Math 1B: Calculus (Fall 2009)

Department of Mathematics
University of California, Berkeley
Midterm 2 Results:
  • Here is Midterm 2 and the solutions.
  • The average score was 13.0 out of 35, the standard deviation 6.4, and the median 13.
  • The approximate grade levels are: A) 21 - 35, B) 14 - 20, C) 9 - 13, D) 4 - 8, F) 0 - 3
Midterm 2:
  • Midterm 2 will be held in class on Monday November 9 between 9:00am - 10:00am. Make sure you arrive on time.
  • Most of you will take the exam in the regular lecture room 105 Stanley.
  • If your last name starts with the letter A, B, D, or E, please take the exam in room 740 Evans.
  • DSP Students: Please come to room 939 Evans at 9:00am, and a GSI will arrange for you to take the exam.
  • The exam will cover everything we have done, namely, sections 7.1-7.5, 7.7-7.8, 8.1, 8.3, 6.4, 11.1-11.11, 9.1-9.2 of the textbook and homeworks/quizzes 1-9. However, the focus will be on the material that is new since Midterm 1.
  • Bring pens/pencils/eraser and one 2-sided sheet of notes (letter size). No calculator, no book, and no other notes are allowed.
  • Here are some sample second midterms from previous 1B courses
Midterm 1 Results:
  • Here is Midterm 1 and the solutions.
  • The average score was 20.1 out of 35, the standard deviation 6.3, and the median 21.
  • The approximate grade levels are: A) 27 - 35, B) 22 - 26, C) 16 - 21, D) 10 - 15, F) 0 - 9
Midterm 1:
  • Midterm 1 will be held in class on Monday October 5 between 9:00am - 10:00am. Make sure you arrive on time.
  • Most of you will take the exam in the regular lecture room 105 Stanley.
  • If your last name starts with the letter A, B, D, E, or F, please take the exam in room 70 Evans.
  • DSP Students: Please come to room 939 Evans at 9:00am, and a GSI will arrange for you to take the exam.
  • The exam will cover everything we have done, namely, sections 7.1-7.5, 7.7-7.8, 8.1, 8.3, 6.4, 11.1-11.2 of the textbook and homeworks/quizzes 1-5.
  • Bring pens/pencils/eraser and one 2-sided sheet of notes (letter size). No calculator, no book, and no other notes are allowed.
  • Here are some sample first midterms from previous 1B courses
Description: Second part of the introduction to differential and integral calculus of functions of one variable, with applications. This course is intended for majors in engineering and the physical sciences. Prerequisites: Math 1A. Course control number: 54083.
Web page: http://persson.berkeley.edu/1B
Lecturer: Per-Olof Persson, persson@berkeley.edu, Evans 1089, Phone (510) 642-6947
Office hours: Tue 2:00pm - 3:30pm and Fri 2:30pm - 4:00pm in Evans 1089
Lectures: MWF 9am - 10am, Room 105 Stanley
Textbook: Single Variable Calculus, Early Transcendentals for UC Berkeley, James Stewart, Cengage Learning, ISBN 978-1-424-05500-5 or 1-424-05500-8.
Other material: Lecture 1: Standard Integrals
Lecture 7: Updated Standard Integrals and Strategy for Integration
Lecture 8: Approximate Integration
Lecture 12: Sequences (6 slides per page)
Lecture 23: Power Series
Lecture 26: Taylor and Maclaurin Series (6 slides per page)
Other links: Math 1B support at the Student Learning Center
Grading and policies: Homework: Weekly homework is posted on the course web page, and it is in general due in each Wednesday discussion section. Collaboration on the homework is encouraged, but each student must write his/her own solutions and not copy them from anyone else. The homework will be graded "pass/fail". Late homework will not be accepted, but the two lowest scores will be dropped when computing the grade.

Quizzes: There will be weekly quizzes given each Wednesday in the discussion sections. They will consist of chosen homework problems, possibly with different numerical constants. There will be no make-up quizzes, but the two lowest quiz scores will be dropped when computing the grade.

Exams: There will be two in-class midterm exams, scheduled for Monday Oct 5 and Monday Nov 9 between 9am - 10am. The final exam will be given on Friday Dec 18 between 8am - 11am. You may bring one (ordinary sized) sheet of paper with writing on both sides to the exams. Apart from this one sheet, the exams are "closed book". In particular, you may not bring textbooks, notebooks, or calculators. If there is an emergency alarm during the midterms or the final exam, leave the exam at the desk and walk out. You may of may not be allowed back to complete the work.

