Math 41
Fall 2011

About homework

• Daily homework should be done after each lecture, on the same day as the lecture. It serves as a review of the lecture material and your opportunity to really figure out what's going on. It consists of a short homework assignment and previous years exam problems corresponding to that day's lecture. The daily homework will not be collected, but you should come to the next discussion section meeting prepared to present solutions to problems you could do and ask specific questions about problems you couldn't do. You are free to work with as many other students as you like on daily homework, and ask questions about it in office hours. Note that you should also be reading the textbook sections as you do the daily homework -- the examples are a great help, and there may also occasionally be important material covered there that there isn't time for in lecture.
  Some daily homework problems will have a * in front of the number. These are more challenging problems which we don't necessarily expect most students to be able to solve, but which are good for you to try and think hard about.


• Weekly homework should be done after you've mastered the daily homework on the same material. It serves as your opportunity to make sure you can not only solve the problems, but explain your solutions carefully (this is the only way to be sure you really understand them!), as well as get some feedback on your work. Weekly homework is to be done on your own, so that you can make sure before the exam that you can do these problems by yourself without help from fellow students. You can discuss "ideas" with your classmates, but every student must write their own solutions. Weekly homework will not be discussed in sections, and only hints will be given on weekly homework problems in office hours. However, feel free to ask about similar problems. The Honor Code applies to this and all other graded aspects of the course.
  The weekly homework is intended to be preparation for the exams (and daily homework is your main preparation for the weekly homework). Remember that even though it is graded, all of the weekly homework counts toward your final grade about as much as three problems on a midterm.
  As mentioned above, your solutions to weekly homework should be carefully and clearly explained, and they will be graded partly on that basis. It's your job to explain your answer to the grader, not the grader's job to search for a right idea buried in what you wrote. Also, the graders will consider anything illegible to be wrong.


• Logistics: The weekly take-home quizzes must be turned in to your TA -- you will not receive credit for work turned into another section leader. If you're unable to turn in your homework in section, slide it under your TA's office door. The deadline is 3:15 p.m. on the given due date, and no late homework will be accepted under any circumstances. This is as much a courtesy to the grader as an incentive to stay current with the course and not fall behind. To accommodate exceptional situations such as a serious illness, your lowest two homework scores will be dropped at the end of the quarter. Solutions will be posted on this page right after the deadline.

Daily homework is not collected, but it is recommended that you try at least some of the problems for practice every lecture day. Answers to odd-numbered problems are at the end of the textbook. Sections refer to the textbook and numbers to the the exercises at the end of that section.

• September 26
• 1.1: #1, 7, 41, 43, 59, 63, 73
• 1.2: #3, 5, 15
• 1.3: #1, 3, 19, 33, 35, 41, 47, 51


• September 28
• 1.5: #1, 13, 19, 23, 29, 35 (graphing calculator portions optional)
• 1.6: #3, 11, 22, 31, 41, 51, 55
• Fall 2008 exam 1 #3(d) and (e)


• September 30
• 2.2: #1, 5, 15
• 2.3: #1, 9, 21, 35, 37, 47
• Fall 2007 exam 1 #2(a). Fall 2006 exam 1 #2(a) and (c)


• October 3
• 2.3: #29
• 2.4: #3, 11, 23, 31, 35, 43, 51
• Fall 2009 exam 1 #2(c), 4(a). Fall 2006 exam 1 #1(5th question)


• October 5
• 2.5: #3, 19, 21, 23, 27, 33, 47, 49
• Page 165: #13 (bottom of page, not top)
• Fall 2008 exam 1 #1(b),(c) and (d), 3


• October 7
• 2.6: #7, 11, 17, 37, 43ab, 45, 47, 53
• Fall 2007 exam 1 #5,9. Fall 2009 exam 1 #2(d)
• Note: For now, use only the methods of these sections, not differentiation shortcuts you might have seen elsewhere.


• October 10
• 2.7: #3, 7, 27, 35, 41, 49b
• 2.8: #7, 23, 27, 29
• Fall 2008 exam 1 #5, 10
• Note: For now, use only the methods of these sections, not differentiation shortcuts you might have seen elsewhere.


• Solutions to Chapter 1 review problems.
• Solutions to Chapter 2 review problems.


• October 12
• 3.1: #19, 21, 69, 71
• 3.2: #5, 9, 45, 55
• 3.3: #13, 19, 35
• Fall 2006 exam 1 #9


• October 14
• Fall 2007 exam 1 #7,10. Fall 2006 exam 1 #7.
• This is just a sample. You can try to do any problem from the previous years Exam 1, with the exception of those about the delta-epsilon definition of limits.


• October 17
• 3.4: #1, 13, 19, 21, 27, 31, 49, 53
• Fall 2009 exam 2 #1(a),(b). Fall 2008 exam 2 #1(a),(b). (But you need to know the derivatives of inverse trigonometric functions and logarithmic functions, which you can find in Sections 3.6 and 3.7 or in the Reference page 5 at the back of your book)


• October 19
• 3.5: #11, 23, 27, 31
• Additional problem for 3.5: At what points does the curve in problem 23 have a horizontal tangent? (Answer: at (-1,2) and (1,-2).)
• 3.6: #19, 25, 39, 41
• 3.7: #5, 17, 19, 35, 39, 47
• Fall 2010 exam 2 #1(c). Fall 2007 exam 2 #1(c), 2.


• October 21
• 3.9: #5, 7, 17, 29, 33, 35
• Fall 2006 exam 2 #2. Fall 2008 exam 2 #3.


