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¤W½Ò¤é´Á:16/7, 18/7, 21/7, 23/7, 25/7, 28/7, 30/7, 1/8, 4/8, 2014

¦Ò¸Õ¤é´Á:7/8/2014

¤W½Ò®É¶¡:9:30am-12:00nn(°ò¥»½Ò)¡A1:30p.m.-4:30p.m.(¾É­×½Ò)

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Towards Differential Geometry

Course code:SAYT1134

Date:16/7, 18/7, 21/7, 23/7, 25/7, 28/7, 30/7, 1/8, 4/8, 2014

Examination Date: 7/8/2014

Time:9:30am-12:00pm(Lecture),1:30p.m.-4:30p.m.(Tutorial session)

Venue:CRoom L1, Science Centre (SC), The Chinese University of Hong Kong

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.

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¤J¾Ç¸Õ§K¸Õ±ø´Ú Conditions for Admission Screening Test Exemption

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Applicants who satisfy either one of the following condition may be exempted from Admission Screening Test and will be directly admitted into this course. Those who had taken "Enrichment Mentoring Mathematics I or II" still need to sit the Test, but will be considered with priority.

* ´¿­×Ū¨Ã¤Î®æ§¹¦¨ ¡u½Æ¼Æªº´X¦ó­±»ª¡v
* Passed Geometric Perspectives of Complex Numbers before

* ´¿©ó¹L¥hÀò±o¥»½Òµ{¾Ç¤À¬ì¥Ø¨ú¿ý¡]¥]¬A¡u·L¤À´X¦óªì±´¡v¡N¡u¼Æ½×»P±K½X¾Ç¡v¡N¡u¼Æ¾Ç¤ÀªR¤Jªù¡v¡N¡u«D¼Ú´X¦ó½àªR¡v¡^
* Being admitted in one of the following courses(Credit-bearing)(Towards Differential Geometry, Number Theory and Cryptography, Mathematical Analysis: An Overture and Understanding Non-Euclidean Geometry) before
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