职称:教授 (Professor)
单位:南京航空航天大学 (Nanjing University of Aeronautics and Astronautics)
部门:理学院数学系 (Department of Mathematics)
主讲教师:王彤 (Tong Wang)
教师团队:共4位
学校: | Nanjing University of Aeronautics and Astronautics |
开课院系: | 理学院 |
专业大类: | Mathematics |
开课专业: | Engineering |
课程英文名称: | Calculus for Engineering Sciences II |
课程编号: | 0810121w |
学分: | 2 |
课时: | 32 |
This is the second part of a three course sequence in the differential and integral calculus of functions of one independent variable. In this class, topics include differentiation of logarithmic functions, exponential functions, and inverse trigonometric functions. The advanced techniques of integration, such as integration by parts, trigonometric substitution, and partial fraction decomposition, are discussed. The L'Hopital's rule will be revisited to discuss the indeterminant forms other than 0/0 and infinity/infinity. Applications to the physical sciences and engineering will be a focus of this course, as this sequence of courses is designed to meet the needs of students in these disciplines. Students planning to take this course must demonstrate a proficiency in Calculus for Engineering Sciences I, through the successful completion of this course by achieving an adequate score in the Final Exam offered by the Mathematics Department. This sequence of courses is considered foundational to all higher-level courses in mathematics.
课程章节 | | 文件类型 | | 修改时间 | | 大小 | | 备注 | |
1.1 Inverse function and its derivative |
视频
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2020-05-05 | 71.54MB | ||
文档
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2020-05-05 | 2.47MB | |||
1.2 Logarithmic functions |
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2020-05-05 | 80.36MB | ||
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2020-05-05 | 1.12MB | |||
1.3 Exponential functions |
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2020-05-05 | 62.28MB | ||
文档
.ppt
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2020-05-05 | 794.50KB | |||
1.4 Some trigonometric functions |
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2020-05-05 | 62.15MB | ||
文档
.ppt
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2020-05-05 | 1.09MB | |||
2.1 Logarithmic differentiation |
视频
.mp4
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2020-05-05 | 54.64MB | ||
文档
.ppt
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2020-05-05 | 549.50KB | |||
2.2 Inverse trigonometric functions |
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2020-05-05 | 124.80MB | ||
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2020-05-05 | 1.80MB | |||
3.1 Integration by parts |
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2020-05-05 | 147.91MB | ||
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2020-05-05 | 2.51MB | |||
3.2 Integrating powers and products of trigonpmetric functions |
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2020-05-05 | 99.95MB | ||
文档
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2020-05-05 | 1.77MB | |||
3.3 Trigonometric substitution |
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2020-05-05 | 145.43MB | ||
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2020-05-05 | 1.40MB | |||
3.4 Partial fraction decomposition (part 1) |
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2020-05-05 | 127.10MB | ||
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2020-05-05 | 771.50KB | |||
3.5 Partial fraction decomposition |
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2020-05-05 | 194.45MB | ||
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2020-05-05 | 821.00KB | |||
4.1 Indeterminant forms other than 0/0 and infinity/infinity |
视频
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2020-05-05 | 115.22MB | ||
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2020-05-05 | 1.67MB |