MA 124 B1 — Fall 2011
Calculus II

Instructor

Name: Robert Pollack
Office: MCS 232
Office hours: Wednesday 3:30-4:30; Friday 1-2
E-mail: rpollack@bu.edu

Teaching Fellow

Name: Andres Larrain-Hubach
Office: MCS 250
Office hours: Tuesday 10:30am-12:30pm
E-mail: alh@math.bu.edu

Course info

Lectures: (by RP)
MWF 2-3, CAS 522
Discussion sections: (by ALH)
B2 — Mon 1-2, MCS B23
B3 — Mon 3-4, PSY B35
B4 — Tues 8:30-9:30, MCS B25
B5 — Tues 9:30-10:30, SED 212
B6 — Tues 3:30-4:30, CAS B06B

Text

Calculus, Concepts & Contexts — 4th edition, James Stewart (Thomson, Brooks/Cole) 2010

Exams

First hour exam: Wednesday, October 5
Second hour exam: Monday, November 7
Final exam: Wednesday, December 21, 3pm-5pm (ROOM CHANGE! FINAL IN PHOTONICS (PHO) 206)

Recent Announcements

Solutions to midterm 1.

The curve on the first midterm is the following:

A/A-: a grade of at least 80
B+/B/B-: a grade of at least 60
C+/C/C-: a grade of at least 45
D: a grade of at least a 40
F: any grade lower than 40

Solutions to midterm 2.

The curve on the second midterm is the following:

A/A-: a grade of at least 85
B+/B/B-: a grade of at least 70
C+/C/C-: a grade of at least 50
D: a grade of at least a 40
F: any grade lower than 40

Syllabus: A complete syllabus can be download here in pdf format. Below are some highlights from the syllabus.

General notes:

There will be two in-class hour tests and a final exam.
Homework problems will be assigned each class, and you should complete them by the following class.
Homework will be collected each Wednesday at the start of class. You should turn in all problems assigned the previous week.
Late homework will not be accepted, but your bottom two homework grades will be dropped.

Course grading:

Homework: 25%
First hourly: 20%
Second hourly: 20%
Final exam: 30%
Class participation: 5%

Outside help:

You are very much encouraged to attend my office hours and the teaching fellow's office hours as posted above.
Your weekly discussion section is there to answer your questions. Come prepared and ready to ask away!
In MCS B24 at most times during working hours, there are math graduate students on duty to answer questions from any class. This is a fantastic resource that is available all week long. See http://www.bu.edu/math/undergraduate/resources/tutoring-room-schedule/ for details.
Math Help on Tuesday nights 7-10 in the Cinema Room of Rich Hall, West Campus. This is walk-in tutoring and is also a great place to hold study group meetings, for any math or statistics class. See http://math.bu.edu/people/dmm/FacRes/mathhelp.html for details.
Professor Michael Cohen holds open tutoring sessions every Thursday afternoon from 4-6:30 in CAS 425. No appointments necessary!

Miscellaneous Items of Interest: Incompletes are rarely given and only for extreme situations. Make-up exams are only given in the case of serious illness.

Homework Assignments

Homeworks are due IN CLASS at the beginning of class each Wednesday -- not in my office or my mailbox.
You should only submit the exercises below marked with a *.
Please staple your homework sets to keep loose pages from getting lost.
Remember that while working together on homeworks is encouraged, homeworks should be written up separately. Handing in substantially identical homeworks is a violation of the academic conduct code.
2.4: 18, 22 means Section 2.4, Problems #18 and #22.

Homework #1: Due Wed, Sept 14

5.5: 1,2*,4*,5,10*,11,12*,16*,21,22,23,41,42,44*,53
5.6: 4,6*,7,10*,16*,23,26*,40

Homework #2: Due Wed, Sept 21

5.6: 14,18*,20*,30*,45
5.7: 1,2*,4*,8*,13,15,18*,22*

Homework #3: Due Wed, Sept 28

5.9:1,2*,6,8*,18*,20,28*,32*
5.10: 3,8*,10*,14*,19,22*,26*,28*,30*,34*,36*
4.5: 6,8,10*,14*,16,18,24*,28,30*

Homework #4: Due Wed, Oct 12

5.10: 2*,6*,12,18,20*,44*,46*,48
6.1: 2*,4*,6,8,12*,14,16*,28,40*
6.2: 2*,4*,10*,14*,16,20*

Homework #5: Due Wed, Oct 19

6.2: 32*,34*,36*,38*,42*
6.3: 2,4*,6*,14*,16*,22
6.5: 2*,4*,6*,12*,16*
6.6: 2*,4*

Homework #6: Due Wed, Oct 26

6.6 -- 6*,8,10*,11,12*,16*,18,19,20*,22*,24
7.3 -- 4,6*,8*,10,12,16*,18*,20*,46*,48*,52
7.1 -- 2*,4*,5,9,11,12*
7.2 -- 2*,4*,6*,8*,10*,12*

Homework #7: Due Wed, Nov 2

7.2 -- 22*,24*
7.4 -- 2*,4*,6(a,b)
8.1 -- 2,4,12*,14*,16*,20*,30*,32*,34*,46

Homework #8: Due Wed, Nov 9

8.2 -- 1,2*,9,12*,14*,16*,18*,20*,22*,26*
8.3 -- 1,2,3,4,6*,8*

Homework #9: Due Wed, Nov 16

8.3 -- 10*,12*,16*,18*,20*,22*,26*,30*,31
8.4 -- 6*,8*,10*,24*

Homework #10: Due Wed, Nov 30

8.4 -- 28*,30*,32*,37
8.5 -- 4*,6*,8*,10*,12*
*Compute the Taylor series expansion (at x=0) for cos(x) and then find its radius of convergence

Homework #11: Due Wed, Dec 7

8.5 -- 22*,24*
8.6 -- 4*,8*
8.7 -- 3,8*,10*,26*
8.5 -- 14*,16*,18*,20*
8.6 -- 14*,24*,26*

Homework #12: Due Mon, Dec 12

8.4 -- 14*,16*
8.7 -- 12*,14*,16*,39,40*
*Use quadratic approximation (i.e. T₂(x)) to approximate cos(1).
- Give an upper bound on your error.
- Now use a calculator to compute your estimate, cos(1), and the true error.
- How does your error bound compare to the true error?
*Use quartic approximation (i.e. T₄(x)) to approximate cos(1).
- Give an upper bound on your error.
- Now use a calculator to compute your estimate, cos(1), and the true error.
- How does your error bound compare to the true error?
*Use quartic approximation (i.e. T₄(x)) to approximate ln(5/4).
- Give an upper bound on your error.
- Now use a calculator to compute your estimate, ln(5/4), and the true error.
- How does your error bound compare to the true error?
*Approximate e² to within 1/1000.
8.7 -- 44*,46*,48*,50*,52*,54*