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新加坡國立大學–數學理學碩士

2021 年 3 月 11 日 河南钱币收藏

M.Sc. in Mathematics by Coursework

項目概述(學制一年)

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.

數學系的曆史可以追溯到1929年萊佛士學院首次開放。當時的科學系提供數學,化學和物理課程,有10名學生和3名教師,其中有1名數學教師。數學系的第一任主任(1931年至1959年)是亞曆山大·奧本海姆教授,他是G.H.Hardy的學生,獲得了芝加哥大學的博士學位,並因奧本海姆猜想成名。從1929年開始,新加坡教育體系發展迅速,1980年新加坡大學和南洋大學合並,成爲新加坡國立大學。在此期間,該系擴大了本科和研究項目,但規模都相對較小。

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.

隨著新加坡國立大學的成立,該系進入了一個新時代。由于合並,該系的教職工人數達到將近35人。在肯特崗的新校區,院系和部門的轉移工作于1986年完成。從那時起,其本科項目的廣度和規模,研究生項目的深度和活力,教師傑出的研究能力享譽世界。

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.

本項目旨在提供數學前沿知識的課程,使獲得數學榮譽學位或學士學位者培養和提高在高等數學/應用數學某些專業領域的技能和資格。

課程設置

MA6201 Topics in Algebra and Number Theory I

代數與數論專題1

MA6202 Topics in Algebra and Number Theory II

代數與數論專題2

MA6205 Topics in Analysis I

分析專題1

MA6206 Topics in Analysis II 

分析專題2

MA6211 Topics in Geometry and Topology I

幾何和拓撲專題1

MA6212 Topics in Geometry and Topology II
幾何和拓撲專題2

MA6215 Topics in Differential Equations

微分方程專題

MA6216 Advanced Dynamical Systems

高級動力系統

MA6217 Homotopy Theory

同倫論

MA6219 Recursion Theory
遞歸論

MA6220 Model Theory
模型論

MA6221 Topics in Combinatorics
組合數學專題

MA6222 Set Theory I
集合論1

MA6223 Set Theory II

集合論2

MA6225 Topics in Coding Theory and Cryptography
編碼理論與密碼學專題

MA6235 Topics in Financial Mathematics

金融數學專題

MA6241 Topics in Numerical Methods
數值方法專題

MA6251 Topics in Applied Mathematics I
應用數學專題1

MA6252 Topics in Applied Mathematics II
應用數學專題2

MA6253 Conic Programming

圓錐曲線編程

MA6291 Topics in Mathematics I 
數學專題1

MA6292 Topics in Mathematics II
數學專題2

MA6293 Topics in Mathematics III

數學專題3

入學要求

TRACK 1 (40MC PROGRAMME)途徑1(40學分)

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

  • 獲得數學榮譽學位或同等資格

    數學榮譽學位或同等資格,或數學榮譽學位或同等資格,或

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

  • 獲得大學相關榮譽學位,在數學方面接受過專業訓練

TRACK 2 (80MC PROGRAMME)途徑2(80學分)

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

  • 獲得三年制數學學士學位或同等資格

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

  • 獲得三年制大學相關榮譽學位,在數學方面接受過專業訓練

       

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.

  • 母語非英語或本科教學語言非英語需通過托福、雅思或新加坡國立大學英語語言交流中心組織的DET考試

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

  • 沒有數學背景的申請人必須參加GRE(數學)考試

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,在當年的8月份入學。

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

9月15日,在下一年的1月份入學。

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