Ordinary Differential Equations and Applications (USB)

₹950.00
In stock
SKU
111108081



Media Storage Type : 32 GB USB Stick

NPTEL Subject Matter Expert : Prof. A.K. Nandakumaran, Prof. Raju K. George, Prof. P.S. Datti

NPTEL Co-ordinating Institute : IISc Bangalore

NPTEL Lecture Count : 40

NPTEL Course Size : 25 GB

NPTEL PDF Text Transcription : Available and Included

NPTEL Subtitle Transcription : Available and Included (SRT)


Lecture Titles:

Lecture 1 - General Introduction
Lecture 2 - Examples
Lecture 3 - Examples (Continued - I)
Lecture 4 - Examples (Continued - II)
Lecture 5 - Linear Algebra
Lecture 6 - Linear Algebra (Continued - I)
Lecture 7 - Linear Algebra (Continued - II)
Lecture 8 - Analysis
Lecture 9 - Analysis (Continued...)
Lecture 10 - First Order Linear Equations
Lecture 11 - Exact Equations
Lecture 12 - Second Order Linear Equations
Lecture 13 - Second Order Linear Equations (Continued - I)
Lecture 14 - Second Order Linear Equations (Continued - II)
Lecture 15 - Well-posedness and Examples of IVP
Lecture 16 - Gronwall's Lemma
Lecture 17 - Basic Lemma and Uniqueness Theorem
Lecture 18 - Picard's Existence and Uniqueness Theorem
Lecture 19 - Picard's Existence and Uniqueness (Continued...)
Lecture 20 - Cauchy Peano Existence Theorem
Lecture 21 - Existence using Fixed Point Theorem
Lecture 22 - Continuation of Solutions
Lecture 23 - Series Solution
Lecture 24 - General System and Diagonalizability
Lecture 25 - 2 by 2 systems and Phase Plane Analysis
Lecture 26 - 2 by 2 systems and Phase Plane Analysis (Continued...)
Lecture 27 - General Systems
Lecture 28 - General Systems (Continued...) and Non-homogeneous Systems
Lecture 29 - Basic Definitions and Examples
Lecture 30 - Stability Equilibrium Points
Lecture 31 - Stability Equilibrium Points (Continued - I)
Lecture 32 - Stability Equilibrium Points (Continued - II)
Lecture 33 - Second Order Linear Equations (Continued - III)
Lecture 34 - Lyapunov Function
Lecture 35 - Lyapunov Function (Continued...)
Lecture 36 - Periodic Orbits and Poincare Bendixon Theory
Lecture 37 - Periodic Orbits and Poincare Bendixon Theory (Continued...)
Lecture 38 - Linear Second Order Equations
Lecture 39 - General Second Order Equations
Lecture 40 - General Second Order Equations (Continued...)

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