optional modules:：可选模块: Modules in Pure Mathematics:：纯数学中的模块: Algebraic Topology IV：代数拓扑IV Analysis III/IV：分析三/四 Codes and Cryptography III：代码和密码学III Differential Geometry III：微分几何III Galois Theory III：伽罗瓦理论三 Geometry III/IV：几何三/四 Mathematical Dynamics IV：数学动力学IV Number Theory III/IV：数论III/IV Representation Theory IV：表征理论四 Riemannian Geometry IV：黎曼几何IV Topology III：拓扑III Topics in Algebra and Geometry IV：代数和几何主题四 Modules in Probability and Statistics:：概率和统计中的模块: Bayesian Statistics III/IV：贝叶斯统计III/IV Mathematical Finance III/IV：数学金融III/IV Decision Theory III：决策理论三 Operations Research III：运筹学三 Statistical Methods III：统计方法三 Stochastic Processes III/IV：随机过程III/IV Modules in Applications of Mathematics:：数学应用中的模块: Advanced Quantum Theory IV：先进量子理论IV Fluid Mechanics III/IV：流体力学III/IV Dynamical Systems III：动力系统III General Relativity IV：广义相对论IV Mathematical Biology III：数学生物学三 Partial Differential Equations III：偏微分方程III Quantum Information III：量子信息III Quantum Mechanics III：量子力学III Statistical Mechanics IV：统计力学IV Solitons III/IV：孤子三/四 Topics in Applied Mathematics IV：应用数学主题IV