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SAYT1034 Complex Numbers and Analytic Geometry (EPYMT) 數學英才精進計劃 ── 複數與解析幾何

Key facts for Summer 2018:

Lecturer: Dr. CHAN Kai Leung
Date : 16, 17, 19, 20, 23, 24, 26, 27, 30 July 2018
Examination Date : 2 August 2018
Time :To be announced
Tuition fee :To be announced

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This course introduces operations and properties of complex numbers and functions, manipulation of geometric objects and transformations. It aims at broadening and deepening students’ perspectives towards advanced mathematics through understanding the cross-influences of the complex algebra and analytic geometry. It also lays a foundation for studying advanced mathematics such as non-Euclidean geometry and complex analysis.

此課程將介紹複數的運算和性質、複函數以及幾何物件和變換,旨在探究複代數和解析幾何之間的微妙關係,深化和擴闊學生對數學的了解,同時亦為學習非歐幾何和複分析等高等數學奠下基礎。

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. Understand basic operations and properties of complex numbers;
  2. Understand basic knowledge of analytic geometry;
  3. Solve geometric problems by using complex numbers;
  4. Appreciate the interaction between algebra and geometry through complex numbers.
Learning Activities:
  1. Lecture
  2. Exercise and assignment
Medium of Instruction:   Cantonese supplemented with English
Assessment:   Essay test or exam
Recognition:   No. of University unit(s) awarded: 1
* A certificate will be awarded to student who fulfilled the course requirements.
 
Expected applicants:   Students who have high competence in abstract mathematical reasoning, and are promoting to Secondary 4 or Secondary 5
Organising period:   Summer 2018
Application method:   SAYT Online application
Official website:   http://epymt.math.cuhk.edu.hk/index.html