Math 1B - Calculus - Spring 2013

Homework Assignments and solutions; reading assignments.

1. Study sections 7.1--7.2 of our text by Friday 1/25.
   
2. Study section 7.3 by Monday 1/28.
   
3. Section 7.1: Problems 5,7,11,15,17,40,41,48,50,51 (due Wednesday 1/30)
   
4. Section 7.2: Problems 2,6,7,10,19,24,31,33,43,48,69 (due Wednesday 1/30)
   
5. Section 7.3: Problems 1,4,7,15,25,33,35,43 (due Wednesday 1/30)
   
6. Study sections 7.4, 7.5 by Friday 2/1.
   
7. Section 7.4: Problems 7,10,28,35,39,45,46,54,60 (due Wednesday 2/6)
   
8. Section 7.5: Problems 3,8,14,21,29,30,47,66,67,73,82 (due Wednesday 2/6)
   
9. Solutions for problem set 1. (7.1,7.2,7.3)
10. You need not read section 7.6.
11. Study section 7.7, for Monday 2/4 if possible. This section is conceptually more challenging than the others which we have studied so far. Reading it before the lecture will be helpful. (For Monday, concentrate on the left and right endpoint methods, and the midpoint rule. We'll get to Simpson's rule on Wednesday.)
12. Section 7.7: Problems 2,15(b,c),19(only parts dealing with midpoint rule),22,29(b,c),30,47,48 (due Wednesday 2/13)
13. Problem 65 on page 531; do only the part that refers to the midpoint rule. (due Wednesday 2/13)
14. Section 7.8: 2,3,7,13,16,25,28,40,51,52,63,68,69 (due Wednesday 2/13)
15. Solutions for problem set 2. (7.5,7.6)
16. Solutions for problem set 3. (7.7,7.8)
17. Section 8.1: 10,13,35,37,40(a) (due Friday February 22) (In problem 40(a), the hyperbolic cosine cosh(x) is (e^x + e^{-x})/2. You don't need to know anything more than that about cosh to solve this problem; just work with exponential functions.)
18. Please study sections 11.1 and 11.2 for Friday 2/22. There is a lot of conceptually new material here, so please devote some time to this reading.
19. Section 11.1: 17,27,30,41,42,69,70,71,79. (Use 70(a) in solving 79.) (Due Wednesday 2/27)
20. Section 11.2: 1,2,17,31,35,43,61,72(a),78,79,85. (Due Wednesday 2/27)
21. Section 11.3: 2,8,13,20,29,36,38. (Due Wednesday 2/27)
22. Please study Chapter 11 through section 5 for Friday 3/1 and section 6 for Monday 3/4.
23. Section 11.4: 4,7,13,17,30,31,37,44 (Due Wednesday 3/6)
24. Section 11.5: 3,4,8,11,23,27,31,34 (Due Wednesday 3/6)
25. Section 11.6: 6,11,21,24,30,35(a),36 (Due Wednesday 3/6)
26. Solutions for section 8.1.
27. Solutions for section 11.1.
28. Solutions for sections 11.2 and 11.3.
29. Solutions for problem set 6. (sections 11.4,5,6)
30. Section 11.7: 13,14,17,19,27,32,33,36 (Due Wednesday 3/13)
31. Section 11.8: 2,8,13,17,26,28,29,33,35(a),38 (Due Wednesday 3/13)
32. Section 11.9: 2,5,12,15,28,33,36(a),39,40(b) (Due Wednesday 3/13)
33. Section 11.10: 2(a),7,10,20,21,28,46,55,61,76 (Due Wednesday 3/20)
34. Section 11.11: 6,15(a,b),20(a,b),26,31,38 (Due Wednesday 3/20)
35. Study Chapter 11, all sections. Begin to prepare for the midterm exam on Friday 3/22.
36. Solutions for problem set 7. (sections 11.7,8,9)
37. Solutions for problem set 8. (sections 11.10,11)
38. Section 9.1: 4,7,9,11,14(a,b) [The discussion of Newton's Law of Cooling on page 240 of our text may be helpful in connection with problem 14.] (Due Friday 4/5)
39. Section 9.2: 1(parts i,ii),3,4,7(a),11,19(a,b),28 (Due Friday 4/5)
40. Solutions for sections 9.1 and 9.2 .
41. Section 9.3: 3,4,14,19,21,43,44,51 (Due Wednesday 4/10)
42. Section 9.4: 1,3,8,15,19(a,b),21(a) (Due Wednesday 4/10)
43. Section 9.5: 5,11,20,25,27,29,35,36 (Due Wednesday 4/17)
44. Section 17.1: 1,5,6,18,24,28,31,34. (Due Wednesday 4/17)
45. Section 17.2: 3,4,6,9,14,15,21(a). (Due Wednesday 4/24)
46. Appendix H: 1,4,9,13,21,24,48,50(a,b). (Due Wednesday 4/24)
47. More Section 17.2: 19(b),22(b). (Due Wednesday 4/24)
48. Still more Section 17.2: 24,27. (Due date Wednesday 5/1)
49. Section 17.3: 1,4(a),6,9,11,12,15. (Due date Wednesday 5/1)
50. Section 17.4: 3,5,8,10,11,12. For problem 11 only, determine for which values of x the resulting power series converges. (Due date Wednesday 5/8)
51. Solutions for section 17.2 (first part) and Appendix H
52. Solutions for sections 17.2 (second part) and 17.3
53. Solutions for section 17.4

