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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 they bring, and for their application in other subjects.

Key Information

Availability
Year, Spring Term
How to apply
More information
Tuition fees
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Faculty
Mathematical & Physical Sciences
Department website
Mathematics

Why study Mathematics at UCL?

The department is the third oldest mathematics department in England. It was ranked among the top ten UK Mathematics departments in the last (2014) UK government research assessment. Three of the six British winners of the Fields Medal have been members of the department. We have over ten nationalities on our staff, which represents a selection from the best of world mathematics.

What you will gain from study at UCL

You will be able to choose from modules which 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 wide range of popular module options, but it is not exhaustive and some modules may have changed or no longer be available. If you have a particular interest or academic requirement you are advised to cross reference the listing in the online Study Abroad Guide with that on the relevant departmental pages, and to contact the department to make sure that an appropriate module is available.

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 modules

Module code Title US credits ECTS credits CU credits
ECON1604 Economics 1 (Combined Studies) 8 (US) 15 (ECTS) 1 (CU)
MATH1101 Analysis 1 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH1102 Analysis 2 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH1201 Algebra 1 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH1202 Algebra 2 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH1203 Algebra for Joint Honours Students 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH1301 Applied Mathematics 1 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH1302 Newtonian Mechanics 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH1401 Mathematical Methods 1 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH1402 Mathematical Methods 2 4 (US) 7.5 (ECTS) 0.5 (CU)

Level 2 modules

Module code Title US credits ECTS credits CU credits
ECON2601 Economics 2 - Combined Studies 8 (US) 15 (ECTS) 1 (CU)
MATH2101 Analysis 3: Complex Analysis 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH2201 Algebra 3: Further Linear Algebra 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH2301 Fluid Mechanics 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH2401 Mathematical Methods 3 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH7102 Analysis 4: Real Analysis 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH7112 Geometry and Groups 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH7202 Algebra 4: Groups and Rings 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH7302 Analytical Dynamics 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH7304 Electromagnetism 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH7402 Mathematical Methods 4 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH7501 Probability and Statistics 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH7601 Computational Methods 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH7701 Number Theory 4 (US) 7.5 (ECTS) 0.5 (CU)

Level 3 modules

Module code Title US credits ECTS credits CU credits
MATH3101 Measure Theory 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH3103 Functional Analysis 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH3105 Probability 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH3109 Multivariable Analysis 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH3110 Linear Partial Differential Equations 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH3113 Differential Geometry 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH3201 Commutative Algebra 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH3202 Galois Theory 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH3203 Algebraic Topology 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH3204 Representation Theory 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH3301 Real Fluids 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH3304 Geophysical Fluid Dynamics 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH3305 Mathematics for General Relativity 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH3307 Biomathematics 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH3401 Mathematical Methods 5 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH3402 Waves and Wave Scattering 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH3502 Combinatorial Optimisation 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH3503 Graph Theory and Combinatorics 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH3506 Mathematical Ecology 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH3508 Financial Mathematics 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH3601 An Introduction to Mathematics 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH3603 Numerical Methods 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH3703 Prime Numbers and their Distribution 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH3704 Algebraic Number Theory 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH3705 Elliptic Curves 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH3801 Logic 4 (US) 7.5 (ECTS) 0.5 (CU)
MATH3802 History of Mathematics 4 (US) 7.5 (ECTS) 0.5 (CU)

Level 4 modules

Module code Title US credits ECTS credits CU credits
MATHM111 Spectral Theory 4 (US) 7.5 (ECTS) 0.5 (CU)
MATHM112 Geometric Measure Theory 4 (US) 7.5 (ECTS) 0.5 (CU)
MATHM114 Riemannian Geometry 4 (US) 7.5 (ECTS) 0.5 (CU)
MATHM205 Topology and Groups 4 (US) 7.5 (ECTS) 0.5 (CU)
MATHM206 Lie Groups and Lie Algebras 4 (US) 7.5 (ECTS) 0.5 (CU)
MATHM211 Algebraic Geometry 4 (US) 7.5 (ECTS) 0.5 (CU)
MATHM302 Asymptotic Methods and Boundary Layer Theory 4 (US) 7.5 (ECTS) 0.5 (CU)
MATHM306 Cosmology 4 (US) 7.5 (ECTS) 0.5 (CU)
MATHM505 Evolutionary Games and Population Genetics 4 (US) 7.5 (ECTS) 0.5 (CU)
MATHMM01 Advanced Modelling Mathematical Techniques 4 (US) 7.5 (ECTS) 0.5 (CU)
MATHMM04 Computational and Simulation Methods 4 (US) 7.5 (ECTS) 0.5 (CU)
MATHMM21 Quantitative and Computational Finance 4 (US) 7.5 (ECTS) 0.5 (CU)

Contact details

Name
Dr Robert Bowles
Email
r.bowles@ucl.ac.uk
Telephone
+44 (0)20 7679 3501
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