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Office Phone: (530) 554-2733
Office Hours
I will be available for questions on lecture and homework right after class (9:40-10) in our classroom. In addition, I will have regular office hours in 3217 Mathematical Sciences Building at these times:- Mondays: 12:30pm-1:30pm and 3:30pm-4:30pm
- Tuesdays: 11:30am-12:30pm
- Wednesdays: 3:30pm-4:30pm
- Thursdays: 4:30pm-6pm
E-mail List
I maintain an e-mail list for my discussions (the subject always starts with [Math 21C], if you wanted to add an e-mail filter or something), with information class information. If you'd like to be added to the list, please send me an e-mail (address is above).Here's an archive of past e-mails:
- E-mail on June 26, 2006
- E-mail on June 28, 2006
- E-mail on July 5, 2006
- E-mail on July 11, 2006
- E-mail on July 12, 2006
- E-mail on July 16, 2006
- E-mail on July 19, 2006
Course Description
General Catalog Description: Lecture 3 hours; discussion; 1 hour. Prerequisite: course 21B or 21BH. Continuation of course 21B. Sequences, series, tests for convergence, Taylor expansions. Partial derivatives, total differentials. Applications to maximum and minimum problems in two or more variables. Definite integrals over plane and solid regions in various coordinate systems. Applications to physical systems. GE credit: SciEng.I, II, III. (I, II, III.)Textbook: Weir, Maurice, et. al. Thomas' Calculus: Early Transcendentals. 11th ed. Pearson / Addison-Wesley.
Schedule of Lectures
| Jun 26 (Mon) | 11.1 Sequences |
| Jun 27 (Tue) | 11.2 Infinite Series |
| Jun 28 (Wed) | 11.3 Integral Test 11.4 Comparison Test |
| Jun 29 (Thu) | 11.5 Ratio Test and Root Test |
| Jul 3 (Mon) | 11.6 Alternating Series; Absolute and Conditional Convergence |
| Jul 4 (Tue) | Academic and Administrative Holiday |
| Jul 5 (Wed) | 11.7 Power Series |
| Jul 6 (Thu) | 11.8 Taylor Series 11.9 Convergence of Taylor Series; Error Estimates |
| Jul 10 (Mon) | 12.1 Three-dimensional Coordinates 12.2 Vectors |
| Jul 11 (Tue) | 12.3 Dot Product |
| Jul 12 (Wed) | 12.4 Cross Product |
| Jul 13 (Thu) | Midterm Examination |
| Jul 17 (Mon) | 12.5 Lines and Planes in Space |
| Jul 18 (Tue) | 13.1 Vector Functions |
| Jul 19 (Wed) | 14.1 Functions of Several Variables |
| Jul 20 (Thu) | 14.2 Limits and Continuity |
| Jul 24 (Mon) | 14.3 Partial Differentiation |
| Jul 25 (Tue) | 14.4 The Chain Rule |
| Jul 26 (Wed) | 14.5 Directional Derivatives and Gradient Vectors |
| Jul 27 (Thu) | 14.6 Tangent Planes and Differentials |
| Jul 31 (Mon) | 14.7 Second Derivative Test and Saddle Points |
| Aug 1 (Tue) | 14.8 Lagrange Multipliers |
| Aug 2 (Wed) | Review / Catch Up |
| Aug 3 (Thu) | Final Examination |
Course Policies
Class Sessions
Though I understand there may be need to be late (especially with a class that meets this early), please make every effort to arrive to class on time: Lectures never make as much sense when you're playing "catch up" halfway through it. Cell phones, pagers, and the like should be turned off or set to silent mode during class. I encourage you to ask questions and have as MUCH FUN as possible during class.Grading
Homework will count for 25% of your final grade. Exams will cover 70% with this breakdown: midterm (30%) and final (40%). On the remaining four Thursdays, there will be a short quiz in the last 10 minutes of class. The quizzes will make up the remaining 5% of your grade.Academic Honesty
You are expected to be honest at all times. Though you are encouraged to work together on homework, what you turn in should represent your efforts. All exams will be closed book, closed notes. All electronic communication devices (cell phones, pagers, laptops, etc.) must be turned off and put away. You are expected to follow the UCD Code of Academic Conduct in all exams. Any violations of this code will be reported to Student Judicial Affairs for investigation and disciplinary action.The following statement will appear on the examinations: "With my signature, I certify that the work on this examination is wholly my own, and that: (1) I have not received any assistance from others, (2) I have not assisted anyone else, and (3) I have not used any reference material [books, notes, etc.] or tool [calculator, slide rule, pager, cell phone, laptop, etc.] not specifically authorized for this examination."