Lecture Notes

Summaries/outlines of lectures, indicating topics/sections covered/discussed, will be posted here.  Preliminary drafts posted before lecture may be revised after class to more accurately reflect what was said. Slides displayed in lectures will also be posted.

1. Lecture 1, Wednesday 1/23.
2. Slides for Lecture 1.
3. Lecture 2, Friday 1/25.
4. Lecture 3, Monday 1/28.
5. Lecture 4, Wednesday 1/30.
6. Lecture 5, Friday 2/1.
7. Lecture 6, Monday 2/4.
8. Slides for Lecture 6.
9. Lecture 7, Wednesday 2/6.
10. More notes for Lecture 7, Wednesday 2/6.
11. Lecture 8, Friday 2/8.
12. Lecture 9, Monday 2/11.
13. Lecture 10, Wednesday 2/13.
14. Lecture 12, Wednesday 2/20.
15. Lecture 13, Friday 2/22.
16. Lecture 14, Monday 2/25.
17. Lecture 15, Wednesday 2/27.
18. Lecture 16, Friday 3/1.
19. Lecture 17, Monday 3/4.
20. Lecture 18, Wednesday 3/6.
21. Lecture 19, Friday 3/8.
22. Lecture 20, Monday 3/11.
23. Lecture 21, Wednesday 3/13.
24. Slides for Lecture 21.
25. Lecture 22, Friday 3/15.
26. Slides for Lecture 22.
27. Lecture 23, Monday 3/18
28. Lecture 24, Wednesday 3/20
29. Lecture 25, Friday 3/22, was the second midterm exam.
30. Lecture 26, Monday 4/1
31. Lecture 27, Wednesday 4/3
32. Lecture 28, Friday 4/5
33. Lecture 29, Monday 4/8
34. Lecture 30, Wednesday 4/10
35. Lecture 31, Friday 4/12
36. Lecture 32, Monday 4/15
37. Lecture 33, Wednesday 4/17
38. Lecture 34, Friday 4/19
39. Lectures 35 and 36 Monday/Wednesday April 22 and 24
40. Slides illustrating aspects of vibratory motion
41. Lecture 37 Friday April 26
42. Lectures 38--40, Week of Monday April 29

Handouts

• The Course policies announcement includes important dates and grading policies. You are responsible for reading it and adhering to course rules.
• Exam procedures handout explains procedures and rules for midterm and final exams.

Announcements

• Please understand that Professor Christ cannot reply individually to all emails from 350 students. Begin with your GSI.
• This course will use the bspace system for certain functions. Some announcements will be circulated by email so please check your email daily. Exam, quiz, and final grades will be available via bspace.
  
• The Student Learning Center runs study groups, exam reviews, and drop-in tutoring for Math 1AB. See http://slc.berkeley.edu/math_stat/math1b.htm for further info.
• For add/drop and change of grading status deadlines see http://registrar.berkeley.edu/alumni/stucal.html
  
• WARNING The first unit of this course is comparatively easy for many students, while the second, which begins after the first midterm exam, is more challenging for most. Please do not be lulled into a false sense of security in the early weeks.
  

