- Origins of Quantum Mechanics
    - [[A Brief History of Quantum Mechanics|A Brief History of Quantum Mechanics]]
    - [[Blackbody Radiation|Blackbody Radiation]]
    - [[The Photoelectric Effect|The Photoelectric Effect]]
    - [[The Compton Effect|The Compton Effect]]
    - [[de Broglie Matter Waves|de Broglie Matter Waves]]
    - [[Wave-Particle Duality|Wave-Particle Duality]]
    - [[Probability and Uncertainty in Quantum Mechanics|Probability and Uncertainty in Quantum Mechanics]]
    - [[Atomic Transitions and Spectroscopy|Atomic Transitions and Spectroscopy]]
    - [[Wave Packets|Wave Packets]]
    - [[Module 1 Summary|Summary]]
  - Mathematical Tools
    - [[Hilbert Space|Hilbert Space]]
    - [[Dirac Notation|Dirac Notation]]
    - Linear Operators
      - [[Basic Properties of Linear Operators|Basic Properties of Linear Operators]]
      - [[Adjoints and Hermitian Operators|Adjoints and Hermitian Operators]]
      - [[Commutators and Uncertainty Relations|Commutators and Uncertainty Relations]]
      - [[Functions, Inverses, and Unitary Operators|Functions, Inverses, and Unitary Operators]]
      - [[Eigenvalues and Eigenvectors|Eigenvalues and Eigenvectors]]
    - [[Representing Operators in Discrete Bases|Representing Operators in Discrete Bases]]
    - [[Fourier Series and Fourier Transforms|Fourier Series and Fourier Transforms]]
    - [[Continuous Basis Representations|Continuous Basis Representations]]
    - [[Module 2 Summary|Summary]]
  - Postulates of Quantum Mechanics
    - [[Summary of the Basic Postulates|Summary of the Basic Postulates]]
    - [[The State Space of a Quantum System|The State Space of a Quantum System]]
    - [[The Schrödinger Equation|The Schrödinger Equation]]
    - [[Observables as Operators|Observables as Operators]]
    - [[The Infamous Measurement Postulates|The Infamous Measurement Postulates]]
    - [[Compatible and Incompatible Observables|Compatible and Incompatible Observables]]
    - [[The Heisenberg Picture and Conservation Laws|The Heisenberg Picture and Conservation Laws]]
    - [[Solving the Schrödinger Equation for Degenerate Hamiltonians|Solving the Schrödinger Equation for Degenerate Hamiltonians]]
    - [[Module 3 Summary|Summary]]
  - One Dimensional Problems
    - [[The Free Particle|The Free Particle]]
    - [[The Infinite Square Well Potential|The Infinite Square Well Potential]]
    - [[General Considerations|General Considerations]]
    - [[The Potential Step|The Potential Step]]
    - [[The Potential Barrier|The Potential Barrier]]
    - [[The Delta Function Potential|The Delta Function Potential]]
    - [[The Finite Square Well Potential|The Finite Square Well Potential]]
    - [[The Harmonic Oscillator|The Harmonic Oscillator]]
    - [[Module 4 Summary|Summary]]
  - Angular Momentum
  - Three Dimensional Problems
  - The Variational Principle
    - [[The Variational Principle|The Variational Principle]]