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 A
1. Vectors, lines and the scalar product
2. Planes and the vector product
3. Vector area, coordinate systems, and Cartesian complex numbers
4. Euler's formula and hyperbolic functions
5. Differentiation and curve-sketching
6. Integration
7. Power series and numerical methods
8. Probability
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