Mathematics 53, Spring 2007

If you are on the waitlist or want to change sections, you must fill out a form with the head TA, Richard Dore. Please follow the instructions here.

Professor: Vaughan Jones (The other 53 class is taught by Hutchings .)

Office hours: M 3:30-4:30 W 3-4 F 3-4 929 Evans Hall. (For quick questions ask me after class.)
THE CLASS IS TOO BIG FOR EMAIL TO BE REASONABLE. PLEASE USE THE OFFICE HOURS. EMAIL WILL BE IGNORED.

Our class meets MWF 2-3P in 1 PIMENTEL. This is the course home page (address www.math.berkeley.edu/~vfr/MATH5307). 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, --> If you wish to add or drop this course after telebears ends, here is the form and instructions.

  • Catalogue Description: Mathematics 53 Catalogue description..

    COURSE SYLLABUS

    Textbook:

    Stewart, Calculus: Early Transcendentals, 5th edition, Brooks/Cole. We will cover chapter 10 and chapters 12 through 16.

    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 Math 53.

    Almost all 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 almost all 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 and have a documented excuse, your score for the second midterm will be doubled. If you miss the second and have a documented 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 and posted on this web site. 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 Saturday May 12 5-8 pm and is in ?? not the usual lecture room. It will be mostly on the material covered after the second midterm, though there will be some problems on earlier material.

    Homework:

    Homework is due by the beginning of the Monday discussion section of the next week 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 Homework: 10.1: 3,5,9,12,16,28,39. 10.2: 1,5,7,15,30,37,41,51,65. 10.3: 1,3,5,7,9,14,29,31,54. 10.4: 1,5,8,23,25,37,55.

    Exceptionally, the first week homework will be due on Wednesday of the second week (Wednesday 24 January) since the first week was short.

  • Week 2 Homework: 12.1: 1,3,5,9,11,13,15,35 . 12.2: 1,3,5,13,15,23,29,39.

    The first midterm will be on Wednesday 28 February in class.

  • Week 3 Homework: 12.3:1,3,5,7,9,11,14,17,23,27,31,35,49. 12.4: 1,3,9,11,12,21,23,25,29,39. 12.5: 3,5,7,10,15,17,19,23,25,31,37,42,44,45,51,53,55,61.

  • Week 4 Homework: 12.6:1,3,21-28,29,48. 12.7: 3,9,13,15,19,31,35,57,59,63. 13.1: 3,7,11,19-24,35,39. 13.2: 3,7,9,11,16,19,23,29,31,48.

    The second midterm will be on Wednesday 18 April in class.

  • Week 5 Homework: 13.3:3,9,13,18,29,32,33,39,41,45. 14.2: 9,19,35,37. 14.3: 5,7,9,13,24,35,45,47,59,69. 14.4: 3,5,11,17,19.

  • Week 6 Homework(due Feb 28): 14.5: 1,5,11,15,21,27,31,43. 14.6: 3,5,9,11,19,21,30,33,39,47. 14.7: 1,3,11,13,29,33,43,47.

    To allow maximum time to study for the midterm, the homework above, marked as due feb 28, will be due March 2 (Friday).

    On looking over the test it appears that I did not include any material from 14.6. So be it.

  • Week 7 Homework(due March 5): 14.8: 1,3,11,19,23

  • Week 8 Homework(due March 12): 15.1: 5,11,12 15.2: 1,5,11,13,17,21,23,33. 15.3: 1,3,7,9,15,17,31,37,43,57.

    We didn't cover as much of 15.3 as I hoped so if you weren't able to finish that part of the homework just hand the rest in next time.

  • Week 9 Homework(due March 19): 15.4:1,3,5,7,9,13,17,25,29 15.5: 1,5(just the mass). 15.6: 1,3,5,7.

  • Week 10 Homework(due April 2): 15.7: 2,3,7,9,11,13,21,25,29,31,37 15.8: 1,3,5,6,7,19,23,33,35

  • Week 11 Homework(due April 9): 15.9:1,5,7,9,11,13,19,23 16.1:1,5,9,11-14,15-18,29-32

  • Week 12 Homework(due April 16): 16.2:1,3,5,7,9,11,14,15,29-32,17,18,19,21,30a,39,44 16.3:1,3,5,9,11,15,19,23,33

    Remember midterm 18 April in class as before. Format same as first midterm. Will be a bit harder because the course material is. Hutchings' second midterm from fall 03 is a good practice midterm though I will probably put something in three dimensions. The exam will cover up to 16.3. As in any math course things are cumulative so that although only material from after the first midterm will be covered explicitly, you may have to know previous material to answer the questions.

  • Week 13 Homework (due April 23) 16.4: 1,3,7,9,10,11,17,19

    Week 14 Homework (due April 30) 16.5: 1,3,9,10,11,12,15,21,27,31 16.6: 1,3,11-16,17,19,23,31,33,35,37,45

    Week 15 Homework This is the last homework that is to be handed in, on Monday 7 May. Below I also give the last homework assignment of all on section 16.9 Intuitive question: Draw a non-simply connected surface with three simple closed curves on it none of which can be either smoothly deformed to a point or to any of the other curves. 16.7: 5,17,19,27,28 16.8: 1,3,5,7,11a,13,19

    Do the following homework but don't hand it in. If you have any questions on it make sure to consult me or your TA. 16.9 1,2,3,7,9,11,22,25 Copy page 1134

    Watch this space for comments on the final. It takes place in Pimentel from 5-8pm on Saturday May 12. Bring blue books. The exam will cover the whole course though most of the questions will be on material covered from the second midterm on. Be sure to go over your lecture notes carefully. It is obvious that I will be choosing questions from topics that I emphasized in class. You may have a two-sided sheet of paper as a cheat-sheet. Bring student id's for identity verification. It is an experimental fact that the class fits in to the lecture hall with one space between each person. It is also true that I will move a whole row of people to achieve this situation. So PLEASE, when you come into the lecture hall move into the center of the rows and sit with exactly one space in between you. If you have to go to the bathroom during the exam a TA will escort you. This may mean you have to wait until one is available. Once again Hutchings' final from 03 is not a bad practice final though there may be a question or two probing the theory a fraction more - no proofs though. Good luck. It has been a good class.

    I will have a special office hour from 1:30-2:30 on Tuesday May 8. I will also be available for quick questions in my office most of Tuesday. I will not be able to make my office hours on Wednesday or Friday but for the desperate I will be in my office from 3 to 4 on Saturday.

    Here is a link to an exam archive:

  • Exam archive.

    Links related to the course: