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高等数学下

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Overview

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高等数学（下）课程是高等学校非数学专业本科各专业学生的一门必修的重要基础理论课。通过本课程的学习，要使学生获得： 

1．多元函数微积分学，

2．无穷级数

3．曲线曲面积分

等方面的基本概念、基本理论和基本运算技能，为学习后继课程和进一步获得数学知识奠定必要的数学基础。在课程的教学过程中，要通过各个教学环节逐步培养学生具有抽象思维能力、逻辑推理能力、空间想象能力和自学能力，并注意培养学生的数学建模能力和用所学理论解决简单应用问题的能力，培养学生具有比较熟练的运算能力和综合运用所学知识去分析问题和解决问题的能力。

Syllabus

第十章

10.1 sequence v1
10.2 series
10.3 integral test and comparison test
10.4 ratio and root test
10.5 alternating series
10.6 power series
10.7 Taylor and Maclaurin series
10.8 application of Taylor series

第十一章

11.1 calculus of parametric curves
11.2 polar coordinates

第十二章

12.1 concepts of vector
12.2 dot product and cross product
12.3 lines and planes

第十三章

13.1 vector functions
13.2 arc length in space
13.3 curvature

第十四章

14.1 limits and continuity
14.2 partial derivatives
14.3 chain rule
14.4 directional derivatives
14.5 tangent planes
14.6 extreme values and saddle points
14.7 lagrange multipliers
14.8 Taylor's formula for two variables

第十五章

15.1double integrals in rectangular coordinates
15.2double integrals in polar form
15.3triple integrals in rectangular coordinates
15.4triple integrals in cylindrical and spherical coordinates
15.5substitutions

第十六章

16.1line integrals I
16.2line integrals II

期末考试

数字人视频

Taught by

Southern University of Science and Technology

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