Mathematics 1B, Summer 2011

Instructor: Janak Ramakrishnan,

Final: The answers to the final are available.

Second Midterm: The answers are available. You can see some practice midterm questions here. Most of the questions will be just like those on the other practice midterms below. The answers are available.

First Midterm: The midterm exam answers are available. You can also see the original midterm exam.

Office hours: Tu F 12:30-1:30, W 4-5. 868 Evans on Wednesday and after 1 on Tuesday, Friday. 820 Evans otherwise. (Additional office hours by appointment.)

This class meets in 2 Evans, Monday-Friday 2:00-3:00 with a discussion section 3:00-4:00 immediately following each class also in 2 Evans (ignore the official Berkeley schedule). This is the course home page (address http://www.janak.org/1B/). The course control number for the lecture is 58465. If you take this course you are expected to attend the lecture and discussion, do the homework each week, and take the quizzes, two midterms, and the final.

As time permits, the discussion will be focused on problem-solving by students, to give you a chance to work more with other students in small groups, both on problems from the homework and additional ones. Due to the short duration of the course, lectures will often extend slightly into discussion, but you should get ample opportunity to solve problems in the discussions.

Enrollment: Enrollment is handled by telebears. There are three other 1B classes this summer, but all of them are full. 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 (her last name @math.berkeley.edu).

The student learning center provides support for this class, including study groups, drop in, and exam reviews 12-4 Monday-Thursday, Cesar Chavez Atrium.

Catalog Description: Mathematics 1B

Prerequisites: Math 1A or equivalent.

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

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 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 (not including 7.6), 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 fine 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.

Grading:

I hope to give a quiz every few days during the discussion. There will be no make-up quizzes.

The homework and quizzes will each be 10% of the final grade. The two midterms will be 20% each, and the final will be 40%, although see below. The final letter 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.

The final homework and quiz grades 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 your second midterm grade is better than your first midterm grade, I will use your second midterm grade twice and drop your first. If your final exam grade is better than your second midterm grade, I will use your final exam grade in place of your second midterm grade and drop your second midterm grade. If you miss both midterms or the final then you are in trouble. There will be no makeup midterms or finals.

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. 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.

Homework:

Written homework is due by the end of the following Monday or Thursday discussion section. Late homework will not be accepted. 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.

Incomplete grades

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.

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 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.

Converting math 16B to math 1B

If you have taken math 16B and wish to convert this into math 1B, you enroll in the math 1B course and will be given 2 units of credit for completing math 1B. You cannot change 16B to 1B by taking math 49 as you need to be in a discussion section for math 1B, which requires that you enroll in math 1B.

Tentative Reading and Homework Schedule

Most questions have answers in the back of the book. Exercises will be due the Monday/Thursday after the relevant section is completed.

Lecture Date Reading Exercises (Due the following Monday/Thursday)
01-05 Jun 20-24 7.1-7.4 7.1: 1, 3, 7, 15, 21, 23, 31, 35, 43, 45 7.2: 1, 3, 13, 19, 35, 39, 43, 53, 61, 67 7.3: 1, 3, 5, 7, 9, 11, 31, 39, 41, 43 7.4: 1, 3, 5, 11, 13, 39, 51, 57, 59, 66
06-10 Jun 27-Jul 1 7.7-8.2 7.7: 1, 3, 5, 7, 25, 27, 29, 31, 35, 46 7.8: 1, 3, 7, 13, 21, 41, 49, 61, 65, 77 8.1:1, 3, 7, 9, 13, 15, 19, 27, 31, 40a 8.2:1, 5, 11, 13, 17, 21, 25, 29, 33, 34
11-13 Jul 4-7 8.3-8.5 8.3: 15, 25, 27, 35, 39, 45, 8.4: 13, 15 8.5: 3, 19
14 Jul 8 Midterm1: Covers up to the end of section 8.2. Prior practice midterm/midterms from another 1b class: 2009 midterm 2011 midterm Practice midterm.
15-19 Jul 11-15 11.1-11.4 11.1: 5, 9, 13, 25, 33, 37, 39, 41, 57, 67 11.2: 9, 11, 21, 37, 43, 47, 61, 65, 73, 75 11.3: 1, 3, 7, 9, 13, 27, 31, 35, 39 11.4: 3, 5, 13, 33, 37
20-24 Jul 18-22 11.5-11.9 11.5: 5, 19, 23, 27, 31, 35 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
25-26 Jul 25-26 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
27 Jul 27 Midterm 2 Covers 8.3-8.5 and chapter 11. Practice midterm/midterms from another course: 2009 midterm 2011 midterm Practice midterm.
28-29 Jul 27-28 9.1-9.2 9.1: 1, 3, 7, 11, 12 9.2: 1, 9, 13, 19, 23
30-34 Aug 1-5 9.3-9.6 9.3: 1, 3, 5, 11, 15, 19, 21, 23, 29, 31, 37, 9.4: 1, 3, 5, 7, 9, 11, 13, 19, 21 9.5: 1, 3, 5, 7, 9, 15, 19, 23, 25, 35 9.6: 1ab, 3ab, 5, 7, 9abcd
35-38 Aug 8-11 17.1-17.4 17.1: 1, 3, 5, 7, 15, 17, 21, 25, 27, 33 17.2: 1, 3, 5, 11, 13, 15, 19, 21, 23, 25 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 Aug 12 Covers everything, but mostly 9.1- 17.4. Practice final/old finals from another class: 2011 final 2009 final Practice final.

Links related to the course:

(Much of this webpage was taken from Prof. Richard Borcherd's Math 1B webpage, http://math.berkeley.edu/~reb/1B.)