2023年PUMaC普林斯頓大學數學競賽賽事安排

【全年學術規劃資源貼】PUMaC普林斯頓大學數學競賽

01、競賽簡介

About PUMaC

PUMaC是由普林斯頓大學數學俱樂(le) 部組織舉(ju) 辦的年度數學競賽，創辦於(yu) 2006。

PUMaC有兩(liang) 種不同的比賽（所有參賽隊伍隻能選擇報名其中一項比賽）：

第一種是Power Competition，學生將僅(jin) 參與(yu) 動力賽部分，線上進行；
第二種是Main Competition，在普林斯頓大學校園舉(ju) 行，比賽內(nei) 容包含動力賽，個(ge) 人賽，和團隊賽。除了比賽，學生還可以選擇參加各式各樣的小型活動。完成個(ge) 人賽的記分後，高分者將被邀請參加個(ge) 人決(jue) 賽的考試。團隊將繼續在激烈的現場比賽中競爭(zheng) 。比賽結束後，舉(ju) 辦方將舉(ju) 行頒獎儀(yi) 式，以表彰和祝賀比賽中的最佳團隊和個(ge) 人。

The Princeton University Mathematics Competition (PUMaC) is an annual competition run by the Princeton University Math Club, and founded in 2006.

PUMaC has two distinct competitions (Teams should register for at most one of the two Competitions):

The Power Competition → teams only take the Power Round, which will be held online
The Main Competition → held on the Princeton University campus, which consists of Power Round, Individual Tests, and Team Test. In addition to the competition, students have the option of participating in various scheduled Mini-Events. High-scoring individuals will be invited to take the Individual Finals exam once we finish scoring the individual rounds. Teams will also compete against each other in the fast-paced Live Round, and the day will conclude with an awards ceremony acknowledging and congratulating the best teams and individuals in the competition.

02、競賽流程

Competition Rules

動力賽：比賽內(nei) 容是一個(ge) 以證明題為(wei) 主的測試，需要學生運用創造性思維來解決(jue) 問題，可能需要一兩(liang) 個(ge) 小時以上的時間，沒有考試時間限製。參賽隊伍可以合作完成這項測試。題目將於(yu) 3月23日發布，參賽者需要於(yu) 3月30日前提交答案。
個(ge) 人賽：每個(ge) 參加PUMaC的學生將從(cong) 四種測試(Algebra, Combinatorics, Geometry, and Number Theory)中選擇兩(liang) 種作為(wei) 個(ge) 人賽。個(ge) 人賽共有8道題，考試時間為(wei) 60分鍾。
團隊賽：每個(ge) 團隊將得到一套指示和問題，團隊必須在規定的時間內(nei) 盡力完成作答，鼓勵團隊合作解決(jue) 問題。本輪考試不以證明題為(wei) 主。考試時長約為(wei) 30分鍾。
個(ge) 人決(jue) 賽：每項個(ge) 人賽的得分前10名，將被邀請參加個(ge) 人決(jue) 賽考試。這是以證明題為(wei) 主的考試。考試時長約為(wei) 90分鍾。將有三個(ge) 問題，難度依次遞增。不同組別的參賽者將收到不同的試題集。參賽者不允許在這部分比賽中進行合作。
Power Round: a way for PUMaC to expose a team to what proof-based mathematics is about – questions that may take more than an hour or two and require creative thinking to solve. The eight students comprising a single team may collaborate on this test. There is no time limit. The questions will be released on March 23 and participants need to submit their answers by March 30.
Individual Tests: Each participant of PUMaC will take two Individual Tests from a choice of four: Algebra, Combinatorics, Geometry, and Number Theory. The Individual Tests will have eight problems in the subject areas chosen by the participants. Each Individual Test is 60 minutes.
Team Test: Each team will be given a set of instructions and problems, and they must do their best to finish the exam within the time limit given, collaboration is allowed (and encouraged). This round is not proof-based. Team Tests have a time limit of approximately 30 minutes
Individual Finals: The top 10 individuals in each test, in each division, will be invited to take the Individual Finals exam. This competition is proof-based. The Individual Finals exam has a time limit of 90 minutes. There will be three questions, intended to be in increasing order of difficulty. Participants in different divisions will receive different sets of questions. Participants are NOT allowed to collaborate on this part of the competition.

03、競賽時間和地點

Contest Date and Location

動力賽Power Competition題目將於(yu) 2023年3月23日線上發布，參賽者需要在3月30日前提交答案
主賽Main Competition將於(yu) 2023年4月1日在位於(yu) 美國新澤西州的普林斯頓大學舉(ju) 行
The Power Competition questions will be released online on March 23, 2023, and participants must submit answers by March 30.
The Main Competition will occur in-person on April 1, 2023 at Princeton University in New Jersey, USA.

04、競賽資格

Eligibility

參賽隊伍由8名學生組成；
個(ge) 人參賽者也接受報名，但僅(jin) 限於(yu) 參加主競賽(Main Competition)；
申請者必須在參賽時未滿20歲周歲；
申請者年級不得高於(yu) 12年級(An Individual must not have been enrolled full-time in a post-secondary institution before the PUMaC competition date.)；
一般來說，學生需要來自同一高中或同一地區，最終是否有參賽資格，由組委會(hui) 決(jue) 定；
競賽注冊(ce) 時，隊伍可以選擇參加A組或B組組別。A組別較為(wei) 適合有經驗的選手，B組別較為(wei) 適合新手。A組別的選手的個(ge) 人賽部分難度會(hui) 更高，但動力賽、團隊賽等其他賽事部分難度一致。A組和B組的獎項將分開頒發。如果一支隊伍中的學生並非來自於(yu) 同一學校，隻能參加A組別的賽事。
A full team will consist of 8 members.
Individual applicants are also accepted, but only for the Main Competition.
A team member must not have reached his or her 20th birthday before the PUMaC competition date.
A team member must not have been enrolled full-time in a post-secondary institution before the PUMaC competition date.
Generally, teams should come from single high schools, but teams from well-defined geographical regions (comprising members from several schools) coming from a long distance will be allowed for their own convenience. The committee will have the final word on the legitimacy of teams that do not come from an individual school.
When registering, teams may indicate a preference between the A Division and the B Division. The A Division is designed for the more experienced teams, and the B Division is recommended for teams newer to competitions. Teams competing in the A Division will receive more challenging individual tests. The Power Round, Team Round, and Live Round will be identical for both divisions. Awards for the two divisions will be separately calculated. Teams that do not come from a single high school must compete in the A Division.