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新加坡国立大学–数学理学硕士

M.Sc. in Mathematics by Coursework

项目概述(学制一年)

The history of the Department went as far back as 1929, when Raffles College first opened its doors. The then science faculty offered courses in Mathematics, Chemistry and  Physics, with a population of ten students and three faculty members including one in mathematics. The first Head of the Department of Mathematics (from  1931 to 1959) was Professor Alexander Oppenheim, who was a student of G. H. Hardy but received his PhD from the University of Chicago, and also of the Oppenheim Conjecture fame. From 1929, major developments followed in the educational system of Singapore, leading eventually to the establishment of the National University of Singapore (NUS) with the merger of the University of Singapore and Nanyang University in 1980. During this period, the Department expanded its undergraduate and research programmes, but both remained relatively small.

数学系的历史可以追溯到1929年莱佛士学院首次开放。当时的科学系提供数学,化学和物理课程,有10名学生和3名教师,其中有1名数学教师。数学系的第一任主任(1931年至1959年)是亚历山大·奥本海姆教授,他是G.H.Hardy的学生,获得了芝加哥大学的博士学位,并因奥本海姆猜想成名。从1929年开始,新加坡教育体系发展迅速,1980年新加坡大学和南洋大学合并,成为新加坡国立大学。在此期间,该系扩大了本科和研究项目,但规模都相对较小。

With the formation of NUS, the Department entered a new  era. As a result of the merger, the Department acquired a staff strength of about 35. New campus in Kent Ridge, transfer of faculties and  departments were completed in 1986. Since then, the Department has experienced extraordinary growth, in the breadth and scale of its undergraduate programmes, in the depth and vibrancy of its postgraduate programmes, and in the steadily increasing research capacity and reputation of its faculty.

随着新加坡国立大学的成立,该系进入了一个新时代。由于合并,该系的教职工人数达到将近35人。在肯特岗的新校区,院系和部门的转移工作于1986年完成。从那时起,其本科项目的广度和规模,研究生项目的深度和活力,教师杰出的研究能力享誉世界。

This programme aims to provide advanced training in mathematics with an emphasis on coursework. It offers opportunities to those who have an Honours degree or a Bachelor’s degree in mathematics to build and enhance their professional skills and qualifications in advanced mathematics in general and/or in some specialized areas of applied mathematics.

本项目旨在提供数学前沿知识的课程,使获得数学荣誉学位或学士学位者培养和提高在高等数学/应用数学某些专业领域的技能和资格。

课程设置

MA6201 Topics in Algebra and Number Theory I

代数与数论专题1

MA6202 Topics in Algebra and Number Theory II

代数与数论专题2

MA6205 Topics in Analysis I

分析专题1

MA6206 Topics in Analysis II 

分析专题2

MA6211 Topics in Geometry and Topology I

几何和拓扑专题1

MA6212 Topics in Geometry and Topology II
几何和拓扑专题2

MA6215 Topics in Differential Equations

微分方程专题

MA6216 Advanced Dynamical Systems

高级动力系统

MA6217 Homotopy Theory

同伦论

MA6219 Recursion Theory
递归论

MA6220 Model Theory
模型论

MA6221 Topics in Combinatorics
组合数学专题

MA6222 Set Theory I
集合论1

MA6223 Set Theory II

集合论2

MA6225 Topics in Coding Theory and Cryptography
编码理论与密码学专题

MA6235 Topics in Financial Mathematics

金融数学专题

MA6241 Topics in Numerical Methods
数值方法专题

MA6251 Topics in Applied Mathematics I
应用数学专题1

MA6252 Topics in Applied Mathematics II
应用数学专题2

MA6253 Conic Programming

圆锥曲线编程

MA6291 Topics in Mathematics I 
数学专题1

MA6292 Topics in Mathematics II
数学专题2

MA6293 Topics in Mathematics III

数学专题3

入学要求

TRACK 1 (40MC PROGRAMME)途径1(40学分)

  • an  Honours degree in mathematics or an equivalent qualification, or

  • 获得数学荣誉学位或同等资格

    数学荣誉学位或同等资格,或数学荣誉学位或同等资格,或

  • an  Honours degree in a discipline with strong training in mathematics at  university level.

  • 获得大学相关荣誉学位,在数学方面接受过专业训练

TRACK 2 (80MC PROGRAMME)途径2(80学分)

  • a  three-year Bachelor’s degree in mathematics or an equivalent qualification, or

  • 获得三年制数学学士学位或同等资格

  • a  three-year Bachelor’s degree in a discipline with strong training in  mathematics at university level.

  • 获得三年制大学相关荣誉学位,在数学方面接受过专业训练

       

OTHER REQUIREMENTS (FOR BOTH  TRACKS)其他要求

  • An applicant  whose native tongue or medium of undergraduate instruction is not English must  complete the TOEFL, IELTS, or Diagnostic English Test (DET)  administered by the NUS Centre for English Language Communication.

  • 母语非英语或本科教学语言非英语需通过托福、雅思或新加坡国立大学英语语言交流中心组织的DET考试

  • An applicant  with a non-mathematics background is required to take the GRE Subject Test (Mathematics).

  • 没有数学背景的申请人必须参加GRE(数学)考试

IELTS: 6

TOEFL: 85

CLOSING DATE截止日期

15 March, for consideration of admission in the August term of the current year.

3月15日,在当年的8月份入学。

15 September, for consideration of admission in the January term of the following year.

9月15日,在下一年的1月份入学。