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Course Calender

SAYT1154 Mathematical Analysis: an overture (Enrichment Programme for Young Mathematics Talents) 數學英才精進計劃──數學分析入門

This course introduces a rigorous approach to the subject for students who have proficiency of doing calculus. Its aim is two-fold. On the one hand, students will be prepared for the foundation of mathematical analysis. On the other hand, students will consolidate the methods and techniques of calculus due to a deeper understanding of the underlying theory.

本科為已熟練微積分演算的學生,提供一個嚴謹的推演途徑。藉著本科,學生一方面能建立數學分析的基礎,做好準備與前瞻。另一方面,學生能因著認識更深入的理論,鞏固微積分各種方法和技巧。

 

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 rational numbers and recognize real numbers;
  2. State and give examples of the fundamental properties of real numbers;
  3. Define and determine the limit of a sequence;
  4. State topological properties of the real numbers including those of functions;
  5. Appreciate the rigor of the development of real numbers.
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:   S6 students
Organising period:   February to June 2012
Application method:   Submit application to Hong Kong Academy for Gifted Education