Math 20 : Calculus - Winter 2008

v Math 20 : Calculus - Winter 2008 Last updated: March 11th, 2008.

Math 20 : Calculus - Winter 2008

This is the combined webpage for both sections. Course assistants, grading, office hours and such will be combined for the two sections.

Section 01: TTh 9:30-10:45 in 380F
Section 02: TTh 11:00-12:15 in 380F

Text: Stewart, Calculus: Concepts and Contexts, 3rd ed.
Instructor: Ben Lee, blee at math dot stanford dot edu (midfield at stanford dot edu), Sloan 381-C
Course Assistants: There are 2.
Joseph Cheng, mccheng at stanford dot edu, Sloan 381-G
Penka Georgieva, pvg at stanford dot edu, Sloan 381-H

Office Hours:
Monday 2-4 Joseph 381G
Tuesday 1-2,3:30-4:30 Ben 381C, 5-7 Joseph 381G
Wednesday 5-9 Penka 381H
Thursday 1-2,3:30-4:30 Ben 381C

HW Graders: Grading for both classes:
Seungmyung Lee y2smile at stanford dot edu
Junil Park junil.park at stanford dot edu

I've been told that tutoring resources can be found at http://tutoring.stanford.edu.

Course diary and Homework assignments

Homework is assigned every day. Homework assigned Tuesday is due on the following Friday at 5PM. Homework assigned Thursday is due in 8 days time, the next Friday at 5PM. Homework should be turned in during class or in the manilla envelope in my box on the first floor of Sloan across from the elevator.

Any questions regarding homework and homework grading (late homework, missing homework) should be directed towards the homework graders (email addresses above.)

* - indicates a "challenging problem" which is "for fun."

1/8: logistics; definition of Riemann sum and definite integral; continuous functions are integrable; right and left Riemann sums.
1/10: signed distances; how to compute the definite integral via Riemann sums; sigma notation. HW due 1/18: 5.1: 2, 4, 20, 24*; 5.2: 2, 10, 22, 24, 28, 32, 34.
1/15: steps to computing Riemann integrals; properties of the definite integral. HW due 1/18: 5.2: 40, 42, 46, 48*.
1/17: the fundamental theorem of calculus; antiderivatives and indefinite integrals. HW due 1/25: 5.3: 2, 4, 6, 8, 10, 12, 18, 22, 26, 28, 30, 38, 42, 46, 52; 5.4: 6, 10, 16, 18, 25, 26.
1/22: mean value theorem / rolle's theorem; proof of FTC; u-substition; lots of examples. HW due 1/25: 5.5: 2, 6, 10, 42.
1/24: more on u-substitution; lots of examples; parts; more examples.
1/29: midterm 1 (in class.) HW due 2/1: 5.6: 2, 4, 8, 14, 16, 18, 22*, 24*
1/31: midterm 1 post-morteum.
2/3: course drop deadline.
2/5: Techniques of integration: powers of sin / cos, reduction formulas from parts; trig substition. HW due 2/8: 5.6: 12, 20, 33, 34, 38*; 5.7: 2, 4, 6, 8, 10, 14.
2/7: Partial fractions. Additional material on Trigonometric Substitution, Trigonometric Integrals, and Integration Strategy. Hereafter these will be referred to as chapters TS, TIand IS. HW due 2/15: 5.7: 16, 18, 22, 28, 30, 32; TS: 4, 16, 18, 26, 28; TI: 4, 6, 16; IS: 4, 8, 14, 18, 20.
2/12: More on integrals. Powers of sec, tan. Completing the square.
2/14: More on integrals. Integral one pager. (I'm going to reformat this into probably a two-pager so that it is easier to read.) Areas between curves; start of volumnes. HW due 2/22: 6.1:2, 4, 8, 10, 14, 16, 29*; 6.2: 2, 4, 6, 10, 12.
2/19: Volumes, solids of revolution. HW due 2/22: 6.2: 8, 26, 30, 32, 34, 39*, 41*, 42*, 43*, 46.
2/26: Midterm 2.
2/28: Midterm post-morteum.
3/2: Course withdraw deadline.
3/4: Cylindrical shells; start of improper integrals. HW due 3/7: 5.10: 2, 6, 10, 12, 20; 6.2: 50, 52, 54.
3/6: More on improper integration.
3/11: Gabriel's horn; comparison for improper integrals; physics and work. HW (due in class 3/13): 6.5:6, 12, 14, 18; 5.10: 42, 44, 48*

Important dates

Course Drop Deadline: Sunday, February 3rd
Course Withdraw Deadline: Sunday, March 2nd

The test dates will NOT be changed for any reason except dire emergency. I'm publishing the exam dates now, plan accordingly.

Midterm 1: Tuesday, January 29th
Midterm 2: Tuesday, February 26th
Final: In 420-041 Jordan Hall; Monday, March 17th, 7-10PM

Repeat: the test dates will NOT be changed for any reason except dire emergency. If you have special circumstances please let me know well, well in advance.

Policies

Required reading: the Honor Code.

Grades: Homework 5%, Midterm 1 25%, Midterm 2 25%, Final 45%. Homework, however, is the best way to prepare for the exams.

On test regrading: occasionally we make errors in grading. The policy is: we will accept regrade requests only basically immediately after the midterms have been returned. So if they come back in class, check over it carefully in class, and if you think we've made a mistake, make a note of it on the FRONT of your test, and hand it back at the end of class. If you get your test from me in office hours or otherwise, check over it right then and there. If you submit your test for regrading, we reserve the right to completely regrade your test, including deducting points.

Here are conversations you can expect if you ask about what is going to be on the exam:

Student: What's going to be on the exam?
Teacher: Do your homework.
Student: Is XXX going to be on the exam?
Teacher: It is now.

One side of half a sheet of paper of scribbles will be allowed during exams, otherwise no notes.

No graphing calculators are allowed during the examinations. Using graphing calculators for the homework is not recommended, since you won't have them during the exams. A non-graphing calculator will be provided during the exams, but should not be necessary.

No late homework. To be lenient, your 2 lowest homework scores are dropped automatically. Cooperation is encouraged on homework, but write up your assignments on your own after discussing with other students; to do so otherwise is cheating and will be treated seriously. Repeat: No Late Homework. If you must turn in something late, contact the graders -- it is up to them whether or not to accept late homework.

Send me an email with your name, where you live, when you like to work, etc, and I'll make a web page for people looking for people to work with.

Your questions, comments and suggestions are welcome: ask in class, drop by office hours, or send email anytime.

Syllabus

The goal for the year is to finish most of the book; the goal for this quarter is chapters 5, 6, and maybe some of 7.

Should I take Math 20?

If you're worried that you might not be prepared, you are welcome to ask me about it, after class or in office hours, or on email. My experience is that as long as you have time for office hours (maybe every week) and a lot of homework (maybe even a little extra), anyone can do well in this class. However if you don't have that kind of time it might be a problem if you need extra help.

If you're worried this might be too slow you can look try Math 41.

I would recommend contacting Brian White (white at math dot stanford dot edu) or Greg Brumfiel (brumfiel at math dot stanford dot edu) if you have further questions.

"Mathematics begins in bewilderment, and ends in bewilderment."