Lectures: MWF 12:00-1:00pm, Room 155 Dwinelle.
Discussion Sections: Monday and Wednesday, see Math 1A lisings from the Schedule of Classes. All students need to enroll in the lecture and one of the discussion sections. If you need to change sections, check from time to time on TeleBears for openings. If the sections you want is full but has a short waiting list, you have a good chance of finding an opening during the first week or two of the semester.
Professor Haiman's office hours: M 1:30-3:00, 855 Evans Hall. For R/R week: Mon 12/6 and Fri 12/10, 10:00-12:00.
GSI office hours:
Course Format: Three hours of lecture and two hours of discussion/workshop per week; at the discretion of the instructor, an additional hour of discussion/workshop or computer laboratory 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.
There is an online exam you can take to help you decide whether or not you are ready to take this course.
Credit option: Students will receive no credit for 1A after taking 16B and 2 units after taking 16A.
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.
James Stewart, Single Variable Calculus: Early Transcendentals for UC Berkeley. We will cover Chapters 1-6.
The Berkeley edition is a paperback version of Chapters 1-9, 11, 17 and Appendixes from Stewart's Calculus: Early Transcendentals, 6th Edition. You can also use the regular edition if you prefer.
How to study: Most students taking this class are in their first year of college. A challenge for many of you will be adjusting to the difference between studying college level math versus high school math. In college, the textbook is your main source of information. The lectures should help guide you in how to think about what you read, while the discussion sections provide an opportunity for you to ask questions about confusing points and get more practice analyzing problems, but it is mainly your responsibility to learn the material by reading the textbook carefully and working through the exercises.
In mathematics especially, careful reading is crucial. You cannot "skim" a mathematics textbook! Mathematical words, symbols, and concepts are precise and unambiguous, and you must learn precisely what they mean. Having only a vague idea what things mean in mathematics is of no use at all. When reading, think of yourself as interrogating the book. Read each sentence, definition, theorem, or formula one at a time, then pause to ask exactly what it means. If you aren't sure, read it again (and again). When you come to an example, try to work out for yourself how it illustrates the concept, before you read the explanation in the book. If the example is a problem, try to see for yourself how to solve it before you read the book's solution.
It is normal sometimes to take an hour or more just to read a page or two of mathematics. Even mathematicians studying the professional literature have to take this kind of time. If you are going much faster, you are probably missing something, so slow down!
Reading and homework assignments for the semester are listed below. There will be three midterm exams, held during the lecture hour, and a final exam. The grading formula is Homework 4%, Midterms 16% each, Final Exam 48%.
Since we do not have funds to hire graders this semester, homework will only receive a cursory check and not be fully corrected. For this reason it has a low weight in your grade. However, you can expect exam problems to be closely modelled on homework problems. Therefore, doing the homework carefully, and comparing your work with the solutions after they are posted, is your best preparation for exams.
You may collaborate with others on ideas for solving homework problems, but you must write up your solutions independently, without copying from notes taken in group work. Taking solutions from the internet or from previous years classes is not allowed.
The Student Learning Center offers drop-in tutoring and study groups for Math 1A.
Exam Schedule:
At exams you may bring one (ordinary-sized) sheet of notes, written on both sides. No other notes, books, calculators, computers, cell phones, audio players, or other aids or electronic devices may be used. There will be space on the exams to write your answers. You will need to bring your own scratch paper but you do not need blue books.
Missed exam policy: No makeup exams will be given for any reason. If you miss one midterm, your score on the next exam (midterm or final) will count in its place. However, you cannot miss a midterm retroactively after turning in your exam. If you miss the final or more than one midterm, you may be in trouble (see Incomplete Grades, next).
Incomplete Grades: The grade of Incomplete is rarely given, and only in cases of documented serious medical or family emergency. An Incomplete grade is to be completed by taking the final exam in Math 1A next semester. You can only receive an Incomplete grade if you have passing scores on the work not missed.
Special accomodations: Students requiring special accomodations for exams must provide documentation from the Disabled Students' Program (DSP) and contact me at least ten days prior to the first exam, so that arrangements can be made.
