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Mathematics

Mathematics encapsulates ideas of rigour, proof and abstraction. Our degrees are intellectually demanding and the rewards are enormous, both for the understanding of mathematics and its application in other subjects.

Key Information

Faculty
Mathematical & Physical Sciences
Department website
Mathematics
Availability
Year, Spring Term
English language level
Level 1 - see English language requirements for more details.
Tuition fees
see Tuition fees for more information
GPA requirement
3.3
Subject/Module requirements
Applicants must provide evidence of prerequisites and will be contacted on receipt of the application with further instructions.

Why study Mathematics at UCL?

The department is the third oldest mathematics department in England. It scored among the top 10 UK Mathematics departments in the last evaluation of research in UK universities (REF 2014). Three of the six British winners of the Fields Medal have been members of the department. Our academic staff are international with a wide range of countries represented, including China, Finland, Germany, Greece, Italy and Russia.

What you will gain from study at UCL

You will be able to choose from modules that range from the most elementary to the most advanced. Our students, past and present, tell us we are friendly and informal and that they really appreciate the personal attention the staff are able to give them. They also report having found the staff's commitment to their subject both infectious and stimulating.

Teaching and assessment

As far as possible, you will be treated the same as the undergraduate students enrolled on our own degree programmes. Teaching is by lecture and tutorial, assessment is by examination and assessed coursework. Our Fall Term modules are available only to Full Year Affiliate students.

Modules in Mathematics

Please note that this guide lists a range of popular modules offered as a representative sample. It is not exhaustive and, since the guide is published ahead of time, module options may have changed, been deleted or replaced. If you have very specific study needs or require confirmation of module availability for 2024/25, you are strongly advised to get in touch with the relevant Affiliate contact, listed on this subject page, before making an application.

Prerequisite knowledge will apply to all modules, across a range of breadth and depth. Please consult the Mathematics Department website to ascertain what is required for the module(s) you are interested in, and check with the Affiliate Tutor if you are still uncertain.

Level 1 (FHEQ 4) modules

Module code Title Availability US Credits ECTS Credits UCL Credits
MATH0002 Economics 1 (Combined Studies) Year 8 15 30
MATH0003 Analysis 1 Fall Term 4 7.5 15
MATH0004 Analysis 2 Spring Term 4 7.5 15
MATH0005 Algebra 1 Fall Term 4 7.5 15
MATH0006 Algebra 2 Spring Term 4 7.5 15
MATH0007 Algebra for Joint Honours Students Spring Term 4 7.5 15
MATH0008 Applied Mathematics 1 Fall Term 4 7.5 15
MATH0009 Newtonian Mechanics Spring Term 4 7.5 15
MATH0010 Mathematical Methods 1 Fall Term 4 7.5 15
MATH0011 Mathematical Methods 2 Spring Term 4 7.5 15

Level 2 (FHEQ 5) modules

Module code Title Availability US Credits ECTS Credits UCL Credits
MATH0013 Analysis 3: Complex Analysis Fall Term 4 7.5 15
MATH0014 Algebra 3: Further Linear Algebra Fall Term 4 7.5 15
MATH0015 Fluid Mechanics Fall Term 4 7.5 15
MATH0016 Mathematical Methods 3 Fall Term 4 7.5 15
MATH0034 Number Theory Spring Term 4 7.5 15
MATH0051 Analysis 4: Real Analysis Spring Term 4 7.5 15
MATH0052 Geometry and Groups Spring Term 4 7.5 15
MATH0053 Algebra 4: Groups and Rings Spring Term 4 7.5 15
MATH0054 Analytical Dynamics Spring Term 4 7.5 15
MATH0055 Electromagnetism Spring Term 4 7.5 15
MATH0056 Mathematical Methods 4 Spring Term 4 7.5 15
MATH0057 Probability and Statistics Spring Term 4 7.5 15
MATH0058 Computational Methods Spring Term 4 7.5 15

Level 3 (FHEQ 6) modules

Module code Title Availability US Credits ECTS Credits UCL Credits
MATH0017 Measure Theory Fall Term 4 7.5 15
MATH0018 Functional Analysis Spring Term 4 7.5 15
MATH0019 Multivariable Analysis Fall Term 4 7.5 15
MATH0020 Differential Geometry Fall Term 4 7.5 15
MATH0021 Commutative Algebra Fall Term 4 7.5 15
MATH0022 Galois Theory Fall Term 4 7.5 15
MATH0023 Algebraic Topology Spring Term 4 7.5 15
MATH0024 Geophysical Fluid Dynamics Spring Term 4 7.5 15
MATH0025 Mathematics for General Relativity Fall Term 4 7.5 15
MATH0026 Biomathematics Fall Term 4 7.5 15
MATH0027 Mathematical Methods 5 Fall Term 4 7.5 15
MATH0028 Combinatorial Optimisation Fall Term 4 7.5 15
MATH0029 Graph Theory and Combinatorics Fall Term 4 7.5 15
MATH0030 Mathematical Ecology Spring Term 4 7.5 15
MATH0031 Financial Mathematics Fall Term 4 7.5 15
MATH0032 An Introduction to Mathematica Spring Term 4 7.5 15
MATH0033 Numerical Methods Fall Term 4 7.5 15
MATH0035 Algebraic Number Theory Spring Term 4 7.5 15
MATH0036 Elliptic Curves Spring Term 4 7.5 15
MATH0037 Logic Spring Term 4 7.5 15
MATH0038 History of Mathematics Spring Term 4 7.5 15
MATH0069 Probability Spring Term 4 7.5 15

Level 4 (FHEQ 7) modules

Module code Title Availability US Credits ECTS Credits UCL Credits
MATH0065 Advanced Modelling Mathematical Techniques Fall Term 4 7.5 15
MATH0070 Linear Partial Differential Equations Fall Term 4 7.5 15
MATH0071 Spectral Theory Fall Term 4 7.5 15
MATH0072 Riemannian Geometry Fall Term 4 7.5 15
MATH0073 Representation Theory Spring Term 4 7.5 15
MATH0074 Topology and Groups Spring Term 4 7.5 15
MATH0075 Lie Groups and Lie Algebras Spring Term 4 7.5 15
MATH0076 Algebraic Geometry Fall Term 4 7.5 15
MATH0077 Real Fluids Fall Term 4 7.5 15
MATH0078 Asymptotic Methods and Boundary Layer Theory Spring Term 4 7.5 15
MATH0079 Cosmology Spring Term 4 7.5 15
MATH0080 Waves and Wave Scattering Spring Term 4 7.5 15
MATH0082 Evolutionary Games and Population Genetics Spring Term 4 7.5 15
MATH0083 Prime Numbers and their Distribution Fall Term 4 7.5 15
MATH0086 Computational and Simulation Methods Fall Term 4 7.5 15
MATH0088 Quantitative and Computational Finance Fall Term 4 7.5 15

Contact details

Name
Samuel Coskey
Email
s.coskey@ucl.ac.uk

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