Jonathan Mitchell

Welcome! The videos contained herein are educational and intended to supplement a variety of mathematical concepts taught in most university mathematics courses. Enjoy and feel free to give feedback. Thanks for visiting.

Introduce the dejong5 Function (Optimization Algorithms)
Introduce the dejong5 Function (Optimization Algorithms)
Minimize the dejong5 Function using Steepest Descent with 50 Particles
Minimize the dejong5 Function using Steepest Descent with 50 Particles
Minimize the dejong5 Function using PSO with 50 Particles
Minimize the dejong5 Function using PSO with 50 Particles
What is a Composite Function (Example B)
What is a Composite Function (Example B)
What is a Composite Function (Example A)
What is a Composite Function (Example A)
Chase Favorite Fish in 3D with 100 fish bumping into each other
Chase Favorite Fish in 3D with 100 fish bumping into each other
Chase Favorite Fish in 3D 50 Fish bumping into each other
Chase Favorite Fish in 3D 50 Fish bumping into each other
Chase Favorite Fish in 3D with 20 Fish bumping into each other
Chase Favorite Fish in 3D with 20 Fish bumping into each other
Chase Favorite Fish in 3D with 10 Fish bumping into each other
Chase Favorite Fish in 3D with 10 Fish bumping into each other
Swarming Behaviors - Fixed Velocity and Proximity Matrix
Swarming Behaviors - Fixed Velocity and Proximity Matrix
Swarming Behaviors - Random Movement and Inertia
Swarming Behaviors - Random Movement and Inertia
Swarming Behaviors (Isolationist) with Proximity Matrix
Swarming Behaviors (Isolationist) with Proximity Matrix
Particle Swarm Optimization - Large Inertial Coefficient
Particle Swarm Optimization - Large Inertial Coefficient
Particle Swarm Optimization - Social greater than Personal
Particle Swarm Optimization - Social greater than Personal
Particle Swarm Optimization - Personal greater than Social
Particle Swarm Optimization - Personal greater than Social
Particle Swarm Optimization with 50 particles (level 2)
Particle Swarm Optimization with 50 particles (level 2)
Particle Swarm Optimization with only 3 particles (level 1)
Particle Swarm Optimization with only 3 particles (level 1)
Particle Swarm Optimization (level 0) and Steepest Descent Algorithms
Particle Swarm Optimization (level 0) and Steepest Descent Algorithms
Chase Your Favorite Particle While Bumping into Each Other
Chase Your Favorite Particle While Bumping into Each Other
Chase Younger Sibling with n=20 Fish
Chase Younger Sibling with n=20 Fish
Chase Your Favorite Fish
Chase Your Favorite Fish
Modes of a Circular Membrane - Combined Pairs
Modes of a Circular Membrane - Combined Pairs
Modes of a Circular Membrane (Drum Head)
Modes of a Circular Membrane (Drum Head)
Sharks 90 Eat Minnows 10
Sharks 90 Eat Minnows 10
Drum Modes Highlighted
Drum Modes Highlighted
Circular Membrane Modes
Circular Membrane Modes
Sharks and Minnows (level 0)
Sharks and Minnows (level 0)
Particles Repelling Each Other (level 0)
Particles Repelling Each Other (level 0)
Change of Coordinate Matrix Illustration
Change of Coordinate Matrix Illustration
Chain Rule - with 3 layers of functions
Chain Rule - with 3 layers of functions