上課日期: 15/7, 16/7, 19/7, 20/7, 22/7, 23/7, 26/7, 27/7, 28/7, 2021
上課時間: 10:30am – 5:15pm
考試日期: 30/7/2021 (10:30am-1:30pm)
後備課堂日期: 21/7, 29/7, 31/7, 2021 (10:30am-5:15pm)
上課地點: [中文大學, 詳情有待公佈]*
任教導師: 劉智軒博士 (香港中文大學)
學費: 港幣 3,990元正 (已包含港幣40元申請費用)**
**如課程最終轉為線上授課，學費將會調整為港幣 3,040元正 (已包含港幣40元申請費用) 。
Towards Differential Geometry
Course code: SAYT1134
Date: 15/7, 16/7, 19/7, 20/7, 22/7, 23/7, 26/7, 27/7, 28/7, 2021
Time: 10:30am – 5:15pm
Examination Date: 30/7/2021 (10:30am-1:30pm)
Reserved Date: 21/7, 29/7, 31/7, 2021 (10:30am-5:15pm)
Venue: [CUHK. Detail to be announced]*
Lecturer: Dr. Lau Chi Hin (CUHK)
University Recognition: 2 credits of CUHK
Medium of Instruction: mainly in Cantonese with English course materials
Expected applicants: Students advancing to Secondary 5 or 6, and have good knowledge of calculus and geometry. An exposure to physics will be helpful.
Introduction: This course, combining the knowledge of calculus and geometric intuition, leads students to explore the fruitful variety of curves and surfaces beyond lines, planes, and conics. Students will use calculus up to partial differentiation to describe curves and surfaces, to calculate the tangent vector, normal vector and curvature, tangent plane, geodesic and Gaussian curvature. Other essential geometric theorems, such as Gauss-Bonnet, will be introduced.
Tuition fee: HK$3,990 (with $40 application fee included)**
*This course offers face-to-face lessons on CUHK campus. It may switch to online teaching, subject to the actual situation.
**The tuition fee will be adjusted to HK$3,040 (with $40 application fee included) if the course finally switches to online teaching.
入學試免試條款 Conditions for Admission Screening Test Exemption
Applicants who satisfy either one of the following condition may be exempted from Admission Screening Test and will be directly admitted into this course. (refer to note below)
- 曾修讀並及格完成以下任何一個科目取錄: 「複數的幾何面貌」、「複數與解析幾何」、「近世代數初探」。
Passed in any of the following courses before: Geometric Perspectives of Complex Numbers, Complex Number and Analytical Geometry, and Towards Modern Algebra.
Being admitted in one of the following courses before: Number Theory and Cryptography, Towards Differential Geometry, Mathematical Analysis, and Understanding Non-Euclidean Geometry.
Those who had taken "Enrichment Mentoring Mathematics I or II" still need to sit the Test, but will be considered with priority.