# Part B, Mathematics and Computer Science

In Part B of the examination, Mathematics and Computer Science students are required to offer eight optional subjects from Schedules B1(M&CS) and B2(M&CS) subject to the following conditions:

- at least two courses from Schedule B1(M&CS);

- at least two subjects from Schedule B2(M&CS);

- Students are not permitted to offer an optional subject in Part B that they have already offered in Part A of the examination.

**Please note** that if you intend to offer a Computer Science course scheduled in Trinity term
for examination then you must take the lectures and associated classes and practicals in your second year.

The following topics under Schedule S2 (M&CS) are recommended:

- Logic (B1.1)
- Set Theory (B1.2)
- Introduction to Representation Theory (B2.1)
- Commutative Algebra (C2.6)
- Galois Theory (B3.1)
- Geometry of Surfaces (B3.2)
- Algebraic Curves (B3.3)
- Algebraic Number Theory (B3.4)
- Topology and Groups (B3.5)
- Functional Analysis I (B4.1)
- Functional Analysis II (B4.2)
- Numerical Solutions of Differential Equations I (B6.1)
- Numerical Solutions of Differential Equations II (B6.2)
- Integer Programming (B6.3)
- Propability Measure and Martingales (B8.1)
- Continuous Martingales and Stochastic Calculus (B8.2)
- Information Theory (B8.4)
- Graph Theory (B8.5)
- Applied Probability (SB3.a)

Synopses for Maths courses can be found here.

Classes for courses in Schedule B2(M&CS) are administered by the Mathematical Institute. Please click here to sign up to Maths Part B classes: https://www.maths.ox.ac.uk/members/students/undergraduate-courses/teaching-and-learning/part-students/registration-part-b-1

In addition, you may apply to take other topics from the list of Mathematics Department courses and History of Mathematics. Please note that it will not be possible to guarantee that such additions could be scheduled to avoid a timetable clash.

Note that one Mathematics unit (usually 16-lecture course) will count as one of your Maths options.

Additional courses may be added to the schedules if resources permit.

Please make sure that you discuss with your tutor any prerequisites for courses, particularly those from Mathematics.

Please note that although practicals play no part in the degree classification, a candidate must pass the practical component of the course in order to pass the exam, i.e. candidates must achieve 40% or more overall in their practicals to pass. Up-to-date guidance on practicals can be found here.

#### Schedule B1(M&CS)

- Computer Security 16 Lectures, Michaelmas Term 2021
- Computer-Aided Formal Verification 16 Lectures, Michaelmas Term 2021
- Databases 16 Lectures, Michaelmas Term 2021
- Geometric Modelling 16 Lectures, Michaelmas Term 2021
- Machine Learning 20 Lectures, Michaelmas Term 2021
- Principles of Programming Languages 16 Lectures, Michaelmas Term 2021
- Artificial Intelligence 16 Lectures, Hilary Term 2022
- Computational Complexity 16 Lectures, Hilary Term 2022
- Computer Architecture 16 Lectures, Hilary Term 2022
- Computer Graphics 16 Lectures, Hilary Term 2022
- Knowledge Representation & Reasoning 16 Lectures, Hilary Term 2022
- Lambda Calculus and Types 16 Lectures, Hilary Term 2022
- Quantum Information 16 Lectures, Hilary Term 2022
- Computer Networks 14 Lectures, Trinity Term 2022
- Concurrency 16 Lectures, Trinity Term 2022
- Logic and Proof 16 Lectures, Trinity Term 2022