Course name: Space Analytic Geometry
Course number: SMG1131302 Credit: 3
Course Description:
《Space Analytic Geometry》 is the first semester course. This course is a professional basic course for mathematics majors. Analytic geometry is also to provide the knowledge required for the subsequent courses, such as mathematical analysis, advanced algebra.
Through the learning of space analytic geometry, enable the students to master the basic knowledge of the system and the basic theory of analytic geometry, good at using the coordinate and vector as tools. Through the learning space analytic geometry can also culture the students' ability of solving problems by changing the geometric problems into algebraic equations.
Course Learning Objectives:
The objective of the course is the knowledge and the ability to gain through the learning of the course. As follows:
1. To understand the basic concepts of analytic geometry;
2. Skilled grasps the properties and the standard equations for some geometric figures,
3. Describing the figures of some common space curves and surfaces
Pre-course: Plane analytic geometry
Textbooks and References:
Textbooks: Lingen Lv,Zhidao Xu. Analytic Geometry. Higher Education Press (the fifth edition).
References:
1. Lingen Lv, Guidance for Analytic Geometry Higher Education Press.
2. Dingxun Zhu, Space Analytic Geometry. BeijingNormalUniversity Press.
Course Assessment:
Form | Weight (%) |
Attendance and homework | 20% |
Mid - term exam | 0% |
Final exam | 80% |
Course schedule:
Weeks | Teaching content | Chapter |
4-7 | Lecture 1 Vector and coordinate 1.The concept of vector 2.Linear operations of vector 3.Multiply operations of vector | Chapter 1 |
8-9 | Lecture 2Figures and equations 5. The equations of plane curves 6. The equations of curved surfaces and space curves 7.Spherical coordinates and cylindrical coordinate | Chapter 2 |
10-13 | Lecture 3Planes and space straight lines 8. Planes 9. Space straight lines 10. The positional relations between planes and straight lines 11.The measures of points、planes、straight lines | Chapter 3 |
14-17 | Lecture 4 Cylindrical surfaces、conical surfaces、surfaces of revolution and quadratic surfaces 12.Cylindrical surfaces and conical surfaces 13.Surfaces of revolution 14.Ellipsoid surfaces、hyperbolical surfaces and parabolic surfaces 15.The drawing of space figures 16.Quadratic ruled surface | Chapter 4 |
18 | Lecture 4Review | |