Towards Modern AlgebraComplex Numbers and Analytic GeometryIntroduction to Discrete MathematicsNumbers Theory and CryptographyTowards Differential GeometryUnderstanding Non-Euclidean Geometry
Course CodeSAYT1114University Recognition2 credits of CUHKMedium of Instructionmainly in Cantonese with English course materialsExpected ApplicantsStudents who are promoting to Secondary 5 or 6, and have good knowledge of algebra.Introduction
Online ApplicationIn the first half, we will cover some basic knowledge in Number Theory, including modular arithmetic and Euler's theorem. Then, we will cover two topics in Number Theory: primality test and primitive root, which are indispensable in studying Cryptography. In the second half, we will explore some applications of Number Theory in Cryptography, including some classical systems such as Vigenere cipher and some modern systems such as DES, RSA, digital signature. We will also briefly discuss Shor's algorithm: a quantum-based algorithm and QKD: a quantum-based cryptosystem.
Conditions for Admission Screening Test ExemptionApplicants who have successfully completed any EPYMT course may be exempt from the Admission Screening Test and will be directly admitted to their chosen course(s).