# Math 41 Autumn 2013

 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,
• 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.

## List of Weekly Homework Assignments

Please see above for Weekly Homework policies.
1. Due Tuesday, Oct. 1. Solutions (pdf)
• 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. 8. Solutions (pdf)
• 2.2: #14
• 2.3: #16, 22, 24, 38
• Appendix D: #9, 12, 16
• 2.4: #36, 40
• 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 $\frac{\sin x}{x}$ as $x$ approaches 0 from the right.
3. Due Thursday Oct. 17 (but try these before Tuesday's exam). Solutions (pdf)
• 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. 22. Solutions (pdf)
• 3.4: #12, 36, 56, 64
• 3.5: #16, 30 (skip part c), 32
• 3.7: #16, 32, 44
5. Due Tuesday, Oct. 29. Solutions (pdf)
• 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. 7 (but try these before Tuesday's exam). Solutions (pdf)
• 4.3: #28, 34, 38, 60
• 4.6: #14, 38, 52
• Page 328: #4
7. Due Tuesday, Nov. 12. Solutions (pdf)
• 4.3: #64, 66
• 4.5: #4, 36, 38, 40, 74
• 4.7: #4, 24, 30
8. Due Tuesday, Nov. 19. Solutions (pdf)
• 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. 3. Solutions (pdf)
• 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). Solutions (pdf)
• 5.6: #8, 10, 13, 26, 33

Autumn 2013 -- Department of Mathematics, Stanford University