Mathematics - Ordinary Differential Equations and Applications (IISc Bangalore)

# playlist of the 40 videos (click the up-left corner of the video)

source: nptelhrd     2014年8月28日
Mathematics - Ordinary Differential Equations and Applications by A. K. Nandakumaran, P. S. Datti & Raju K. George, Department of Mathematics, IISc Bangalore. For more details on NPTEL visit http://nptel.ac.in.

01 General Introduction 59:59
02 Examples 58:28
03 Examples Continued I 1:00:26
04 Examples Continued II 59:41
05 Linear Algebra 52:32
06 Linear Algebra Continued I 57:56
07 Linear Algebra Continued II 1:04:12
08 Analysis 1:02:18
09 Analysis Continued 55:16
10 First Order Linear Equations 1:00:31
11 Exact Equations 1:00:43
12 Second Order Linear Equations 59:37
13 Second Order Linear Equations Continued I 1:00:25
14 Second Order Linear Equations Continued II 59:31
15 Well-posedness and Examples of IVP 1:01:51
16 Gronwall's Lemma 59:34
17 Basic Lemma and Uniqueness Theorem 56:55
18 Picard's Existence and Uniqueness Theorem 58:39
19 Picard's Existence and Uniqueness Continued 58:25
20 Cauchy Peano Existence Theorem 59:27
21 Existence using Fixed Point Theorem 59:51
22 Continuation of Solutions 1:00:17
23 Series Solution 1:00:13
24 General System and Diagonalizability 58:23
25 2 by 2 systems and Phase Plane Analysis 1:02:02
26 2 by 2 systems and Phase Plane Analysis Continued 1:00:07
27 General Systems 1:00:39
28 General Systems Continued and Non-homogeneous Systems 1:03:43
29 Basic Definitions and Examples 57:15
30 Stability Equilibrium Points 59:57
31 Stability Equilibrium Points Continued I 54:05
32 Stability Equilibrium Points Continued II 1:00:16
33 Second Order Linear Equations Continued III 58:43
34 Lyapunov Function 58:39
35 Lyapunov Function Continued 51:35
36 Periodic Orbits and Poincare Bendixon Theory 1:00:28
37 Periodic Orbits and Poincare Bendixon Theory Continued 41:38
38 Linear Second Order Equations 55:02
39 General Second Order Equations 51:02
40 General Second Order Equations Continued 54:17