## 授課老師

 【領域】 幾何分析、幾何、黎曼幾何、 微積分、偏微分方程導論 ﻿【專長】﻿ 微分幾何、幾何分析﻿

## 課程大綱

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.

【課程簡述】
Brief 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.

【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.
 ♠ Prerequisites Successful completion of Linear Algebra and Advanced Calculus

【指定用書】
Text Books
 ♠ Differential geometry of curves and surfaces, by Manfredo P. Do Carmo. Prentice Hall.

【參考書籍】
References
 ♠ Elementary Differential Geometry, 2nd edition, A. Pressley, Springer, 2010. ♠ Elementary Differential Geometry, 2nd Edition, by Barrett O'Nell.

【教學方式】
Teaching Method
 ♠ Lectures. 講授，演習，討論. www.math.nthu.edu.tw/~cjsung/course/ug2018s.html

【 2023/3/ 20- 5/5 Calendar】期中教學意見反映週(至5月5日止)Mid-term Feedback on Teaching (3/20-5/5)   ♠   【 2023/4/7- 5/19 Calendar】期中成績預警開始(至5月19日止)Academic Warning System Starts Sending out Alert (4/7-5/19)   ♠   【 2023/4/22 Calendar】校慶環校路跑Cross Country Long Distance Running   ♠   【2023/6/30 Calendar】教師送繳非應屆畢業生111學年度第2學期成績截止Deadline for 2023 Spring Semester Grade Submission   ♠   【2023/4/23 Calendar】校慶活動日University Foundation Anniversary Celebration   ♠   【2023/7/3 Calendar】112學年度暑碩專班上課開始、註冊日、休退學及畢業生免繳學雜費截止2023 Summer In-service Master Program Begins, Registration   ♠   【2023/7/3 Calendar】暑期班選課及繳費開始(至7日止)Course Selection and Fee Paying Begins for Summer Session (7/3-7/7)   ♠   【2023/4/29 Calendar】校慶日University Foundation Day   ♠   【2023/7/31 Calendar】111學年度第2學期研究生論文口試結束Thesis Defense Ends   ♠   【2023/7/31 Calendar】111學年度第2學期結束2023 Spring Semester Ends   ♠   【 2023/1/16 Calendar】寒假開始Winter Break Begins!   ♠   【2023/8/1 Calendar】112學年度第1學期開始2023 Fall Semester Begins   ♠   【2023/8/14 Calendar】新生申請112學年度第1學期學雜費減免(至25日止)   ♠   【2023/8/21 Calendar】112學年度入學各級新生、轉學生選課(至24日止)Course Selection for New Students/Transfer Students in Fall 2023 (8/21-8/24)   ♠   【2023/6/31 Calendar】教師升等資料、教師進修及休假研究申請案送人事室截止Deadline for Submission of Faculty Promotion Application and Sabbatical Leave Application   ♠   【 2023/6/10 Calendar】畢業典禮Commencement   ♠   【2023/8/21 Calendar】112學年度入學各級新生、轉學生選課(至24日止)Course Selection for New Students/Transfer Students in Fall 2023 (8/21-8/24)   ♠   【 2023/6 /12 - 6/16 Calendar】期末考開始   ♠   【2023/8/29 Calendar】112學年度第1學期第3次選課開始(至31日止)3rd Course Selection Period (8/29-8/31)   ♠   【 2023/6/15 - 6/19 Calendar】112學年度第1學期第2次選課開始(至19日止)2nd Course Selection Period for 2023 Fall Semester (6/15-6/19)   ♠   【2023/9/4-9/6 Calendar】新生領航營(至6日止)   ♠   【 2023/6/19 Calendar】暑假開始Summer Vacation Begins   ♠   【2023/2023/9/11 Calendar】全校各級學生上課開始、註冊日Class Begin, Registration!受理軍公教遺族就學減免申請(至15日止)!弱勢助學金申請(至10月6日止)!   ♠   【 2023/6/22- 6/23 Calendar】端午節Dragon Boat Festival   ♠   【2023/9/29 Calendar】中秋節Mid-Autumn Festival (no class)   ♠   【2023/10/9 Calendar】國慶日彈性放假，課程由教師自行擇期補課Holiday-Double Tenth Day (no class: make-up classes will be scheduled)   ♠   【 2023/6/30 Calendar】教師送繳非應屆畢業生111學年度第2學期成績截止Deadline for 2023 Spring Semester Grade Submission   ♠   【2023/10/9-12/3 Calendar】期中教學意見反映(至12月3日止) Mid-term Feedback on Teaching (10/9-12/3)   ♠   【2023/10/10 Calendar】國慶日Double Tenth Day (no class)   ♠   【2023/10/30 Calendar】112學年度第1學期申請課程停修開始(至11月24日止)Course Withdrawal Begins (10/30-11/24)   ♠   【2023/11/15 Calendar】校務會議University Council Meeting   ♠   【2023/12/8 Calendar】教學意見調查開始(至113年1月7日止)Online Course Evaluation (12/8-1/7)   ♠   【2024/1/1 Calendar】開國紀念日New Year's Day (no class)   ♠   【2024/1/8 Calendar】期末考試開始(至12日止，彈性學期週數16或17週課程依公告之課程大綱辦理)Final Exams (1/8-1/12)   ♠   【2024/1/15 Calendar】寒假開始Winter Break Begins!   ♠   【2024/2/8 Calendar】春節彈性放假Holiday-Chinese New Year   ♠   【2024/2/9 Calendar】除夕Chinese New Year’s Eve   ♠   【2024/2/10-2/14 Calendar】春節及春節彈性放假(至14日止)Chinese New Year   ♠   【2024/2/19 Calendar】全校各級學生上課開始、註冊日Classes Begin, Registration   ♠   【2024/2/28 Calendar】和平紀念日228 Peace Memorial Day (No Class)   ♠   【2024/3/1-3/3 Calendar】梅竹賽(1日至3日，1日下午停課，由教師自行擇期補課；若停賽則正常上課)(暫訂) [Tentative] Mei-Chu Game (3/1-3/3)   ♠