Schedule of Units

Honour School of Mathematics - Units

See the current edition of the Examination Regulations for the full regulations governing these examinations. Please also review the Examination Conventions.

In Part B each candidate shall offer a total of eight units from the schedule of units. Each unit is the equivalent of a sixteen-hour lecture course.
(a) A total of at least four units offered should be from the schedule of ’Mathematics Department units’.
(b) Candidates may offer up to four units from the schedule of ’Other Units’ but with no more than two from each category (Statistics options, Computer Science options, Other options).
(c) Candidates may offer at most one double unit which is designated as an extended essay or a structured project, with the exception of BO1.1 History of Mathematics, which additionally includes an exam. (Units which may be offered under this heading are indicated in the synopses.)

All Mathematics Department lecture courses are independently available as units. Details of Part C units for the next academic year, will be published before the upcoming Michaelmas Term.

Mathematics Department Units

B1.1 Logic (MT)
B1.2 Set Theory (HT)
B2.1 Introduction to Representation Theory (MT)
B2.2 Commutative Algebra (HT)
B2.3 Lie Algebras (HT)
B3.1 Galois Theory (HT)
B3.2 Geometry of Surfaces (MT)
B3.3 Algebraic Curves (HT)
B3.4 Algebraic Number Theory (HT)
B3.5 Topology and Groups (MT)
B4.1 Functional Analysis I (MT)
B4.2 Functional Analysis II (HT)
B4.3 Distribution Theory (HT)
B4.4 Fourier Analysis (HT)
B5.1 Stochastic Modelling of Biological Processes (HT)
B5.2 Applied Partial Differential Equations (MT)
B5.3 Viscous Flow (MT)
B5.4 Waves and Compressible Flow (HT)
B5.5 Further Mathematical Biology (MT)
B5.6 Nonlinear Dynamics, Bifurcations and Chaos (HT)
B6.1 Numerical Solution of Partial Differential Equations (MT)
B6.2 Optimisation for Data Science (HT)
B6.3 Integer Programming (MT)
B7.1 Classical Mechanics (MT)
B7.2 Electromagnetism (HT)
B7.3 Further Quantum Theory (HT)
B8.1 Probability, Measure and Martingales (MT)
B8.2 Continuous Martingales and Stochastic Calculus (HT)
B8.3 Mathematical Models of Financial Derivatives (HT)
B8.4 Information Theory (MT)
B8.5 Graph Theory (MT)
B8.6 High Dimensional Probability (HT)
SB3.1 Applied Probability (HT)
BSP Structured Projects (MT/HT) [double unit]

The Part B synopses can be found here as well as on Moodle: Part B Mathematics Synopses 2024-25.

Other Units
1. Statistics Options
Students in Part B may take the units listed below, which are drawn from Part B of
the Honour School of Mathematics and Statistics.

The Statistics units available are as follows (please note these are all TBC):

SB1 Applied and Computational Statistics [double unit] (MT/HT)
SB2.1 Foundations of Statistical Inference [unit] (MT)
SB2.2 Statistical Machine Learning [unit] (HT)

For full details of these units see the syllabus and synopses for Part B of the Honour
School Mathematics and Statistics.

2. Computer Science Options
Students in Part B may take the units listed below, which are drawn from Part B of
the Honour School of Mathematics and Computing.

The Computer Science units available are as follows:

Lambda Calculus and Types [unit] (HT)
Computational Complexity [unit] (HT)
Combinatorial Optimisation [unit] (MT)

For full details of these units see the Department of Computer Science’s website.

3. Other Options

BO1.1 History of Mathematics [double unit] (MT/HT)
BOE: ”Other Mathematical” Extended Essay [double unit] (MT/HT)
Philosophy options - see below for details (double units)

Students in Part B may take the units listed below, which are drawn from Part B of the Honour School of Mathematics and Philosophy. Students interested in taking a Philosophy double unit are encouraged to contact their college tutors well in advance of term, to ensure that teaching arrangements can be made.

The Philosophy units available are as follows:

101 Early Modern Philosophy [double unit] (MT/HT)
102 Knowledge and Reality [double unit] (MT/HT)
122 Philosophy of Mathematics [double unit] (MT)
127 Philosophical Logic [double unit] (HT)

[Paper 101, 102, 122 and 127 in all Honour Schools including Philosophy. Teaching responsibility of the Faculty of Philosophy.]

For full details of these units see the Philosophy Faculty website.