There are four core courses:

- A1 Mathematical Methods I
- A2 Mathematical Methods II
- B1 Numerical Linear Algebra and Numerical Solution of Differential Equations
- B2 Further Numerical Linear Algebra and Continuous Optimisation

The core courses consist of both lectures and examples classes, and students must attend both. Some preparatory reading relating to the core courses is suggested. Recent past exam papers provide a good source of revision questions. In addition, older past exam papers can be found on the OXAM website. Some solutions are also available (you will need to be logged into the website to access these).

### A1 Mathematical Methods I

The Mathematical Methods I core course consists of 24 lectures in MT as follows:

- The 16 lectures comprising Applied Partial Differential Equations (Professor Andreas Münch), synopsis
- The 8 lectures comprising Supplementary Applied Mathematics (Dr Andrew Krause), synopsis

### A2 Mathematical Methods II

The Mathematical Methods II core course consists of 24 lectures in HT as follows:

- The first 8 lectures from the course Nonlinear Systems (Professor Jon Chapman), synopsis
- The 8 lectures comprising Further Partial Differential Equations (Professor Ian Griffiths), synopsis
- The 8 lectures comprising Further Mathematical Methods (Dr Andrew Krause), synopsis

### B1 Numerical Linear Algebra and Numerical Solution of Differential Equations

The Numerical Linear Algebra and Numerical Solution of Differential Equations core course consists of 24 lectures in MT as follows:

- The 16 lectures comprising Numerical Solution of Differential Equations I (Professor Endre Süli), synopsis
- The first 8 lectures from the course Numerical Linear Algebra (Professor Yuji Nakatsukasa), synopsis

### B2 Further Numerical Linear Algebra and Continuous Optimisation

The Further Numerical Linear Algebra and Continuous Optimisation core course consists of 24 lectures, 8 in MT and 16 in HT, as follows: