Professor: Richard Borcherds,
reb
Office hours: Tu Th 2:00-3:30
927 Evans Hall. (For quick questions ask me before or after class.)
This class meets in 2050 VALLEY LSB, 3:30-5:00 on Tuesdays and Thursdays. This is the course home page (address /~reb/1A/). 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. 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 Thomas Brown (brown@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.
DO NOT ENROLL IN TWO COURSES MEETING AT THE SAME TIME. Almost every year some student tries this and discovers at the end of the semester that if two courses are held at the same time then their final exams are also held at the same time, which causes them severe problems.
For the times, places, and instructors of the discussion sections click here. WARNING: the places and times of discussion sections are sometimes changed at the last minute.
The student learning center provides support for this class, including study groups, drop in tutoring, and exam reviews.
Course Format: Three hours of lecture and three hours of discussion per week.
Prerequisites:Three and one-half years of high school math, including trigonometry and analytic geometry, plus a satisfactory grade in one of the following: CEEB MAT test, an AP test, the UC/CSU math diagnostic test, or 32. Consult the mathematics department for details. Students with AP credit should consider choosing a course more advanced than 1A.
Credit option:Students will receive no credit for 1A after taking 16B and 2 units after taking 16A. Students are strongly advised NOT to take the course on a passed/not passed grade: students who do this often have to ask a year or two later for the grade to be changed to a letter grade.
Description:This sequence is intended for majors in engineering and the physical sciences. An introduction to differential and integral calculus of functions of one variable, with applications and an introduction to transcendental functions.
Stewart, Single variable calculus: Early Transcendentals for University of California, (special Berkeley edition) available from the ASUC store (who sometimes buy it back for half price). We will cover the material from chapters 1 to section 3 of chapter 6. There are many different and incompatible editions of Stewart's book. In particular there is more than one special Berkeley edition, and unfortunately one earlier Berkeley special edition was printed with a chapter missing, so avoid it.
If you have other editions of Stewart, these should be OK for the course. However the publisher tends to renumber chapters and exercises with every new edition, so you need to take this into account when doing the homework exercises. If you don't mind this problem, you can find old editions for about $5 on the internet.
The special Berkeley edition misses out several of the chapters of the full version, which are used in math 53, so if you are planning to take math 53 later it might be better to get the full edition.
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 I will first choose the pass/fail cutoff, based roughly on the guideline that anyone who has done most of the homeworks and quizzes deserves to pass, and the cutoff for an A+, which is usually around 96%-100%. The cutoffs for various grades A+, A, ..., C, C- are then chosen to be roughly equally spaced.
Almost all the questions in the midterms and final will be similar to randomly selected homework questions from the book, or examples covered in lectures, possibly with the constants in the questions changed. So if you understand how to do all the problems in the homework and lectures you will 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 for asking for it without a good reason, as this is unfair to students who do not ask. The course policy is that students will not get extra credit because they feel the grader was too strict, or because a friend got a higher mark for a similar answer, or because there was a misprint in a quastion that the grader was aware of.
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 midterm 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.
The first midterm is at the same time and place as the lectures.
The second midterm is on the material covered since the first midterm.
The final will be mostly on the material covered after the second midterm, though there will be some problems on earlier material. Final exams are often held in different rooms and at different times from the lectures, so check the final exam schedule and room list
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. Some of the sections may have online computer graded homework (this is experimental). 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 "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 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 under the regular conditions provided for the class. The midterms and final for disabled students will be in room 961 Evans Hall. The midterms for disabled students start at the same dates and times as everyone else. The final for disabled students will start earlier at 5:30 as it finishes rather late: contact the professor for details.
Most questions have answers in the back of the book. The homework list below is not yet finalized and may change.
