丘成桐大学生数学竞赛

RULES

1 The competition is open only to regularly enrolled undergraduates, in colleges and universities of mainland China, Hong Kong and Taiwan, who have not yet received a college degree.
2 A college or university with at least four registered entrants obtains a team rank.One team consists of four individual contestants. One university or college can have at most two teams. There is no limitation on the number of individual contests.There will be contests for teams and for individuals separately.
3 In the first morning there will be the team contest. In the team contest, team members shall discuss to divide problems among themselves in the first half hour. Then each team member works independently on the problems in the remaining two and half hours.
4 There will be individual contest in the remaining one and half days. Contest for each subject shall be last for two and half hours.
5 No collaboration or outside assistance is permitted during the examination for individual contests and for team contests.

DESCRIPTION

The examination will be constructed to test originality as well as technical competence. There will be 4 subjects:
Analysis and Differential Equations
Geometry and Topology
Algebra, Number Theory, Representation theory and Combinatorics
Applied Math, Computational Math. and Probability and Statistics

Detailed syllubuses for each of the directions above shall be provided by the Scientific and Questions committee. There will be five problems in each subject for competition, and each student chose three out of four fields for competition.

SCHEDULE
The first examination will be held on Oct 12 & Oct.13,2010 . The top 15 winners have to take the oral exams on December 14.

EXAM LOCATIONS
Students may take exams at major universities in Hong Kong, Taiwan and mainland China.

REFERENCES

Syllabuses for Geometry and Topology

Syllabuses on Algebra, Number Theory and Combinatorics

Syllabuses on Analysis and Differential Equations

Syllabuses on AppliedMathematics，Computational Mathematics，Probability and Statistics

Qualify exams from US universities

Harvard: http://www.math.harvard.edu/graduate/index.html#qualifying

Berkeley: http://math.berkeley.edu/~desouza/pb.html

Stanford: http://math.stanford.edu/quals/oldquals.htm

Univ. of Michigan: http://www.math.lsa.umich.edu/graduate/qualifiers/exams/06/QRtopologySept06.pdf

Columbia: http://www.math.columbia.edu/department/qualifiers/

UCLA: http://www.math.ucla.edu/grad/handbook/hbquals.shtml

John Hopkins University: http://www.mathematics.jhu.edu/new/exams/syllabus_exams.htm

Putnam examination: http://www.math.niu.edu/~rusin/problems-math/