Course Calender

Course Calender

SAYT1214 Understanding Non-Euclidean Geometry (Enrichment Programme for Young Mathematics Talents) 數學英才精進計劃──非歐幾何賞析

Key facts for Summer 2017:
Date :4, 7, 10, 11, 14, 15, 17, 18, 21 August 2017
Examination Date :25 August 2017
Time :9:30am-12:30pm; 1:30pm-4:15pm
Tuition fee :HKD3,750.00

Go to official website

* This date is reserved for make-up class in case there is any cancellation of classes due to bad weather or other unexpected factors.

Starting with special geometric structures of complex plane, students will learn symmetry and conformality on complex transformations; the intriguing correspondence between the complex plane and a sphere; and Mobiüs transformation. Then students would be introduced to a number of amazing properties of Non-Euclidean Geometry from a modern point of view, including hyper-parallelism, non-Euclidean distance, constant curvature, and hyperbolic trigonometry.



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. Recognize the actions under Mobius transformations and the interpretation of cross-ratios;
  2. State, prove, and deduce basic geometric properties of the hyperbolic plane by complex numbers;
  3. Appreciate the theoretical construction of complex geometry and its impact on mathematics and sciences.
Learning Activities:
  1. Lecture
  2. Exercise and assignment
  3. Lab
  4. Web-based teaching
Medium of Instruction:   English and Chinese
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:   Senior form students who have distinguished mathematical performance or have taken any previous EPYMT course 
Organising period:   Every summer
Application method:   SAYT Online application
Official website: