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This is a triptych of courses to be taken together:

  • linear algebra
  • differential equations
  • Scotland, the city of Glasgow and the origins of the modern world.

The central topics of the linear algebra course are:

  • the basic theory of vector spaces; and the concept of a linear transformation, with emphasis on the use of matrices to represent linear maps.
  • Eigenvalues and eigenvectors are also defined and studied so that the process of diagonalising a square matrix can be discussed.

The differential equations course introduces general theory and methods for solutions covering; first and second order differential equations, separation of variables, linear differential equations, systems of first order equations, nonlinear differential equations and stability.

You will also examine the history, politics, culture and socio-economic development of Scotland. The ideas of cultural figures living in Scotland during the Scottish Enlightenment shaped the world, contributing to inventions including the steam engine, television, the telephone, penicillin, radar, and electromagnetism.

Entry requirements

Entry requirements

  • GPA of 3.0 (or equivalent)

If your first language is not English, you must meet our minimum proficiency level:

  • International English Language Testing System (IELTS) Academic module (not General Training) overall score of 6.0, with no sub test less than 5.5
  • we also accept equivalent scores in other recognised qualifications such as ibTOEFL, CAE, CPE and more
  • visit eligibility

This is a guide, for further information email rio-internationalsummerschools

Field trips

Field trips include

  • Glasgow and some of its key cultural sites
  • Stirling Castle and the Wallace Monument
  • Robert Burns Museum and Heritage Park
  • Culzean Castle
  • The Scottish Parliament and Edinburgh
  • New Lanark UNESCO World Heritage Site.

Why Glasgow?

This is an opportunity to learn in a 'flipped' classroom where the focus is on your understanding. We use traditional and computerised assessment methods in conjunction with pre-session readings to provide regular feedback.