數論與密碼學
課程編號: SAYT1114
上課日期: 1/8, 3/8, 5/8, 8/8, 10/8, 12/8, 15/8, 17/8, 19/8, 2016
考試日期: 24/8/2016
上課時間: 9:30am-12:00nn(基本課)， 1:00pm-4:15pm(導修課)
上課地點: 利黃瑤璧樓LT3(基本課)，導修課地點會另行通知
任教導師: 李俊捷博士 (香港中文大學)
大學認可: 中文大學2學分
對象: 準備升上中四或中五的同學，學員須具備良好的抽象數學推理能力。
內容簡介:
同學會由淺入深學習數論的知識，包括：整數的整除性、歐幾里得演算法、同餘式、中國剩餘定理、數論函數、歐拉定理、費馬小定理和連分數理論等。
Number Theory and Cryptography
Course code: SAYT1114
Date: 1/8, 3/8, 5/8, 8/8, 10/8, 12/8, 15/8, 17/8,
19/8, 2016
Examination Date: 24/8/2016
Time: 9:30am-12:00nn(Lecture), 1:00pm-4:15pm(Tutorial session)
Venue: LT3,
Esther Lee Building(Lecture), further notifications for tutorial classrooms
Lecturer: Dr. Li Chun Che Charles (CUHK)
University Recognition: 2 credits of CUHK
Expected applicants: Students advancing to
Secondary 4 or 5, and have high competence in abstract mathematical reasoning.
Introduction: 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.
網上報名(Online application)
入學試免試條款 Conditions for Admission Screening Test Exemption
凡符合以下其中一項條款的申請人，可免除入學試而獲本科直接取錄。曾修讀「數學啟導修習I或II」的學生，仍須參加入學試，但可獲優先考慮。
Applicants who satisfy either one of the following condition may be exempted from Admission Screening Test and will be directly admitted into this course. Those who had taken "Enrichment Mentoring Mathematics I or II" still need to sit the Test, but will be considered with priority.
* 曾修讀並及格完成 「複數的幾何面貌」。
* Passed Geometric Perspectives of Complex Numbers before.
* 曾獲得以下任何一個學分科目取錄:「數論與密碼學」、「微分幾何初探」、「數學分析入門」、「非歐幾何賞析」。
* Being admitted in one of the following credit-bearing courses before: Number Theory and Cryptography, Towards Differential Geometry, Mathematical Analysis,
and Understanding Non-Euclidean Geometry.
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