課程資訊
課程名稱
幾何學導論
Introduction to Geometry 
開課學期
110-1 
授課對象
理學院  數學系  
授課教師
翁秉仁 
課號
MATH5356 
課程識別碼
221 U6580 
班次
 
學分
4.0 
全/半年
半年 
必/選修
必帶 
上課時間
星期三3,4(10:20~12:10)星期五3,4(10:20~12:10) 
上課地點
普503普503 
備註
此課程研究生選修不算學分。
限學士班學生
總人數上限:70人
外系人數限制:30人 
Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1101MATH5356_IoG 
課程簡介影片
 
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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課程概述

We are going to apply basic calculus and linear algebra concepts to study the surfaces inside 3 dimensional space. This gives fruitful and essential results which form the basis of modern differential geometry, which, in turns, provide the framework of general relativity and quantum field theory.

The course would concentrate on the local concept of "curvature", global concept of "surface", and the interplay between them. We shall conduct a course from the local behavior of a surface to the global property of it. 

課程目標
1. Curvature of Curves as a preliminary case study.
2. Curvature of Surfaces.
3. Intrinsic Curvature.
4. Curvature and Global Property of Surfaces 
課程要求
Calculus; Linear Algebra; Inverse (also Implicit) function theorem; Experience in solving ODE. 
預期每週課後學習時數
 
Office Hours
 
參考書目
B. O'Neill, Elementary Differential Geometry, 2006
J. Oprea, Differential Geometry and its Applications, 2nd edition, 2007. 
指定閱讀
M.P. do Carmo, Differential geometry of curves and surfaces, 1976.
 
評量方式
(僅供參考)
 
No.
項目
百分比
說明
1. 
習題 
40% 
含習題課 
2. 
期中考 
30% 
 
3. 
期末考 
30% 
 
 
課程進度
週次
日期
單元主題