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This module uses the Maple computing language to teach: perturbation expansions, accelerated convergence, Padé approximations, asymptotic expansions, eigenvalue problems, and Green’s functions.

M820 Calculus of Variations and Advanced Calculus covers functionals, Gâteaux differential, Euler–Lagrange equation, First-integral, Noether’s Theorem, Second variation/Jacobi equation and Sturm–Liouville systems.

The theory of nonlinear ordinary differential equations is introduced with emphasis on geometrical aspects, approximation schemes and the determination of stability and periodicity of solutions.

This module examines error-detecting and error-correcting codes built on algebraic structures, with associated encoding/decoding procedures and applicability, concluding with elements of cryptography.

This entry-level pure mathematics module introduces several concepts from number theory, including congruences, arithmetical functions and their averages, distributions of primes, quadratic reciprocity and Dirichlet’s theorem.

This module covers the second half of Apostol’s Introduction to Analytic Number Theory and proof of the prime number theorem.

This module deals with the geometry of fractals, sets that are often very beautiful and contain copies of themselves at many different scales.

This postgraduate mathematics module explores the relationship between groups and fields as described by Galois in the 19th century.

This innovative module allows you to take a topic of your choosing and focus on it in depth while developing your postgraduate study skills.