Mathematics

Some of my previous lecture notes can be downloaded from the slideshow on the right.

Some previous modules taught at various universities:

1st year: Real analysis, vector calculus, discrete mathematics, mathematical methods for physicists, introduction to programming in MATLAB and Python.
2nd year: Complex analysis, numerical analysis
3rd year: Differential geometry, mathematical problem solving
4th year: Cosmology, advanced differential geometry, maths for computer games and computer graphics.

I also offer a number of undergraduate research and masters projects. Previous titles include:

The Einstein Field Equations
Gravitational waves from the early Universe
Dark energy and modified gravity
Bayesian data analysis in Python
Monte-Carlo methods and cryptography
Extreme-value statistics in cosmology
Spectral distortion of the CMB

I welcome enquiries from final-year and graduate students about project supervision (including Warwick URSS, 4th year maths/physics projects and PhD enquiries).

Analysis II

A second course in real analysis for first-year undergraduates at Warwick (2020)

Introduction to Numerical Analysis (16/17)

Computer arithmetic, root-finding, solving linear systems, interpolation, numerical calculus. Lots of MATLAB activities.

Differential Geometry 18/19

Curves, surfaces, curvatures. For 3rd year mathematicians.

MATLAB worksheets (2016-17)

I designed these 7 worksheets (2 hours each) to give 1st year mathematicians basic competencies in MATLAB and MuPad.

LaTeX worksheets (version 2016-17)

I designed these 4 worksheets (2 hours each) to give 1st year mathematicians basic competencies in LaTeX (up to the use of BibTeX).

$LaTeX worksheets (version 2016-17)$