| Course title | |||||
| 微分積分学Ⅱおよび演習 [Calculus Ⅱ] | |||||
| Course category | technology speciality courses | Requirement | Credit | 3 | |
| Department | Year | 1～4 | Semester | 3rd | |
| Course type | 3rd | Course code | 021931 | ||
| Instructor(s) | |||||
| 村田 実貴生 [MURATA Mikio] | |||||
| Facility affiliation | Faculty of Engineering | Office | Room 213, Building 12, Koganei | Email address | |
| Course description |
|
Calculus provides indispensable tools to analyze various mathematical changes appearing in natural and social phenomena. In this course, we will learn about differentiation and integration of multivariable functions, such as partial differentiations, criteria of local maxima and minima, double and triple integrations, volumes of solids, line integrations and series. Various computations will be practiced with drawing diagrams. |
| Expected Learning |
|
The goals of this course are (1) to master basic methods of the differentiation and integration of two, or multivariable functions, and (2) to be capable of performing practical computations. Corresponding criteria in the Diploma Policy: See the Curriculum maps. |
| Course schedule |
|
1. Functions of two variables 2. Total differentiation, and differentiation of composite functions 3. Higher order partial differentiation, and Taylor's theorem 4. Implicit function theorem 5. Double integrations 6. Changes of variables for double integrations 7. Line integrations and Green's theorem 8. Volumes of solids and areas of surfaces 9. Summary of the first half 10. Gamma function and Beta function 11. Improper integrations 12. Series 13. Power series 14. Summary of the whole 1 15. Summary of the whole 2 Midterm report will be held in the ninth class. Final examination will be conducted extra at the last of the term in the adjustment period for all the classes of this course. |
| Prerequisites |
|
It is categorized into technology speciality courses. Knowledge of the course of Calculus I and Exercise will be used in the lecture. In addition to 60 hours that students spend in the class, students are recommended to prepare for and revise the lectures, spending the standard amount of time as specified by the university and using the lecture notes as well as the text book specified below. |
| Required Text(s) and Materials |
| References |
| Miyake, Toshitsune (1992) Nyumon Bibunsekibun, Baifukan |
| Assessment/Grading |
|
Midterm report (30％)，Final examination (40％)，Exercises (30％) Grade distribution(2019); Ｓ:7(9.9％), Ａ:12(16.9％), Ｂ:17(23.9％), Ｃ:19(26.8％), Ｄ:16(22.5％) |
| Message from instructor(s) |
| To understand natural science, Calculus is a very important basic study. Please learn not to be frustrated until the end. |
| Course keywords |
| Multivariable functions, Partial differentiations, Local maxima and minima of functions of two variables, Multiple integrations, Volumes of solids and areas of surfaces, Series |
| Office hours |
| From 14:45 to 16:15 on Friday |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Japanese |
| Language Subject |
| Last update |
| 10/5/2020 10:03:04 AM |