Math 31 Homework #5

When I was young I observed that nine out of every ten things I did were failures,
so I did ten times more work.
George Bernard Shaw

Quiz

Remember that we have a quiz on Wednesday 1/20 on Lectures 4 - 6.

Reading

Keep up with the reading for Chapter 4 while we are covering that material.
Read what we will cover in class on 1/20: Chapter 5

When reading Chapter 5 pay special attention to the following concepts:

  • permutation, permutation group, symmetric groups (Sn), cycle notation
  • properties of permutaions: Theorem 5.1, products of disjoint cycles; Theorem 5.2, disjoint cycles commute; Theorem 5.3, order of a permutation.

Problems

The following problems are due by the beginning of class on Wednesday 1/20.
  • Ch 4 : 1, 2, 4, 5, 8, 11, 12, 16, 19, 21, 22, 24, 25, 27, 30, 31, 32, 33, 37, 43, 47, 49.