Welcome to *Scholar*. This is an experiment in putting lecture notes online. It's a work in progress and material is being added and improved all the time.

News: posts on Scholar

Threads weave a path through the collection of articles. They correspond to a course or part of a course.

3
Classical
0 articles

Exploration of the role of symmetry in physics. Covering topics from the principle of stationary action, Lagrangians, Hamiltonians and Noether's theorem.

3
Quantum
0 articles

A course on quantum theory, concentrating on the structure of quantum mechanics as a basis of physical theory rather than the quantum physics of particular systems. We take a Hilbert space approach.

3
Probability
5 articles

Exploration of the role of probability in various areas of physics

2
Classical
12 articles

The physics and mathematics of rotating systems.

2
Classical
11 articles

The classical theory for oscillations and waves at a second year university level.

1
Probability

In this workshop, we'll introduce and examine the consequences of probability theory in various areas of physics. From the meaning of probabilities, to how to reason with incomplete information, model comparison, parameter estimation, and modelling with Bayesian networks. The approach will view probabilities as an extension of logic (i.e. following Laplace, Bernoulli, Cox, Jaynes, etc)

3
Probability

Model comparison is one of the principal tasks on inference. Given some data, how does the plausibility of different models change? Does the data select out a particular model as being better?

3
Probability

Given that we are interpreting probability as a measure of plausibility, just what is the relationship of probabilities to frequencies?

3
Probability

Some consequences of the product rule are explored including the famous Bayes' rule.

3
Probability

Find the probability distribution that maximises the entropy subject to requiring some averages to be fixed.

4
Probability

In this workshop we'll introduce and examine the consequences of probability theory in various areas of physics. From the meaning of probabilities, to how to reason with incomplete information, model comparison, parameter estimation, and modelling with Bayesian networks. The approach will view probabilities as an extension of logic (i.e. following Laplace, Bernoulli, Cox, Jaynes, etc)

2
Probability

Variables are introduced and then some consequences of the sum-rule are explored.

2
Rotation Dynamics

Equations of motion for a gyroscope are derived by considering the torques.

2
Rotation Dynamics

In a rotating coordinate system, a free particle moves in a way that appears to be affected by three forces: the centrifugal force, the Coriolis force and the Euler force. These forces arise only from the rotation of the coordinate system.

1
Rotation Dynamics

The description of 2D rotational motion is further developed in analogue to linear dynamics by introducing the rotational equivalents of force, momentum and mass.