微分幾何初探
課程編號 :SAYT1134
上課日期 :13/7, 16/7, 18/7, 23/7, 25/7, 27/7, 30/7, 1/8, 3/8, 6/8, 2012
上課時間 :9:30am-12:00nn(基本課)，1:30p.m.-4p.m.(導修課)
任教教授 :劉智軒博士 (香港中文大學)
大學認可:中文大學2學分
對像:準備升上中五或中六的同學參加，學員須對微積分與幾何有優良的知識
內容簡介:若對物理有認識則更有幫助。本科將微積分與幾何直觀緊密結合起來，引領同學跳出直線、平面和圓錐曲線的桎梏，進入多姿多釆的曲線與曲面的天地裏。同學將運用微積分包括偏微分，來描述空間的曲線與曲面，計算曲線的切向量、法向量和曲率、曲面的切平面、測地線和高斯曲率，並進一步認識如Gauss-Bonnet 等深刻的幾何定理。
Towards Differential Geometry
Course code:SAYT1134
Date: 13/7, 16/7, 18/7, 23/7, 25/7, 27/7, 30/7, 1/8, 3/8, 6/8, 2012
Time: 9:30am-12:00nn(Lecture),1:30p.m.-4p.m.(Tutorial session)
Teacher: Dr. LAU Chi Hin(CUHK)
University Recognition: 2 credits of CUHK
Expected applicants:have good knowledge of calculus, and are advancing to Secondary 5 or 6
Introduction: An exposure to physics will be helpful. This course, combining the knowledge of calculus and geometric intuition, leads students to explore the fruitful variety of curves and surfaces beyond lines, planes, and conics. Students will use calculus up to partial differentiation to describe curves and surfaces, to calculate the tangent vector, normal vector and curvature, tangent plane, geodesic and Gaussian curvature. Other essential geometric theorems, such as Gauss-Bonnet, will be introduced.
網上報名(Online application)
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