Chapters
Mechanics
- Activity: What is a Model?
- Notes: Simple Harmonic Oscillator
- Activity: Frames and Coordinates
- Activity: Calculus of Variations and Lagrangian Dynamics
- Activity: Numerical Integration and More Lagrangians
- Notes: Numerical Integration in 1D
- Activity: The Dynamical Systems Approach and Phase Portraits
- Notes: Dynamical Systems and Phase Space
- The Duffing Oscillator
- Notes: Heading towards Chaos
- Conducting a complete analysis of an ODE
- Book Reading:
Electromagnetism
- Activity: Electric Fields
- Activity: Separation of Variables
- Activity: Separation of Variables (Spherical)
- Activity: Separation of Variables (Spherical Examples)
- Activity: Superposition
- Notes: Electric Potential
- Notes: Electromagnetism Introduction
- Notes: Static Fields
- Notes: Method of Relaxation
- Activity: Method of Relaxation
Waves
- Notes: Fast Fourier Transform
- Notes: Coupled Oscillations
- Notes: Introduction to Waves
- Activity: Normal Modes
- Activity: Normal Modes of N Coupled Oscillators
- Notes: Solutions to The Wave Equation
- Activity: 1-Dimensional Travelling Waves
- Notes: Deconstructing Waves
- Activity: Signal Deconstruction
- Activity: Automated Signal Deconstruction & Reconstruction
- Activity: The Fast Fourier Transform
- Activity: Applying The Fast Fourier Transform
- Notes: Applications of FFTs
- Using the FFT with Real Data
Distributions
- Notes: Random Processes
- Activity: Introduction to Random Processes
- Notes: Counting and Combinatorics
- Notes: Monte Carlo Simulations
- Activity: Model of Two Bodies in Thermal Contact
- Activity: Monte Carlo Integration
- Notes: Markov Chain Monte Carlo Modeling
- Activity: Modeling the Ideal Gas
- Activity: The Ising Model
- Activity: Modeling
- Activity: Modeling