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教學大綱


本頁翻譯進度

燈號說明

審定:余祥華(簡介並寄信)
翻譯:潘浩銓(POON Ho Chuen)(簡介並寄信)
編輯:朱學(簡介並寄信)、鄔書林(簡介並寄信)


描述

此課程的對象為對解題有強烈興趣並有相當多解題經驗的學生。只有受邀請的學生才可參加;學生主要從他們的申請中選出。強烈要求學生有參與解題比賽的經驗,例如學生所在國家的數學奧林匹克。所有研討會的學生必須在十二月的第一個星期六參加William Lowell Putnam 數學比賽。 大部分(但不是全部)研討會的內容是針對準備這個比賽的。

進度和期望

研討會會在每星期有兩次各一小時的聚會(除非是學院假期)。通常每星期的第二次聚會是講課,內容是關於解數學題的一個課題。課堂會分發兩份習題:一分直接關次該次講課的課題;另一份是關於不同課題的附加習題。在下一次聚會學生必須遞交其中六條問題的書面解答。六條問題中的其中四條必須在直接關於講課的習題中選出。在每星期的第一次聚會,學生將會對當日應遞交的解答做演講。

評分

習題會被評分及歸還。這課程只有及格與不及格;任何作過合理努力的人均會合格。作業會有不同難度的問題,所以應該所有學生均可在每星期解決接近六條問題。每一位學生均需參與一些課堂活動;尤其是每一位學生必須不時就某一解答對全班作出演講。





Description

The course is intended for students with a strong interest and considerable experience in problem solving. Participation is by invitation only; most students will be selected on the basis of their applications to the seminar. Experience in problem-solving competitions is highly desirable, such as the Mathematical Olympiad from the student's native country. All students taking the seminar are required to take the William Lowell Putnam Mathematical Competition on the first Saturday in December. Much (but not all) of the seminar will be geared toward preparing for this Competition.

Schedule and Expectations

The seminar will hold two one-hour meetings each week (except for Institute holidays). In general, the second class each week will be devoted to a lecture on a topic useful for mathematical problem-solving. Two sets of problems will be passed out - a set directly related to the lectures, and a set of supplementary problems on a variety of topics. Students must hand in written solutions to six of these problems at the next class meeting. At least four of these solutions should come from the lecture-based problem set. During the first class of each week, students will present their solutions to the problems they are handing in that day.

Grading

Problem sets will be graded and returned. The class is Pass-Fail only, and anyone making a reasonable effort will pass. There will be problems at all levels of difficulty, so no student should be unable to solve close to six problems each week. Some class participation is required of every student; in particular, every student must occasionally present a solution to the rest of the class.




 
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