Final Exam: Monday, May 18th, 2009
The Exam
The exam and solutions are now available. (As originally posted, the table in 9(a) was gibberish. This was corrected 3:30 PM, Tue May 26.)
Review Sessions
There will be two review sessions for the final exam:
- Thursday, May 7th, 3:30 to 5:00 PM in Science Center Hall A
This first review session covered only the material since the second midterm. It was run by Peter Garfield. The review problems are available, as are some answers/solutions. There is video available on iSites. - Monday, May 11th, 3:30 to 5:00 PM in Science Center Hall A
This second review session covered only the material covered on the two midterms. It was run by Janet Chen. The review problems are available, as are some solutions. There is video available on iSites.
Handouts, overheads, and videos will be linked here after the sessions.
Sample Exams
Here are some old final exams, courtesy of former instructors of this course:
- First Old Final Exam and Solutions (posted 3:50 PM Thu May 14)
Corrections Made:- The solution to Problem 13(a) had the radius r incorrect (it should be Sqrt[2], not 2). Fixed Thu May 14, 9:35 PM. Thanks Andrew!
- For Problem 6, part (b) is also true, as it is a scalar integral and orientation is unimportant. Fixed Fri May 15, 11:25 AM. Thanks Janet!
- For Problem 14(b), there was a small typo. It should be 3y2 not 3y3. Fixed Fri May 15, 11:25 AM. Thanks Janet!
- Second Old Final Exam and Solutions (posted 9:30 PM Fri May 15)
Corrections Made:- The solution to Problem 7 had an extra h in it, which complicated the answer. Fixed Fri May 15, 11:55 PM. Thanks Lilly!
- The solution to Problem 11(b) turned out to be the solution to an entirely different problem. (I mis-read the statement, sorry.) Then it turned out I made a sign error when integrating over the linear piece. Fixed Sat May 16, 7:05 AM. Thanks Lilly!
- The solution to Problem 12 had a 2 as a limit on the r integral that should have been a 3. Fixed Fri May 15, 11:55 PM. Thanks Lilly!
- Third Old Final Exam and Solutions (posted 10:40 AM Sat May 16)
Corrections Made:- The solution to Problem 1, fourth T/F question, was essentially correct, but had a mis-calculated directional derivative. It should have been Sqrt[12], not 1. Fixed Sun May 17, 7:40 PM. Thanks Lilly!
- Fourth Old Final Exam and Solutions (posted 11:50 PM Sat May 16)
Corrections Made:- Problem 3 had duplicate pictures (II and VI were the same). Fixed Tue May 12, 1:40 PM. Thanks Janet!
- Problem 9 was missing two square root signs that made it very difficult. Fixed Thu May 15, 11:30 AM. Thanks Amy W. & Janet!
- Problem 11 had path q backwards in the picture (but not in the description. Fixed Thu May 14, 6:45 PM. Thanks Amy W.!
Caution! These exams were not written by us and will not necessarily reflect the style of problems you will see on the midterm. Also, writing exams requires some compromises on what topics are emphasized. Again, these exams do not reflect our own biases, and even if a particular topic is not covered in depth on the sample exams it may still appear on the actual exam.
You are strongly urged to work the exam problems without looking at solutions.
Reading Week Office Hours
Here are all of our announced office hours, in chronological order. On the Teaching Staff page you can find these same hours listed by TF / CA.
