages 303-304): 9, 11 (these are asking you to think
backwards from what we did in class), 35, 37, 43, 44.
- Optional journal problems: 5.2 (pages 303-304): 7, 13, 32, 38.
Journal Homework for class Friday, January 29:
- Read pages 297-301 of Section 5.2 in your text. The text approaches the area problem in a slightly
different way than we began it. How is it different? What is the general idea behind their approach?
- Work the following problems in your journal (SHOW YOUR WORK): 5.2: 25, 27, 63 (here instead of using right
endpoints, we use midpoints), 73 (be sure to explain your choice) (pages 304-305).
- Work the following problem in your journal (SHOW YOUR WORK): Estimate the area of the region under the graph
f(x)= [the square root of (1-x^2)], from x=0 to x=1 using FIVE approximating rectangles and right endpoints.
- Optional journal problems: 5.2: 29, 45 (page 304).
WEEK 1: January 20-22
Welcome to Calculus II!!!
Quiz 1 on Friday, January 22 covering Calculus I, particularly those topics on the handout from class.
Collected Homework (Due Friday, January 22 at 9:05am):
- Write an autobiographical essay as assigned on the
syllabus.
Journal Homework for class Friday, January 22:
- Read the syllabus. We went through most of this in class,
but you should make sure you have read all the details and don't have any questions about it. Also
be sure to record the exam dates in your personal calendar/planner. Remember there are no make-ups.
- Familarize yourself with this website. Note that there is a link at the top of the page to our syllabus, should you
lose the yellow one I handed out in class. The syllabus has a lot of vital information on it and you will likely want to
refer back to it regularly. Also at the top of the page is a link to my grade scale. This will let you
know what percentage you need to earn in order to obtain specific grades.
- Complete the handout from class. You can do your work on the handout; it need not be in your journal. This should be
a quick review of some of the topics from Calculus I. If this is difficult for you or takes you a lot of time, speak
with me immediately. Check your answers with the key hanging on the bulletin board outside my office. Note the kind of
work that I expect to see for complete solutions as well as whether the final answer is correct. How you get there is
more important than the final answer!
- Review Chapters 1-4 in the text. (This covers pages 1-282.) This is the material that you
should feel comfortable with. Pages 21-22 list some of the graphs I expect you to know and page 179
(also in the inside front cover of your text) lists derivatives you should be able to recall
quickly. Unlike usual reading assignments, I do not expect you to read all 282 pages of this; just
flip through to remind yourself and stop at topics which are more challenging for you.
- Work the following problems in your journal (SHOW YOUR WORK): Chapter 3 Review Exercises (pages
197-199): 7, 53, 91. Chapter 4 Review Exercises (pages 279-280): 39, 41, and 63 (this last one has a lot of parts; see
section 4.6 for details).
- Optional journal problems (You should feel comfortable doing these, but you need not include them
in your journal. When I grade your journal, I will give bonus points for having a certain number of extra problems
completed): Chapter 3 Review Exercises (pages 198-199): 47, 83, 121. Chapter 4 Review Exercises (page 279): 29, 38. If
you are still feeling rusty on some of this material, DO MORE! And please let me know if you have questions.
Erika L.C. King
Last modified: Wednesday 5 May 13:19:30 EDT 2010