• October 24
• 4.1: #11, 13, 19, 25, 29, 35, 41
• Fall 2007 exam 2 #4. Fall 2009 exam 2 #3.


• October 26
• 4.2: #1, 3, 11, 33, 35, 43, 47, 55
• Fall 2010 exam 2 #6. Fall 2007 exam 2 #5.


• October 28
• 4.3: #1, 5, 7, 29, 33, 39, 63, 65
• Fall 2006 exam 2 #7. Fall 2008 exam 2 #6.


• October 31
• 4.6: #3, 11, 19, 23, 25, 31, 45, 53, 57, 59a
• Exercises Page 326: #63c, 65a
• Fall 2006 exam 2 #9.


• Solutions to Chapter 3 review problems.
• Solutions to Chapter 4 review problems.


• November 2
• Optimization problems and solutions.
• Fall 2009 exam 2 #8. Fall 2008 exam 2 #8.


• November 4
• 4.5: #1, 13, 19, 27, 31, 37, 41, 53, 65
• Fall 2010 exam 2 #5.


• November 7
• Fall 2009 exam 2 #2, Practice Exam B #6


• November 9
• 4.7: #1, 3, 5, 11, 27, 31 (You should use a calculator for problems 5, 11 and 31)
• Fall 2008 exam 2 #9, Final exam 2009 #5(d)


• November 11
• 4.8: #11, 25, 31, 39, 53, 55, 57a,b
• Fall 2008 exam 2 #10.


• November 14
• 5.1: #1, 3, 15, 21
• 5.2: #5, 7, 9, 17, 21, 23, 27
• Final exam 2009 #9(a),(b). Final exam 2010 #9.


• November 16
• 5.2: #47, 49, 51, 53
• Final exam 2008 #10.


• November 18
• 5.3: #7, 17, 23, 29, 31, 39, 43, 51, 53, 59
• Final exam 2010 #7. Final exam 2009 #9(c).


• November 28
• 5.4: #3, 5, 13, 17, 25, 31
• Final exam 2007 #3(c), 13


• November 30
• 5.5: #11, 19, 27, 31, 35, 47, 57, 61
• Final exam 2007 #11(a), (b), (c), (e), 14.


• December 2
• 5.6: #5, 7, 17, 21, 23, 25, 39, 45
• Final exam 2007 #11(d). Final exam 2006 #1(c), #3(c), (e) .


• Solutions to Chapter 5 review problems.


• December 5, 7 and 9
• 5.5: #36, 49, 55
• 5.6: #10, 13, 27
• Any question from any previous exam!

Weekly homework must be inside your discussion leader's office by 3:15pm on the due date. No late homework will be accepted under any circumstance. If your TA is not in the office, please slide your paper under the office door.

• Homework 1 due October 4th by 3:15pm. Solutions to homework 1.
• 1.1: #12, 32, 70 (skip the graphing calculator part)
• 1.2: #4, 18
• 1.3: #24
• 1.5: #22
• 1.6: #16, 26
• Page 88: #11 (explain your answer without a calculator)


• Homework 2 due October 11th by 3:15pm. Solutions to homework 2.
• 2.2: #14
• 2.3: #12, 22, 24, 38
• 2.4: #40, 53
• 2.5: #6, 20, 42 (skip the graphing calculator part; all asymptotes should be justified with limit calculations)


• Extra credit assignment about Appendix D. Optional, worth three questions to be added to your lowest homework. To be handed in before October 11th by 3:15pm in your instructor's office.
• Note: This assignment is not mandatory and this material was not covered in class. No time will be spent on Discussion Sections on these problems, but feel free to ask about them in office hours.


• Homework 3 due October 18th by 3:15pm. Solutions to homework 3.
• 2.6: #12, 52
• 2.7: #28, 44 (use only the methods of this chapter, not differentiation shortcuts from Chapter 3)
• 2.8: #16, 22
• 3.1: #52
• 3.2: #50
• 3.3: #8, 30


• Homework 4 due October 25th by 3:15pm. Solutions to homework 4.
• 3.4: #22, 34, 56, 64
• 3.5: #14, 30 (skip part c)
• 3.7: #12, 42


• Homework 5 due November 1st by 3:15pm. Solutions to homework 5.
• 3.6: #30
• 3.7: #44
• 3.9: #16, 36
• 4.1: #16, 28, 38
• 4.2: #36, 42


• Homework 6 due November 8th by 3:15pm. Solutions to homework 6.
• 4.3: #28, 34, 60, 64, 66 (Problem 60 should say "For what values of ...... have a local maximum at the point (2,1)?")
• 4.6: #14, 52, 58


• Homework 7 due November 15th by 3:15pm. Solutions to homework 7.
• 4.5: #38, 40, 66
• 4.7: #4, 24, 28 (use a calculator for 24b and 28)


• Homework 8 due November 29th by 3:15pm. Solutions to homework 8.
• 4.8: 18 (skip graphing), 56
• 5.1: #12, 20
• 5.2: #2, 22, 34, 38, 44, 48 (Do not use the Evaluation Theorem or the Fundamental Theorem of Calculus to solve them)


• Homework 9 due December 6th by 3:15pm. Solutions to homework 9.
• 5.3: #50, 56, 62, 72
• 5.4: #16, 20, 26
• 5.5: #28, 40 (skip graphing), 52


• Homework 10 No Due Date (but try these before the exam for practice). Solutions to Homework 10.
• 5.5: #36, 50, 55
• 5.6: #10, 13, 27