On this page, notes for the Cambridge Natural Sciences Tripos will slowly appear...
Lucy Cavendish Bridging Week
As part of the Lucy Cavendish Bridging Week, I ask students to complete a preparatory examples sheet on exponential functions, given below.
❧ Preparatory mathematics examples sheet
To do one of the starred (difficult and optional) questions, it will be useful to look up the Gaussian integral, described here.
Part IA Mathematics for Natural Sciences
In 2024-2025, I am supervising the Mathematics for Natural Sciences course. Here are my examples sheets.
Mathematics B
1. Lines, planes and the scalar product
2. The vector product, vector area and coordinate systems
3. Complex numbers
4. Hyperbolic functions and differential calculus
5. Formal real analysis
6. Taylor series, numerical methods, and Riemann sums
7. Integral calculus, multiple integrals and Gaussian integrals
8. Probability
Part IB Physics B: Electromagnetism
From 2024-2025 I supervised the Physics B Electromagnetism course, and I will be doing so again in 2025-2026. Here are my examples sheets for 2025-2026.
1. Electrostatic force and potential, electric dipoles, and Gauss’ law
2. Poisson’s equation and the method of images
3. Capacitors, electrostatic energy, virtual work, and dielectrics
4. The Biot-Savart law, magnetic dipoles, and Ampère’s law