Math 4030 Homework
Homework 1: From Section 1.1 of Textbook:
3, 7, 9, 10;
Write down a proof by induction that the puzzle
called
"Towers of Hanoi" discussed in class can be solved in
2^n - 1 steps, where n is the number of disks.
Homework
2
Homework
3
Homework
4
Homework 5: 1. Problems 4,5,6 of Homework 4, postponed one
week.
2. Problems 2,3,4 of section 1.3 of text (page 32).
Homework 6: Problems 1,5,7,8 of section 1.4 of the text (pages 40
- 42).
Homework 7: Problems 7, 8 of Homework 6, postponed from last time.
For 8c use Eisenstein
Graph Paper
Fill in all missing points and write down all distances from the origin.
You can bring the completed sheet to class on Friday and
hand it in as one of the problems in the quiz.
Homework 8: Problems 2,3,4,6 of Chapter 2.1 of the text
(pages 51-52).
Homework 9: Finish any problems left from Homework 8. Then
do 5-5 (p 52) and 6-4, 6-5 (p 60).
Homework
10
Homework 11: Problem 2 of Homework 10 and 7.3 of the text (p 71).
Homework 12: 7-2 (c), 7-3 (e,f), 8-2, 8-3.
Homework 13: 8-4, 8-5 and 10-4 a,b,c.