Math 2.0

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Ordinary Differential Equations and Applications NXMVW6510A

URIm2://res/NXMVW6510A
Kindcourse
CreatorsA. K. Nandakumaran (instructor), P. S. Datti (instructor), Raju K. George (instructor)
Date2014-08-28
Scopein
Idscourse 04dese585:111108081

Expressions

e1: edition

Languageen
Date2014-08-28
Contents
  • part 1: Motivation and Real Life Examples
  • session 1: General Introduction
  • session 2: Examples
  • session 3: Examples Continued I
  • session 4: Examples Continued II
  • part 2: Preliminaries
  • session 5: Linear Algebra
  • session 6: Linear Algebra Continued I
  • session 7: Linear Algebra Continued II
  • session 8: Analysis
  • session 9: Analysis Continued
  • part 3: First and Second Order Linear equations
  • session 10: First Order Linear Equations
  • session 11: Exact Equations
  • session 12: Second Order Linear Equations
  • session 13: Second Order Linear Equations Continued I
  • session 14: Second Order Linear Equations Continued II
  • part 4: General Existence and Uniqueness Theory
  • session 15: Well-posedness and Examples of IVP
  • session 16: Gronwall's Lemma
  • session 17: Basic Lemma and Uniqueness Theorem
  • session 18: Picard's Existence and Uniqueness Theorem
  • session 19: Picard's Existence and Uniqueness Continued
  • session 20: Cauchy Peano Existence Theorem
  • session 21: Existence using Fixed Point Theorem
  • session 22: Continuation of Solutions
  • session 23: Series Solution
  • part 5: Linear Systems
  • session 24: General System and Diagonalizability
  • session 25: 2 by 2 systems and Phase Plane Analysis
  • session 26: 2 by 2 systems and Phase Plane Analysis Continued
  • session 27: General Systems
  • session 28: General Systems Continued and Non-homogeneous Systems
  • part 6: Nonlinear Systems
  • session 29: Basic Definitions and Examples
  • session 30: Stability Equilibrium Points
  • session 31: Stability Equilibrium Points Continued I
  • session 32: Stability Equilibrium Points Continued II
  • session 33: Second Order Linear Equations Continued III
  • session 34: Lyapunov Function
  • session 35: Lyapunov Function Continued
  • session 36: Periodic Orbits and Poincare Bendixon Theory
  • session 37: Periodic Orbits and Poincare Bendixon Theory Continued
  • part 7: Two-point Boundary Value Problems
  • session 38: Linear Second Order Equations
  • session 39: General Second Order Equations
  • session 40: General Second Order Equations Continued

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