UCL Department of Mathematics

Mathematics

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All Options Available to BSc, MSci students

ALL YEAR 3 MATHEMATICS OPTIONS

(i) Main Maths Options

Analysis modules MATH31* (depend mainly on 1101, 1102, 7102, sometimes on 2101)

3101 Measure Theory (Designated) Term 1

3103 Functional Analysis (Designated) Term 2

3105 Probability Term 2

3109 Multivariable Analysis Term 1

3113 Differential Geometry Term 1

Algebra modules MATH32* (depend mainly on 1201, 1202 sometimes on 2201, 7202)

3201 Commutative Algebra Term 1

3202 Galois Theory (Designated) Term 2

3203 Algebraic Topology (Designated) Term 2

3204 Representation Theory Term 1

Applied/Methods Mathematics modules MATH33* and MATH34* (depend mainly on 1401/2, 2401, 7402, some on 1301/2 and 2301)

3301 Real Fluids (Designated) Term 1

3304 Geophysical Fluid Dynamics (Designated) Term 2

3305 Mathematics for General Relativity (Designated) Term 1

3307 Biomathematics (Designated) Term 1

3401 Mathematical Methods 5 (Designated) Term 1

3402 Waves and Wave Scattering Term 2

Applicable Mathematics modules MATH35**, MATH36** (depend on a variety of different modules)

3502 Combinatorial Optimisation Term 1

3503 Graph Theory and Combinatorics Term 1

3506 Mathematical Ecology (Designated) Term 2

3508 Financial Mathematics Term 1

3601 An Introduction to Mathematica Term 2

3603 Numerical Methods Term 1

Number Theory modules MATH37** (3704 and 3705 depend on algebra background, 3703 on complex analysis and 3701 on a little algebra)

3703 Prime Numbers and their Distribution Term 1

3704 Algebraic Number Theory (Designated) Term 2

3705 Elliptic Curves Term 2

Various modules (no dependence on specific modules)

3801 Logic Term 2

3802 History of Mathematics Term 2

(ii) Other Maths Options

7***: Year 2 options

7102 Analysis 4: Real Analysis Term 2

7202 Algebra 4: Groups and Rings Term 2

7302 Analytical Dynamics Term 2

7402 Mathematical Methods 4 Term 2

7501 Probability and Statistics Term 2

7601 Computational Methods Term 2

7701 Number Theory Term 2

(iii) Other Options

Mathematics Education Module (IoE) (03MA0075 is UCL code for this)

STAT3101 Probability and Statistics II (Designated for Maths with Econ/Maths with Mans)*

STAT3102 Stochastic Processes (Designated for Maths with Econ/Maths with Mans)*

STAT3004 Decision and Risk*

PHAS2222 Quantum Physics

* Please note that it is necessary to register in the Statistics Department for any Statistics module, including these ones.