Grade corrections: The grades for exams or quizzes will be changed only if there is a clear error on the part of the grader, such as adding up marks incorrectly. Problems must be brought to the attention of the GSI immediately after the exams are returned.

Grades: The final grade will be based on homework assignments and weekly quizzes (20%), Midterm 1 (15%), Midterm 2 (20%), and the Final Exam (45%). If you do not take Midterm 1, Midterm 2 will count for 35% of your grade. If you take Midterm 1 but not Midterm 2, the Final Exam will count for 65% of your grade. If you take neither Midterm 1 nor Midterm 2, you will fail the course.

Incomplete grades: Incomplete "I" grades are almost never given. The only justification is a documented serious medical problem or genuine personal/family emergency. Falling behind in this course or problems with workload in other courses are not acceptable reasons.

Special arrangements: If you are a student with a disability registered by the Disabled Student Services (DSS) on UCB campus and if you require special arrangements during exams, you must provide the DSS document and make arrangements via email or office hours at least 10 days prior to each exam, explaining your circumstances and what special arrangements need to be done. Also see your GSI as soon as possible to make arrangements for the homeworks/quizzes.

Other: The homework/quiz dates for discussion section 12 is in the discussion section one day after the indicated days, that is, in general the Thursday discussion section.
GSIs and Discussion Sections:
Sec Time Room GSI E-mail Office Office hours
01 MW 8am - 9am 75 Evans G. Melvin gmelvin@math.berkeley.edu 1058 Evans Tue 1-2pm, Fri 11:30am-1pm
02 MW 8am - 9am 5 Evans T. Wilson trev@math.berkeley.edu 747 Evans Tue 1-2pm, Fri 12-1pm
03 MW 10am - 11am 75 Evans D. Cristofaro-Gardiner cristofaro.gardiner@gmail.com 739 Evans Mon,Tue 11:30am-12:30pm
04 MW 10am - 11am 3113 Etcheverry E. Kim kim107@berkeley.edu 828 Evans Mon 4-5pm, Thu 9-10am
05 MW 11am - 12pm 81 Evans G. Melvin gmelvin@math.berkeley.edu 1058 Evans Tue 1-2pm, Fri 11:30am-1pm
06 MW 12pm - 1pm 5 Evans T. Wilson trev@math.berkeley.edu 747 Evans Tue 1-2pm, Fri 12-1pm
07 MW 1pm - 2pm 2 Evans A. Tilley aetilley@math.berkeley.edu 716 Evans Mon 11am-12pm, Tue 1-2pm
09 MW 2pm - 3pm 247 Dwinelle D. Cristofaro-Gardiner cristofaro.gardiner@gmail.com 739 Evans Mon,Tue 11:30am-12:30pm
10 MW 3pm - 4pm 4 Evans E. Kim kim107@berkeley.edu 828 Evans Mon 4-5pm, Thu 9-10am
11 MW 4pm - 5pm 3113 Etcheverry A. Tilley aetilley@math.berkeley.edu 716 Evans Mon 11am-12pm, Tue 1-2pm
12 TT 11:30am - 2pm 230C Stephens L. Martirosyan lilit@math.berkeley.edu 1045 Evans Wed 2-4pm
Homework and Quizzes:
HW/Quiz Date Problems
01 Wed 09/02 7.1: 1,3,7,10,15,17,23,30,33,45,47,65
7.2: 1,3,7,13,17,23,29,35,43,67,69
02 Wed 09/09 7.3: 3,5,7,10,15,21,25,31,39
7.4: 1,5,9,13,15,20,25
03 Wed 09/16 7.4: 29,31,37,43,49,52,57,59
7.5: 17,23,31,41,45,49,57,61,69,81
7.7: 1,6,11,21,22,29,33,45,46
