Math 20, Spring 2017 — Schaeffer**Integral Calculus**

**General information and preliminaries**

**Course policy:**The complete (and rather long) version and a summary of the main points.**If you are on a Stanford University Athletics team:**please fill out the athletics survey**If you have an accommodation from the OAE:**please inform Dr. Schaeffer of the details by email as soon as possible.**The exam dates:**Midterm 1 is on__Friday, April 28th__(1:30–2:20 PM), Midterm 2 is on__Wednesday, May 24th__(1:30–2:20 PM), and the final is on__June 9th__(7–10 PM).

Dr. Schaeffer must be informed (by email) of any non-emergency exam conflicts**at least two weeks**in advance.

**Piazza, Gradescope, Grade Redress Form**

- Piazza is where to go to ask homework questions and anything else about the course material.
- Scores on homework/quizzes/exams will be recorded on Gradescope, and your exams will be
*graded*there as well. - If you can't access either of these sites, let me know (by email) as soon as possible.
- Grade redress form.

**Lectures, Discussions, and Office Hours**

Monday | Tuesday | Wednesday | Thursday | Friday | |
---|---|---|---|---|---|

Schaeffer | Lec. 1:30–2:20 PM (380-X) O.H. 4:30–5:00 PM |
Lec. 1:30–2:20 PM (380-X) O.H. 3:00–4:30 PM (381-G) |
Lec. 1:30–2:20 PM (380-X) |
||

Datta | O.H. 4:30–6:30 PM (381-A)* | O.H. 5:45–7:45 PM (381-A)* | |||

Hui | O.H. 3:30–4:30 PM (380-L) | O.H. 3:00–4:30 PM (380-L) | O.H. 4:30–6:00 PM (380-L)* | ||

Leal-Cavazos** | Tut. 6:00–9:00 PM (381-U)* | Tut. 6:00–9:00 PM (381-T)* | Tut. 5:00–7:00 PM (381-U)* |

* Note that in order to enter the first floor of Building 380 after 4:30 PM you may need to use the

If you cannot make any of these times, you should ask your question on the Piazza site! Additionally, VPTL provides free tutoring for the Math 19/20/21 sequence; see

** Ramiro Leal-Cavazos is a tutor hired by the Math Department for Math 19/20/21.

**Homework**

- Homework 1 (due Friday, April 14th), solutions
- Homework 2 (due Friday, April 21st), solutions
- Homework 3 (due Wednesday, April 26th), solutions

NOTE: For problems in 7.3 you will need the complete integration table (most copies of the textbook are missing the second page) - Homework 4 (due Wednesday, May 10th), solutions
- Homework 5 (due Friday, May 12th), solutions
- Homework 6 (due Monday, May 22nd)—Problem 11.6.30 canceled (for now!), solutions
- Homework 7 (due Wednesday, May 31st): Just do problem 11.6.30. The HW7 grade will be for good-effort completion. solutions
- Homework 8 (due Wednesday, June 7th), solutions

**Readings and Quizzes**

- These quizzes are administered using Stanford Google Drive. You may have problems logging in if you are logged into a personal google/gmail account. Here's how to deal with that issue:
- Navigate to google drive.
- If prompted, sign in with your Stanford email and password.
- If you are logged into another google account, it will take you to that account's google drive page (rather than prompting you to sign in). Once there, in the most upper right hand corner there is a circle with your profile pic/initials. Click on that, then click "add account," then sign in with your Stanford email and password.
- You should now be able to switch between your personal and Stanford google accounts by clicking the circle in the upper right hand corner.
- The links to the reading quizzes should now work as long as you remain signed into your Stanford account (even if you are still logged in on another account).

