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Mathematics at Imperial College London

Imperial College London offers an undergraduate course in Mathematics. The course is well-designed and tailored to provide high standard education. Modules studied in the first and second year include Analysis, Algebra, Probability, Mechanics and Statistics, Differential Equations, Complex Analysis, Orthogonality and Multivariable Calculus.

In the third and fourth year, students will choose from an extensive range of options in mathematical physics, pure mathematics, mathematical methods, applied mathematics, statistics and numerical analysis. Students may also choose to take modules from the Department of Humanities or the Business School. Students will conduct various individual projects throughout their degree programme.

Course Structure

The degree course is regularly revised to keep it updated and interesting. The college reviews the structure of the course units to take accounts of changes. The programme of study includes mainly of half-unit, one-term components, eight of which are taken in each year.

First Year

Eight lecture courses are available to students and each of half-unit weighting. Presently, these are as follows:

  • Algebra I
  • Analysis I
  • Geometry and Linear Algebra
  • Foundations of Analysis
  • Mechanics
  • Mathematical Methods I and II
  • Probability and Statistics I

At the end of the first year, students shall complete an individual project/essay in their selected area of interest. Students may choose from a wide spectrum of topics. They may choose their own topic or it can be proposed by the academic staff.

Second Year

Presently, there are ten examined courses of which students take eight. There are seven compulsory courses.

  • Complex Analysis
  • Algebra II
  • Real Analysis
  • Differential Equations
  • Orthogonality
  • Multivariable Calculus
  • Probability and Statistics II

One course is chosen from the following options:

  • Fluids and Dynamics
  • Statistical Modelling
  • Metric Spaces and Topology

After completing exams in the third term, there is a group project, which involves oral and written elements. The department arranges the groups and the project allocation.

Third and Fourth Year

A large choice of courses is available to students. These are in areas of mathematical physics, pure mathematics, applied mathematics, mathematical methods, statistics and numeral analysis. Some non-mathematical options and project courses from outside the department are available for instance, Ethical Dilemmas and Controversies in Science and Technology, History of Medicine, European History, Music and Western Civilization, Global History of Twentieth-century Things, Politics, Philosophy, Creative Writing, Music Technology, Science Communication and Philosophy of Science. There are some courses offered in management.

The main feature of the courses at this stage is flexibility. Some of the students remain broad in their interest whereas others prefer to specialize. The college provides a broad range of courses; therefore, students have a spectrum of options in which to specialize. It must be noted that the review of programmes in the department is ongoing and courses described here are subject to change.

Applied mathematics/numerical analysis/mathematical physics


  • Viscous Flow
  • Inviscid Fluid Mechanics
  • Asymptotic Analysis


  • Bifurcation Theory
  • Dynamical Systems
  • Geometrical Mechanics I: Symmetry and Dynamics


  • Mathematical Finance


  • Mathematical Biology

Mathematical physics:

  • Special Relativity and Electromagnetism
  • Mathematical Physics I: Quantum Mechanics
  • Methods of Mathematical Physics
  • Tensor Calculus and General Relativity

Numerical analysis/computation:

  • Computational Linear Algebra
  • Optimisation
  • Computational Partial Differential Equations I
  • Numerical Solution of Ordinary Differential Equations
  • Scientific computation

For more information about this course, please visit the college website.

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