Math 41 Autumn 2014

Home Schedule Section Assignments Office Hours Homework Exams

Description and Policies

Problems from the textbook and other handouts will serve one of two purposes in Math 41: as uncollected Daily Discussion Problems or as graded Weekly Homework. Each is handled in a different way and has a different purpose.

About Daily Discussion Problems (Quick Jump to List): Each time we cover a topic, we will list below the corresponding text section and also some "discussion problems" that will help direct the discussion in the upcoming Tuesday/Thursday section meetings. Some may be similar to problems from weekly homework assignments, and problems from prior years' exams will give you an idea of the level of exam questions. You should try working these discussion problems immediately after reading the book section(s) being covered in lecture. For complete understanding of the course material, be sure that you understand both the discussion problems and the weekly homework problems, in addition to all examples from the readings. (Work on daily discussion problems will not be collected.)

About Weekly Homework (Quick Jump to List): Completing homework assignments is an essential part of this course. Problems are designed to reinforce concepts covered in lecture as well as to encourage students to explore implications of the results discussed in class. Very few students will be able to go through the entire course without struggling on many problems, so do not be discouraged if you do not immediately know how to solve a problem. In confronting difficult questions you should consider how the problem at hand connects to topics, definitions and/or theorems discussed in class.

When you have worked on a problem for a while and remain stuck, you are encouraged to ask for hints from your instructor or TA. Students may also discuss problems with one another, but must write solutions on their own. In particular if you have taken notes while discussing homework problems with friends or instructors, you must put these notes away when writing your solution. The Honor Code applies to this and all other written aspects of the course. Be warned: watching someone else solve a problem will not make homework a good preparation for tests. Don't get caught in the trap of relying on others to get through homework assignments.

Students are expected to take care in writing their assignments. For instance,
  • never forget to put your name, your section number and your TA's name on the top of your work;
  • assignments should be written neatly;
  • assignments should contain clear, complete solutions; and
  • completed assignments which contain multiple pages should be stapled for easy grading -- one point will be deducted for not doing this.
  • For a guide to solution completeness, see this handout of sample writeups for homework and exam problems.

    Partial progress toward solutions on problems will be awarded partial credit, but simply writing answers down without justification will receive zero credit. Please note that usually only a portion of each week's problems will be scored; the selection of problems chosen to be graded will not be announced in advance.

    Logistics for Weekly Homework: Assignments must be turned in to your TA (discussion section leader) -- you will not receive credit for work turned into another section leader. The deadline is the beginning of your discussion section 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 homework score will be dropped at the end of the quarter. Solutions will be posted on this page.

    Students are encouraged to pick up their graded homework assignments promptly; please make arrangements with your TA to pick it up outside of class (or via electronic scan if absolutely necessary) if you cannot attend the discussion section on the day the homework is returned. It is ultimately your responsibility to look over your graded assignment while consulting the posted solutions, not only to check your understanding but also to find any grading errors or mis-typed entries in your CourseWork grade record. If you find an error in how an assignment was graded or recorded, please appeal to your section leader (who has final authority on all homework appeals). If more than a week has passed since an assignment was returned in section, your CourseWork score entry for that assignment can no longer be changed.

    List of Daily Discussion Problems

    • Getting started:
      • Read the Section Assignments to determine which discussion section you should attend starting Tuesday. Note: you cannot use Axess to sign up for a discussion section, only a lecture. You must use CourseWork to make your discussion section choice -- and the chart on the page linked above will show you the options for times.
      • Look at the Course Schedule. Make sure you know when the three exams are (not during the lecture time or in the regular classroom) and when the weekly homeworks are due. If you have a conflict with one of the two midterm exam times, contact us as soon as you know about it. (The final exam's date and time cannot be changed.)
      • Look over the course web page and get to know what information is there. Read all the General Information on the home page (including the section "About this class") and the About homework section above so you know the course policies and logistics.
      • Look at the links at the very bottom of the course home page and follow the suggestions there about reading those pages.
      • Read sections 1.1 through 1.3 -- this is probably old familiar stuff, but we won't cover it all in lecture, so make sure you've seen it all.
    • Section 1.1:
      • #1, 7, 41, 43, 61, 63, 73
    • Section 1.2:
      • #3, 5, 15
    • Section 1.3:
      • #1, 3, 19, 27, 35, 43, 47, 51
    • Section 1.5:
      • #1, 4, 13, 19, 23, 29, 35 (graphing calculator portions optional)
    • Section 1.6:
    • Section 2.2:
      • #1, 5, 15
    • Section 2.3:
    • Fall 2009 Final Exam #7a,b,c
    • Fall 2008 Exam 1: #2
  • Section 2.4:
  • Section 2.5:
  • Section 2.6:
    • #7, 11, 17, 37, 43ab, 45, 47, 53
    • Note: For now, use only the methods of these sections, not differentiation shortcuts you might have seen elsewhere.
    • Fall 2007 Exam 1 #9
    • Fall 2009 Exam 1 #6
  • Section 2.7:
  • Section 2.8:
  • Section 3.1:
  • Section 3.2:
  • Section 3.3:
  • Section 3.4:
    • #1, 13, 19, 21, 27, 31, 49, 53
    • Notes: In reading Section 3.4, skip the sub-section called "Tangents to Parametric Curves," which starts after Example 9 and ends on page 204.
  • Section 3.5:
    • #11, 23, 27, 31
    • Additional problem: At what points does the curve in problem 23 have a horizontal tangent?
  • Section 3.6:
    • #19, 25, 39, 41
  • Section 3.7:
    • #5, 17, 19, 35, 39, 47
  • Section 3.9:
    • #5, 7, 17, 29, 33, 35
  • Section 4.1:
    • #11, 12, 13, 14, 19, 25, 29, 35, 41
  • Section 4.2:
    • #1, 3, 11, 33, 35, 43, 47, 55
  • Section 4.3: (except for Mean Value Theorem, which we'll cover later)
    • #5, 7, 29, 33, 39
  • Section 4.6:
    • #3, 11, 19, 23, 25, 31, 45, 53, 57, 59a
    • Exercises Page 326: #63c, 65a
    • Notes: Chapter Review problems (like those on page 326) have full solutions available here.
    • Keep in mind that some topics on prior-year second midterms, such as l'Hospital's Rule, the Mean Value Theorem, Newton's Method, and Antidifferentiation, are not going to be covered on November 4th's midterm exam (they'll be on our final exam instead).
  • Section 4.5:
    • #1, 13, 19, 27, 31, 37, 41, 53, 65
  • Section 4.3: (Mean Value Theorem topic, p272-3)
  • Section 4.7:
  • Section 4.8:
  • Section 5.1:
    • #1, 3, 15, 21
    • Note: We will use sigma notation throughout the next three weeks; see Appendix F for a review.
  • Section 5.2:
  • Section 5.3:
  • Section 5.4:
  • Section 5.5:
  • Section 5.6:
  • List of Weekly Homework Assignments

