个人介绍
工科微积分(英文)(2)

主讲教师:王彤 (Tong Wang)

教师团队:共4

  • 王彤 (Tong Wang)
  • 曹荣美 (Rongmei Cao)
  • 朱晓星 (Xiaoxing Zhu)
  • 胡志成 (Zhicheng Hu)
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
课程介绍 (Course Description)
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. 
教师团队 (Teaching Group)

王彤 (Tong Wang)

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)

曹荣美 (Rongmei Cao)

职称:副教授

单位:南京航空航天大学

部门:理学院数学系

职位:副系主任

朱晓星 (Xiaoxing Zhu)

职称:讲师

单位:南京航空航天大学

部门:理学院数学系

胡志成 (Zhicheng Hu)

职称:讲师

单位:南京航空航天大学

部门:理学院数学系

教学大纲 (Course Syllabus)

Chapter 6 Transcendental Functions (10 hours)

§6.1 Logarithms (3 hours)

§6.2 Exponential Functions (3 hours)

§6.3 Derivatives of Inverse trig functions; integrals (2 hours)

Review and Recitation (2 hours)

 

   Chapter 7 Integration Techniques (18 hours)

§7.1 Basic integration formulas (2 hour)

§7.2 Integration by parts (3 hours)

§7.2 Integrating powers and products of trigonometric functions (3 hours)

§7.3 Partial fraction decomposition (3 hours)

§7.4 Trig. Substitutions (3 hours)

Review and Recitation (4 hours)

 

   Chapter 8 L’Hopital’s rule (4 hours)

§8.1 L’Hopital’s rule for indeterminant forms (3 hours)

Review and Recitation (1 hour)


参考教材 (Textbbook and Reference)

Textbook: Calculus, James Stewart, 7th edition.(two volumes)

                   This book will be used to give the homework problems.


Reference book: Thomas' Calculus, 10th edition. (two volumes)


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 Inverse function and its derivative
视频
.mp4
2020-05-05 71.54MB
 
文档
.ppt
2020-05-05 2.47MB
1.2 Logarithmic functions
视频
.mp4
2020-05-05 80.36MB
 
文档
.ppt
2020-05-05 1.12MB
1.3 Exponential functions
视频
.mp4
2020-05-05 62.28MB
 
文档
.ppt
2020-05-05 794.50KB
1.4 Some trigonometric functions
视频
.mp4
2020-05-05 62.15MB
 
文档
.ppt
2020-05-05 1.09MB
2.1 Logarithmic differentiation
视频
.mp4
2020-05-05 54.64MB
 
文档
.ppt
2020-05-05 549.50KB
2.2 Inverse trigonometric functions
视频
.mp4
2020-05-05 124.80MB
 
文档
.ppt
2020-05-05 1.80MB
3.1 Integration by parts
视频
.mp4
2020-05-05 147.91MB
 
文档
.ppt
2020-05-05 2.51MB
3.2 Integrating powers and products of trigonpmetric functions
视频
.mp4
2020-05-05 99.95MB
 
文档
.ppt
2020-05-05 1.77MB
3.3 Trigonometric substitution
视频
.mp4
2020-05-05 145.43MB
 
文档
.ppt
2020-05-05 1.40MB
3.4 Partial fraction decomposition (part 1)
视频
.mp4
2020-05-05 127.10MB
 
文档
.ppt
2020-05-05 771.50KB
3.5 Partial fraction decomposition
视频
.mp4
2020-05-05 194.45MB
 
文档
.ppt
2020-05-05 821.00KB
4.1 Indeterminant forms other than 0/0 and infinity/infinity
视频
.mp4
2020-05-05 115.22MB
 
文档
.ppt
2020-05-05 1.67MB
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