Sze's Lecture Notes

The following are PDF files of some of my lectures given in the Physics Department at the University of Auckland.

Linear Systems

  • Distributions and Generalized Functions
  • Systems
  • The Fourier Transform
  • Sampling in Frequency and Time
  • The Hilbert Transform and Modulation Theory
  • The Laplace Transform
  • Fourier Optics and Wave Propagation
  • Energy, Power and Noise
  • The Finite Fourier Transform

    Classical Mechanics

  • Motion of a Single Particle
  • Systems of Particles and Rigid Bodies
  • Analytical Dynamics

    Statistical Mechanics

  • Review of Classical Thermodynamics
  • Fundamentals of Statistical Mechanics
  • The Heat Capacity of Solids
  • The Classical Ideal Gas
  • Introduction to Quantum Statistical Mechanics

    Mathematical Modelling

  • A framework for modelling problems in Physics

    Inverse Problems

    The following lectures were given with Colin Fox and Geoff Nicholls, formally at the Department of Mathematics at the University of Auckland.
  • Introduction to Inverse Problems
  • Linear Transformations
  • Regularization Methods for Linear Inverse Problems
  • An Introduction to Probability and Statistics
  • Bayesian Statistical Inference and Parameter Estimation
  • The Recursive Linear Inverse Problem
  • Stochastic Simulation
  • Sampled Solutions to Inverse Problems
  • Output Analysis