Lecture: Ordinary Differential Equations and Time-stepping

Using the definition of derivative and Taylor series, numerical time-stepping schemes are produced for predicting the future state of ODE systems.

Join Today
But what is a partial differential equation? | DE2
▶︎

But what is a partial differential equation? | DE2

Lecture: General Time-stepping and Runge-Kutta Schemes
▶︎

Lecture: General Time-stepping and Runge-Kutta Schemes

Differential equations, a tourist's guide | DE1
▶︎

Differential equations, a tourist's guide | DE1

William Dunham, A tribute to Euler
▶︎

William Dunham, A tribute to Euler

Euler's Method - A Simple Table That Works Every Time
▶︎

Euler's Method - A Simple Table That Works Every Time

Solving the heat equation | DE3
▶︎

Solving the heat equation | DE3

Eigenfunction expansions
▶︎

Eigenfunction expansions

Lecture: Error and Stability of Time-stepping Schemes
▶︎

Lecture: Error and Stability of Time-stepping Schemes

We're 99.9% sure this pattern is true, but no one can prove it
▶︎

We're 99.9% sure this pattern is true, but no one can prove it

Introductory Calculus: Oxford Mathematics 1st Year Student Lecture
▶︎

Introductory Calculus: Oxford Mathematics 1st Year Student Lecture

If You Have A Bad Memory, I’ll Help You Fix It In 28 Minutes
▶︎

If You Have A Bad Memory, I’ll Help You Fix It In 28 Minutes

The most beautiful formula not enough people understand
▶︎

The most beautiful formula not enough people understand

Phase-plane analysis for nonlinear dynamics
▶︎

Phase-plane analysis for nonlinear dynamics

1. The Geometry of Linear Equations
▶︎

1. The Geometry of Linear Equations

Lecture: Numerical Differentiation Methods
▶︎

Lecture: Numerical Differentiation Methods

The Million Dollar Equation No One Can Solve
▶︎

The Million Dollar Equation No One Can Solve

Big Picture of Calculus
▶︎

Big Picture of Calculus

What is Jacobian? | The right way of thinking derivatives and integrals
▶︎

What is Jacobian? | The right way of thinking derivatives and integrals