10 Credits SPRING

Pre-requisites: MAS211

Aims/Description: This course is an introduction to some of the areas of pure mathematics which have evolved from the mathematical study of optics. Optics provides a unifying thread, but no prior knowledge of the properties of light is required. Mathematical topics covered include symplectic structures on vector spaces, symplectic maps and matrices, Lagrangian subspaces and characteristic functions and, if time permits, an introduction to the Maslov class and/or Symplectic manifolds. In terms of optics we cover Gaussian, linear and geometrical optics and (if time permits) an introduction to aberration.

Staff Contact: Dr K C H Mackenzie
Teaching Methods: Lectures, Independent Study
Assessment: Formal Exam

Information on the department responsible for this unit (Mathematics and Statistics):

Departmental Home Page
Teaching timetable


The content of our courses is reviewed annually to make sure it's up-to-date and relevant. Individual modules are occasionally updated or withdrawn. This is in response to discoveries through our world-leading research; funding changes; professional accreditation requirements; student or employer feedback; outcomes of reviews; and variations in staff or student numbers. In the event of any change we'll consult and inform students in good time and take reasonable steps to minimise disruption.

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Teaching methods and assessment displayed on this page are indicative for 2021-22. Students will be informed by the academic department of any changes made necessary by the ongoing pandemic.

Western Bank, Sheffield, S10 2TN, UK