HOMEWORK ASSIGNMENTS

Our homework graders are as follows: click on the appropriate name to send your grader e-mail.

A - F	Brian J. Infante
G - L	Christopher A. Johnston
M - P	Latchezar L. Benatov
Q - Z	Zeynep Oz

ASSIGNMENT 1: DUE MONDAY JANUARY 8TH

Review Chapters 1 - 5 (as necessary)
Skim Sections 17.1 and 17.5
Work the problems on the supplementary sheet handed out in lecture. (Click here to access the class demo run in lecture on Wednesday.)
Whether or not you picked up a copy in class), you should print your own copy as follows. If you are printing to a postscript printer (e.g. a Kiewit printer), choose the postscript version, download it to your hard disk, and then drag it onto your desktop printer icon. Alternatively, choose the pdf version. The pdf version will probably print in all cases, and is viewable via Acrobat Reader. There are notes about handling pdf files in the Maple notes which you are to read below.
Because all future assignments will be give via this page and not handed out in lecture, I strongly suggest you print out todays assignment sheet to test that you have worked out all the bugs.
Familiarize yourself with our webpage.
Also be sure to check out the Maple info page and/or the comments page.

Note that we are meeting in our x-hour on Tuesday, January 9th. Assignments 2 and 3 are due on Wednesday!

ASSIGNMENT 2: DUE WEDNESDAY JANUARY 10th

Review section 3.4 and read section 17.2. (You can ignore the subsection on homogeneous equations.)
Work: p. 988: 1, 5, 8, 13, 14, 21.
Work: p 200: 11, 17, 23.
Work the following problems:
1. A tank contains 1000 liters of brine with 15 kg of dissolved salt. Pure water enters the tank at a rate of 10 liters/min. The solution is kept thoroughly mixed and drains from the tank at the same rate. How much salt is in the tank
  (a) after t minutes? (b) after 20 minutes?
2. A tank contains 1000 liters of pure water. Brine that contains 0.05 kg of salt per liter of water enters the tank at a rate of 5 liters/min. Brine that contains 0.04 kg of salt per liter of water enters the tank at the rate of 10 liters/min. The solution is kept thoroughly mixed and drains from the tank at 15 liters/min. How much salt is left in the tank
  (a)after t minutes? (b)after 1 hour?

ASSIGNMENT 3: DUE WEDNESDAY JANUARY 10TH

Review section 7.9 and read section 17.4.
Do: p. 994: 1, 6, 7, 9, 11 (For 11, solve both as a separable and first order linear differential equation), plus the problem below:

Into a 2000 liter container is placed 1000 liters of a brine solution containing 40 kg of salt. A brine solution containing .02 kg/l of salt flows into the container at a rate of 50 l/min. The solution is kept thoroughly mixed, and the mixture flows out at a rate of 25 l/min. How much salt is in the container at the moment it overflows?

ASSIGNMENT 4: DUE FRIDAY JANUARY 12

Read sections 3.7(skim) and 17.1
Do: pp. 983 - 984: 1, 3, 5, 7, 11, 13, plus the problem below:

Find the general solution to the differential equation (D-1)(D-2) y = x by solving the system of first order linear differential equations:
1. (D - 2)y = u
2. (D - 1)u = x (solve me first!)

ASSIGNMENT 5: DUE WEDNESDAY JANUARY 17
(No Class Monday the 15th or Tuesday the 16th!, and
there will be no Tutorial on Sunday the 14th.)

Read section 17.7 (Ignore Euler equations and complex roots)
Do: p. 1015: 1, 3, 5, 14, 19, plus the two problems below:

Find the general solution to the differential equation (D^2 -4)(D -2)y = 0
Verify that 2x+3 is a solution to the differential equation y'' - 3y' + 2y = 4x, and use this information to find the general solution to this differential equation.

ASSIGNMENT 6 (1/17): DUE FRIDAY JANUARY 19th

Study: Chapters 17.7 (complex roots), Appendix I
Do: p. 1015: 7, 9, 15, 21 plus the problems below:

Write (2 + 3i) / (1 - 5i) in the form a + bi
Compute the complex conjugate and modulus of 3 + 4i
Write -1 + sqrt(3)*i in polar form
Simplify (1 + i)²⁰ (Use polar form)

ASSIGNMENT 7 (1/19): DUE MONDAY JANUARY 22nd

Study section 4.8.
Do: p. 287: 1, 3, 5, 7, 9, 11, 13.

