Year 2 · UCL
Year 2 Methods and Modelling
Undergraduate
Methods-heavy second-year work across complex analysis, fluid mechanics, mathematical methods, electromagnetism, quantum physics, atomic physics, and statistical physics.
- differential equations
- computational methods
- physics
- quantum physics
- fluid mechanics
This course map is for methods that begin to turn mathematical and physical ideas into reusable tools: differential equations, approximations, numerical methods, and modelling judgment.
Courses
- MATH0013 Analysis 3: Complex Analysis.
- MATH0015 Fluid Mechanics.
- MATH0016 Mathematical Methods 3.
- MATH0056 Mathematical Methods 4.
- PHAS0021 Electricity and Magnetism.
- PHAS0022 Quantum Physics.
- PHAS0023 Atomic and Molecular Physics.
- PHAS0024 Statistical Physics of Matter.
Themes to connect
- Differential equations, boundary conditions, transforms, and stability arguments.
- Numerical methods, error checks, and validation habits.
- Quantum and statistical physics problems that benefit from computational experiments.
- Fluid and electromagnetic models where assumptions determine whether a simplified equation remains meaningful.
Public evidence
The multiphase tumour-growth report is linked as an extra summer mathematics department project output. Current independent work on the one-dimensional Schrodinger equation and quantum oscillator models extends the Year 2 methods track toward computational quantum mechanics.