Homework
Homework Policy
Homework is assigned and due on each Monday and Wednesday. I encourage you to work on homework both alone and in groups. Try working on it alone first, and then discuss the harder questions together. All the work you turn in on HW should truly represent your own work, but I understand that a small percentage may be a solution that came from a friend.The homework portion of the grade will be calculated as follows: Your lowest two scores will not be dropped. Instead, they will be replaced with the average score of the other (better) eight HWs. This discourages simply not turning in an assignment, and it encourages you to focus on doing well on as many problems as you can as opposed to worrying about writing up stuff by blindly copying from others.
Homework should be turned in at the beginning of class if we haven't started yet. Otherwise, please wait until the end of class. Yes, this means that you could work on homework during class, but then you'd really miss out (on lectures and all its bad jokes).
HW Assignments
| # | Due | Assignment (required to submit) | Extra Problems (suggested; optional to submit) | Solutions/Hints |
| HW 1 | June 28 (Wed) | 11.1: 16, 24, 28, 30, 36, 42, 44, 56, 74, 100, 102 11.2: 2, 7, 12, 18, 24, 27, 30, 37, 39, 60b |
11.1: 4, 8, 12, 14, 23, 37, 41, 46, 75, 101 11.2: 8, 13, 16, 23, 40, 51, 61ab, 62, 67 |
11.1 #24 Hint; 11.1 #74 Hint; 11.2 #37 Hint; HW 1 Solutions HW 1 Extra Problems |
| HW 2 | July 3 (Mon) | 11.2: 29, 32, 48 11.3: 8, 11, 28 11.4: 3, 4, 5, 6, 8, 9, 23, 40 11.5: 2, 4, 5 |
11.2: 33, 64, 69 11.3: 1, 13, 23, 24, 25 11.4: 10, 11, 12, 15, 17 11.5: 3, 11, 13 |
11.2 #32 Hint; For 11.2 #33, use the method of section 11.4; HW 2 Solutions |
| HW 3 | July 5 (Wed) | 11.5: 6, 8, 12, 14, 22 11.6: 12, 17, 18, 46 Additional problems (not in book): HW 3 Mixed Bag |
11.5: 17 11.6: 1, 5, 21, 25, 27, 31 |
HW 3 Solutions Mixed Bag: Solutions HW 3 Extra Problems |
| HW 4 | July 10 (Mon) | 11.6: 14, 22, 34, 50 11.7: 1, 2, 4, 12, 22, 24, 40 (Do just the integration, and present your answer in Sigma notation), 42ab 11.8: 9 (use Sigma notation), 14 (use Sigma notation), 22 (don't use Sigma notation: write out the entire Taylor series), 28 (Sigma notation) |
11.6: 19 11.7: 3, 5, 11, 39 11.8: 5, 10, 11, 13, 23, 25, 27 |
HW 4 Solutions HW 4 Extra Problems |
| HW 5 | July 12 (Wed) | 11.9: 7, 8, 10 12.1: 2, 6, 20, 22, 30, 34, 36, 39, 46, 50 12.2: 6, 10, 16, 18 12.3: 2, 10 |
11.9: 1, 5, 11, 12 12.1: 9, 10, 12, 23, 39, 31, 35, 37, 38, 40, 42, 44 12.2: 7, 8, 23, 24, 36, 41, 43, 45 12.3: 17 |
HW 5 Solutions HW 5 Extra Problems |
| HW 6 | July 17 (Mon) | 12.2: 22, 26, 36 12.3: 4, 5, 14, 18 12.4: 4, 8, 9, 10, 18, 28, 38, 42 And one additional question: In section 12.4 each of exercises 16 and 18 describe a plane. What is the angle between the two planes? |
12.2: 20, 21, 25, 27 12.3: 13 12.4: 1, 2, 6, 14, 15, 16, 17, 27, 35, 39 |
Exercise 12.2 #26 Hint;
Angle Between 2 Planes; HW 6 Solutions HW 6 Extra Problems |
| HW 7 | July 19 (Wed) |
12.5: 1, 2, 20, 22, 24, 34, 42, 48, 59 13.1: 2, 5, 10, 12, 21, 22 |
12.5: 11, 14, 21, 26, 33, 35, 40, 43, 47, 61 13.1: 3, 6, 8, 9, 13, 33 |
HW 7 Solutions HW 7 Extra Problems |
| HW 8 | July 24 (Mon) | 13.1: 14, 16, 20, 24, 26 14.1: 1, 2, 10, 13-18, 24, 28, 30, 36, 38 14.2: 2, 4, 14, 28, 36 |
13.1: 15, 19, 25, 37abde 14.1: 3, 4, 6, 7, 9, 21, 23, 26, 27, 29, 35 14.2: 1, 3, 5, 13, 15, 21, 23, 24, 27, 33 |
HW 8 Solutions |
| HW 9 | July 26 (Wed) | 13.1: 36 14.2: 8, 18, 22, 40, 42 14.3: 2, 10, 15, 16, 24, 38, 42, 44, 48, 58 14.4: 2, 4 , 10, 14, 26 |
14.2: 37, 38, 39, 41, 43, 44 14.3: 3, 12, 13, 19, 31, 35, 45, 51, 52, 57 14.4: 1, 5, 7, 9, 11, 21, 25 |
HW 9 Solutions |
| HW 10 | July 31 (Mon) | 14.4: 5, 22, 34, 36 14.5: 2, 6, 8, 10, 14, 16, 18, 20 14.6: 2, 3, 4, 28a, 36 |
14.4: 16, 17, 18, 20, 23 14.5: 7, 15, 21, 23 14.6: 5, 6, 7, 13, 14, 29b, 30b, 31, 33, 37a |
HW 10 Solutions |
- 14.7: 2, 6, 8, 22, 24, 26, 32
- 14.8: 2, 8, 17, 18, 25, 26
- Solutions
Quizzes
Policy
There will be no make up quizzes. Quizzes will be closed book and closed notes, no calculators. On any reasonable suspicious activity, you will be asked for a picture ID.- Quiz 1, (Thu) June 29: Covers up to section 11.2
