Month: October 2022

Week 6: First Video Lesson!

This Week

  • Made Complex Numbers mini video lesson
    This week I made my first mini video lesson! It came out well, which surprised me. It was really difficult, and took a couple takes – made even more challenging by my determination not to edit it with video software (as not to fall down the trap of spending hours getting it perfect). Although the mini lesson is not as comprehensive as my textbook section write-up, it’s a simple, visual overview of the topic. It is on the website here and in the Unit One: Linear Algebra and Complex Numbers Crash Course.
  • Read 1.1: Introduction in Quantum Theory, Groups, and Representations
  • Read and took notes on 1.2 : Basic Principles of Quantum Mechanics in Quantum Theory, Groups, and Representations

Upcoming

  • Create education mini-lesson video on Complex Numbers
  • Finish 2.1: Basic Principles of Quantum Mechanics content

Week 5: A Solution Found and on to Chapter Two

This Week

  • Made Complex Numbers mini video lesson
    This week I made my first mini video lesson! It came out well, which surprised me. It was really difficult, and took a couple takes – made even more challenging by my determination not to edit it with video software (as not to fall down the trap of spending hours getting it perfect). Although the mini lesson is not as comprehensive as my textbook section write-up, it’s a simple, visual overview of the topic. It is on the website here and in the Unit One: Linear Algebra and Complex Numbers Crash Course.
  • Read 1.1: Introduction in Quantum Theory, Groups, and Representations
  • Read and took notes on 1.2 : Basic Principles of Quantum Mechanics in Quantum Theory, Groups, and Representations

Upcoming

  • Create education mini-lesson video on Complex Numbers
  • Finish 2.1: Basic Principles of Quantum Mechanics content

1.3 Linear Algebra Basics

Due to the inability to express mathematical equations in WordPress’s typeset, this post (and all further explanation posts) will be done in LaTeX and uploaded here in PDF form.

IdyStudy__Quantum_Mechanics

Resources
* Chapter Two: Linear Algebra in The Mathematics of Quantum Mechanics
* UCSB Math/CS 120
* Matrix Transformations of Khan Academy’s Linear Algebra Course
* Chapter Four: Linear Algebra Review, Unitary and Orthogonal Groups in Quantum Theory, Groups, and Representations
* Eigenvectors and eigenvalues of 3Blue1Brown’s Essence of Linear Algebra series

Notes

1.3-Linear-Algebra-Basics-Notes