課程名稱 |
數學面面觀 General mathematics |
開課學期 |
104-1 |
授課對象 |
理學院 數學研究所 |
授課教師 |
夏俊雄 |
課號 |
MATH5003 |
課程識別碼 |
221 U6600 |
班次 |
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學分 |
2 |
全/半年 |
半年 |
必/選修 |
選修 |
上課時間 |
星期四3,4(10:20~12:10) |
上課地點 |
天數102 |
備註 |
總人數上限:60人 |
Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1041MATH5003_ |
課程簡介影片 |
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核心能力關聯 |
本課程尚未建立核心能力關連 |
課程大綱
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為確保您我的權利,請尊重智慧財產權及不得非法影印
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課程概述 |
We shall explore several fields in mathematics and sciences. We do not attempt go through all the little tiny details. But we shall try to give enough self-contained references so that the interested students can make up by themselves. From time to time, we also invite speakers from different disciplines to give lectures.In this course, we also require students to give presentations in class. In doing this, the students gets more involved in the material. Some of the selected topics are preparations for a big exhibition of mathematics which is supposed to take place from the coming December and will last for several months. We hope after training in this class some of the students can help to explain mathematics to general audience in the fore mentioned exhibition. |
課程目標 |
This course aim at giving students who are interested in exploring interesting topics in different mathematical/scientific research fields and their applications. For examples, we may go through some of the following topics:
1. Inequalities and its applications
2. density lemmas (approximation of functions by functions of better regularity) and applications,
3. law of great numbers, central limit theorem,
4. drawer principle and its applications,
5. scientific models ( ODE and PDE models)
6. time periodic solutions to nonlinear ODEs
7. isoperimetric problems
8. least action principle and its physics applications
9. Dirichlet’s theorem on primes in arithmetic progressions
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課程要求 |
1. in-class presentation
2. homework
3. final report |
預期每週課後學習時數 |
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Office Hours |
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指定閱讀 |
to be updated from time to time |
參考書目 |
to be updated from time to time |
評量方式 (僅供參考) |
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