- Quiz 2, (Thu) July 6: Covers up to section 11.6
- Quiz 3, (Thu) July 20: Covers up to section 13.1
- Quiz 4, (Thu) July 27: Covers up to section 14.3
Exams
Exam Policy
There will be no make up exams. Please double check the exam dates. Unless there is an announcement stating otherwise, exams will be closed book and closed notes. If there is any suspicious activity, you may be asked for a picture ID.Exam Dates
The midterm was given on Thursday, July 13, 2006 in class (time and location are in the regular classroom). The test covers Chapter 11 (sections 1 through 9) and Chapter 12 (sections 1 through 2).The Final Exam will on Thursday, August 3, 2006 in class (time and location are as usual). The test covers all the course material, but with an emphasis on stuff not covered by the midterm (probably 12.1 and onward).
Practice Exams, Old Exams, and Solutions
Practice Midterm: Here is a copy of the practice midterm, and the solutions to the practice midterm.Midterm: Here is a blank copy of the midterm and the midterm solutions.
Practice Final: Here is a copy of the practice final, and the solutions to the practice final.
Final: Here is a blank copy of the final exam, and the solutions to the final exam.
In-class handouts/demonstrations
- Syllabus (this page): http://www.math.ucdavis.edu/~ekim/teaching/0506/summer1/21C
- First day questionnaire
- Sequences Summary
- Series Summary
Resources and Advice
Resources
The Learning Skills Center is offering free summer tutoring. UC Davis provides free academic assistance to students enrolled in 21C during the Summer sessions. Students can sign up for tutoring and workshops at the Learning Skills Center located at 2205 Dutton beginning on the first day of instruction.- TUTORING: Small group tutoring is provided one to days per week.
- DROP-IN SERVICES: Drop-in services are available for students who need immediate assistance with subject material. Students do not need to sign up through the LSC to use this service. Just walk in and learn. Drop-in is usually available for Math classes Monday-Friday, 9:00 a.m. to 4:00 p.m.
- WORKSHOPS: Workshops are led by LSC Specialists who are UCD Student Affairs professional staff with extensive teaching experience in their subjects. Mat 21c workshops are on Tuesdays and Thursdays, 1:10-2:00 p.m.
- Prof. Dmitry Fuchs - Math 21C
- Prof. Naoki Saito - Math 21C (Spring 2006)
- Prof. Tom Sallee - Math 21C (Spring 2006)
- Dr. Duane Kouba - Math 21C (ESP)
- Dr. Duane Kouba - Math 21C (Spring 2006)
- Dr. Duane Kouba - Math 21C (Spring 2005)
- Mike Williams - Math 21C (Winter 2006)
- Dr. Lawrence Marx - Math 21C
My Advice
Since this is a summer school, we will be flying quickly! Don't fall behind. Ideally, you would be spending a MINIMUM of two hours outside of class after each session, excluding the time it takes to write up homework. If you try to do the homework and you have to keep looking back at the "lesson" part of the textbook, this is a sign of trouble. Normally, understanding a lecture might be enough, but in the summer, I advise that you read the book's lesson prior to the lecture day, and also after lecture. Read the text and review lectures BEFORE starting the homework. Ask questions in class!! No question is "too dumb."Form study groups. You should try the problems on your own, but we all get stuck on something, and that's okay! Since different people grasp different concepts better, you shouldn't think that you're "cheating yourself" out of the HW. Struggle on the homework on your own, for sure. But if some question is really hard for you, ask someone to explain the answer for you all the way through. You'll probably return the favor to them some time, and you'll both save time! Also, you learn the material better by teaching it to someone else.
If you visit office hours, I don't mind giving a full solution to one or even several questions. But be willing to stretch yourself before making your visit: would you rather struggle before the test (on your homework) or during the test?
Lastly, have fun! This is summer, and you migt even be taking another class this session. Manage your time well, and hopefully you'll still have time to do fun things!!