Math 21C-2, Summer Session I, 2008

Course Information

Instructor: Matt Rathbun

Office: 2125 MSB

E-Mail: mrathbun@math.ucdavis.edu

Course Time: MTWTh 9:00 - 10:40 am

Course Location: 261 Olson

CRN: 57062

Office Hours: MTuWTh 11-12, TuTh 12-2, and by appointment

Text: Thomas' Calculus: Early Transcendentals, 11th ed. by Weir/Hass/Giordano.

Updates

8/4: Grades are submitted! Thank you everyone for making this a wonderful class!!!
If you want to see your Final Exam or solutions, please e-mail me. Best!

7/30: Solutions to HW #11 are posted. Sorry they are not hand-written.
Good luck on the Final tomorrow!! (Regular room and time)
Please also note: There was a mistake in the solution to Problem 4 on the Practice Final. This has now been corrected.

7/29: Here are the solutions to the Practice Final.
Please note that there were some issues with some of the problems in the Practice Final. Some were calculational nightmares, and one (Problem 8) had a typo that made it impossible to solve. The Final should not be quite this hard.
Also, please be prepared with questions for tomorrow's Review!

7/28: Solutions to HW #8, 9, and 10 are posted.
Here is the Review Sheet for the Final. Please prepare questions for the REVIEW on Wednesday!
Here is a Practice Final.

7/16: Solutions to HW #7 are now posted. Good luck on the Quiz tomorrow (Sections 13.1-13.4, 14.1-14.2)!

7/15: There is a small correction to the solutions to HW #6. The corrected solutions are posted.

7/13: Here are the solutions to the Midterm.

7/7: Here is a Practice Midterm with solutions.
Solutions to HW #4 are now posted, and there was a small correction to the solutions to HW #3, Section 11.5, #38
Remember to study for the Midterm on THURSDAY!

7/2: Solutions to HW #3 are now posted (as well as HW #2).
Quiz #2 is tomorrow! Remember to study definitions and proofs covered in class. The Quiz will cover up to section 11.9!!

6/30: I am updating my office hours further. MTWTh 11-12, TuTh 12-2.
Take the new survey to tell me how I'm doing at my.ucdavis.edu

6/25: Solutions to HW #1 are now posted.
Quiz #1 is tomorrow! Remember to study definitions and proofs covered in class!
I have updated Office Hours. I will be available at least on Tuesdays from 12-2 in addition to previous hours.

Introduction

This is a "conceptual course." This means that you will be expected to know definitions, understand proofs, apply concepts to new settings, and solve problems creatively. Contrary to common belief, Mathematics is not about calculations or "plugging and chugging." It is about rigor, logic, and creativity. While a large emphasis will be placed on your ability to "do problems," my goal is that you will take away from this course a new method of analysis that you will be able to apply in many interesting situations and settings.

Secondly, I want to emphasize the difficulties we will face because this is a Summer course. Calculus is a very deep subject, and you need time to think about the concepts, and absorb the information. I will be covering material very quickly, because there is a lot to cover. In order to keep up with the material, you will need to spend several hours per week studying and working problems outside of class. I will be available in Office Hours for consultation. But the onus is on you to make sure you do not fall behind.

Course Policies

Deadlines: Official deadlines to drop, add, etc. are maintained by Summer Sessions and can be found here.
You are responsible for knowing and keeping these deadlines.

Students with Disabilities: Please refer to the SDC Webpage for the relevant policies and procedures.

Prerequisites:
- Enrolling in Math 21C requires having passed 21B with a grade of D- or better, or the equivalent, e.g., a score of 5 on the BC advanced placement calculus exam.
- If you got a grade of C- or better in 21B, you're in reasonable shape. Just make sure you review things you were shaky on in 21A and 21B.
- If you got a D in 21A, review derivatives now. If you wish to repeat 21B, you may take 21B and 21C concurrently. You are not allowed to repeat 21B after successful completion of 21C.
- If you took 16B but not 21B, sorry, you have to take 21B.
- If you took and passed 16C or 17C, you will receive full credit for 21C.

Attendance: Attending lectures is highly recommended. That being said, it is up to you to learn the material. If you choose not to attend lectures, it is your responsibility to know what was covered in lecture by getting the notes from a friend, or whatever. I know the class is early. If you are late to class, please try to be as respectful as possible to those who are already in class trying to pay attention. Also, please silence all cell phones or pagers before coming to class.

