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Introduction to Differential Equations

Complexity Explorer via YouTube

Overview

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Learn the fundamental concepts of differential equations through this comprehensive tutorial series from Professor David Feldman's Dynamical Systems and Chaos course. Master the technical mathematics behind differential equations starting with their basic applications and progressing through derivative concepts, computational solution methods, and qualitative analysis techniques. Explore how derivatives work conceptually and practically, discover various approaches to solving differential equations both computationally and qualitatively, and reinforce your understanding through self-guided quizzes with provided solutions. Build a solid foundation in this essential mathematical tool used across physics, engineering, biology, and other scientific disciplines through structured video lessons that break down complex concepts into manageable segments.

Syllabus

Dynamical Systems and Chaos: Introduction to Differential Equations Part 1A
Dynamical Systems and Chaos: Introduction to Differential Equations Part 1B
Dynamical Systems and Chaos: Introduction to Differential Equations Part 2
Dynamical Systems and Chaos: The Idea of the Derivative Part 1A
Dynamical Systems and Chaos: The Idea of the Derivative Part 1B
Dynamical Systems and Chaos: The Idea of the Derivative Part 1C
Dynamical Systems and Chaos: The Idea of the Derivative Part 2
Dynamical Systems and Chaos: The Idea of the Derivative Part 3
Dynamical Systems And Chaos: Computational Solutions Part 4
Dynamical Systems And Chaos: Computational Solutions Part 5
Dynamical Systems And Chaos: Qualitative Solutions Part 1B
Dynamical Systems And Chaos: Qualitative Solutions Part 1C
Dynamical Systems And Chaos: Qualitative Solutions Part 2
Dynamical Systems And Chaos: Qualitative Solutions Quiz 1 (Solutions)
Dynamical Systems And Chaos: Qualitative Solutions Quiz 3 (Solutions)
Dynamical Systems And Chaos: Differential Equations Summary Part 1
Dynamical Systems And Chaos: Differential Equations Summary Part 2

Taught by

Complexity Explorer

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