Introduction for the course fall 2012 takes place Wednesday the the 5:th of September 1pm in room D0043.
ODEs For ODEs we want to find a function of one variabel, which often is time, that fulfils the differential equation. In the companion course about partial differential equations the unknown function depends on two, three or four variables (space or space + time). For an introduction to the ODE course look here
Book: "Elementary Differential Equations and Boundary Value Problems" by Boyce&DiPrima (John Wiley), 8:th or 9:th edition. Only difference between the two editions is in chapter 3 where from 8:th ->9:th edition the following subsections are changed 3.3+3.4->3.3, 3.5->3.4,.......3.9->3.8. In the ODE course we study chapters 1 (briefly), 2-4 (should partly be known) and especially 7 and 9 where all new interesting stuff can be found. If you only will study the ODE-course (not PDEs) then then the book "Elementary Differential Equations" by the same authors is sufficient. Other good books are "Ordinära Differentialekvationer" by Andersson&Böiers (many proofs but in swedish) and "Differential equations with applications and historical notes" by G.F. Simmons (many interesting historical notes).
Lectures/Exercises: Always on Wednesdays from 3 pm. After some theory we go over to computer room D1172. Introduction 5:th of September 1 pm at room D0043.
week36: B2034 and D1172
week37: B3033 and D1172
week38: B2034 and D1172
week39: B2034 and D1172
week40: B2034 and D1172
week41: B3033 and D1172
week42: B2034 and D1172
week43: B2034 and D1172
Lectures 2012:
Lecture 1 (text), Lecture 1 (sound).
Lecture 2 (text). Lecture 2 (sound).Lecture 3 (text). Lecture 3 (sound).
Lecture 4 (text). Lecture 4 (sound).
Lecture 5 (text). Lecture 5 (sound).
Lecture 6 (text). Lecture 6 (sound).
Old lecture notes by Roger Pettersson.
Examination: This year there will be a exam in the computer room D1142. The exam takes place 31/10 9-14, second chance will decided later on.
Some of the recent written exams: 101105, solution 081108,solution 071109,solution 061110,solution
Some theory questions that can appear on written exam.
Plan 2012:
week36: Introduction and chapter 1, Repetition of basic ODEs and matrix algebra
week37: 2.1-2.3, 2.4-2.7, Exercises & laboration.
week38: 3.1-3.4, 3.5-3.7, Exercises & laboration.
week39: 4.1-4.2, 4.3-4.4, Exercises & laboration
week40: 7.1 and 7.4 ,7.5-7.6, Exercises & laboration.
week41: 7.7-7.8, 7.8-7.9, Exercises & laboration.
week42: 9.1-9.2, 9.3 and 9.6, Exercises & laboration.
week43: 9.7, 2.8, Exercises & laboration
Selected exerices in 8:th ed (9:th ed):
Chapter 2::
2.1:8,30,38,39
2.2:11,14,27,30
2.3:2,9,20
2.4:7,22,31
2.5:3,7,25
2.6:1
2.7:20,21
2.8:7,15-19
Chapter 3::
3.1:18,23
3.2:1,2,7,21
3.3:1,10
3.4 (3.3):23,38 (34)
3.5 (3.4):21,22,38
3.6 (3.5):1,2
3.7 (3.6):1,13,28,29
Chapter 4::
4.1:3,26,27
4.2:22
4.3:5
4.4:1,13
Chapter 7:
7.1: 2,7,15,22
7.4: 2,5,6,7
7.5: 1,7,11(12),24,26,28,29,31
7.6: 1,5,11,13(14),23,27,28
7.7: 3(5),11,15,17,18
7.8: 1,7(8),15,17,19
7.9: 1,3,14
Chapter 9::
9.1:13,17,19,20,21
9.2:1,5,18(19),21(23),25,26
9.3:3,5,17,25(27),28
9.4:1(2),8,13
9.5:1(2)
9.6:1,3,7,10,11,12
9.7:2,9,16
9.8:2,4
Numerical solutions : Introduction to matlab by Roger Pettersson.
Some Mathematica problems we do in the course.
Some links:
Back to to Hans Frisk´s homepage.
last updated 17/10 2012