spContent=This course consists of three chapters, including vectors and the geometry of space, partial derivatives and multiple integrals. We try to assure that the content is easy to understand. We focus on introducing basic ideas and methods. For each point, we arrange exercises for the readers to consolidate their knowledge and exercise how to think and solve problems. Besides, before studying this course, you need to understand the calculus of one variable.
This course consists of three chapters, including vectors and the geometry of space, partial derivatives and multiple integrals. We try to assure that the content is easy to understand. We focus on introducing basic ideas and methods. For each point, we arrange exercises for the readers to consolidate their knowledge and exercise how to think and solve problems. Besides, before studying this course, you need to understand the calculus of one variable.
—— 课程团队
课程概述
This course consists of three chapters, including vectors and the geometry of space, partial derivatives and multiple integrals. It mainly introduce the calculus of multivariable function, so before studing this course, you need to understand the calculus of one variable. We try to assure that the content is easy to understand and we focus on introducing basic ideas and methods. For each point, we arrange exercises for the readers to consolidate their knowledge and exercise how to think and solve problems.
成绩 要求
You need to get 60 scores to pass this course
课程大纲
Vectors and the Geometry of space
课时目标：1. Understand three dimensional coordinate system, the concept and representation of vector;2、Master the operation of vector, and the dot product and cross-product;3. Master the equations of lines and palnes in space4、Know the cylinder and Quatric surfaces.
You need to use 12 class times to finish this chapter
Partial Derivatives
课时目标：1.Understand the concept of multivariate function2.Understand the concept of partial derivative, and find out partial derivative3.Master the derivation rule of compound function expertly, and master the method of finding out second order partial derivative; to understand the direction of the derivative and gradient4. Master the tangent and law plane of curve, the tangent plane and normal of the surface5. Understand the concept of the extremum of multivariate function, and can find out the extremum of multivariate function, solve some simple maximum and minimum applications6. Understand the concept of the conditional extreme value, find out the conditional extremum using the Lagrangian multiplier method
You need to use 20 class times to finish this chapter
Multiple Integrals
课时目标：1、 Understand the concept of the double integral and triple integral, know the character of the double integral and triple integral; To master the calculation method of double integral expertly;2、 Master the calculation method of triple integral;3、 Resolve geometric and physical problems using the double integral and triple integral。
You need to use 16 class times to finish this chapter
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