Geometry and its exercise class of School of Mathematical Sciences, PKU (As part of all undergraduate students of our department and Yuanpei experimental class of undergraduates) open the first door of the geometry curriculum. It is one of the most important basic courses in our department. Important task of the course is to charge with the cultivation of students` geometric thinking and to enhance the quality of students` geometry. This lesson mainly introduces the theory of analytic geometry of space and the basic idea of geometry properly, such as geometric in-variants, relations between groups and geometry. Curves in the space, the geometric properties of surfaces and in-variants are discussed in algebraic methods such that graphics and equations linked. Topics include vector algebra, plane and a straight line, the common surface, coordinate transformation, simplification of the quadratic equation and its properties, orthogonal transformation and affine transformation, projectile plane and projectile transformations. Therefore, the lesson is not only the extension and expansion of plane analytic geometry knowledge, but also lays a solid foundation for student diversity in undergraduate calculus, physics and other courses.
Mathematics
数学源自于古希腊语，是研究数量、结构、变化以及空间模型等概念的一门学科。透过抽象化和逻辑推理的使用，由计数、计算、量度和对物体形状及运动的观察中产生。数学的基本要素是：逻辑和直观、分析和推理、共性和个性。