    Please see above for Weekly Homework policies.
    1. Due Tuesday, Sep. 30.
      • 1.1: #12, 32
      • 1.2: #4, 16
      • 1.3: #6, 24, 48, 62
      • 1.5: #22
      • 1.6: #16, 26, 56
      • Page 88: #6, 11 (explain your answer without a calculator), 12(a)
    2. Due Tuesday, Oct. 7.
      • 2.2: #14
      • 2.3: #16, 22, 24, 38
      • Appendix D: #9, 12, 16
      • 2.4: #36, 40 (typo in #36, it should say 2 less than or equal to x < 3)
      • 2.5: #10, 16, 34, 38c, 42 (skip the graphing calculator portions; all asymptotes should be justified with precise limit calculations, including one-sided limits if needed)
      • Additional Problem (required): It is a fact from trigonometry, which you do not have to prove, that sin(x) < x < tan (x) for all x in the interval (0,pi/2). Use this fact to determine the limit of sin(x)/x as x approaches 0 from the right.
    3. Due Thursday Oct. 16 (but try these before Tuesday's exam).
      • 2.6: #10ab, 50, 54 (use only the methods of this chapter, not differentiation shortcuts from Chapter 3)
      • 2.7: #26, 36 (use only the methods of this chapter, not differentiation shortcuts from Chapter 3)
      • 2.8: #16, 24, 32
      • 3.1: #18, 48, 54 (skip the graphing calculator part)
      • 3.2: #46, 57
      • 3.3: #8, 22
    4. Due Tuesday, Oct. 21.
      • 3.4: #12, 36, 56, 64
      • 3.5: #16, 30 (skip part c), 32
      • 3.7: #16, 32, 44
    5. Due Tuesday, Oct. 28.
      • 3.6: #26, 40
      • 3.9: #18, 22, 32, 36
      • 4.1: #20, 28, 34, 40
      • 4.2: #32, 36, 52, 66
    6. Due Thursday Nov. 6 (but try these before Tuesday's exam).
      • 4.3: #28, 34, 38, 60
      • 4.6: #14, 38, 52
      • Page 328: #4
    7. Due Tuesday, Nov. 11.
      • 4.3: #64, 66
      • 4.5: #4, 36, 38, 40, 74
      • 4.7: #4, 24, 30
      • Notes: For 4.7 #24b and 30, you'll need a calculator.
    8. Due Tuesday, Nov. 18.
      • 4.8: #16, 28, 34, 38, 55, 56
      • 5.1: #20
      • 5.2: #8, 22, 28, 32, 44, 48, 52
      • 5.3: #52, 62
      • Tip for 4.8 #56: Treat "downward" as the positive direction.
      • Notes: Do not use the Evaluation Theorem (Fundamental Theorem of Calculus) to solve problems in section 5.2; use only the area and limit properties of the definite integral introduced in that section.
    9. Due Tuesday, Dec. 2.
      • 5.3: #24, 26, 28, 50, 72
      • 5.4: #12, 20, 22, 30
      • 5.5: #10, 22, 30, 50, 60, 68
      • Note: This is the last homework due to turn in; during the last week of classes we'll post solutions to a brief "mock" assignment covering Section 5.6, which is the last topic covered on the course final exam.
    10. No due date (but try these before the final exam).
      • 5.6: #8, 10, 13, 26, 33

    Autumn 2014 -- Department of Mathematics, Stanford University