HOMEWORK ASSIGNMENTS

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

A - C	Bridget M. Canavan
D - K and T	Tara C. Thompson
L - R	Joseph C. McIntyre
S and U - Z	Yashwan Manick

ASSIGNMENT 1: DUE FRIDAY JANUARY 7TH

Review Chapters 1 - 5 (as necessary)
Skim Sections 17.1 and 17.5
Work the problems on the supplementary sheet handed out in lecture. (To access the class demo run in lecture on Wednesday, click here.)
If you didn't pick up a copy in class ( or even if you did), you can 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.
Familiarize yourself with our webpage. Note that all future assignments will be give via this page and not handed out in lecture. Also be sure to check out the Maple info page and/or the comments page.

ASSIGNMENT 2: DUE MONDAY JANUARY 10

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 12TH

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 14

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 19 (No Class Monday the 17th!)

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.
Notice that the first exam has been rescheduled for Monday, January 31st from 4:00 - 6:00 in Cook Auditorium.

ASSIGNMENT 6: DUE MONDAY JANUARY 24 (No class Friday the 21st)

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: DUE WEDNESDAY JANUARY 26

Remember we will meet Tuesday January 25th in our x-hour (12:00-12:50).
Study section 4.8.
Do: p. 287: 1, 3, 5, 7, 9, 11, 13.

ASSIGNMENT 8: ALSO DUE WEDNESDAY JANUARY 26

Study sections 9.5 and 9.8
Work the following problems on page 564: 3, 4, 5, 7. Also work the following problem:
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].

ASSIGNMENT 9: DUE FRIDAY JANUARY 28

Read section 9.2 and 9.6.
Do on page 564: 1.
Optional - do not turn in: verify your answers to problems 3, 4, 5 and 7 on page 564 using the ratio test.
Do on page 573: 1, 5, 7, 9 (Hint: consider 1/(1+x^2) + x^3/(1+x^2)), 11, 33, 35.

ASSIGNMENT 10: DUE MONDAY JANUARY 31

Read section 10.1
On page 603 work problems 1, 3, 5, 15, 19.
We will have class in our x-hour Tuesday February 1st

ASSIGNMENT 11: DUE WEDNESDAY FEBRUARY 2

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

ASSIGNMENT 12: DUE WDNESDAY FEBRUARY 2

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

ASSIGNMENT 13: DUE FRIDAY FEBRUARY 4

Read section 10.4
Work these problems: PDF or Postscript.

ASSIGNMENT 14: DUE MONDAY FEBRUARY 7

Read section 10.4
On page 631 work problems 2, 4, 5, 7, 8, 25, and
Find the angle between the planes 2x - 3y - 4z = 8 and 3x + 2y - z = 4.

ASSIGNMENT 15: DUE WEDNESDAY FEBRUARY 9

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

ASSIGNMENT 16: DUE WEDNESDAY FEBRUARY 9

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

ASSIGNMENT 17: DUE MONDAY FEBRUARY 14

NO CLASS FRIDAY: Winter Carnival Holiday
Section 10.6 (refer mainly to class notes)
Work the following problems: PDF or Postscript.
Our second exam is Wednesday February 16th. The exam will cover through today's lecture (Wednesday February 9th).

ASSIGNMENT 18: DUE WEDNESDAY FEBRUARY 16

Read sections 12.1 & 12.2
On page 701, work 1, 3, 5, 12, 14, 19, 20, 28.
On page 706, work 1, 3, 5.
Prepare for exam on Wednesday afternoon. There are practice problems and solutions available: click here.

ASSIGNMENT 19: DUE FRIDAY FEBRUARY 18

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

ASSIGNMENT 20: DUE MONDAY FEBRUARY 21

Read sections 12.3 & 12.4
On page 714, work 13, 15, 17, 23.
On page 719, work 7, 9, 17, 18.

ASSIGNMENT 21: DUE WEDNESDAY FEBRUARY 23

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

ASSIGNMENT 22: DUE FRIDAY FEBRUARY 25

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

ASSIGNMENT 23: DUE MONDAY FEBRUARY 28

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

ASSIGNMENT 24: DUE WEDNESDAY MARCH 1

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

ASSIGNMENT 25: DUE MONDAY MARCH 6

Read sections 13.2.
On page 785 work 1, 3, 5, 7, 9.
Note there is no lecture on Friday (March 3rd).

ASSIGNMENT 26: DUE TUESDAY MARCH 7

Read sections 13.3.
On page 793 work 1, 3, 5, 9, 11, 15.
The final lecture of the term will be in our x-hour on Tuesday March 7.