Academic Honesty: You are expected to follow the UCD Code of Academic Conduct. Any violations of this code will be reported to Student Judicial Affairs for investigation and disciplinary action. You are encouraged to work together on homework, but you should first attempt all problems on your own. And while for the more difficult problems, you may appeal to someone else for help, what you submit should represent your own efforts. This means that you should not blindly copy another's work, but should be able to write up your own solution based on what you have learned from your peers. All exams are to be completed by yourself, without the use of books, electronic devices, or any notes not specifically authorized by me.

Homework:
- The homework problems will be the best way to learn the material, because the most effective way to learn Calculus is through practice, and wrestling with the concepts through problems.
- For practical reasons, only a small subset of the assigned problems will be graded. Your homework grades will be based on your solutions to selected problems, as well as a grade for completion. Solutions will be posted, so that you can evaluate your own solutions more thoroughly.
- All homework is to be turned in by the end of lecture on the day that it is due. No late homeworks will be accepted. If you will not be able to attend lecture, please arrange to have a friend turn in the homework for you, or slip it under my office door (2125 MSB) before the end of lecture the day that it is due.
- I will drop your lowest two homework scores.

Exams and Quizzes:
- There will be four Quizzes (on June 26, July 3, July 17, and July 24), one Midterm Exam (on July 10), as well as an in-class Final Exam (on July 31).
- There will be no make-up Exams or Quizzes. No exceptions.
- If you miss the Midterm or a Quiz for a valid reason, documentation will be required, and investigated. Your scores on the questions on the Final Exam reflecting the relevant material will be used to replace your score for the missed Midterm or Quiz.
- If you cannot take the Final Exam at the scheduled time, you will fail the course. The only exception is for students concurrently enrolled in another Math 21 course. Such students should notify the Instructors for both courses well in advance of the Final.
- I will drop your lowest Quiz score.
- There will be no calculators allowed on the Quizzes or Exams.
- Be sure to write neatly on your exams, as you are being graded on the clarity of your solutions. If I have difficulty reading your solution, you may not recieve full credit, even if it is correct. Further, please write your name clearly and legibly on the front of the exam. If I cannot read your name, your exam will be deducted two points.

Regrades:
- If you do want to submit your Midterm or Quiz for regrading, please write a short note on the front of your exam citing which problems you would like to have reviewed and why.
- Be advised, if you submit your Midterm or Quiz for any reason besides a miscalculation of points, I will review your exam much more carefully, and you may have points deducted from your score. Solutions will be posted, so be sure that there was an error in grading before you give your test back hoping for extra points.
- I will be photocopying a sample of the Quizzes and Midterms. If anyone is caught having erased incorrect answers and resubmitting their test for regrades will be reported to Student Judicial Affairs (See Academic Honesty above).

Calculator Policy: There is an excellent discussion of why I do not allow calculators here.

Grading

Your final grade will be calculated using the following weights:
Homework: 15%
Midterm: 25%
Quizzes: 25%
Final Exam: 35%

