Course Coordinator: 
Liron Speyer
Linear Algebra

A rigorous mathematical introduction to linear algebra, directed at physics or engineering students, but also beneficial to neuroscientists and others who require linear and matrix algebra in their research.  Course assignments offer practice in working with linear maps between vector spaces, how these can be realised as matrices, and how this can be applied to solving systems of linear equations.  Topics include matrix operations, solving systems of linear equations, eigenvalues, eigenvectors, diagonalisation and Gram-Schmidt orthonormalisation. Not intended for mathematicians. 


Alternating year course,  AY2023, AY2025

A basic math course for physics and/or engineering students, and also of interest to neuroscientists and others who need linear and matrix algebra in their research. Not intended for those with a solid mathematics degree.
Course Content: 
  • Fields, vector spaces, and bases.
  • Matrix operations and solving systems of linear equations.
  • Row reduction and determinants.
  • Change of coordinates.
  • Eigenvalues, eigenvectors, diagonalisation.
  • Gram-Schmidt orthonormalisation.
Course Type: 
Homework 50% – approx. 3 hours per week. There will be 10 homework sets, one each week. Final exam 50%
Text Book: 
  • Linear Algebra Done Wrong – Sergei Treil
Reference Book: 
    Prior Knowledge: 
    Familiarity with real and complex numbers.  Previous exposure to mathematical proofs strongly recommended.

    Alternate years course: AY2023 and AY2025