| Date | Time | Who | Where |
|---|---|---|---|
| Monday, May 4 | 2:00–4:30pm | Peter Garfield | SC 422 |
| 2:30–4:30pm | Janet Chen | SC 427 | |
| 3:00–4:00pm | John Hall | SC 420 | |
| Tuesday, May 5 | 11:00am–Noon | Justin Grosslight | SC 454 |
| 1:30–4:30pm | Peter Garfield | SC 422 | |
| 5:00–6:00pm | Justin Grosslight | SC 454 | |
| Wednesday, May 6 | 11:00am–Noon | John Hall | SC 420 |
| 2:00–4:30pm | Peter Garfield | SC 422 | |
| 11:00am–1:00pm | Janet Chen | SC 427 | |
| Thursday, May 7 | 11:00am–Noon | Peter Garfield | SC 422 |
| 1:00–3:00pm | Jenny Wang | Lowell Dining Hall | |
| 3:30–5:00pm | Review Session | SC Hall A | |
| Friday, May 8 | 1:00pm–3:00pm | Beatrice Liem | Winthrop Owens Room (classroom in G entryway) |
| 2:30pm–4:00pm | Janet Chen | SC 427 | |
| 5:00–6:00pm; 7:00–8:00pm | Jun Yin | SC 230 | |
| Sunday, May 10 | 3:00–5:00pm | John Hall | SC 420 |
| Monday, May 11 | 10:00–11:30am | Peter Garfield | SC 422 |
| 1:00–3:00pm | Andrew Ostergaard | Greenhouse Cafe | |
| 1:30–3:00pm | Peter Garfield | SC 422 | |
| 3:30–5:00pm | Review Session | SC Hall A | |
| 5:00–6:00pm; 7:00–8:00pm | Jun Yin | SC 230 | |
| 6:00–7:00pm | Michael Diodato | Greenhouse Cafe | |
| Tuesday, May 12 | 11:00am–Noon | Justin Grosslight | SC 454 |
| 5:00–6:00pm | Justin Grosslight | SC 454 | |
| 5:00–6:00pm; 7:00–8:00pm | Jun Yin | SC 230 | |
| 6:00–7:00pm | Michael Diodato | Greenhouse Cafe | |
| Wednesday, May 13 | 3:00–4:00pm | John Hall | SC 420 |
| 5:00–6:00pm; 7:00–8:00pm | Jun Yin | SC 230 | |
| Thursday, May 14 | 11:00am–1:00pm | Janet Chen | SC 427 |
| 5:00–6:00pm; 7:00–8:00pm | Jun Yin | SC 230 | |
| Friday, May 15 | 10:30am–12:00noon | Peter Garfield | SC 422 |
| 1:00–3:00pm | Anna Marie Wagner | Holworthy Common Room | |
| 2:30–5:30pm | John Hall | SC 420 | |
| 2:30–5:00pm (NOT 1:30–4:00pm) | Peter Garfield | SC 422 | |
| 5:00–6:00pm; 7:00–8:00pm | Jun Yin | SC 230 | |
| 7:00–9:00pm | Dan Mark | Adams D-hall | |
| Sunday, May 17 | 1:00–3:00pm | Peter Garfield | SC 422 |
| 3:00–5:00pm | John Hall | SC 420 | |
| 8:00–10:00pm | Daniel Pershey | Quincy D-hall |
This will be updated as more hours are announced.
Policies
The final exam is a three-hour exam administered by the FAS Exams Office and is required for all enrolled students. Students who miss the exam will automatically receive a grade of ABS for the course. Scheduling out-of-sequence final exams is handled by the FAS Exams Office. Quoting the official FAS Final Exam Schedule:
No instructor has the authority to approve alternate times, dates, locations, or accommodations for an exam scheduled by the FAS Exams Office. Special accommodations must be approved by the appropriate governing body or administrative office. Circumventing these procedures may jeopardize a student's grade in the course.
Students with two FAS exams scheduled at the same date and time according to the schedule below will be contacted by the Exams Office before the last day of classes. The Exams Office will resolve the conflict automatically by rescheduling one of the student's two exams to a time within 24 hours of the original exam time. Any student who believes he/she has a conflict with an exam that is not listed on the schedule below should contact the Exams Office immediately.
Students with questions about taking an exam on a different date/time/location, or requesting special accommodations should contact one of the administrative offices [listed on that web page].
Midterm Two: Tuesday, April 7th, 2009
The Exam
The exam and solutions are now available.
Review Session
There was be a review from 7:30–9:00 PM on Sunday April 5th in Science Center Hall C. The review session handout is available, and solutions to selected problems are also available. (Problems that have no solution were done in the review session.) There is video available on iSites.
