Intermediate-level modules |
Credits |
Next start |
- Advanced mathematical methods (M833)
Advanced mathematical methods using the algebraic computing language Maple. Perturbation expansions, accelerated convergence, Padé approximations, asymptotic expansions, eigenvalue problems, Green’s functions.
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30 |
02 Oct 2021 |
- Analytic number theory II (M829) 2
Sequel to M823, based on the second half of Apostol’s Introduction to Analytic Number Theory. Includes a proof of the prime number theorem.
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|
30 |
No current presentation |
- Approximation theory (M832)
This module, based on M.J.D. Powell’s ‘Approximation Theory and Methods’, will develop your understanding of the mathematics behind many methods of approximating functions and data.
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30 |
No current presentation |
- Coding theory (M836)
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.
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|
30 |
No current presentation |
- Fractal geometry (M835)
This module deals with the geometry of fractals, sets that are often very beautiful and contain copies of themselves at many different scales.
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|
30 |
02 Oct 2021 |
- Galois theory (M838)
This postgraduate mathematics module explores the relationship between groups and fields as described by Galois in the 19th century.
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30 |
No current presentation |
- Nonlinear ordinary differential equations (M821)
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.
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|
30 |
02 Oct 2021 |
Or, subject to the rules about excluded combinations, the discontinued modules M431, M822, M824, M826, M827, M828, M830, M841, M860, M861, MZX861, PMT600 and PMT601. |
1Only under exceptional circumstances may you study 150 credits at intermediate level, i.e. without first studying an entry-level module. |
2If you choose Analytic number theory II (M829), you must take Analytic number theory I (M823) first. |