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HomeMathematics 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.
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.
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.
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.
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 to ascertain what is required for the module(s) you are interested in, and check with the Affiliate Tutor if you are still uncertain.
Module code | Title | Availability | US Credits | ECTS Credits | UCL Credits |
---|---|---|---|---|---|
MATH0043 | Mathematics for Physics and Astronomy | Spring Term | 4 | 7.5 | 15 |
MATH0045 | Calculus and Linear Algebra | Fall Term | 4 | 7.5 | 15 |
MATH0046 | Calculus in Several Dimensions | Spring Term | 4 | 7.5 | 15 |
MATH0049 | Mathematics for Engineers 1 | Fall Term | 4 | 7.5 | 15 |
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 |
MATH0039 | Differential and Integral Calculus | Fall Term | 4 | 7.5 | 15 |
MATH0040 | Mathematics for Science 1 | Fall Term | 4 | 7.5 | 15 |
MATH0041 | Mathematics for Science 2 | Spring Term | 4 | 7.5 | 15 |
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 |
MATH0042 | Mathematical Methods in Chemistry | Fall Term | 4 | 7.5 | 15 |
MATH0047 | Advanced Linear Algebra | Fall Term | 4 | 7.5 | 15 |
MATH0048 | Mathematical Analysis | 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 |
MATH0101 | Linear Algebra for Data Science | Spring Term | 4 | 7.5 | 15 |
MATH0103 | Discrete Mathematics | Fall Term | 4 | 7.5 | 15 |
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 | Fall Term | 4 | 7.5 | 15 |
MATH0038 | History of Mathematics | Spring Term | 4 | 7.5 | 15 |
MATH0050 | Logic | Spring Term | 4 | 7.5 | 15 |
MATH0069 | Probability | Spring Term | 4 | 7.5 | 15 |
Module code | Title | Availability | US Credits | ECTS Credits | UCL Credits |
---|---|---|---|---|---|
MATH0061 | Further topics in algebraic number theory | Spring Term | 4 | 7.5 | 15 |
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 |
MATH0090 | Elliptic Partial Differential Equations | Spring Term | 4 | 7.5 | 15 |
MATH0092 | Variational Methods for Partial Differential Equations | Spring Term | 4 | 7.5 | 15 |
MATH0102 | Applied Stochastic Methods | Spring Term | 4 | 7.5 | 15 |
MATH0104 | Modular Forms | Fall Term | 4 | 7.5 | 15 |
MATH0107 | Probabilistic Method in Combinatorics | Spring Term | 4 | 7.5 | 15 |
MATH0108 | Commutative Rings and Algebras | Spring Term | 4 | 7.5 | 15 |
MATH0109 | Theorem Proving in Lean | Spring Term | 4 | 7.5 | 15 |
MATH0114 | Solid Mechanics | Spring Term | 4 | 7.5 | 15 |
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