曼彻斯特大学纯数学专业项目网站

Pure Mathematics

英国公立科学

项目背景

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更新时间:2024-07-08

专业排名51

大学曼彻斯特大学

开学时间9月

课程学制1年

学费30000.00/GBP

专业介绍

This one year taught postgraduate programme leads to the degree of MSc in Pure Mathematics. The programme is suitable not only for students who wish to improve their background knowledge prior to applying to undertake a PhD by research, but also for students who wish to enhance their knowledge of postgraduate-level abstract mathematics. The MSc comprises of the taught component, running from the start of the academic year in September until the end of the second semester in late Spring, followed by the dissertation component running from June until September. During the taught component of the course, you will normally take six units together with a research skills and project unit. You may choose exclusively pure topics, or a mixture of pure mathematics units and mathematical logic units. In the research skills and project unit you will first complete a mini-project to improve mathematical writing skills, and then undertake a project. The project is normally an expository account of a piece of mathematics and you will write this under the guidance of a supervisor. The taught component comprises of conventional lectures supported by examples classes, project work and independent learning via reading material. After successfully completing the taught component, you will prepare a dissertation on an advanced topic in pure mathematics or mathematical logic, normally of current or recent research interest, chosen in consultation with your supervisor. You can also take the programme part-time, over a period of two years. There is some flexibility in the precise arrangements for this programme, but you would normally attend two lecture courses each semester for three semesters before commencing work on your dissertation. Within two weeks from the start of the academic year, students in this programme can opt to change to the Mathematical Logic Pathways leading to the degree of MSc in Pure Mathematics and Mathematical Logic.

推荐顾问

世界排名

2020年

51

2019年

51

2018年

51

2017年

51

语言要求

类型
雅思
托福
PTE
Listen
6
20
65
Speak
6
20
65
Read
6
20
65
Write
6
20
65
总分
6.5
90
70

学术要求

专业领域:数学及紧密相关专业。

课程设置

Mandatory:强制性 MSc Pure Mathematics Research and Project Skills:理学硕士纯数学研究和项目技能 Optional:可选 Measure Theory and Ergodic Theory:测量理论和遍历理论 Differentiable Manifolds:可微分流形 Algebraic Topology:代数拓扑 Noncommutative Algebra:非交换代数 Representation and Characters of Groups:群体的表示和特征 Lie Algebras:李代数 Galois Theory:伽罗瓦理论 Algebraic Number Theory:代数数论 Computation and Complexity:计算和复杂性 Set Theory:集合论 Model theory:模型理论 Dynamical Systems:动力系统 Creating a Sustainable World: Interdisciplinary Applications of the Sustainable Development Goals:创建可持续世界: 可持续发展目标的跨学科应用