个人介绍
高等数学G1

主讲教师:王阳

学校: 杭州电子科技大学
开课院系: 理学院
专业大类: 国际教育学院留学生
开课专业: 国际经济与贸易等
课程英文名称: Higher Mathematics G1
课程编号: A070224G
学分: 5.0
课时: 80
Calculus is a very important branch of mathematics. It is a form of mathematics applied to continuous graphs (graphs without gaps). 
Calculus has two aspects:
Differentiation (finding derivatives of functions)
Integration (finding indefinite integrals or evaluating definite integrals)

What you'll learn in this semester:
Understand, visualize and manipulate different transcendental functions, like natural or general exponential and logarithmic functions, inverse functions and inverse trigonometric functions.
Understand and discuss the convergence or divergence of  infinite series.
Understand and visualize  three dimensional coordinate system and combine the geometry and algebra together to analyse vectors.
Understand the concept of differentiation and learn how to calculate the derivatives of the functions of two or more variables.
Understand the concept of multiple integration and learn how to evaluate the double and triple integrals. 
教学效果

参考教材

Calculus (9th Edition)- Dale Varberg, Edwin Purcell and Steve Rigdon

课程评价

教学资源
课程章节 | 文件类型   | 修改时间 | 大小 | 备注
1.1 real numbers
视频
.mov
2022-09-08 139.63MB
1.2 inequalities
视频
.mov
2022-09-08 169.43MB
1.3 coordinate system
视频
.mov
2022-09-08 123.43MB
1.4 slope
视频
.mov
2022-09-08 121.22MB
1.5 line equations
视频
.mov
2022-09-08 146.44MB
1.6 graphs of equations
视频
.mov
2022-09-08 150.39MB
1.7 functions and their graphs
视频
.mp4
2022-09-08 16.37MB
1.8 operations on functions
视频
.mp4
2022-09-08 23.04MB
1.9 trigonometric functions
视频
.mp4
2022-09-08 13.52MB
1.10 chapter review
视频
.mov
2022-09-08 134.49MB
2.1 intuitive meaning of limit
附件
.mo
2022-09-08 83.57MB
2.2 one sides limit
视频
.mov
2022-09-08 158.30MB
2.3 main limit theorem
视频
.mov
2022-09-08 176.00MB
2.4 substitution limit
视频
.mov
2022-09-08 84.37MB
2.5 limits of trigonometric functions
附件
.
2022-09-08 121.32MB
2.6 limits at infinity
视频
.mov
2022-09-08 138.36MB
2.7 limits of sequences
视频
.mov
2022-09-08 91.27MB
2.8 infinite limits
视频
.mov
2022-09-08 95.55MB
2.9 continuity at a point
视频
.mov
2022-09-08 137.93MB
2.10 continuity of familiar functions
附件
.
2022-09-08 184.05MB
2.11 chapter review
视频
.mov
2022-09-08 107.69MB
3.1 The Tangent Line
视频
.mp4
2022-09-08 10.04MB
3.2 Velocity
视频
.mp4
2022-09-08 14.03MB
3.3 definition of derivative
视频
.mp4
2022-09-08 10.47MB
3.4 equivalent forms for the derivative
视频
.mp4
2022-09-08 11.69MB
3.5 increments
视频
.mp4
2022-09-08 9.38MB
3.6 rules for finding deviratives
视频
.mp4
2022-09-08 18.88MB
3.7 product rule
视频
.mp4
2022-09-08 7.62MB
3.8 quotient rule
视频
.mp4
2022-09-08 6.54MB
3.9 derivatives of trigonometric functions
附件
.
2022-09-08 129.26MB
3.10 chain rule
视频
.mov
2022-09-08 130.81MB
3.11 Higher-Order Derivatives
视频
.mp4
2022-09-08 18.25MB
4.1 max&min existence theorem
视频
.mov
2022-09-08 103.78MB
4.2 critical point theorem
视频
.mov
2022-09-08 156.04MB
4.3 what are extreme values
附件
.m
2022-09-08 176.29MB
4.4 monotonicity theorem
视频
.mov
2022-09-08 145.83MB
4.5 concavity
视频
.mov
2022-09-08 211.45MB
4.6 first derivative test
视频
.mov
2022-09-08 201.60MB
4.7 second derivative test
视频
.mov
2022-09-08 100.97MB
4.8 definition of antiderivative
附件
.
2022-09-08 98.32MB
4.9 power rule
视频
.mov
2022-09-08 60.22MB
4.10 indefinite integral is a linear operator
附件
.
2022-09-08 120.00MB
4.11 generalized power rule
视频
.mov
2022-09-08 133.72MB
5.1 introduction to area
视频
.mp4
2022-09-08 9.56MB
5.2 sigma notation
视频
.mp4
2022-09-08 19.57MB
5.3 Inscribed/Circumscribed Polygons
视频
.mp4
2022-09-08 16.22MB
5.4 Riemann sun
视频
.mp4
2022-09-08 15.11MB
5.5 definition of definite integral
附件
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2022-09-08 151.26MB
5.6 first fundamental theorem
附件
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2022-09-08 88.15MB
5.7 second fundamental theorem
附件
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2022-09-08 113.17MB
5.8 method of substitution
视频
.mov
2022-09-08 200.34MB
5.9 substitution rule for definite integral
视频
.mp4
2022-09-08 15.54MB
5.10 chapter review
视频
.mp4
2022-09-08 8.19MB
课程章节
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