HOMEWORK ASSIGNMENTS

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

• Week of March 27 - 31, 2000
  
  • The pdf file for the solutions to the word problems (having to do with mixing) in assignment 3 is here.
• Week of April 3 - 7, 2000
  
• Week of April 10 - 14, 2000
  
• Week of April 17 - 21, 2000
  
  • The pdf file for the solution to the car/wind problem given in Assignment 12 (problem 9, page 613) is here. An html version of the solution is here.
• Week of April 24 - 28, 2000
  
• Week of May 1 - 5, 2000
  
  • The pdf file for the correct solution of problem 27 on page 631 (in Assignment 16) is here. The html version is here.
  • The solutions to the problems in the first two handouts (the assignments that were due May 5th and May 8th) are available in pdf format here and in html format here.
• Week of May 8 - 12, 2000
  
• Week of May 15 - 19, 2000
  
• Week of May 22 - 26, 2000
  
  • Solutions to the last homework assignment (concerning Lagrange multipliers) are available in pdf and html formats.

Week of March 27 - 31, 2000

Assignment 1: Due Wednesday March 29

• Review Chapters 1 - 5 (as necessary)
• Skim Sections 17.1 and 17.5
• Work the problems on the supplementary sheet handed out in lecture. (Not to be handed in!!!) To access the class demo run in lecture on Monday, 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 Friday March 31

• 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.

Assignment 3: Due Monday April 3rd

• 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 problems below:
  
  
  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?
  3. 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?

Week of April 3 - 7, 2000

Assignment 4: Due Wednesday April 5

• Study: Chapter 6.1
• Do: p. 351: 1, 5, 6, 9, 13, 17, 22, 31

Assignment 5: Due Friday April 7

• Study: Chapters 3.7 (skim), 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 6: Due Monday April 10

• 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.

Week of April 10 - 14, 2000

Note: Our first exam is scheduled for next Wednesday, April 19, from 4:00 - 6:00 pm in 101 Bradley.

Assignment 7: Due Wednesday April 12

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


1. Write (2 + 3i) / (1 - 5i) in the form a + bi
2. Compute the complex conjugate and modulus of 3 + 4i

Assignment 8: Due Friday April 14

• Study: Chapter 7.1
• Do: p. 415: 1, 3, 5, 6, 8

Assignment 9: Due Monday April 17

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

Week of April 17 - 21, 2000

Note: Our first exam is scheduled for this Wednesday, April 19, from 4:00 - 6:00 pm in 101 Bradley. See the class homepage for some important information.

Assignment 10: Due Wednesday April 19

• Study: The handout that was distributed in class last Friday. If you did not get a copy, the html version of the handout can be found here. The pdf version of the handout can be found here.
• Do: p. 564: 1, 3, 5 (just give the center and radius of convergence, do not worry about the ``interval of convergence''.)
• Also do the following: find the Taylor series for f(x) about the point x = a, and find its radius of convergence for
  1. f(x) = 1/(2 x), a = 1
  2. f(x) = cos( 4 x ), a = 0

Assignment 11: Due Friday April 21

• Study: Sections 9.5, 9.6
• Do: p. 564: 16
• Do: p. 573: 8, 9, 11

Assignment 12: Due Monday April 24

• Study: Sections 10.1, 10.2 (through the section "Hanging Chains")
• Do: p. 603: 1, 3, 17, 19
• Do: p. 613: 1, 3(a,b,c), 9

Week of April 24 - 28, 2000

Assignment 13: Due Wednesday April 26

• Study: the rest of Section 10.2
• Do: p. 613: 3(defg), 13, 14, 22

Assignment 14: Due Friday April 28

• Study: Section 10.3
• Do: p. 622: 1, 3, 5, 7, 17, 24

Assignment 15: Due Monday May 1

• Study: Section 10.4, up to "Lines in 3-Space"
• Do: p. 631: 3, 4, 5, 7, 10

Week of May 1 - May 5, 2000

Note: Our second exam is scheduled for next Wednesday, May 10, from 4:00 - 6:00 pm in 101 Bradley.

Assignment 16: Due Wednesday May 3

• Study: the rest of Section 10.4
• Do: p. 631: 15, 16, 17, 21, 25, 27, 28

Assignment 17: Due Friday May 5

• Study: The handout distributed on Wednesday. (This handout begins our study of matrices.) If you did not get the handout, you may get the pdf version here. The html version of the handout is here.
• Do: The exercises in the handout.

Assignment 18: Due Monday May 8

• Study: The handout distributed on Friday. If you did not get the handout, you may get the pdf version here. The html version of the handout is here.
• Do: The exercises in the handout.

Week of May 8 - May 12, 2000

Note: Our second exam is scheduled for this Wednesday, May 10, from 4:00 - 6:00 pm in 101 Bradley. See the class homepage for some important information.

Assignment 19: Due Wednesday May 10

• Study: The handout distributed on Monday. If you did not get the handout, you may get the pdf version here. The html version of the handout is here.
• Do: The exercises in the handout.

Assignment 20: Due Friday May 12

• Study: Sections 12.1, 12.2
• Do: p. 701: 1, 3, 5, 12, 14, 19, 20
• Do: p. 706: 1, 3, 5

Assignment 21: Due Monday May 15

• Study: Sections 12.3, 12.4
• Do: p. 714: 3, 5, 7, 11
• Do: p. 719: 7, 9, 17, 18

Week of May 15 - May 19, 2000

Assignment 22: Due Wednesday May 17

• Study: Section 12.5 (not including homogeneous functions)
• Do: p. 714: 14
• Do: p. 730: 1, 3, 6, 9, 11

Assignment 23: Due Friday May 19

• Study: Sections 12.7 (up to Rates Percieved by a Moving Observer)
• Do: p. 749: 1(ab), 3(ab), 5(ab), 10, 11

Assignment 24: Due Monday May 22

• Study: rest of Section 12.7
• Do: p. 749: 1c, 3c, 5c, 7, 9, 14, 17

Week of May 22 - May 26, 2000

Note:

• Our last class will meet on Tuesday, May 30th, during our x-hour (12:00 - 12:50). There is no class on Monday (May 29th, Memorial Day) or Wednesday (May 31st).
• Important information concerning the final exam can be found on the class homepage.

Assignment 25: Due Wednesday May 24

• Study: Section 13.1 (not including the section on Quadratic Forms)
• Do: p. 778: 1, 3, 5, 7, 9, 11, 17

Assignment 26: Due Friday May 26

• Study: Section 13.2
• Do: p. 785: 1, 3, 5, 7, 9

Assignment 27: Due Tuesday May 30 (not to turn in)

• Study: Section 13.3
• Do: p. 793: 1, 3, 5, 9, 11