Sample Exams
Here are some old exams, courtesy of former instructors of this course:
- First Old Exam Two (Solutions)
Corrections made:- In Problem 9(b), the function f(x,y) was erroneously called f(x,y,z). Monday April 6, 2:00 PM
- This exam was almost immediately changed, but changed slightly (Sat Mar 28, 2:15 PM). The original posting had three problems (numbers 1, 9, and 11) that cover material from after the midterm. These questions have been replaced with this newer version.
- Second Old Exam Two (Solutions)
Corrections made:- Problem 5 Part (IV) had the wrong integral and region. Thanks Mike!Tuesday April 7, 1:40 PM
- Third Old Exam Two (Solutions)
Corrections made:- Problem 7 omitted the phrase that is nearest to the Interprize. Thanks Priya!Sunday April 5, 9:15 AM
- Problem 8 found the correct points but then plugged them in incorrectly. Thanks Amy W!Monday April 6, 2:40 PM
Caution! These exams were not written by us and will not necessarily reflect the style of problems you will see on the midterm. Also, writing exams requires some compromises on what topics are emphasized. Again, these exams do not reflect our own biases, and even if a particular topic is not covered in depth on the sample exams it may still appear on the actual exam.
Solutions have been posted. You are strongly urged to work the exam problems without looking at solutions.
The Exam
The second midterm exam will be 7:00–9:00 PM on Tuesday April 7th in Science Center Hall D (note change from Hall C!). It will cover everything since the first midterm exam through the eighth week. That is, the last new material should be covered in class by Friday, April 3rd.
Policies
Official policy at Harvard is that “out of sequence” exams are only offered for students observing religious holidays and students who need an out of sequence exam as ordered from the accessible education office. We sometimes can accommodate students who happen to have an important sports event at the same time (it must be an actual game or tournament) or a concert or theater event (regular practice or rehearsals of course do not qualify to miss the exam) or a political election event (for which you are a major candidate). In case of a qualifying conflict, contact the course head to see whether it is possible to arrange the exam earlier the same day. We will need a letter from your coach or director. For this exam, the request is due by the end of the day Thursday, April 2nd. You must contact the course head even if you had an out of sequence exam for the first midterm!
Midterm One: Thursday, March 5th, 2009
The Exam
The exam and solutions are now available.
Review Session
There was a review from 8:00–9:30 PM on Monday March 2nd in Science Center Hall A. The review problem sheet (Problem 1 revised 9:55 PM on Monday) from this review is available as a PDF. There is video available on iSites.
Sample Exams
Here are some old exams, courtesy of former instructors of this course:
- Midterm One, Spring 2008 (Solutions)
- Midterm One, Spring 2007 (Solutions)
Corrections made:- Problem 12 ended with the wrong vector QP and so the wrong answer. Thanks Cassy!Thursday March 5, 9:45 AM
- Midterm One, Fall 2003 (Solutions)
Corrections made:- Problem 7 was completely wrong, as I thought the moth was 10 feet from the bulb, not 2 feet. Thanks Kate! Thursday March 5, 1:25 PM
Caution! These exams were not written by us and will not necessarily reflect the style of problems you will see on the midterm. Also, writing exams requires some compromises on what topics are emphasized. Again, these exams do not reflect our own biases, and even if a particular topic is not covered in depth on the sample exams it may still appear on the actual exam.
Solutions for some of the exams are available above; others will be posted when they become available.
The Exam
The first midterm exam will be 7:00–9:00 PM on Thursday March 5th in Science Center Hall D. It will cover all material covered in class before that date, through partial derivatives and PDEs. The last new material, however, should be covered in Monday's class (or Tuesday's class for the Tuesday-Thursday section).
Policies
Official policy at Harvard is that “out of sequence” exams are only offered for students observing religious holidays and students who need an out of sequence exam as ordered from the accessible education office. We sometimes can accommodate students who happen to have an important sports event at the same time (it must be an actual game or tournament) or a concert or theater event (regular practice or rehearsals of course do not qualify to miss the exam) or a political election event (for which you are a major candidate). In case of a qualifying conflict, contact the course head to see whether it is possible to arrange the exam earlier the same day. We will need a letter from your coach or director. For this exam, the request is due by the end of the day Friday, February 27th.