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Part III (MMath/MASt)

Applied and computational analysis (ACA) is concerned with mathematical tools of broad applicability, e.g. ordinary and partial differential equations, nonlinear dynamical systems, integrable systems, numerical analysis, approximation theory, inverse problems and image analysis. While the approach is mathematical, the ultimate destination of these tools is to applications. This tension between the pure and the applied is at the core of different ACA themes.

Title Examinable Term Number of Lectures
Approximation Theory Part III Examinable Michaelmas 24
Distribution Theory and Applications Part III Examinable Michaelmas 16
Unbounded operators and semigroups Part III Examinable Michaelmas 16
Numerical Solution of Differential Equations Part III Examinable Lent 24
Inverse Problems Part III Examinable Lent 16
Topics in Convex Optimisation Part III Examinable Lent 16
Mathematical Analysis of the incompressible Navier-Stokes Equations Graduate Non-Examinable Lent 24
Introduction to Nonlinear Spectral Analysis Graduate Non-Examinable Lent 16