Calculus II Problem Section (Fall 2007)

  • Section Info:
        Math 2019.304 (Lewis): R 2:30-4:20PM in CB 1.112
        Math 2019.306 (Lewis): F 2:30-4:20PM in GR 3.302

  • TA: Nam Lam

  • Office: FO 1.615

  • Office Hours:

  • Email:

Announcements

I really enjoyed having you all in problem section. Have a good break and good luck in all of your future endeavors. -- NL


Handouts

You'll need a PDF reader such as Adobe Reader to read these files.

Calculus I Review Packet -- The first quiz will cover this material.
Selected solutions to the Calculus I Review

Exam 1 Material
Notes on 10.2 & 10.3
Polar Graphs
Area and Arc Length of Polar Functions
Lines and Planes
Exam 1 Review and solutions -- Work Problems 5a & 6a all the way through. On 5b, 6b, 7abc, set up the integral(s). Try the problems on your own before looking at the solutions.

Exam 2 Material
Ch 12 - Vector Functions -- These were written the last time I did Calculus II.
Ch. 12 Formulas -- This was the formula sheet I used in section. The last line is updated.
Homework 1 and solutions -- covers 12.4-12.5
Homework 2 and solutions -- covers 13.3-13.5
Notes on 13.6-13.8 -- Solutions to Problem 8,9,10 of the review are contained in here.
Exam 2 Review and solutions -- Try the problems on your own before looking at the solutions. In addition, be sure to look over Quiz 5,6,7 and Homework 1 and 2. I forgot to put a problem from 13.2 on the review. In section 13.2, you are only responsible for problems of the type "Show that the limit does not exist."

Exam 3 Material
Homework 3 [updated] and solutions -- covers 13.10 & 14.1. Here is a sample solution to Problem 3(e).
Homework 4 and solutions -- Quiz 9 covers 14.3, 8.8, and the "switch the order of integration" type problems from 14.1 (see HW 3).
Homework 5 -- Quiz 10 covers 9.1, 9.2, 9.3.
Notes on Series [VERSION 2.1] -- Solutions to most of the series problems on the review are somewhere in here.
[VERSION 2 -- I changed the solutions to the geometric series problems (pg. 9-11). The original was confusing. There's also an important note regarding what constitutes a correct solution.]
[VERSION 2.1 -- On page 9 about half way down, (first term -4/9) was incorrect in Version 2. It should read (first term -4/27).]
Exam 3 Review and solutions -- Try the problems on your own before looking at the solutions. In addition, be sure to look over Quiz 8,9,10. Homework 3,4,5 also might be useful.
ERRATA -- On page 9 of the solutions, I made a mistake. In the third line, the 1 and 2 should be a 2 and 7. I think the correct final answer should be -2385/8.

FINAL EXAM

Advice: Get an early start! Go over your old exams and quizzes. The old stuff (exam reviews, hw, etc.) on this website should also be useful. There is a lot of material. What should you focus on? Well, everything. Everything is fair game. With that said, though, if a particular topic/problem appears more than once (say on my exam review, on an actual exam, and on Dr. Lewis's review), then it's important, and the more times it appears, the more likely it will appear on the final.

Final Exam Review -- This Dr. Lewis's review (same one that is on WebCT). Answers are provided. If you want to see a detailed solution to a particular problem, feel free to ask (in person, by email, via the box below, telepathy, etc.). I'll write something up and post it.
Ch. 12, Prob 2a

Complex Numbers
Appendix F and Answers -- Here, you can download the appendix covering complex numbers. Answers to the odd problems are there too.
Notes on Complex Numbers -- DeMoivre's Theorem and the nth Roots Theorem will given to you on the exam. There's no need to memorize them. You do need to know how to apply them properly.


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