SYLLABUS FOR GEOMETRY

TEXT BOOK:
*Geometry of curves and surfaces, by Manfredo P. Do Carmo. Prentice Hall, 1976.
• A list of errata for the book(1976), compiled by Bjorn Poonen, can be found here.
References:
*Elementary Differential Geometry, 2nd edition, A. Pressley, Springer, 2010.
*Elementary Differential Geometry, 2nd Edition, by Barrett O'Nell.

INSTRUCTOR: C.J. Anna Sung
CLASSROOM:Math. Building room 115
TA(Teaching Assistant):Feng-Chih Dai email:blat1324@yahoo.com.tw (Office:209 in Math.Building, Tel:ext 33070)
OFFICE: Math. Building 525 ; Tel: ext 62308;
OFFICE HOURS:Wed. 11:30-12:10
LECTURES: Wed.3-4(10:10-11:25) Thu.7-8(15:30-16:45)

Syllabus: http://www.math.nthu.edu.tw/~cjsung/course/ug2018s.html
Homework: http://www.math.nthu.edu.tw/~cjsung/course/hwug2018s.html

CONTENTS:
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.
a. Geometry of the Guass map; Gaussian, mean and principal curvature
b. Geodesics
c. Gauss Theorem
d. Minimal surfaces
e. Gauss-Bonnet theorem.
f. Global Differential Geometry

REMARKS:
(1) Course score = 25\% of quizzes + 35\% first exam+ 40\% second exam.
(2) Bring your photo ID(Student ID) to first and second exam.
(3) No late homework and No make-up exam.
(4) Quiz will take place every two weeks.
(5) Each exam is closed-book and closed-notes.
(6) Calculators are 'not' allowed.