Here are copies of the notes for lecture courses which were presented at the Physics Department of the University of Auckland. The following link should give you access to download the files:

https://drive.google.com/drive/folders/1rt3e7lgw4QMytFLI7aavvlz0_qMfmGG6?usp=sharing

Inverse Problems

This course is an introduction to the theory of inverse problems and Bayesian statistics and was given with Colin Fox (now at the University of Otago) and Geoff Nicholls (now at the University of Oxford).

  1. Introduction to Inverse Problems

  2. Linear Transformations

  3. Regularization and the Linear Inverse Problem

  4. Introduction to Probability and Statistics

  5. Bayesian Inference

  6. The Recursive Linear Inverse Problem and Kalman Filters

  7. Stochastic Simulation

  8. Sampled Solutions to Inverse Problems

  9. Output Analysis

Linear Systems and Transform Methods

Preface

  1. Dirac Delta Functions and Distributions

  2. Linear Systems and Stability

  3. The Fourier Transform

  4. Sampling in Frequency and Time

  5. The Hilbert Transform and Modulation

  6. The Laplace Transform

  7. Fourier Optics, Gaussian Beam Propagation and Dispersion

  8. Energy, Power, Random Signals and Noise

  9. The Discrete Fourier Transform

Statistical Mechanics

  1. Review of Classical Thermodynamics

  2. Fundamentals of Statistical Mechanics

  3. The Vibrational Heat Capacity Of Solids

  4. The Classical Ideal Gas

  5. Introduction to Quantum Statistical Mechanics

Analog Electronics

This course was based on notes originally written by Gary E. J. Bold of the University of Auckland.

  1. Resonant Matching Networks and Maximum Power Transfer

  2. Numerical Frequency Domain Analysis

  3. Mesh And Nodal Analysis

  4. Network Behavior in the Time Domain

  5. Poles, Zeros and Bode Plots

  6. Nyquist Plots

  7. Introduction To Non-Linear Network Analysis

  8. Numerical Calculation Of Transient Response Of Linear Networks

  9. Feedback And Oscillation

  10. Linear Two Port Networks and ABCD Matrices

  11. Active Filters

  12. Analogue Modulation

  13. Phase Locked Loops

  14. Transmission Lines

Classical Mechanics

  1. Dynamics of a Single Particle

  2. Systems of Particles

  3. Scalar Mechanics

Mathematical Methods

  1. Examples of Modelling in Physics

  2. Vector Calculus