Math53: Ordinary Dierential Equations
Autumn 2004
Solutions to Problem Set 1
Note: Even if you have done every problem, you are encouraged to look over these solutions, especially
2.2:14,18, 2.4:18, 2
What is the field? What areas might one study? In what fields might one find jobs?
Mathematics is one of the areas in which the areas of knowledge can accurately and objectively decipher
as true, and
Math53: Ordinary Dierential Equations
Autumn 2004
Problem Set 8 Solutions
As this last problem set is the culmination of the course, you are very much encouraged to study
these solutions in detail. At
Math53: Ordinary Dierential Equations
Autumn 2004
Problem Set 7 Solutions
Note: Even if you have done every problem, you are encouraged to look over these solutions, especially 6.1:2,18 and 6.2:2, whe
Math53: Ordinary Dierential Equations
Autumn 2004
Problem Set 6 Solutions
Note: Even if you have done every problem, you are encouraged to look over these solutions, especially 9.2:38,40 and 9.8:6. In
Math53: Ordinary Dierential Equations
Autumn 2004
Problem Set 5 Solutions
Note: Even if you have done every problem, you are encouraged to look over these solutions, especially 8.2:13 and 9.2:1,4,24,2
Math53: Ordinary Dierential Equations
Autumn 2004
Problem Set 4 Solutions
Note: Even if you have done every problem, you are encouraged to look over these solutions, especially
5.1:14, 5.4:18,36, and
Math53: Ordinary Dierential Equations
Autumn 2004
Solutions to Problem Set 3
Note: Even if you have done every problem, you are encouraged to look over these solutions, especially 4.5:26 and 4.6:13. I
Math53: Ordinary Dierential Equations
Autumn 2004
Solutions to Problem Set 2
Note: Even if you have done every problem, you are encouraged to look over these solutions, especially 2.9:20,26,28, 4.3:26
Bubble Sort
Description
The Bubble Sort is considered to be the simplest, yet not the most efficient sorting
algorithm. The process entails comparing adjacent elements and interchanging them if they a