# Part C, Mathematics and Computer Science

Maths and Computer Science Part C students are required to take either six optional units from schedules C1 and C2 and a Mathematics Dissertation or five optional subjects and a Computer Science Project. Schedule C1 will contain Computer Science options and Schedule C2 will contain Mathematics options.

Each of the optional subjects will be examined by a sit-down paper or by a mini-project (please note that most of the Computer Science options will be examined by mini-project). Mini-projects will be handed out to candidates on the last Friday of the term in which the subject is being taught and have to be submitted in week -1 of the following term.

Please note that the Computer Science courses in Part C are 50% bigger than those in earlier years, i.e. for each course in the 3rd year undergraduates are expected to undertake about 10 hours of study per week, but 4th year courses will each require about 15 hours a week of study. Computer Science lecturers are providing this extra work in a variety of ways, e.g. some will give 16 lectures but will require you to undertake extra reading, classes and/or practicals, whereas others will be giving 24 lectures, and others still will be doing something in between. Please look at each synopsis for details on this.

#### Schedule C1

- Advanced Complexity Theory 20 Lectures, Michaelmas Term 2022
- Bayesian Statistical Probabilistic Programming 16 Lectures, Michaelmas Term 2022
- Combinatorial Optimisation 16 Lectures, Michaelmas Term 2022
- Computational Biology 20 Lectures, Michaelmas Term 2022
- Computational Learning Theory 24 Lectures, Michaelmas Term 2022
- Concurrent Algorithms and Data Structures 20 Lectures, Michaelmas Term 2022
- Graph Representation Learning 18 Lectures, Michaelmas Term 2022
- Law and Computer Science 16 Lectures, Michaelmas Term 2022, Hilary Term 2023
- Probabilistic Model Checking 20 Lectures, Michaelmas Term 2022
- Probability and Computing 20 Lectures, Michaelmas Term 2022
- Quantum Processes and Computation 24 Lectures, Michaelmas Term 2022
- Advanced Security 18 Lectures, Hilary Term 2023
- Computational Game Theory 20 Lectures, Hilary Term 2023
- Database Systems Implementation 22 Lectures, Hilary Term 2023
- Deep Learning in Healthcare Hilary Term 2023, Trinity Term 2023
- Ethical Computing in Practice 16 Lectures, Hilary Term 2023
- Foundations of Self-Programming Agents 20 Lectures, Hilary Term 2023
- Geometric Deep Learning 18 Lectures, Hilary Term 2023
- Quantum Software 16 Lectures, Hilary Term 2023
- Requirements 16 Lectures, Trinity Term 2023

Any Maths Schedule C option may be taken, see here, but the following are recommended:

- C1.1 Model Theory
- C1.2 Godel's Incompleteness Theorems
- C1.3 Analytic Topology
- C1.4 Axiomatic Set Theory
- C2.1 Lie Algebras
- C2.2 Homological Algebra
- C2.3 Representation Theory of Semisimple Lie Algebras
- C2.4 Infinite Groups
- C2.5 Non Commutative Rings
- C2.6 Introduction to Schemes
- C2.7 Category Theory
- C3.1 Algebraic Topology
- C3.2 Geometric Group Theory
- C3.3 Differentiable Manifolds
- C3.4 Algebraic Geometry
- C3.5 Lie Groups
- C3.6 Modular Forms
- C3.7 Elliptic Curves
- C3.8 Analytic Number Theory
- C3.10 Additive and Combinatorial Number Theory
- C4.1 Functional Analysis
- C4.2 Linear Operators
- C6.1 Numerical Linear Algebra
- C8.1 Stochastic Differential Equations
- C8.3 Combinatorics
- C8.4 Probabilistic Combinatorics
- Computational Algebraic Topology