04 Wed 09/23 7.8: 7,13,21,24,34,51,55,59,71
8.1: 7,11,13,16,31,33,37
8.3: 3,9,13,23,29,40,45
6.4: 5,9,21,27,29
05 Wed 09/30 11.1: 5,7,9,13,19,23,27,35,43,54,61,66,69,71
11.2: 9,17,25,29,33,37,41,47,51,55,59,64
06 Wed 10/14 11.3: 3,7,11,17,21,27,33,39,41
11.4: 5,11,17,23,25,31,37,38,39,43
11.5: 3,7,11,13,17,23,32,35
07 Wed 10/21 11.6: 3,4,5,9,13,17,21,23,29,32,33
11.7: 5,7,15,18,23,24,27,30,33,36
11.8: 3,7,10,15,21,23,27,29,37,39
08 Wed 10/28 11.9: 5,8,11,13,15,18,25,27,35,37,39
11.10: 5,6,9,13,19,27,33,35,45,47,53,57,59,63,67
09 Wed 11/04 11.11: 5,7,9,13,19,25,29,31,33
9.1: 3,5,7,9,10,11,12
9.2: 1,3,4,5,6,7,9,11,13,21,23
10 Wed 11/18 9.3: 3,7,10,13,15,19,20,21,31,39,41,45,48
9.4: 3,5,7,9,13
11 Mon 11/23 9.5: 1,2,3,4,5,9,13,17,19,23,25,33,35
17.1: 1,5,9,11
12 Wed 12/02 17.1: 17,21,23,25,27,30
17.2: 3,5,7,9,13,16,21,25,27
17.3: 3,5,9,13,15,17,18
Syllabus:
Lec Date Topic Other
01 Wed 08/26 7.1: Introduction, Integration by Parts  
02 Fri 08/28 7.1: (cont'd)  
03 Mon 08/31 7.2: Trigonometric Integrals  
04 Wed 09/02 7.3: Trigonometric Substitution Quiz 1
05 Fri 09/04 7.4: Integration of Rational Functions by Partial Fractions  
  Mon 09/07 Labor Day - No Lecture  
06 Wed 09/09 7.4: (cont'd) Quiz 2
07 Fri 09/11 7.5: Strategy for Integration  
08 Mon 09/14 7.7: Approximate Integration  
09 Wed 09/16 7.8: Improper Integrals Quiz 3
10 Fri 09/18 8.1: Arc Length  
11 Mon 09/21 8.3: Applications to Physics and Engineering & 6.4 Work  
12 Wed 09/23 11.1: Sequences Quiz 4
13 Fri 09/25 11.1: (cont'd)  
14 Mon 09/28 11.2: Series  
15 Wed 09/30 11.2: (cont'd) Quiz 5
16 Fri 10/02 Review  
17 Mon 10/05 Midterm 1 - In class, 105 Stanley, 9-10am Midterm 1
18 Wed 10/07 11.3: The Integral Test and Estimates of Sums  
19 Fri 10/09 11.4: The Comparison Tests  
20 Mon 10/12 11.5: Alternating Series  
21 Wed 10/14 11.6: Absolute Convergence and the Ratio and Root Tests Quiz 6
22 Fri 10/16 11.7: Strategy for Testing Series  
23 Mon 10/19 11.8: Power Series  
24 Wed 10/21 11.9: Representations of Functions as Power Series Quiz 7
25 Fri 10/23 11.10: Taylor and Maclaurin Series  
26 Mon 10/26 11.10: (cont'd)  
27 Wed 10/28 11.11: Applications of Taylor Polynomials Quiz 8
28 Fri 10/30 9.1: Modeling with Differential Equations  
29 Mon 11/02 9.2: Direction Fields and Euler's Method  
30 Wed 11/04 9.3: Separable Equations Quiz 9
31 Fri 11/06 Review  
32 Mon 11/09 Midterm 2 - In class, 105 Stanley, 9-10am Midterm 2
  Wed 11/11 Veteran's Day - No lecture  
33 Fri 11/13 9.3: (cont'd)  
34 Mon 11/16 9.4: Models for Population Growth  
35 Wed 11/18 9.5: Linear Equations Quiz 10
36 Fri 11/20 17.1: Second-Order Linear Equations  
37 Mon 11/23 17.2: Nonhomogeneous Linear Equations Quiz 11
38 Wed 11/25 17.2: (cont'd)  
  Fri 11/27 Thanksgiving - No lecture  
39 Mon 11/30 17.3: Applications of Second-Order Differential Equations  
40 Wed 12/02 17.4: Series Solutions Quiz 12
41 Fri 12/04 17.4: (cont'd)  
42 Mon 12/07 Review  
43 Wed 12/09 Review  
  Fri 12/18 Final Exam - 8-11am Final Exam