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).
Introduction to Inverse Problems
Linear Transformations
Regularization and the Linear Inverse Problem
Introduction to Probability and Statistics
Bayesian Inference
The Recursive Linear Inverse Problem and Kalman Filters
Stochastic Simulation
Sampled Solutions to Inverse Problems
Output Analysis
Linear Systems and Transform Methods
Preface
Dirac Delta Functions and Distributions
Linear Systems and Stability
The Fourier Transform
Sampling in Frequency and Time
The Hilbert Transform and Modulation
The Laplace Transform
Fourier Optics, Gaussian Beam Propagation and Dispersion
Energy, Power, Random Signals and Noise
The Discrete Fourier Transform
Statistical Mechanics
Review of Classical Thermodynamics
Fundamentals of Statistical Mechanics
The Vibrational Heat Capacity Of Solids
The Classical Ideal Gas
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.
Resonant Matching Networks and Maximum Power Transfer
Numerical Frequency Domain Analysis
Mesh And Nodal Analysis
Network Behavior in the Time Domain
Poles, Zeros and Bode Plots
Nyquist Plots
Introduction To Non-Linear Network Analysis
Numerical Calculation Of Transient Response Of Linear Networks
Feedback And Oscillation
Linear Two Port Networks and ABCD Matrices
Active Filters
Analogue Modulation
Phase Locked Loops
Transmission Lines
Classical Mechanics
Dynamics of a Single Particle
Systems of Particles
Scalar Mechanics
Mathematical Methods
Examples of Modelling in Physics
Vector Calculus