**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:**

- Wikipedia about ODEs
- Damped nonlinear pendulum
- Belousov-Zhabotinsky reaction
- Math Archievs
- Wolfram´s ODE-page

Back to to Hans Frisk´s homepage.

**last updated ***17/10 2012*