Exams

• Exam procedures handout explains procedures and rules for midterm and final exams. Please arrive ahead of time for exams.
• For exam dates, see course policies announcement. Quiz dates: Friday February 1, Monday February 11, Friday March 1, Friday March 15, Friday April 12, Friday April 26. (Quiz dates to not apply to the PDP section, which meets Tuesdays and Thursdays only. Consult your GSI.)
• To make good use of practice exams: First read each problem, but not its solution. Mentally outline the steps involved in a solution. Work out the details if you are unsure of them. Consult the solutions after attempting the problems. If you are not sure of the appropriate method, or of a particular step, review the appropriate material. Consult GSI or instructor if still in doubt.
• Barring unforeseen circumstances, solutions to exam problems will be posted here promptly after administration of the exam. I would like you to study the solutions while the exam is still fresh in your mind.
• The final exam will be cumulative, covering the entire semester's material. There will be some extra emphasis on material covered after the second midterm exam.
  
• To review for the final exam: (1) Examinations from Math 1B given by other instructors in some past semesters are archived on the math department web site.  (2) The lecture notes posted will provide a reliable indication of which topics I considered to be most important. (3) Expect some short answer exam questions which test concepts and theory.
  
• Exams will include formula sheets, which will be posted here in advance so that you will know which formulas you are not expected to memorize.
• Formula sheet for Midterm Exam 1
• Practice Midterm Exam 1
• Solutions for Practice Midterm Exam 1
• Solutions for Midterm Exam 1
• Practice Midterm Exam 2
• Solutions for Practice Midterm Exam 2
• Practice Midterm Exam 2b
• Solutions for Practice Midterm Exam 2b
• Formula sheet for Midterm Exam 2
• Solutions for Midterm Exam 2
• Practice Final Exam A
• Practice Final Exam A Solutions
• Practice Final Exam B
• Practice Final Exam B Solutions
• Formula sheet for final exam.

• Typical distribution of letter grades for Math 1AB: A+/A/A- 30%, B+/B/B- 35%, C+/C/C- 25%, D-F 10%.  However, in this course there is no fixed percentage of D-F grades; everyone who completes all required work, and does work of passing quality, will receive at least a C minus. In particular, ``work of passing quality'' includes a final exam which demonstrates sufficient knowledge of course material to merit at least a C minus grade.
  
• At the end of the semester, each student's point total will be calculated using the weights announced in the course policies handout. The class will then be ordered according to total points, and letter grades assigned. Plus/minus A,B,C grades will be used. 
• Your grade is a record of your performance in the course as measured according to the criteria and policies announced.
• Midterm exam 1 score distributions: 50 points possible. High score 49 (3 students). 90th percentile: 40. 80th percentile: 38. 75th percentile: 36. 70th percentile: 35. 60th percentile: 33. Median: 30. 40th percentile: 28. 30th percentile: 25. 25th percentile: 23. 20th percentile: 21. 10th percentile: 18. 5th percentile: 15.
• Midterm exam 2 scores are now available on bspace. There were two versions of the exam. Scores for problem 1 (all parts aggregated) were on average 2.0 points higher for one version than for the other. Scores for that version were adjusted by adding two points; the adjusted scores are recorded in bspace.
• Midterm exam 2 (adjusted) score distributions: 50 points possible. High score 50 (5 students). 90th percentile: 43 80th percentile: 40 70th percentile: 37 60th percentile: 34 Median: 30 40th percentile: 27 30th percentile: 24 20th percentile: 19 10th percentile: 15
• Final exams are graded. Distribution of scores (out of 100 points): High score: 99. 9 scores over 95. 95th percentile: 93. 90th percentile: 90 80th percentile: 85 70th percentile: 80 60th percentile: 74 50th percentile: 70 40th percentile: 66 30th percentile: 59 20th percentile: 53 10th percentile: 41
• Course letter grades are now posted.
• Letter grades are based on numerical course grades between 0 and 100, representing the percentage of total possible course points earned. (These are not percentiles.) If your numerical course grade is 75.0, for example, then you earned 75 percent of all possible points. One way to do this would be to score 75 on the final exam, 37.5 on each midterm exam, to complete 3/4 of the problem sets, and to score 75% of the maximum possible quiz points.
• One element used to calculate the numerical course grade is an ``adjusted quiz score''. This is based on the sum of your best 5 quiz scores. Some GSIs' quizzes resulted in consistently lower or higher scores than those of other GSIs; some had scores which were more widely spread than others. In order to achieve equity, we calculated the distribution of total quiz scores separately for each GSI, and applied an adjustment (composition on the left with an affine function), which (i) made all GSIs' groups have equal median scores and (ii) made all GSIs' groups have scores which are approximately equally spread out. (A simple proxy for standard deviation was used to achieve this.)
• Yes, I rounded up.

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