Course Calender

Course Calender

SAYT1134 Towards Differential Geometry (Enrichment Programme for Young Mathematics Talents) 數學英才精進計劃──微分幾何初探

Key facts for Summer 2018:

Lecturer: Dr. LAU Chi Hin
Date : 3, 6, 9, 10, 13, 14, 16, 17, 20 August 2018
Examination Date : 23 August 2018
Time : To be announced
Tuition fee : To be announced

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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.


Organising units:   Department of Mathematics, CUHK
Category:   Category I – University Credit-Bearing
Learning outcomes:   Upon completion of this course, students should be able to:
  1. Define usual geometric objects from a differentiable perspective;
  2. Calculate basic geometric quantities with multivariable calculus;
  3. Appreciate the theoretical construction of geometry and its impact on mathematics and sciences.
Learning Activities:
  1. Lecture
  2. Exercise and assignment
Medium of Instruction:   Cantonese supplemented with English
Assessment:   Selected response test or exam
Recognition:   No. of University unit(s) awarded: 2
* A certificate will be awarded to student who fulfilled the course requirements.
Expected applicants:   Students who have good knowledge of calculus, and are promoting to Secondary 5 or Secondary 6
Organising period:   Every summer
Application method:   SAYT Online application
Official website: