Embark on an amazing mathematical journey in 24
intellectually stimulating and visually engaging half hour lectures.
Mastering Differential Equations: The Visual Method
Overview
Syllabus
- By This Professor
- 01: What Is a Differential Equation?
- 02: A Limited-Growth Population Model
- 03: Classification of Equilibrium Points
- 04: Bifurcations-Drastic Changes in Solutions
- 05: Methods for Finding Explicit Solutions
- 06: How Computers Solve Differential Equations
- 07: Systems of Equations-A Predator-Prey System
- 08: Second-Order Equations-The Mass-Spring System
- 09: Damped and Undamped Harmonic Oscillators
- 10: Beating Modes and Resonance of Oscillators
- 11: Linear Systems of Differential Equations
- 12: An Excursion into Linear Algebra
- 13: Visualizing Complex and Zero Eigenvalues
- 14: Summarizing All Possible Linear Solutions
- 15: Nonlinear Systems Viewed Globally-Nullclines
- 16: Nonlinear Systems near Equilibria-Linearization
- 17: Bifurcations in a Competing Species Model
- 18: Limit Cycles and Oscillations in Chemistry
- 19: All Sorts of Nonlinear Pendulums
- 20: Periodic Forcing and How Chaos Occurs
- 21: Understanding Chaos with Iterated Functions
- 22: Periods and Ordering of Iterated Functions
- 23: Chaotic Itineraries in a Space of All Sequences
- 24: Conquering Chaos-Mandelbrot and Julia Sets
Taught by
Robert L. Devaney
