Math 2.0

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Ordinary Differential Equations EVB9NJCV1R

URIm2://res/EVB9NJCV1R
Kindcourse
CreatorsKaushik Bal (instructor)
Date2024-07-19
MSC34-XX
Scopein
Idscourse 05pjsgx75:111104521

Expressions

e1: edition

Languageen
Date2024-07-19
Contents
  • part 1: Week 1
  • session 1: Lecture 1, Vector Spaces
  • session 2: Lecture 2, Linear Transformations
  • session 3: Lecture 3, Matrices
  • session 4: Lecture 4, Derivatives
  • session 5: Lecture 5, Lipschitz Continuity
  • session 6: Lecture 6, Cauchy Schwartz Inequality
  • part 2: Week 2
  • session 7: Lecture-7, Ordinary Differential Equations: Introduction
  • session 8: Lecture-8, Differential Inequalities
  • session 9: Lecture-9, 2nd Order ODEs
  • part 3: Week 3
  • session 10: Lecture-10, Picard's Theorem
  • session 11: Lecture-11, Linear Dependence and Independence
  • part 4: Week 4
  • session 12: Lecture 12, Well-posedness of an ODE
  • session 13: Lecture 13, Linear System 1
  • session 14: Lecture 14, Linear System 2
  • session 15: Extra Lecture
  • part 5: Week 5
  • session 16: Lecture 15, Exponential matrix
  • session 17: Lecture 16, Solution of linear system system of ODE
  • session 18: Lecture 17, Eigen value and eigen vector
  • session 19: Lecture 18, Canonical form
  • part 6: Week 6
  • session 20: Lecture 19, Solution of system of equations using method of eigenvalue
  • session 21: Lecture 20, Method of eigenvalue continued
  • session 22: Lecture 21, Maximal interval of existence
  • session 23: Lecture 22, Maximal interval of existence continued
  • part 7: Week 7
  • session 24: Lecture 23, Periodic Linear system
  • session 25: Lecture 24, Asymptotic behavior of solution
  • session 26: Lecture 25, Asymptotic behavior of solution( continued )
  • part 8: Week 8
  • session 27: Lecture 26, Asymptotic Behavior of Linear System: Part 3
  • session 28: Lecture 27, Exact and Adjoint Equation
  • session 29: Lecture 28, Theory of Oscillation
  • part 9: Week 9
  • session 30: Lecture 29: Sturm-Picone's theorem, Leighton's theorem
  • session 31: Lecture 30: Boundary Value Problems
  • session 32: Lecture 31: Maximum Principle
  • part 10: Week 10
  • session 33: Lecture 32, Strum-Liouville Theory
  • session 34: Lecture 33, Strum-Liouville Theory 2
  • session 35: Lecture 34, Periodic Strum-Liouville Problem
  • session 36: Lecture 35, Eigenfunction Expansion
  • part 11: Week 11
  • session 37: Lecture 36, Stability of a system
  • session 38: Lecture 37, Equilibrium points
  • session 39: Lecture 38, Lyapunov function and its application
  • part 12: Week 12
  • session 40: Lecture 39, Stability of Equilibria
  • session 41: Lecture 40, Phase Portrait

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