| Lecture | Date | Reading | Exercises (Due in discussion section the next Monday, or Wednesday if Monday is a holiday. So for example the first homework is due on Sep 5 as Sep 3 is a holiday.) |
| 01-02 | Aug 23, 28 | 1.1-1.6 | 1.1: 3, 7, 9, 15, 17, 25, 29, 39, 41. 1.2: 3, 11, 13. 1.3: 3, 5, 23, 29. 1.5: 1, 21, 24. 1.6: 5, 7, 21, 23, 27, 33, 37. |
| 03-04 | Aug 30, Sep 4 | 2.1-2.4 | 2.1: 1, 3, 5, 7. 2.2: 7, 9, 13, 15, 29, 41 2.3: 7, 11, 19, 23, 27, 33bc, 43, 51. 2.4: 1, 3, 5, 13, 15, 23. |
| 05-06 | Sep 6, 11 | 2.5-2.8 | 2.5: 3, 5, 41, 45, 47, 49, 51, 55. 2.6: 3, 7, 11, 17, 19, 27, 55, 65. 2.7: 1, 5, 9ab, 11. 2.8: 3, 5, 7, 9, 17, 25. |
| 07-08 | Sep 13, 18 | 3.1-3.2 | 3.1: 3, 7, 11, 15, 17, 23, 25, 31, 39, 43, 55. 3.2: 1, 3, 5, 11, 21, 31, 41. |
| 09 | Sep 20 | 3.3, 3.4 | 3.3: 3, 9, 15, 23, 29, 37, 43, 45, 47. 3.4: 1, 5, 7, 9, 17, 29, 33, 37, 39, 45, 51, 57, 61 |
| 10 | Sep 25 | Midterm1: Covers 1.1 to 3.2. Practice, 2004 , 2005 , 2006 , 2009 , 2012 , midterms | |
| 11-12 | Sep 27, Oct 2 | 3.5-3.9 | 3.5: 5, 9, 15, 21, 25, 29, 31, 37, 45, 47, 51, 53 3.6: 3, 5, 11, 13, 28, 31, 43, 45, 49. 3.8: 1, 3, 5, 9, 11, 17 3.9: 1, 7, 9 |
| 13-14 | Oct 4, 9 | 3.10, 3.11, 4.1 | 3.10: 1, 7, 9, 19, 21, 25, 31, 39, 41, 43. 3.11: 31, 33, 43. 4.1: 3, 5, 9, 13, 17, 21, 23, 25, 27, 31, 35, 41, 43, 49. |
| 15-16 | Oct 11, 16 | 4.2, 4.3 | 4.2: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 31, 33. 4.3: 1, 5, 7, 11, 13, 19, 21, 31, 33, 37, 41. |
| 17-18 | Oct 18, 23 | 4.4-4.6 | 4.4: 7, 9, 11, 17, 21, 23, 25, 27, 29, 31, 39, 41, 43, 45, 47, 49, 55. 4.5: 9, 11, 13, 29, 63, 65, 67. 4.6: 13, 25. |
| 19 | Oct 25 | 4.7 | 4.7: 1, 3, 5, 7, 9, 11, 15, 17, 19, 21, 27, 35, 41, 45, 49, 51, 53, 55, 59, 63 |
| 20 | Oct 30 | Midterm2: Covers 3.3-4.6 Practice , 2004 , 2005 , 2006 , 2009 , 2012 , midterms. | |
| 21-22 | Nov 1, 6 | 4.8-4.9 | 4.8: 1, 3, 5, 7, 11, 13, 31, 37. 4.9: 3, 7, 9, 11, 15, 17, 19, 23, 27, 35, 39, 41, 43, 45, 49, 59, 69, 75, 77, 79. |
| 23-24 | Nov 8,13 | 5.1, 5.2 | 5.1: 1, 3, 13, 17, 19, 21, 23 5.2: 1, 5, 7, 9, 17, 19, 23, 33, 37, 39, 47, 49, 57, 59, 65. |
| 25-26 | Nov 15, 20 | 5.3, 5.4 | 5.3: 3, 9, 11, 13, 21, 25, 29, 31, 39, 43, 51, 53, 63, 65, 67. 5.4: 1, 3, 19, 27, 37, 39, 45, 49, 53, 57, 59. |
| Nov 22 | Holiday | ||
| 27 | Nov 27 | 5.5 | 5.5: 1, 3, 5, 7, 9, 13, 17, 21, 27, 31, 37, 41, 51, 57, 65, 75, 79, 83, 87. |
| 28 | Nov 29 | 6.1-6.3 | 6.1: 1, 3, 9, 11, 19, 25, 43, 49 6.2: 1, 3, 9, 11, 13, 17, 31, 45, 47, 59, 63, 64. 6.3: 3, 5, 48 |
| Final Exam: FRIDAY, DECEMBER 14, 2012 7-10P Covers everything, but mostly 4.7-6.3. Practice, 2004, 2005, 2006, 2009, 2012, finals. | |||