Assignment 5         total 50 marks


Problem 1.  #6 in the text page 305                            total  5 marks

Problem 2.1.1 #1                                                 total 10
marks

Problem 2.1.1 #2                                                 total  5
marks

Problem 2.1.1 #3                                                 total  5
marks

Problem 2.1.2 #1                                                 total  5
marks

Problem 2.1.2 #2                                                 total  5
marks

Problem 3.1 #1                                                 total  5 marks

Problem 3.1 #4                                                 total  5 marks

Problem 4.1 #2                                                 total  5 marks



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Some things I've noticed from questions 1, 3 and 4:

1) Many students don't remember how to do induction proofs carefully -
lots of forgotten conditions on the hypothesis, that sort of
thing. Also, a frightening number of students claim that if something
is true for k=1, k=2, and k=3, then it is true for all k >= 1. We
aren't in Engineering, so this is not a proof :)

3) Looking at this was painful. I think more students would benefit
from using MathCAD for things like this. One student wrote, midway
through the problem, "I COULD do this, but I have better things to
do." and I must agree.

4) Generally well done, although some people unsuccessfully tried to
use the permutation method and got wrong answers.