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 2018:

Lecturer: Prof. WAN Yau Heng Tom
Date : 6, 9, 10, 13, 14, 16, 17, 20, 21 August 2018
Examination Date :24 August 2018
Time : To be announced
Tuition fee : To be announced

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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
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:   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: