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