In Kreyszig, 7.1, 7.2, 7.3, 7.4,7.5 To be covered next week: 7.6,7.7

Do all core problems in 7.1,7.2,7.3,7.4,7.5

7.2 # 14,20 (do 20 before you do 19) 7.3 # 12,14,16,20 7.4 # 6,8,16 7.5 # 4,8,18,26,32 In #32, if the vectors are linearly dependent, write one vector as a linear combination of the others.

Spring 97 # 7 Spring 96 # 17

- You can again do this part of the assignment as a study group. But each person should attach a copy of the solutions to the assignment they hand in since otherwise the grading becomes too time consuming.
- Read about the linear algebra commands in the Maple Manual and look at the Demos on the Web.
- Do 7.4 #16 , first using gausselim and backsub, and then using linsolv.
- Do 7.5 # 26 and 32 in Maple.

(5 points) A chain of lenght L and mass density r (and hence total mass L*r) is placed on a horizontal frictionless table and initially length b of it is hanging over the edge of the table. How long does it take for the chain, under the influence of gravity, to completely slide off the table (in terms of L and b, r should not enter)? What happens if b goes to 0?

To solve this, set up a second order differential equation for the amount of length hanging over the edge as a function of t. What if one tries to take friction into account (much more difficult)?