Pure Mathematics Modules

1
Pure Mathematics Modules

• 2009-10

www-groups.mcs.st-and.ac.uk/nik/Courses/Pure/
2
Pure Maths Level 3

• MT3501 Linear Mathematics linear spaces,
  matrices, normal forms, quadratic forms
• MT3600 Fundamentals of Pure Mathematics Numbers,
  functions, relations, sets, infinity

Dr Martyn Quick
Prof Nik Ruskuc
3
Pure Maths Level 4 (1)

• MT4003 Groups Detailed study of groups, their
  structure and properties.
• MT4004 Real Analysis continuity,
  differentiation, integrals.

Prof Nik Ruskuc
Prof Lars Olsen
4
Pure Maths Level 4 (2)

• MT4513 Fractal Geometry Examples and properties
  of fractals, dimension.
• MT4517 Finite Mathematics Coding, Latin squares,
  finite geometry, designs

Prof Kenneth Falconer...
... and his book
Dr Colva Roney-Dougal
5
Pure Maths Level 4 (3)

• MT4519 Number Theory (subject to revision) prime
  numbers, Diophantine equations, continued
  fractions
• MT4521 Geometry Topology groups of symmetries,
  fundamental groups of geometrical figures

Dr Bernd Stratmann
Dr John OConnor
6
Pure Maths Level 4/5

• MT4501/5613 History of Mathematics selected
  topics.

Dr John OConnor
Dr Colva Roney-Dougal
Dr Magda Carr
7
Pure Maths Level 5 (1)

• MT5824 Topics in Groups Advanced Group Theory.
• MT5825 Measure and Ergodic Theory Advanced
  Analysis.

Dr Martyn Quick
Dr Bernd Stratmann
8
Pure Maths Level 5 (2)

• MT5823 Semigroups General associative systems.
• MT5826 Finite Fields Examples, structure,
  applications.
• MT5990 Group Rings Rings constructed from a
  group and ring.

Dr James Mitchell
Dr Max Neunhoeffer
Dr Alexander Konovalov (CS)