Mathematics 1B, Spring 2008

Professor: Vaughan Jones (The other 1B classes are taught by Serganova and Ratner.)

Office hours: Tuesday 3:30-4:30, Wednesday 10:30-11:30, Thursday 10:30-11:30 929 Evans Hall. (For quick questions ask me after class.)

Our class meets in 100 Lewis, 2-3:30pm on Tuesdays and Thursdays. This is the course home page (address www.math.berkeley.edu/~vfr/MATH1B08). If you take this course you are expected to attend lectures, enroll in and attend one of the discussion sections, do the homework each week, and take the two midterms and the final.

<--Enrollment in discussion sections is handled by telebears and the head TA, www.math1b.com --> If you wish to add or drop this course after telebears ends, here is the form and instructions. The deadline to add or drop without the dean's approval (which is rarely given) is [].

Catalogue Description: Mathematics 1B

Course Format: Three hours of lecture and three hours of discussion per week.

Prerequisites: Math 1A

Credit option: Students will receive 2 units of credit for 1B after taking 16A.

Description: Continuation of 1A. Techniques of integration; applications of integration. Infinite sequences and series. First-order ordinary differential equations. Second-order ordinary differential equations; oscillation and damping; series solutions of ordinary differential equations.

Textbook:

Stewart, Single Variable Essential Calculus, Student Edition, University of California, Berkeley. See MATH1B Homepage

Teaching

My goal is to teach the course material as clearly as possible. The biggest success for me would be to be able to assign an A grade to every student. According to past experience this is unlikely.

From time to time I will add material or do examples that are not in the book in order to enhance understanding. When that occurs I will be careful to present a clear written account on the blackboard. Otherwise your main source of a clear written account is the textbook. Lectures are used to explain the content of the textbook, not reproduce it on the blackboard.

It is my expectation that every student attend every class. It may happen that something prevents you from attending a class. In this case it is YOUR RESPONSIBILITY to find out exactly what was covered in that class and any announcements made.

Grading:

There will be a quiz given each week in the discussion sections. There will be no make-up quizzes.

The grading will be:

homework and quizzes 20%, midterms 15% each, final 50%.

The final grade is not based on a curve or on previously fixed marks for certain grades. Instead the grades for the course will be based on my judgment of how well the class is doing, and will be higher if everyone is working hard at the homework and doing well on the exams. Grades will be assigned after consultation with other instructors of MATH1B.

Most of the questions in the midterms or finals will be similar to randomly selected homework questions from the book, possibly with the constants in the questions changed. So if you understand how to do all the homework questions you will be able to do most of the questions on the exams.

I only change grades for exams or quizzes if there is a clear error on the part of the grader, such as adding up marks incorrectly or forgetting to grade a question. I will not increase grades just because someone needs a higher grade to graduate or get into some program.

The final homework and quiz grade will be computed from the grades for the 10 best homeworks and quizzes, so it does not matter much if you forget one or two. If you miss the first midterm with a documented medical excuse, your score for the second midterm will be doubled. If you miss the second with a documented medical excuse then your score for the final will be weighted accordingly. If you miss both midterms or the final then you are in trouble. There will be no makeup exams or quizzes.

Examinations:

You may bring one (ordinary sized) sheet of paper to the exams, with writing on one side for the midterms and both sides allowed for the final. Apart from this one sheet, the exams are "closed book". In particular you may not bring textbooks or notebooks or calculators.

The dates for the midterms have not yet been set but will be announced at least two weeks ahead. The midterms occur during regular class hours in the regular lecture room.

The second midterm will be on the material covered since the first midterm.

The final is on Thursday May 15 12:30-3:30 pm and is in 1 Pimentel not the usual lecture room. It will cover the whole course with an emphasis on the material covered after the second midterm.

Homework:

Homework is due by the beginning of the first discussion section of the week after it is assigned. Late homework will not be accepted. The grade for homework will be based just on the number of questions attempted, as Berkeley does not at the moment have money to pay for homework grading. Collaboration on homework is fine, but if you hand in similar homework to your collaborator you should clearly state so and say who you are working with, in order to avoid unfortunate misunderstandings. Be aware that you will be taking the exams ON YOUR OWN. If you collaborate on homework there is a risk that you do not fully understand the solutions. At the very least you should write the final version of your answer on your own.

The homework assigned is intended to be minimal. If you are still finding the questions difficult after completion of the homework assignment you should do some of the unassigned exercises.

Incomplete grades

Incomplete "I" grades are almost never given. The only justification is a documented serious medical problem or genuine personal/family emergency. Even then you are required to be doing work at a passing level. Falling behind in the course or problems with workload on 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 me with the DSS document and you must contact me via office hours at least 18 days prior to each exam, explaining your circumstances and what special arrangements are requested. If you do not contact me 18 days in advance then I will not have time to make arrangements and you will have to take the exam along with everyone else and under the regular conditions provided for the class.

Reading and Homework Assignment

Most questions have answers in the back of the book, and many (the ones in red in the book) have hints on one of the CDs. Homework and reading will be assigned (on this page) at the beginning of each week. Homework is due at the first discussion section of the following week.

