个人介绍
工科微积分(英文)(3)

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 (III)
课程编号: 0810103w
学分: 3
课时: 48
课程介绍 (Course Description)
This is the third course of a three course sequence in the differential and integral calculus of functions of one and multiple independent variables. In this class, Topics include the analytic geometry of the graphs of either scalar or vector-valued functions, limits, continuity, partial derivatives and their applications, including optimization, multiple integrals. 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 and II, through the successful completion of these two courses 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 (Associate 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)

朱晓星 (Xiaoxing Zhu)

职称:讲师 (Assistant 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)

胡志成 (Zhicheng Hu)

职称:讲师 (Assistant 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)

教学大纲 (Course Syllabus)

Chapter 9 Polar Functions (8 hours)

§9.1 Polar Coordinates and Graphs (3 hours)

§9.2 Calculus of Polar Curves (3 hours)

Review and Recitation (2 hours)

 

   Chapter 10 Multivariable Functions and Their Derivatives (8 hours)

§10.1 Functions of Several Variables (2 hours)

§10.2 Partial Derivatives (2 hours)

§10.3 The Chain Rule (2 hours)

Review and Recitation (2 hours)

 

   Chapter 11 Multiple Integrals (24 hours)

§11.1 Double Integrals (4 hours)

§11.2 Double Integrals in Polar Form (4 hours)

       §11.3 Triple Integrals in Rectangular Coordinates (4 hours)

§11.4 Triple Integrals in Cylindrical and SphericalCoordinates (8 hours)

Review and Recitation (4 hours)

 

   Chapter  12 Vectors and Vector Functions (8 hours)

§12.1 Cartesian (Rectangular) Coordinates and Vectors (2 hours)

§12.2 Dot and Cross Products (2 hours)

§12.3 Vector-Valued Functions and Space Curves (2 hours)

Review and Recitation (2 hours)

 


参考教材 (Textbook 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 Polar coordinates (part 1)
视频
.mp4
2020-05-16 116.24MB
 
文档
.pdf
2020-05-16 1.22MB
1.2 Polar coordinates (part 2)
视频
.mp4
2020-05-05 117.74MB
 
文档
.pdf
2020-05-05 1013.57KB
1.3 Area in polar coordinates
视频
.mp4
2020-05-05 112.67MB
 
文档
.pdf
2020-05-05 814.31KB
2.1 Functions with two and more independent variables
视频
.mp4
2020-05-05 147.50MB
 
文档
.pdf
2020-05-05 1.29MB
2.2 An introduction to partial derivatives
视频
.mp4
2020-05-05 117.41MB
 
文档
.pdf
2020-05-05 1.32MB
2.3 The chain rule
视频
.mp4
2020-05-09 69.59MB
 
文档
.pdf
2020-05-09 618.83KB
3.1 Double integrals (part 1)
视频
.mp4
2020-05-09 116.13MB
 
文档
.pdf
2020-05-09 676.57KB
3.2 Double integrals (part 2)
视频
.mp4
2020-05-09 121.52MB
 
文档
.pdf
2020-05-09 704.40KB
3.3 Double Integrals (part 3)
视频
.mp4
2020-05-09 124.98MB
 
文档
.pdf
2020-05-09 398.78KB
3.4 Double integrals in polar coordinates
视频
.mp4
2020-05-14 73.09MB
 
文档
.pdf
2020-05-14 640.80KB
4.1 Triple integrals (part 1)
视频
.mp4
2020-05-14 79.33MB
 
文档
.pdf
2020-05-14 511.93KB
4.2 Triple integrals (part 2)
视频
.mp4
2020-05-16 82.12MB
 
文档
.pdf
2020-05-16 414.81KB
4.3 Triple integrals in cylindrical coordinates (part 1)
视频
.mp4
2020-05-16 47.53MB
 
文档
.pdf
2020-05-16 621.14KB
4.4 Triple integrals in cylindrical coordinates (part 2)
视频
.mp4
2020-05-16 57.72MB
 
文档
.pdf
2020-05-16 568.74KB
4.5 Triple integrals in spherical coordinates (part 1)
视频
.mp4
2020-05-16 53.04MB
 
文档
.pdf
2020-05-16 463.67KB
4.6 Triple integrals in spherical coordinates (part 2)
视频
.mp4
2020-05-16 88.11MB
 
文档
.pdf
2020-05-16 557.83KB
4.7 Triple integrals in spherical coordinates (part 3)
视频
.mp4
2020-05-16 62.39MB
 
文档
.pdf
2020-05-16 532.51KB
5.1 Vectors in the plane
视频
.mp4
2020-05-16 134.01MB
 
文档
.pdf
2020-05-16 595.41KB
5.2 Vector valued functions
视频
.mp4
2020-05-14 73.34MB
 
文档
.pdf
2020-05-14 370.00KB
5.3 Vectors and vector functions in the space
视频
.mp4
2020-05-16 87.80MB
 
文档
.pdf
2020-05-16 509.52KB
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