| Course title | |||||
| ベクトル解析 [Vector Analysis] | |||||
| Course category | technology speciality courses,ets. | Requirement | Credit | 2 | |
| Department | Year | 2～4 | Semester | Spring | |
| Course type | Spring | Course code | 022310 | ||
| Instructor(s) | |||||
| 金城 謙作 [KINJO Kensaku] | |||||
| Facility affiliation | Graduate School of Engineering | Office | Email address | ||
| Course description |
| Vector Calculus provides indispensable tools to analyze changes of states of spaces appearing in dynamics, electromagnetism and fluid dynamics. In this course, we will learn properties of vector fields, curves and surfaces, using Calculus and Linear Algebra. |
| Expected Learning |
|
The goals of this course are (1) to understand the basis of scalar and vector fields, gradient, divergence, rotation, line and surface integrations, and (2) to understand Gauss’ divergence theorem and Stokes’ theorem, and to be capable of performing practical computations by using these theorems. |
| Course schedule |
|
1. Inner and cross products, and planes and space curves 2. Mappings and Derivatives of multivariable functions 3. Vector fields and derivatives of vector fields 4. Length of curves and Line integrals 5. Line integral and Green’s theorem 6. Geometry of surfaces 7. Midterm examination 8. Integral of multivariable functions and change of variables 9. Surface integral and flux integral 10. Rotation of vector fields and Stokes’ theorem I 11. Stokes’ theorem II 12. Gauss’ divergence theorem I 13. Gauss’ divergence theorem II 14. Green’s theorem 15. Term examination |
| Prerequisites |
| Knowledge of the courses of “Calculus Ⅰ/Ⅱ and Exercise” will be used in this course. |
| Required Text(s) and Materials |
| SHIMIZU Yuuji, “Kiso-to-Ouyou Bekutoru Kaiseki”, Science-sya, ISBN 978-4-7819-1378-0, (in Japanese) |
| References |
| Assessment/Grading |
|
Results of the term and the midterm examinations, and mini tests will be used for evaluation. (The ratio of the term and the midterm examinations, and mini tests is the larger of 4:3:3 and 3:2:0) |
| Message from instructor(s) |
| Try to solve questions that I give in the class and exercises in the textbook very much. You can ask me anything whenever you want. Enjoy mathematics and celebrate the joy of youth. |
| Course keywords |
| Scalar field, Vector field, Divergence, Gradient, Rotation, Gauss’ divergence theorem, Stokes’ theorem. |
| Office hours |
| Before or After the class. Ask me if it is inconvenient for you. I may be able to change the date. |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Language Subject |
| Last update |
| 4/6/2017 4:18:26 PM |