Introduction to Computer-based Physical Modeling

Course Information:

This Website
Course Schedule
Assignments
Exams
Resources
Instructor

Jupyter Notebooks:

Overview
Introduction to Jupyter
Notebook editor
Entering code
Entering Markdown

Lecture 1:

Lecture Contents
Variables and types
Operators and comparisons
Data Types in Python
- Strings
- Lists
- Tuples
- Dictionaries
Modules and namespaces
Exercise 1

Lecture 2:

Lecture Contents
NumPy arrays
Plotting data
Random numbers
Exercise 2

Lecture 3:

Lecture Contents
Input and output
Flow Control
- Conditionals: if, elif, and else statements
- Loops
Functions
Exceptions
Exercise 3

Lecture 4:

Lecture Contents
Classes and Objects
Brownian Motion
Animations
Exercise 4

Lecture 5:

Lecture Contents
Numerical Differentiation
Numerical Integration
Solving ODEs

Lecture 6:

Lecture Contents
COVID19
Coupled Pendula
Fourier Analysis

Lecture 7:

Lecture Contents
Spring Pendulum
- Physical Model
  - Equations of motion
- Numerical Solution
Planetary Motion
- Physical Model
- Numerical Solution
Diffusion equation
- Physical Model
- Numerical Solution
Exercise 7

Lecture 8:

Lecture Contents
Curve fitting

Lecture 9:

Lecture Contents
Plane Waves
Spherical waves
Huygens principle
Gaussian Beam
Exercise 9

Lecture 10:

Lecture Contents
Quantum Mechanics
- Quantum Mechanics in a Nutshell
  - Time dependent Schrödinger equation
  - Stationary Schrödinger equation
- Recap: Implicit Solution
  - Kinetic energy
  - Potential energy
Particle in a box
- Definition of the problem
- Where to go from here?
Harmonic Oscillator
- Definition of the problem
- Where to go from here?
Periodic Potential

Lecture 11:

Lecture Contents
Time Dependent Quantum Mechanics
Wavepacket in a Potential Box
Tunneling through a barrier

Lecture 12:

Lecture Contents
Hydrodynamics
Machine Learning and Neural Networks

Lecture 13:

Lecture Contents
Neural Networks
Neural Network with Keras

Lecture 14:

Lecture Contents
Convolutional Neural Networks
Example CNN with Keras
Autoencoder CNN for Time Series Denoising

Lecture 15:

Lecture Contents
Python and Hardware
Project: YOUR PROJECT TITLE

Introduction to Computer-based Physical Modeling

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© Copyright 2020, Frank Cichos Last updated on Apr 06, 2021.

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