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M2AA1 Differential Equations 2016
Thursday, 17 March 2016
Final problem sheet nr 8 about calculus of variations.
This problem sheet has now been posted in the lefthand side margin.
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Lecture notes
Chapter 0  Introduction
Chapter 1  Contractions
Chapter 2  Existence and uniqueness
Chapter 3  Linear autonomous ODEs
Chapter 4 The flow near an equilibrium
Chapter 5  PoincareBendixson Theorem
(+
appendix
)
Chapter 6  Biological applications
Chapter 7  Calculus of Variations
(
Liquid mirror example
)
Scanned notes from lectures
28/01/16
;
29/01/16
;
02/02/16
;
04/02/16
;
05/02/16
;
09/02/16
;
11/02/16
;
12/02/16
;
16/02/16
;
18/02/16
;
19/02/16
;
23/02/16
;
25/02/16
;
26/02/16
;
01/03/16
;
03/03/16
;
04/03/16
;
08/03/16
;
10/03/16
;
11/03/16
;
15/03/16
;
17/03/16
;
18/03/16
;
Videos
Inverse Function Theorem in R:
proof
+
proof of formula for derivative
Higher dimensional derivatives
Implicit Function Theorem in R^n:
proof
+
proof of formula for derivative
Proof of Lemma 4.1.1
(
notes
)
Problem sheets
Nr 1
(
Solns
)
Nr 2
(
Solns
)
Nr 3
(
Solns
)
Nr 4
(
Solns
)
Nr 5
(
Solns
)
Nr 6
(
Solns
)
Nr 7
(
Solns
)
Nr 8
(
Solns
)
Progress tests (and solns)
Test 1 (11/02/2016)
Test 2 (10/03/2016)
How to study for the 2016 exam?
2016 Exam preparation notes
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Problem sheet 8 and answers
Notes on synchronisation
Problem class tuesday 22/3, 121pm, in Blacket 100...
How to study for the 2016 exam?
Final problem sheet nr 8 about calculus of variati...
Second test model answers
Update on solutions to problem sheet 4
Additional office hour on wednesday 9 March 122pm...
About the duration of the second test
Proof of Lemma 4.1.1 (and video)
Problem sheet 6, model answer posted
Question 4 sheet nr 6
PoincareBendixson appendix
How to prepare for the class test of 10 March?
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February
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Jeroen Lamb
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