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CUSA1014 Geometric Perspectives of Complex Numbers (Enrichment Programme for Young Mathematics Talents) 數學英才精進計劃──複數的幾何面貌

Key facts for Summer 2017:
Date :14, 17, 18, 20, 21, 24, 25, 27, 28 July 2017
Examination Date :3 August 2017
Time :9:30am-12:00pm; 1:00pm-4:15pm
Tuition fee :HKD3,750.00

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Students can learn the operations and properties of complex numbers and how to use complex numbers on geometry topics taught in secondary school. Also, students can learn how to interpret basic geometric transformations by applying complex calculations. This course aims at broadening and deepening students’ perspectives towards advanced mathematics through understanding the cross-influences of the complex algebra and geometric concepts. This course naturally leads to further geometric concepts, and so is regarded as a pre-requisite of “Understanding Non-Euclidean Geometry”.



Organising units:   Department of Mathematics, CUHK
Category:   Category II – Academy Credit-Bearing
Learning outcomes:   Upon completion of this course, students should be able to:
  1. Define complex numbers and their algebraic operations;
  2. Recognize the geometric implication of complex numbers;
  3. Use complex number to enrich the arguments and proofs of Euclidean geometry;
  4. Appreciate the interplay between algebraic operations and geometry through complex numbers and the impact on mathematics and sciences
Learning Activities:
  1. Lecture
  2. Exercise and assignment
  3. Lab
  4. Web-based teaching
Medium of Instruction:   English
Assessment:   Selected response test or exam
Recognition:   No. of Academy unit(s):  1
(University Recognition: Admission consideration)
Expected applicants:   Students who have a good foundation in mathematics and science, and are promoting to Secondary 4
Organising period:   Every summer
Application method:   SAYT Online application
Official website: