Schedule of Units

The confirmed synopses for Part B 2023-24 will be available on the course management
portal https://courses.maths.ox.ac.uk/ before the start of Michaelmas Term 2023.

Honour School of Mathematics - Units

See the current edition of the Examination Regulations (https://examregs.admin.ox.ac.uk/
) for the full regulations governing these examinations. Examination Conventions can be found at: https://www.maths.ox.ac.uk/members/students/undergraduatecourses/examin….

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. (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, examinable in 2024, will be published before Michaelmas Term
2023.

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 (MT)
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 (MT)
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)
SB3.1 Applied Probability (HT)
BEE Mathematical Extended Essay (MT/HT) [double unit]
BSP Structured Projects (MT/HT) [double unit]

The Part B synopses can be found here as well as on Moodle: Part B Mathematics Synopses 2023-24

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)
SB3.1 Applied Probability [unit] (HT)

For full details of these units see the syllabus and synopses for Part B of the Honour
School Mathematics and Statistics, which are available on the web at http://www.
stats.ox.ac.uk/current_students/bammath/course_handbooks/.

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 http:
//www.cs.ox.ac.uk/teaching/courses/.

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)

Unfortunately the Undergraduate Ambassador’s Scheme and Mathematical Education option courses are not running in 2023-24.

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 http://www.philosophy.ox.ac.uk/.