Professor: Richard Borcherds,
reb
Office hours: Tu Th 9:30-11:00
927 Evans Hall. (For quick questions ask me before or after class.)
This class meets in 100 Lewis, on Tuesdays and Thursdays 2:00-3:30 This is the course home page (address /~reb/1B/). The course control number is 53744. 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: Enrollment is handled by telebears. There are two other 1B classes this semester, and there is still room in these classes. I have no control over enrollment, so please do not send me email asking to get into this class. If you have questions about enrollment send them to Barbara Peavy (peavy@math.berkeley.edu). Enrollment in discussion sections is also usually handled by telebears. You must attend the discussion section you are registered for. If you wish to add or drop this course after telebears ends, here is the form and instructions.
For the times, places, and instructors of the discussion sections click here.
The student learning center provides support for this class, including study groups, drop in, and exam reviews.
Prerequisites: Math 1A or equivalent.
Credit option: Students will receive 2 units of credit for 1B after taking 16B.
Description: This sequence is intended for majors in engineering and the physical sciences. 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.
Stewart, Single variable calculus: Early Transcendentals for UC Berkeley ISBN is 978-1-4240-5500-5 We will cover the material not in 1A, in other words chapters 7, 8, 9, 11, 17. This is probably the same textbook that you used for 1A. Warning: there are dozens of different and incompatible editions of Stewart's book, and several different "Berkeley special editions": check the ISBN to make sure you are getting the right edition.
If you have a different edition of Stewart's book, this should be OK for the course. Old editions can often be found very cheaply on the internet. However the publisher tends to randomly renumber chapters with every new edition, so you need to take this into account when doing the homework exercises.
The ASUC textbook store sells the textbook and they may buy it back for half price.
There will be a quiz given each week in the discussion sections. There will be no make-up quizzes.
The homework, quizzes, midterms, and final will each account for about a quarter of the total marks. 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.
Almost all the questions in the midterms and final will be similar to randomly selected examples I covered in class or homework questions from the book. So if you understand how to do all the examples in class and all the homework questions you should be able to do all the questions on the midterms and final. There are some practice midterms and finals given below in the homework list, and the real exams will be similar. Each question on the midterms and final will be worth 3 points. The grading scheme is: 3 points for a completely correct and clear answer in simplified form, 2 points for an essentially correct answer with some minor errors, 1 point for a reasonable start on the question, 0 points for no significant progress. It is your responsibility to make your answers clear: if you get the question right but the grader does not notice, then this is your fault for not making your answer clear enough, and you will lose points for it. Students will never get extra partial credit just by asking for it, as this is unfair to students who do not ask. Regrading will only be done for entire midterms or finals, not for individual questions, and if you exam is regraded your score may go down.
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. 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 the mark for the second midterm will be doubled. (This option is only for people who do not take the first midterm: if you do take the first midterm and do poorly then you do not have the option of doubling the second midterm grade.) If you miss the second then the mark for the final will be increased by 50%. If you miss both midterms or the final then you are in trouble. There will be no makeup midterms, finals, or quizzes.
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 or notebooks or calculators or cellphones.
The first midterm is at the same time and place as the lectures The midterms and final for disabled students will be in room 959 Evans Hall, starting at the same dates and times as everyone else. The midterms and finals for any student who needs a room with no other student present will be 891 Evans Hall.
The second midterm is on the material covered since the first midterm. It is at the same time and place as the lectures.
The final is not held in the lecture room and is not at the normal lecture time.It will be mostly on the material covered after the second midterm, though there will be some problems on earlier material. The final for disabled students will be in room 959 Evans Hall, starting at the same dates and times as everyone else. The final for any student who needs a room with\ no other student present will be 891 Evans Hall.
Written homework is due by the end of the
Monday discussion section of the next week (or by Wednesday if Monday
is a holiday). Late homework will not be accepted. The grade for
written 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. I have just heard (Jan 14) that Berkeley now has money to
pay for homework grading, but do not yet know the details, so homework will probably be graded.
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.
I almost never give incomplete "I" grades. The only justification is a documented serious medical problem or genuine personal/family emergency. Falling behind in this course or problems with workload on other courses are not acceptable reasons.
