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M2AA1 Differential Equations 2016
Tuesday 22 March 2016
Problem class tuesday 22/3, 12-1pm, in Blacket 1004
Room 340 is unfortunately not available. Blackett 1004 is on Level 10 of the Blackett building.
Come out of the lifts and turn left. Prof Turaev will discuss starred questions from the final problem sheet 8.
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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 - Poincare-Bendixson 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, 12-1pm, in Blacket 1004
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 12-2pm...
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
Poincare-Bendixson appendix
How to prepare for the class test of 10 March?
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February
(14)
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January
(7)
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Jeroen Lamb
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