| Course title | |||||
| 微分積分学Ⅱ [Calculus Ⅱ] | |||||
| Course category | Requirement | Credit | 2 | ||
| Department | Year | 2～ | Semester | 1st | |
| Course type | 1st | Course code | 01MA0504a | ||
| Instructor(s) | |||||
| 直井 克之 [NAOI Katsuyuki] | |||||
| Facility affiliation | Faculty of Engineering | Office | building 12, room 226 | 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, and volumes of solids. 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. (URL: https://www.tuat.ac.jp/campuslife_career/campuslife/policy/ ) |
| Course schedule |
|
1. Functions of several variables 2. Ttotal differentiations 3. differenciations of composite functions 4. Higher order partial differentiations, and Taylor's theorem 5. Local maxima and minima of functions of two variables 6. Implicit functions 7. Constrained extremal problem 8. Exercises midterm examination 9. iterated integrations 10. Double integrations 11. Improper integrations 12. Changes of variables 13. Applications of double integrations 14. triple integrations 15. Exercises term examination |
| Prerequisites |
|
Knowledge of the course of Calculus I will be used in the lecture. In addition to 30 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. |
| Required Text(s) and Materials |
| References |
| 入門微分積分（三宅敏恒）培風館 |
| Assessment/Grading |
| midterm examination 50%, term examination 50% |
| Message from instructor(s) |
| Course keywords |
| Multivariable functions, Partial differentiations, Local maxima and minima of functions of two variables, Multiple integrations, Volumes of solids and areas of surfaces |
| Office hours |
| after the class |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Japanese |
| Language Subject |
| Last update |
| 3/25/2019 4:39:08 PM |