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 email or office hours at least 10 days prior to each exam, explaining your circumstances and what special arrangements need to be done. If you do not contact me 10 days in advance then I may 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. The midterms and final for disabled students will be in room 959 Evans Hall (starting at the same dates and times as everyone else). The midterms and finals for any student who needs a room with no other student present will be 891 Evans Hall.
Most questions have answers in the back of the book.
| Lecture | Date | Reading | Exercises (Due in discussion section the next Monday) |
| 01-02 | Jan 18-20 | 7.1-7.2 | 7.1: 1, 3, 7, 15, 21, 23, 31, 35, 43, 45 7.2: 1, 3, 13, 19, 35, 39, 43, 53, 61, 67 |
| 03-04 | Jan 25-27 | 7.3-7.4 | 7.3: 1, 3, 5, 7, 9, 11, 31, 39, 41, 43 7.4: 1, 3, 5, 11, 13, 39, 51, 57, 59, 66 |
| 05-06 | Feb 1-3 | 7.5-7.8 | 7.7: 1, 3, 5, 7, 25, 27, 29, 31, 35, 46 7.8: 1, 3, 7, 13, 21, 41, 49, 61, 65, 77 |
| 07-08 | Feb 8-10 | 8.1, 8.2 | 8.1:1, 3, 7, 9, 13, 15, 19, 27, 31, 40a 8.2:1, 5, 11, 13, 17, 21, 25, 29, 33, 34 |
| 09 | Feb 15 | 8.3-8.5, | 8.3: 15, 25, 27, 35, 39, 45, 8.4: 13, 15 8.5: 3, 19 |
| 10 | Feb 17 | Midterm1: Covers up to the end of section 8.2. 2009 midterm 2011 midterm Practice midterm. | |
| 11-12 | Feb 22-24 | 11.1, 11.2 | 11.1: 5, 9, 13, 25, 33, 37, 39, 41, 57, 67 11.2: 9, 11, 21, 37, 43, 47, 61, 65, 73, 75 |
| 13-14 | Mar 1-3 | 11.3, 11.4, 11.5 | 11.3: 1, 3, 7, 9, 13, 27, 31, 35, 39 11.4: 3, 5, 13, 33, 37 11.5: 5, 19, 23, 27, 31, 35 |
| 15-16 | Mar 8-10 | 11.6,11.7, 11.8, 11.9 | 11.6: 1, 3, 5, 25, 31, 33, 38 11.7: 11.8: 3, 23, 27, 31, 35 11.9: 3, 11, 13, 23, 27, 31, 34, 37 |
| 17-18 | Mar 15-17 | 11.10, 11.11 | 11.10: 5, 7, 15, 25, 37, 41, 43, 51, 55, 59, 67, 70 11.11: 1, 3, 5, 9, 19, 25, 29, 39 |
| Mar 22-24 | Spring Recess | ||
| 19 | Mar 29 | 9.1, 9.2 | 9.1: 1, 3, 7, 11, 12 9.2: 1, 9, 13, 19, 23 |
| 20 | Mar 31 | Midterm2 Covers 8.3-8.5 and chapter 11. 2009 midterm 2011 midterm Practice midterm. | |
| 21-22 | Apr 5-7 | 9.3, 9.4 | 9.3: 1, 3, 5, 11, 15, 19, 21, 23, 29, 31, 37, 9.4: 1, 3, 5, 7, 9, 11, 13, 19, 21 |
| 23-24 | Apr 12-14 | 9.5, 9.6 | 9.5: 1, 3, 5, 7, 9, 15, 19, 23, 25, 35 9.6: 1ab, 3ab, 5, 7, 9abcd |
| 25-26 | Apr 19-21 | 17.1, 17.2 | 17.1: 1, 3, 5, 7, 15, 17, 21, 25, 27, 33 17.2: 1, 3, 5, 11, 13, 15, 19, 21, 23, 25 |
| 27-28 | Apr 26-28 | 17.3, 17.4 | 17.3:1, 2, 3, 4, 5, 6 7, 9, 11, 17 17.4: 1, 2, 3, 4, 5, 7, 8, 9, 11, 12 |
| Final: | MONDAY, MAY 9, 2011 11:30-2:30 Room 1 Pimentel. Covers everything, but mostly 9.1- 17.4. 2011 final 2009 final Practice final. | ||