The Numerical Analysis Undergraduate Study Pathway
This page is for students studying in the Department of Mathematics at The University of Manchester.
Since navigating your way through the list of undergraduate options can be tricky, we have grouped together below all the courses that have a numerical analysis flavour. Together, these courses provide a study pathway for those students wishing to specialise in numerical analysis during their BSc or MMath degree. Our courses range from purely theoretical ones on approximation theory to practical computing.
Second Year
In the compulsory course PDEs and Vector Calculus, all students will start to gain insight into the science of numerical analysis. In particular, approximation schemes are introduced for solving ordinary and partial differential equations.
 MATH20401: PDEs and Vector Calculus A (core for Single Honours students)
 MATH20411: PDEs and Vector Calculus B (core for Joint Honours students)
The first optional course that is wholly dedicated to numerical analysis is:
 MATH20602: Numerical Analysis 1 (second semester)
This course is a prerequisite for some of the numerical analysis options in the third and fourth years.
Third Year
In the third year, there are currently five numerical analysis lecture courses to choose from.
 MATH36001: Matrix Analysis
MATH36041: Essential Differential Equations MATH36022: Numerical Analysis 2
 MATH36032: Problem Solving by Computer
 MATH36061: Convex Optimisation
The following project options are also available:
 MATH3000: Double Project – Semesters 1 and 2
 MATH3011: Project – Semester 1 only
 MATH3022: Project – Semester 2 only
Members of staff who supervise numerical analysis projects include:
 Simon Cotter
 Stefan Guettel
 Nick Higham
 Françoise Tisseur
 Catherine Powell
 David Silvester
 Marcus Webb
A list of specific numerical analysis (and other applied) projects is available in our Study section. Please contact individual supervisors from the above list for more up to date details. We welcome enquiries by students interested in doing a project on any aspect of numerical analysis, not just those listed.
Fourth Year
MMath students may choose the following numerical analysis courses.

 MATH46101: Numerical Linear Algebra
 MATH49111: Scientific Computing
 MATH46132: Numerical Optimization and Inverse Problems
 MATH46052: Approximation Theory and Finite Element Analysis
All MMath students are required to do a project. As in the third year, the following options are available:
 MATH4000: Double Project – Semesters 1 and 2
 MATH4011: Project – Semester 1 only
 MATH4022: Project – Semester 2 only
Please contact the staff members listed above if you are interested in doing a numerical analysis project in the fourth year.
FAQs
What is Numerical Analysis?
Numerical Analysis is an exciting branch of applied mathematics, that is concerned with approximation (e.g. eigenvalues of matrices, solutions of linear systems or differential equations), and analysing the resulting errors.
What do Numerical Analysts do?
Numerical Analysts strive to develop practical algorithms to approximate solutions to complex realworld problems, as well as to develop rigorous theory to establish error bounds and convergence.
What can I do with Numerical Analysis?
Numerical Analysts are employed, e.g., in finance, industry, and research institutions, as well as in academia.
Numerical Analysts make computers solve realworld problems.