Screencast Lectures on Ordinary Differential Equations and Applications

Video Lectures

Displaying all 40 video lectures.
I. Motivation and Real Life Examples
Lecture 1
General Introduction to ODEs
Play Video		 General Introduction to ODEs
Lecture 2
Examples of ODEs
Play Video		 Examples of ODEs
Lecture 3
Examples of ODEs II
Play Video		 Examples of ODEs II
Lecture 4
Examples of ODEs III
Play Video		 Examples of ODEs III
II. Preliminaries
Lecture 5
Review of Linear Algebra
Play Video		 Review of Linear Algebra
Lecture 6
Review of Linear Algebra II
Play Video		 Review of Linear Algebra II
Lecture 7
Review of Linear Algebra III
Play Video		 Review of Linear Algebra III
Lecture 8
Analysis
Play Video		 Analysis
Lecture 9
Analysis II
Play Video		 Analysis II
III. First and Second Order Linear Equations
Lecture 10
First Order Linear Equations
Play Video		 First Order Linear Equations
Lecture 11
Exact Equations
Play Video		 Exact Equations
Lecture 12
Second Order Linear Equations
Play Video		 Second Order Linear Equations
Lecture 13
Second Order Linear Equations II
Play Video		 Second Order Linear Equations II
Lecture 14
Second Order Linear Equations III
Play Video		 Second Order Linear Equations III
IV. General Existence and Uniqueness Theory
Lecture 15
Wellposedness and Examples of IVP
Play Video		 Wellposedness and Examples of IVP
Lecture 16
Gronwall's Lemma
Play Video		 Gronwall's Lemma
Lecture 17
Basic Lemma and Uniqueness Theorem
Play Video		 Basic Lemma and Uniqueness Theorem
Lecture 18
Picard's Existence and Uniqueness Theorem
Play Video		 Picard's Existence and Uniqueness Theorem
Lecture 19
Picard's Existence and Uniqueness Theorem II
Play Video		 Picard's Existence and Uniqueness Theorem II
Lecture 20
Cauchy Peano Existence Theorem
Play Video		 Cauchy Peano Existence Theorem
Lecture 21
Existence using Fixed Point Theorem
Play Video		 Existence using Fixed Point Theorem
Lecture 22
Continuation of Solutions
Play Video		 Continuation of Solutions
Lecture 23
Series Solution
Play Video		 Series Solution
V. Linear Systems
Lecture 24
General System and Diagonalizability
Play Video		 General System and Diagonalizability
Lecture 25
2-by-2 systems and Phase Plane Analysis
Play Video		 2-by-2 systems and Phase Plane Analysis
Lecture 26
2-by-2 systems and Phase Plane Analysis II
Play Video		 2-by-2 systems and Phase Plane Analysis II
Lecture 27
General Systems
Play Video		 General Systems
Lecture 28
General Systems II and Non-homogeneous Systems
Play Video		 General Systems II and Non-homogeneous Systems
VI. Nonlinear Systems
Lecture 29
Basic Definitions and Examples
Play Video		 Basic Definitions and Examples
Lecture 30
Stability Equilibrium Points
Play Video		 Stability Equilibrium Points
Lecture 31
Stability Equilibrium Points II
Play Video		 Stability Equilibrium Points II
Lecture 32
Stability Equilibrium Points III
Play Video		 Stability Equilibrium Points III
Lecture 33
Second Order Linear Equations IV
Play Video		 Second Order Linear Equations IV
Lecture 34
Lyapunov Function
Play Video		 Lyapunov Function
Lecture 35
Lyapunov Function II
Play Video		 Lyapunov Function II
Lecture 36
Periodic Orbits and Poincare Bendixon Theory
Play Video		 Periodic Orbits and Poincare Bendixon Theory
Lecture 37
Periodic Orbits and Poincare Bendixon Theory II
Play Video		 Periodic Orbits and Poincare Bendixon Theory II
VII. Two-point Boundary Value Problems
Lecture 38
Linear Second Order Equations
Play Video		 Linear Second Order Equations
Lecture 39
General Second Order Equations
Play Video		 General Second Order Equations
Lecture 40
General Second Order Equations II
Play Video		 General Second Order Equations II