Key facts for Summer 2017:
Date :14, 17, 18, 20, 21, 24, 27, 28, 31 July 2017
Examination Date :3 August 2017
Time :9:30am-12:00pm; 1:00pm-4:15pm
Tuition fee :HKD3,750.00

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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.

本科將微積分與幾何直觀緊密結合起來，引領同學跳出直線、平面和圓錐曲線的桎梏，進入多姿多釆的曲線與曲面的天地。同學會運用微積分，包括偏微分來描述空間的曲線與曲面，計算曲線的切向量、法向量與曲率、曲面的切平面、測地線與高斯曲率，並進一步認識如高斯-博內定理等重要的幾何定理。