- Reading quizzes are open-book/notes
__tests__.**You may not collaborate on them with other students or receive any other outside help.** - Reading Quiz 1 (Sections 5.1 and 5.2), due at
__noon__on Friday 4/07 - Reading Quiz 2 (Sections 5.3 and 5.4), due at
__noon__on Wednesday 4/12 - Reading Quiz 3 (Sections 8.1 and 8.2 up to and including Example 4), due at
__noon__on Friday 5/05

**Lectures and Handouts**

- Lecture 1 (4/03): Easy problems and hard problems, Riemann sums (5.1)
- Lecture 2 (4/05): Definite integrals (5.2)
- Lecture 3 (4/07): Interpreting definite integrals, the fundamental theorem of calculus (5.2 and 5.3)
- Lecture 4 (4/10): Antiderivatives, indefinite integrals (6.2)
- Lecture 5 (4/12): Integration by substitution (7.1)
- Lecture 6 (4/14): Integration by substitution (7.1)
- Lecture 7 (4/17): Integration by substitution (7.1)
- Lecture 8 (4/19): Integration by parts (7.2)
- Lecture 9 (4/21): Integration by parts and using a table (7.2 and 7.3)
- Lecture 10 (4/24): Integration using a table and other methods (7.3)
- Lecture 11 (4/26): Review
- Lecture 12 (4/28): Midterm 1
- Lecture 13 (5/01): Area and volume integrals (8.1)
- Lecture 14 (5/03): Volume integrals (8.1, 8.2)
- Lecture 15 (5/05): Volume integrals (8.2)
- Lecture 16 (5/08): Specific antiderivatives, 1-dimensional movement (6.3)
- Lecture 17 (5/10): Separation of variables (11.4)
- Lecture 18 (5/12): Worksheet day!
- Lecture 19 (5/15): Autonomous diff. eq., equilibria (11.2, 11.5)
- Lecture 20 (5/17): Modeling problems (11.6)
- Lecture 21 (5/19): Modeling problems (11.6)
- Lecture 22 (5/22): Review
- Lecture 23 (5/24): Midterm 2
- Lecture 24 (5/31): Parametric curves, motion in multiple dimensions (4.8)
- Lecture 25 (6/02): Parametric curves, motion in multiple dimensions (4.8)
- Lecture 26 (6/05): Arc length (8.2), review
- Lecture 27 (6/07): Review
- Final Exam on 6/09

**Midterm 1**

- Midterm 1 is scheduled for 1:30–2:20 PM on Friday, April 28th (location 380-X).
- Midterm 1 expectations (what you need to know for the exam)
- Integrals you should know
- Practice Midterm 1A (solutions)
- Practice Midterm 1B (solutions)
- Midterm 1 solutions.

**Midterm 2**

- Midterm 2 is scheduled for 1:30–2:20 PM on Wednesday, May 24th (location 380-X).
- Midterm 2 expectations (what you need to know for the exam)
- Practice Midterm 2, (solutions)
- Midterm 2 solutions

**Final Exam**

- The final exam is scheduled for 7:00–10:00 PM on Friday, June 9th in 380-Y (near the room we usually have class).
- Final exam expectations
- Practice final exam (solutions)
- More final exam practice problems (solutions—note that there are some extra problems in the solutions; just ignore these)

**Extra Help**

- The official Math 21 Piazza page [If you need access to Piazza and do not yet have it, email me and I will get you enrolled!]
- Tutoring: VPTL individual appointments (free), VPTL drop-in tutoring (free)

**Important Dates**

- (4/03)
~~First day of class!~~ - (4/14)
~~Homework 1 due.~~ - (4/21)
~~Homework 2 due.~~ - (4/26)
~~Homework 3 due.~~ - (4/28)
~~Midterm 1 (in class).~~ - (5/10)
~~Homework 4 due.~~ - (5/12)
~~Homework 5 due.~~ - (5/22)
~~Homework 6 due.~~ - (5/24)
~~Midterm 2 (in class).~~ - (5/29)
~~Memorial Day Holiday (no class or office hours).~~ - (5/31)
~~Homework 7 due.~~ - (6/07)
~~Last day of class, homework 8 due.~~ - (6/09) Final Exam (7–10 PM).