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M2AA1 Differential Equations 2016
Wednesday, 20 July 2016
Preparation for the resit exam
Instructions on how to study for the resit exam in September 2016 are the same as for the May 2016 exam.
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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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Jeroen Lamb
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