ASSIGNMENT 8 (1/22): DUE WEDNESDAY JANUARY 24th

Determine the degree of the Taylor polynomial for sin(x) about x=0 which will approximate sin(x) with an error of less than 10^(-14) on the interval [-Pi,Pi].
Read section 9.1 and section 9.2.
On page 526 work: 9, 14, 17, 18, 23, 25, 27.
On page 533 work: 1, 2, 11.
Remember we will meet Tuesday January 23rd in our x-hour (12:00-12:50) and today's and Tuesdays assignments will be due Wednesday.

ASSIGNMENT 9 (1/23): ALSO DUE WEDNESDAY JANUARY 24th

Study sections 9.5 and 9.8
Work the following problems on page 564: 1, 3, 4, 5, 7.

ASSIGNMENT 10 (1/24): DUE FRIDAY JANUARY 26th

Read section 9.6.
Do on page 573: 1, 5, 7, 9 (Hint: consider 1/(1+x^2) + x^3/(1+x^2)), 11, 33, 35.

ASSIGNMENT 11 (1/26): DUE MONDAY JANUARY 29th

Read section 10.1
On page 603 work problems 1, 3, 5, 15, 19.
Our first exam is Monday afternoon from 4-6pm in Filene Auditorium in Moore Hall.

ASSIGNMENT 11 (1/29): DUE WEDNESDAY JANUARY 31st

Read section 10.2
On page 613 work problems 2, 3 and 10.

ASSIGNMENT 12 (1/31): DUE FRIDAY FEBRUARY 2

Read section 10.3
On page 622 work problems 1 - 6.

ASSIGNMENT 13 (2/2): DUE MONDAY FEBRUARY 5

Read section 10.4
On page 631 work problems 2, 4, 5, 7, 8, 11.

ASSIGNMENT 14 (2/5): DUE WEDNESDAY FEBRUARY 7

Our x-hour on Tuesday, February 6th was canceled.
Read section 10.4, and
Work problems 25 and 28 on page 631. Also,
Work these problems: PDF.

ASSIGNMENT 15 (2/7): DUE MONDAY FEBRUARY 12th

NO CLASS on Friday February 9th (Carnival).
Section 10.6 (refer mainly to class notes)
Work the following problems: PDF.

ASSIGNMENT 16 (2/12): DUE WEDNESDAY FEBRUARY 14th

We will meet in our x-hour on Tuesday February 13th.
Section 10.6 (refer mainly to class notes)
Work the following problems: PDF.

ASSIGNMENT 17 (2/13): DUE WEDNESDAY FEBRUARY 14th

Section 10.6 (refer mainly to class notes)
Work the following problems: PDF.

ASSIGNMENT 18 (2/14): DUE FRIDAY FEBRUARY 16th

Read sections 12.1 & 12.2
Our second exam is Monday February 19th. The exam will cover through today's lecture (Wednesday February 14th).
On page 701, work 1, 3, 5, 12, 14, 19, 20, 28.
On page 706, work 1, 3, 5.

ASSIGNMENT 19 (2/16): DUE MONDAY FEBRUARY 19

Read sections 12.3 & 12.4
On page 714, work 3, 5, 7, 11.
On page 719, work 3, 5, 6.

ASSIGNMENT 20 (2/19): DUE WEDNESDAY FEBRUARY 21st

I will try to return the exams to your homework boxes by Tuesday at 5pm.
Read sections 12.3 & 12.4
On page 714, work 13, 15, 17, 23.
On page 719, work 7, 9, 17, 18.

ASSIGNMENT 21 (2/21): DUE FRIDAY FEBRUARY 23

Read sections 12.5
On page 730, work 1, 3, 7, 9, 11, 13.

ASSIGNMENT 22 (2/23): DUE MONDAY FEBRUARY 26th

Read sections 12.7
On page 749 work 1, 3, 5, 11, 13, 21.

ASSIGNMENT 23 (2/26): DUE WEDNESDAY FEBRUARY 28th

Read sections 12.7
On page 749 work 7, 9, 14, 17, 23, 26.

ASSIGNMENT 24 (2/28): DUE FRIDAY MARCH 2nd

Read sections 13.1 (omit material on quadradic forms).
On page 778 work 1, 3, 5, 7, 9, 11, 17.

ASSIGNMENT 25 (3/2) : DUE MONDAY MARCH 5th

Read sections 13.2.
On page 785 work 1, 3, 5, 7, 9.

ASSIGNMENT 26 (3/5): DUE WEDNESDAY MARCH 7th

Read sections 13.3.
On page 793 work 1, 3, 5, 9, 11, 15.
We did not cover the material needed to do problems 11 and 15 in class Monday. I will go over it on Wednesday. Therefore, you can omit these problems when you turn in your assignment on Wednesday. I suggest you do them after class on Wednesday, but you will not be able to turn them in.