Homework

#	Due Date	Assignment	Solutions
HW 1	June 25 (Wed)	Study this webpage. Study sections 11.1, 11.2 11.1 1, 3, 5, 7, 9, 13, 19, 21, 24, 30, 37, 38, 39, 71, 106, 117 11.2 7, 11, 14, 15, 27, 32, 43, 51, 59, 61, 62, 68	HW 1
HW 2	June 30 (Mon)	Study sections 11.3, 11.4 11.3 6, 9, 10, 15, 22, 24, 31, 35 11.4 2, 3, 6, 8, 10, 13, 25, 27, 28, 38, 39	HW 2
HW 3	July 2 (Wed)	Study sections 11.5, 11.6, 11.7 11.5 2, 4, 8, 9, 25, 26, 29, 32, 38, 43, 44 11.6 1, 4, 6, 8, 18, 45, 47, 58 11.7 6, 9, 15, 16, 18, 41, 42, 45, 46	HW 3
HW 4	July 7 (Mon)	Study Sections 11.8, 11.9 11.8 8, 9, 13, 19, 26, 32, 33, 34 11.9 1, 2, 4, 8, 15, 21, 31, 46, 48 Σ (3^n)/(5^n n!), Σ [(-1)^n (π)^(2n+1)]/[4^(2n+1) (2n+1)!]	HW 4
HW 5	July 9 (Wed)	Study Sections 12.1, 12.2, 12.3, 12.4 12.1 1, 6, 21, 28, 54 12.2 4, 11, 12, 14, 18, 42, 44 12.3 4, 6, 17, 18, 21, 28, 32 12.4 2, 3, 6, 15, 16, 27, 28, 31	HW 5
HW 6	July 14 (Mon)	Study Sections 12.5 12.5 1, 3, 18, 19, 23, 25, 26, 30, 35, 36, 39, 42, 53, 55, 56, 57, 61, 68, 69, 73	HW 6
HW 7	July 16 (Wed)	Study Sections 13.1, 13.2, 13.3, 13.4 13.1 2, 3, 10, 16, 21, 24, 28, 29, 37 13.2 2, 12, 25 13.3 1, 5, 9, 11, 18 13.4 9, 14, 17	HW 7
HW 8	July 21 (Mon)	Study Sections 14.1, 14.2 14.1 1, 2, 9, 13-18, 25, 30, 42 14.2 1, 7, 13, 19, 32, 37, 50	HW 8
HW 9	July 23 (Wed)	Study Sections 14.3, 14.4, 14.5 14.3 1, 2, 3, 10, 22, 26, 37, 41, 43, 48, 57, 58, 68, 71 14.4 2, 5, 13, 19, 26, 33, 34, 36, 40	HW 9
HW 10	July 28 (Mon)	Study Sections 14.5, 14.6 14.5 2, 3, 5, 6, 8, 9, 13, 16, 17, 18, 25, 26, 29, 31 14.6 1, 4, 5, 8, 17, 19, 22, 40, 51, 54	HW 10
HW 11	July 30 (Wed)	Study Sections 14.7, 14.8 14.7 1, 2, 3, 4, 26, 27, 28, 31, 32, 35, 37, 39, 45, 57 14.8 1, 2, 7, 13, 16, 20, 24, 28, 31, 37, 41	HW 11

Schedule of Lectures

The following is a schedule of what we have covered, and a tentative schedule of what I hope to cover:

Date	Sections
June 23 (Mon)	11.1 Infinite Sequences
June 24 (Tue)	11.2 Infinite Series
June 25 (Wed)	11.3, 11.4 Integral Test and Comparison Test
June 26 (Thu)	11.4 More on Comparison Test, Quiz 1

June 30 (Mon)	11.5, 11.6 Ratio and Root Tests, Alternating Series
July 1 (Tue)	11.7 Power Series
July 2 (Wed)	11.8, 11.9 Taylor and Maclaurin Series, Convergence and Error Estimates
July 3 (Thu)	11.9 More on Convergence of Taylor Series and Error Estimates, Quiz 2

July 7 (Mon)	12.1, 12.2 Three-Dimensional Coordinate Systems, Vectors
July 8 (Tue)	12.3, 12.4 Dot Product, Cross Product
July 9 (Wed)	12.5 Lines and Planes in Space
July 10 (Thu)	MIDTERM

July 14 (Mon)	13.1, 13.2 Vector Valued Functions, Projectile Motions
July 15 (Tue)	13.3, 13.4 Arclength, Tangent Vectors, Curvature and Normal Vectors
July 16 (Wed)	14.1, 14.2 Functions of Several Variables, Limits and Continuity in Higher Dimensions
July 17 (Thu)	14.2, More on Limits and Continuity in Higher Dimensions, Quiz 3

July 21 (Mon)	14.3 Partial Derivatives
July 22 (Tue)	14.4, 14.5 Chain Rule, Directional Derivatives and the Gradient
July 23 (Wed)	14.5 More on Directional Derivatives and the Gradient
July 24 (Thu)	14.6, Tangent Planes and Differentials, Quiz 4

July 28 (Mon)	14.7 Extreme Values and Saddle Points
July 29 (Tue)	14.8 Lagrange Multipliers
July 30 (Wed)	Review
July 31 (Thu)	FINAL EXAM

Resources

The Learning Skills Center offers drop-in tutoring during the summer. The location is 2258 Dutton Hall from 10:00am - 4:00pm, M - F.

The Calculus Page

Dr. Kouba's Calculus Tips