一、課程說明(Course Description)
This is an introductory course on the theory of curves and surfaces in the three dimensional
Euclidean space. After developing the theory of curves, we will study the geometry of a
surface from both intrinsic and extrinsic point of view. Topics include first and second
fundamental forms, various notions of curvature,
and the famous Gauss-Bonnet theorem.

二、指定用書(Text Books)
* Differential geometry of curves and surfaces, by Manfredo P. Do Carmo.
Prentice Hall.

三、參考書籍(References)
* Elementary Differential Geometry, 2nd edition, A. Pressley, Springer, 2010.
* Elementary Differential Geometry, 2nd Edition, by Barrett O'Nell.

四、教學方式(Teaching Method)
Lectures. 講授,演習,討論.
習題課時間 :Wed. (7-9pm) 教室 (綜三館201)

五 、 成績考核(Evaluation)
25% quizzes and homework+ 35% midterm (to be scheduled)+ 40%final (to be scheduled).

六、可連結之網頁位址
http://www.math.nthu.edu.tw