Mathematics at Imperial College London
Imperial College London offers an undergraduate course in Mathematics. The course is welldesigned 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 halfunit, oneterm components, eight of which are taken in each year.
First Year
Eight lecture courses are available to students and each of halfunit 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 nonmathematical 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 Twentiethcentury 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
Fluids:
 Viscous Flow
 Inviscid Fluid Mechanics
 Asymptotic Analysis
Dynamics:
 Bifurcation Theory
 Dynamical Systems
 Geometrical Mechanics I: Symmetry and Dynamics
Finance:
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.
