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Mathematical Modeling in Physics
Welcome to Mathematical Modeling in Physics
0 - Overview of PHY 415
Course Objectives
Course Design
Assessments
Project Rubrics
Calendar
Classroom Environment
Resources
Reading Questions Form
1 - What is Mathematical Modeling?
01 Sept 22 - Activity: What is a Model?
01 Sept 22 - Notes: What is a Model?
2 - Oscillations
06 Sept 22 - Activity: Investigating the Simple Harmonic Oscillator
06 Sept 22 - Notes: The SHO and Phase Portraits
08 Sept 22 - Activity: Large Angle Pendulum
13 Sept 22 - Notes: Numerical Integration in 1D
13 Sept 22 - Activity: Integrating ODEs Numerically
15 Sept 22 - Activity: ODE Palooza
27 Sept 22 - Notes: Coupled Oscillators
27 Sept 22 - Activity: Normal Modes
29 Sept 22 - Activity: Lagrangian Dynamics
4 Oct 22 - Notes: Lagrangian Dynamics
4 Oct 22 - Activity: Lagrangian Dynamics with Constraints
06 Oct 22 - Activity: Analyzing Lagrangian Dynamics with Constraints
11 Oct 22 - Activity: Normal Modes of 3 Coupled Oscillators
13 Oct 22 - Activity: Normal Modes of N Coupled Oscillators
3 - Oscillations with Many Degrees of Freedom
18 Oct 2022 - Introduction to Waves
20 Oct 2022 - 1-Dimensional Travelling Waves
27 Oct 2022 - Activity - Deconstructing Waves
28 Oct 22 - Deconstructing Signals using Fourier Analysis
01 Nov 2022 - Signal Deconstruction
03 Nov 2022 - Signal Processing
8 Nov 22 - The Inverse Fourier Transform
10 Nov 2022 - Applying the FFT to data
10 Nov 22 - 2D FFT example
4 Random Processes
17 Nov 22 - Introduction to Random Processes
22 Nov 2022 - Modeling an Ideal Gas
29 Nov 2022 - Markov Chain Monte Carlo Modeling
29 Nov 22 Monte Carlo Integration
29 Nov 22 Monte Carlo Integration
1 Dec 2022 - Model of Two Bodies in Thermal Contact
6 Dec 2022 - Modeling the Ideal Gas
8 Dec 2022 - The Ising Model
Works Cited
News Archive
Projects
Project 1
Project 2
Project 3
Project 4
Project 5
Project 6
Binder
JupyterHub
Colab
repository
open issue
.ipynb
.pdf
4 Random Processes
4 Random Processes
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