Homework to turn in consists of the even-numbered exercises. The additional suggested exercises, with odd numbers, have answers in the back of the book so you can check your work. You don't have to turn these in, but you may find them useful as warm-ups for the assigned exercises, for extra practice, and for exam review.
| Lecture | Date | Reading | Homework |
| 1-4 | Aug 27- Sept 3 | Preview, 1.1-1.3, 1.5-1.6, 2.1-2.2 | Due in discussion section, Wed Sept 8. 1.1: 2(b-e),
6, 8, 20, 26, 30, 54, 68; 1.2: 4; 1.3: 2(e,f), 22, 38, 50(e,f); 1.5:
18, 26(a-c); 1.6: 6, 10, 24, 36, 38, 66; 2.1: 8; 2.2: 6(e-l), 24, 34.
Solutions.
Other suggested exercises. 1.1: 1, 5, 7, 21, 37, 43, 49, 61; 1.2: 7; 1.3: 1, 5, 7, 13, 19, 33, 49, 55, 63; 1.5: 15, 19; 1.6: 5, 7, 33, 35, 51, 61, 65; 2.1: 5; 2.2: 5, 13, 19, 27. I've assigned many problems from Chapter 1, including some on points which will there will only be time to mention briefly in the lecture. Most of this should be review material for students with appropriate preparation for Math 1A. If you have difficulty with it, you should consider taking Math 32 before Math 1A, or taking Math 16A instead. Note: The problems from 2.3 originally on this assignment have now been moved to Homework 2. |
| Sept 6 | Labor Day holiday | ||
| 5-6 | Sept 8-10 | 2.3-2.5 |
Due Mon Sept 13. 2.3: 26, 38,
56(b), 60; 2.4: 36, 42; 2.5: 10, 24, 36, 38, 50.
Solutions.
Other. 2.3: 1, 13, 25, 35, 37, 55; 2.4: 1, 13, 25, 33, 41; 2.5: 5, 11, 13, 17, 35, 37, 47, 61. |
| 7-9 | Sept 13-17 | 2.6-2.8, 3.1 |
Due Mon Sept 20. 2.6: 2(a), 6, 18, 26, 30, 42, 66; 2.7: 6, 16, 20,
30; 2.8: 8, 24, 48; 3.1: 8, 10, 24, 32, 34, 54, 74.
Solutions [updated 9/22].
Other. 2.6: 3, 13, 27, 31, 33, 35, 43, 67; 2.7: 3, 7, 15, 15, 33; 2.8: 3, 27, 41, 55; 3.1: 5, 13, 17, 23, 31, 33, 65 |
| 10-11 | Sept 20-22 | 3.2-3.3 |
Due Mon Sept 27. 3.2: 2, 4, 8, 10, 18, 28, 48, 52, 58; 3.3: 2, 6, 12,
16, 18, 34, 42, 44.
Solutions.
Other. 3.2: 1, 3, 13, 23, 25, 33, 43, 51, 55; 3.3: 3, 7, 11, 13, 23, 29, 41, 45, 49(a,b), 51 |
| Midterm 1, Fri Sept 24 |
Covering Lectures 1-9 (Chapters 1-2 and 3.1). See Exam Schedule,
above, for locations.
For review, here are midterm exams with solutions from two earlier
years: Fall
2004 (Solutions),
Fall
2006 (Solutions).
Midterm 1 Solutions [correction: in #6, The horizontal asymptote should be y=-2/3.] |
||
| 12-14 | Sept 27- Oct 1 |
3.4-3.6 |
Due Mon Oct 4. 3.4: 8, 14, 16, 22, 42, 64(a), 90; 3.5: 4, 16, 22, 36,
54; 3.6: 6, 16, 24, 38, 46.
Solutions [3.5 #16 corrected 10/11].
Other. 3.4: 3, 5, 11, 15, 19, 45, 65, 73; 3.5: 3, 5, 13, 27, 47, 67; 3.6: 7, 21, 27, 33, 45, 53 |
| 15-17 | Oct 4-8 | 3.9-3.10, 4.1 |
Due Mon Oct 11. 3.9: 2, 8, 20, 38, 40; 3.10: 2, 16, 20, 24, 28, 36;
4.1: 6, 22, 28, 34, 48, 60, 74.
Solutions.
Other. 3.9: 9, 17, 23, 27, 33; 3.10: 5, 13, 15, 23, 27; 4.1: 3, 9, 27, 29, 43, 61, 63 |
| 18-20 | Oct 11-15 | 4.2-4.3 |
Due Mon Oct 18. 4.2: 12, 18, 20, 24, 26; 4.3: 2, 12, 14, 44, 50, 70,
76(a,b).
