Course 602, Spring 2007

The first day handout is available for download.

Please refer to my personal homepage for contact information.

Midterm exam will be March 2nd

Change of office hours: Monday, 19th will be cancelled, office hour Friday, 16th after class instead

Homework assignments

Numbers refer to the 1996 edition of Bleecker/Csordas

Due Mon Jan 29
- Section 1.1, exercise 1 e,f
- Section 1.1, exercise 4 g,h
- Section 1.1, exercise 6 f
- Section 1.1, exercise 7 c
- Section 1.2, exercise 1 c,e
- Section 1.2, exercise 3 a
Due Mon Feb 5
- Section 2.1, exercise 1 a,b
- Section 2.1, exercise 2 b,c
- Section 2.1, exercise 3
- Section 2.2, exercise 1 a,c with 2 d
Due Mon Feb 12
- Section 2.2, exercise 3 d
- Section 2.2, exercise 4
- Section 2.3, exercise 1
- Section 2.3, exercise 3
- Section 2.3, exercise 12
Due Mon Feb 19
- Solve the traffic flow equation graphically for the initial condition
  
  1/4 for x < -1
  
  &rho(x,0) = 1/4 x + 1/2 for x in [-1,1]
  
  3/4 for x > 1
  1. Sketch the characteristic lines and the shock
  2. Find the point where the shock forms
  3. Compute the shock speed
  4. Compute the speed of the characteristics left and right of the shock
  5. Compute the car speed left and right of the shock
- Section 2.3, exercise 13
Due Mon Feb 26
- Section 3.1, exercise 1
- Section 3.1, exercise 3 b
- Section 3.1, exercise 7
Due Mon Mar 26
- Section 3.2, exercise 2 (use the maximum principle)
- Section 3.2, exercise 3
- Section 3.2, exercise 4
- Section 3.4, exercise 2
- Section 3.4, exercise 3
Due Mon Apr 2
- Section 4.1, exercise 4
- Section 4.2, exercise 9
- Section 4.2, exercise 10
- Section 4.3, exercise 9
Due Mon Apr 9
- Section 5.1, exercise 1 b,d
- Section 5.1, exercise 9
Due Mon Apr 16
- Section 5.2, exercise 1 d,e,f
- Section 5.2, exercise 2 (draw a picture!)
- Section 5.2, exercise 7
- Section 5.3, exercise 5
Due Mon Apr 23
- Section 6.1, exercise 1
- Section 6.1, exercise 3
- Section 6.1, exercise 5

	1/4 for x < -1
&rho(x,0) =	1/4 x + 1/2 for x in [-1,1]
	3/4 for x > 1