| Course title | |||||
| 微分積分学Ⅱおよび演習 [Calculus Ⅱ] | |||||
| Course category | technology speciality courses,ets. | Requirement | Credit | 3 | |
| Department | Year | 1～4 | Semester | Fall | |
| Course type | Fall | Course code | 021521 | ||
| Instructor(s) | |||||
| 前田 博信 [MAEDA Hironobu] | |||||
| Facility affiliation | Faculty of Engineering | Office | 12-212 | 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. |
| Course schedule |
|
1. Limits and continuity of functions of two variables 2. Partial differentiations and total differentiations 3. Higher order partial differentiations, and partial differentiations of composite functions 4. Taylor’s theorem for functions of two variables 5. Local maxima and minima of functions of two variables 6. Exercises, or midterm examination 7. Double integrations 8. Changes of variables 9. Triple integrations, and changes of variables by using the system of polar coordinates 10. Improper integrations 11. Volumes of solids and areas of surfaces 12. Line integrations and Green's theorem 13. Series and power series 1 14. Series and power series 2 15. Exercises, or term examination |
| Prerequisites |
| Knowledge of the course of Calculus I and Exercise will be used in the lecture. |
| Required Text(s) and Materials |
| will be introduced at the first lecture. |
| References |
| R. Dedekind, Was sind und was sollen die Zahlen. |
| Assessment/Grading |
| 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, Series |
| Office hours |
| will be indicated in the first lecture |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Japanese |
| Language Subject |
| Last update |
| 3/11/2017 10:21:28 AM |