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M2AA1 Differential Equations 2016
Thursday 14 January 2016
Synchronisation
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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
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02/02/16
;
04/02/16
;
05/02/16
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09/02/16
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11/02/16
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12/02/16
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16/02/16
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18/02/16
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19/02/16
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23/02/16
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25/02/16
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26/02/16
;
01/03/16
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03/03/16
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04/03/16
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08/03/16
;
10/03/16
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11/03/16
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15/03/16
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17/03/16
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18/03/16
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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
Followers
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Office hour Tuesday 15:00
Double pendulum
Three body problem
Synchronisation
Bridge dynamics
Books
Practical Arrangements
About Me
Jeroen Lamb
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