Week 1 Due first section of week beginning 29 Jan. TBA

  • Reading: 6.1-6.2
  • Homework: 6.1: 1, 5, 7, 13, 17, 25, 29, 31, 33. 6.2: 1,3,7,9, 11, 13,15,23,27,33,37,41,45,49.>

    Week 2 Due first section of week beginning 3 Feb.

  • Reading: 6.3-6.4
  • Homework: 6.2 59,61. 6.3: 1,3,7,9, 11, 13,17,23,29,35,39,41,46. 6.4: read especially page 332 6.5: 1,3,5

    First mid term will be in class time on Tuesday March 4. It will cover all the material up to and including the previous Thursday, i.e. Feb 28.

    Week 3 Due first section of week beginning 11 Feb.

  • Reading: 6.5-6.6
  • Homework: 6.5: 7,17(c),19,25,31,35,37. 6.6: 1,3,5,7,11,25,29,33,41,43,45,47,61.

    Completion of the surface of revolution integral not finished in class

    Week 4 Due first section of week beginning 18 Feb.

  • Reading: 7.4-7.6
  • Homework: 7.4: 1,3,5,13,17,19,29. 7.5: 1,3,5,7,17.
  • Click on : Area of surfaces of revolution Read section and do 1,3,5,15,27,31 on page 5.

    Week 5 Due first section of week beginning 25 Feb.

  • Reading: 7.6-8.1
  • Homework: 7.6: 1,3,5,7,11,13,15,21-24,27,29 33,35,39,45,47.

    Remember that the first midterm is two weeks away. Here is a sample midterm:Sample midterm 1.

    Week 6 Due first section of week beginning 3 March.

  • Reading: 8.1-8.3
  • Homework: 8.1: 1,3,9,13,17,23,29,31,37,39,47. 8.2: 1,3,5,7,9,11,13,19,25,31,45.

    I will be in my office Tuesday 4th from 1 to 1:45 pm for any last minute questions.

    Week 7 Due first section of week beginning 10 March.

  • Let's have a break this week-no homework due. Keep reading.

    Week 8 Due first section of week beginning 17 March.

  • Reading: 8.4-8.5
  • Homework: 8.3: 1,3,5,9,13,17,29,31,33,36,41. 8.4: 1,5,7,9,11,15,17,19,23,39,43.

    Week 9 Due first section of week beginning 31 March.

  • Reading: 8.5, 8.6
  • Homework: 8.5: 2,3,5,9,13,15,17,19,25,27,29. 8.6: 1,5,9,11,13,15,17,23,25,27,35,39.

    The second midterm will be on Tuesday April 15 in class. It will cover all the material from the first midterm through Thursday 10th April. Remember though that math is cumulative so the previous material will be implicitly if not explicitly covered.Sample midterm 2. As of 8 April, I have made up the midterm and to my surprise all the questions are about series, as covered in chapter 8.

    Week 10 Due first section of week beginning 7 April.
  • Click on the link below to see the correct version of the sum done wrongly in lecture.
  • Reading: 8.7(especially the proof of Taylor's formula), 8.8
  • Note that section 8.7 contains a lot. The homework I have assigned, though it looks long, is really minimal. Make sure you can do all this stuff!! Homework: 8.7:1, 2,5,7,9,11,13,15,19,25,29,39,41,43,53,55,59,64,69. 8.8: 9,15,19,21,23,30.

  • Week 11 Due first section of week beginning 21 April. Note change because of midterm. No other homework assigned. Also, I will have an extra office hour on Tuesday 15 April from 10:30-11:30 so any last minute questions concerning the midterm can be answered then.

  • We will be covering the section on integrating factors in
  • http://www.stewartcalculus.com/data/ESSENTIAL%20CALCULUS%20Early%20Transcendentals/upfiles/topics/ess_at_07_lde_stu.pdf
  • Read it and do the following exercises from it: 3,5,13,17,23,25,29 We will then do complex numbers: http://www.stewartcalculus.com/data/ESSENTIAL%20CALCULUS%20Early%20Transcendentals/upfiles/topics/ess_at_12_cn_stu.pdf
  • Read it and do the following exercises from it: 1,3,7,9,13,15,18,21,25,29,31,33,37,41,45,48,49,50.

  • Week 13 Due first section of week beginning 28 April.

  • Reading: 17.1,17.2
  • Homework: 17.1: 1,3,7,9,17,15,17,19,23,27,29,34 17.2: 1,3,5,9,11,13,15,19,23,25.

  • Some of the homework concerns variation of parameters which we did not get to in class. You don't need to hand those in.

    If you're interested in summer research there is a workshop on April 23. Check out Summer research

  • Week 14 Due first section of week beginning 5 May.

  • Reading: 17.3, 17.4
  • Homework: 17.2: 13,15,19,23,25. 17.3: 3,5,11,13,15. 17.4:1,3,5.

  • As a final homework you should read the lcr circuit solution below and do 9 and 11 on page 1137.

    Bring student id's to the final

  • I have to cancel my office hour next Tuesday but I will have my regular office hours on Wednesday and Thursday of next week from 10:30-11:30.

    Particular solution for the LCR circuit

  • Sample final (F01)

  • Tartaglia's poem. Cubic

    Here is a link to an exam archive:

  • Exam archive.

    Links related to the course: