Course Calender

Course Calender

SAYT1114 Number Theory and Cryptography (Enrichment Programme for Young Mathematics Talents) 數學英才精進計劃──數論與密碼學

Key facts for Summer 2018:

Lecturer: Dr. CHENG Man Chuen
Date :6, 9, 10, 13, 14, 16, 17, 20, 21 August 2018
Examination Date :23 August 2018
Time :To be announced
Tuition fee :To be announced

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We will proceed from basic to deeper knowledge about Number Theory, including Divisibility Theory, Euclidean Algorithm, Congruence Equation, Chinese Remainder Theorem, Euler’s Theorem, Fermat’s Little Theorem and Continued Fractions.

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 properties of integers and primes and calculate under congruence;
  2. State, prove, and deduce basic results of integers and primes;
  3. Appreciate the theoretical development of number theory and its applications to human society.
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:   Students who have high competence in abstract mathematical reasoning, and are promoting to Secondary 4 or Secondary 5
Organising period:   Every summer
Application method:   SAYT Online application
Official website:   http://epymt.math.cuhk.edu.hk/index.html