Solutions.
Other. 4.2: 7, 11, 15, 19, 23, 27, 29; 4.3: 1, 5, 15, 41, 45, 67 |
| 21-22 | Oct 18-20 | 4.4, 4.7 |
Due Mon Oct 25. 4.4: 6, 12, 16, 18, 30; 4.7: 2, 10, 24, 46.
Solutions.
Other. 4.4: 1, 5, 17, 21, 31, 71 ; 4.7: 11, 19, 27, 37, 63 |
| Midterm 2, Fri Oct 22 | Covering Lectures 10-20 (3.2-3.6, 3.9, 3.10, 4.1-4.3). Same rooms as Midterm 1. Here are second midterms with solutions from earlier years: Fall '04 (Solutions), Fall '06 (Solutions). These classes only had two midterms, so their second exams came later in the semester and covered some topics not on our Midterm 2, specifically L'Hospital's rule and optimization problems. Midterm 2 Solutions | ||
| 23-25 | Oct 25-29 | 4.4 (cont'd), 4.5, 4.8 |
Due Mon Nov 1. 4.4: 42, 50, 56; 4.5: 10, 16, 44, 60; 4.8: 12, 16, 36.
Solutions.
Other. 4.4: 41, 47, 63; 4.5: 23, 37, 43, 63; 4.8: 1, 5, 13, 31, 39 |
| 26-28 | Nov 1-5 | 4.6, 4.9, 5.1-5.2 |
Due Mon Nov 8. 4.9: 2, 6, 14, 26, 32, 48, 52, 60; 5.1: 4, 12, 20, 22;
5.2: 8, 18, 36, 40.
Solutions.
Other. 4.9: 7, 13, 21, 39, 51; 5.1: 5, 13, 15, 17; 5.2: 1, 21, 27 |
| 29-31 | Nov 8-12 | 5.2 (cont'd), 5.3-5.4 |
Due Mon Nov 15. 5.2: 44, 54; 5.3: 6, 12, 14, 26, 36, 40, 58; 5.4: 2,
16, 44, 48.
Solutions.
Other. 5.2: 45, 47, 53; 5.3: 3, 11, 33, 41, 45, 53, 65, 73; 5.4: 5, 17, 33, 43, 47 |
| 32-33 | Nov 15-17 | 5.5 |
Due Mon Nov 22. 5.5: 2, 8, 16, 18, 30, 46, 52, 58, 68, 82.
Solutions.
Other. 5.5: 5, 7, 9, 19, 35, 43, 59, 65, 69, 73, 81, 85 |
| Midterm 3, Fri Nov 19 | Covering Lectures 21-31 (4.4-4.8, 5.1-5.4). The previous classes didn't have a third midterm, but for review you might want to look at their final exams: Fall '04 (Solutions), Fall '06 (Solutions). Midterm 3 Solutions | ||
| 34-35 | Nov 22-24 | 6.1 |
Due Mon Nov 29. 6.1: 2, 4, 10, 18, 26, 42, 48.
Solutions.
Other. 6.1: 1, 3, 11, 23, 27, 47, 49 |
| Nov 25-26 | Thanksgiving holiday | ||
| 36-38 | Nov 29- Dec 3 |
6.2-6.3, 6.5 |
Due in lecture, Fri Dec 3. 6.2: 2, 12, 24, 42, 50, 66; 6.3:
2, 8, 30, 44, 46; 6.5: 2, 14, 24.
Solutions.
Other. 6.2: 5, 15, 19, 23, 27, 33, 43, 51, 67; 6.3: 5, 19, 25, 39, 41; 6.5: 5, 13, 19 |
| Dec 6-10 | Reading/Review Week. No lectures or homework due during this week. I will hold office hours Monday 12/6 and Friday 12/10 from 10AM to 12PM. Some GSI's may hold review sessions—ask your GSI. | ||
| Final Exam, Fri Dec 17 | Covering all course material. Lectures 32-38 (5.5, 6.1-6.3, 6.5),
which have not already been covered on midterms, will take up about
1/3 of the final exam. For review, here are the links again to the
final exams from previous years: Fall
'04 (Solutions),
Fall
'06 (Solutions). Final Exam Solutions |
||