| Course title | |||||
| 微分積分学Ⅱ [CalculusⅡ] | |||||
| Course category | Requirement | Credit | 2 | ||
| Department | Year | 2～ | Semester | 1st | |
| Course type | 1st | Course code | 01ma2004c | ||
| Instructor(s) | |||||
| 本田 龍央 [HONDA Tatsuo] | |||||
| Facility affiliation | Graduate School of Agriculture | Office | afjgxte/L1151 | 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 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. Constrained extremal problem 7. Midterm examination, review 8. iterated integrations・Double integrations 9. Changes of variables 10. Improper integrations 11. Applications of double integrations 12. triple integrations 13. differential equations of the separation of variables 14. linear differential equations of the first order 15. Term examination, review |
| Prerequisites |
| Knowledge of the course of Calculus I will be used in the lecture. |
| Required Text(s) and Materials |
| References |
| 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 |
| 1/24/2021 6:49:31 PM |