chap.0 Preliminaries
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.
课程章节 | | 文件类型 | | 修改时间 | | 大小 | | 备注 | |
1.1 real numbers |
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2022-09-08 | 139.63MB | ||
1.2 inequalities |
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2022-09-08 | 169.43MB | ||
1.3 coordinate system |
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2022-09-08 | 123.43MB | ||
1.4 slope |
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2022-09-08 | 121.22MB | ||
1.5 line equations |
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2022-09-08 | 146.44MB | ||
1.6 graphs of equations |
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2022-09-08 | 150.39MB | ||
1.7 functions and their graphs |
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2022-09-08 | 16.37MB | ||
1.8 operations on functions |
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2022-09-08 | 23.04MB | ||
1.9 trigonometric functions |
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2022-09-08 | 13.52MB | ||
1.10 chapter review |
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2022-09-08 | 134.49MB | ||
2.1 intuitive meaning of limit |
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2022-09-08 | 83.57MB | ||
2.2 one sides limit |
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2022-09-08 | 158.30MB | ||
2.3 main limit theorem |
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2022-09-08 | 176.00MB | ||
2.4 substitution limit |
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2022-09-08 | 84.37MB | ||
2.5 limits of trigonometric functions |
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2022-09-08 | 121.32MB | ||
2.6 limits at infinity |
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2022-09-08 | 138.36MB | ||
2.7 limits of sequences |
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2022-09-08 | 91.27MB | ||
2.8 infinite limits |
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2022-09-08 | 95.55MB | ||
2.9 continuity at a point |
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2022-09-08 | 137.93MB | ||
2.10 continuity of familiar functions |
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2022-09-08 | 184.05MB | ||
2.11 chapter review |
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2022-09-08 | 107.69MB | ||
3.1 The Tangent Line |
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2022-09-08 | 10.04MB | ||
3.2 Velocity |
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2022-09-08 | 14.03MB | ||
3.3 definition of derivative |
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2022-09-08 | 10.47MB | ||
3.4 equivalent forms for the derivative |
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2022-09-08 | 11.69MB | ||
3.5 increments |
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2022-09-08 | 9.38MB | ||
3.6 rules for finding deviratives |
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2022-09-08 | 18.88MB | ||
3.7 product rule |
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2022-09-08 | 7.62MB | ||
3.8 quotient rule |
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2022-09-08 | 6.54MB | ||
3.9 derivatives of trigonometric functions |
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2022-09-08 | 129.26MB | ||
3.10 chain rule |
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2022-09-08 | 130.81MB | ||
3.11 Higher-Order Derivatives |
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2022-09-08 | 18.25MB | ||
4.1 max&min existence theorem |
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2022-09-08 | 103.78MB | ||
4.2 critical point theorem |
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2022-09-08 | 156.04MB | ||
4.3 what are extreme values |
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2022-09-08 | 176.29MB | ||
4.4 monotonicity theorem |
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2022-09-08 | 145.83MB | ||
4.5 concavity |
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2022-09-08 | 211.45MB | ||
4.6 first derivative test |
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2022-09-08 | 201.60MB | ||
4.7 second derivative test |
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2022-09-08 | 100.97MB | ||
4.8 definition of antiderivative |
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2022-09-08 | 98.32MB | ||
4.9 power rule |
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2022-09-08 | 60.22MB | ||
4.10 indefinite integral is a linear operator |
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2022-09-08 | 120.00MB | ||
4.11 generalized power rule |
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2022-09-08 | 133.72MB | ||
5.1 introduction to area |
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2022-09-08 | 9.56MB | ||
5.2 sigma notation |
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2022-09-08 | 19.57MB | ||
5.3 Inscribed/Circumscribed Polygons |
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2022-09-08 | 16.22MB | ||
5.4 Riemann sun |
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2022-09-08 | 15.11MB | ||
5.5 definition of definite integral |
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2022-09-08 | 151.26MB | ||
5.6 first fundamental theorem |
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2022-09-08 | 88.15MB | ||
5.7 second fundamental theorem |
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2022-09-08 | 113.17MB | ||
5.8 method of substitution |
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2022-09-08 | 200.34MB | ||
5.9 substitution rule for definite integral |
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2022-09-08 | 15.54MB | ||
5.10 chapter review |
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2022-09-08 | 8.19MB |