| 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 | 021928 | ||
| Instructor(s) | |||||
| 水野 勇磨 [] | |||||
| Facility affiliation | Graduate School of Engineering | 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, volumes of solids, line integrations and series. Various computations will be practiced with drawing diagrams. Google Classroom xn2r26f |
| 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. Multivariable function 2. Derivative of multivariable function 3. Derivative of the composition of functions 4. Taylor series of multivariable function 5. Local extremum of multivariable function 6. Local extremum subject to constraints, Lagrange multiplier 7. Summary of the first half, Examination 8. Multiple integral 9. Multiple integral and change of variables 10. Applications of multiple integral 11. Multiple improper integral 12. Line integral, Green's theorem 13. Series 14. Power series 15. Summary of the second part, Examination |
| Prerequisites |
|
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 handouts as well as the references specified below. |
| Required Text(s) and Materials |
| Textbooks will be introduced in the first lecture, if necessary. |
| References |
| Assessment/Grading |
| It will be announced in the first lecture. |
| 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 |
| It will be announced in the first lecture. |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Japanese |
| Language Subject |
| Last update |
| 9/27/2021 9:07:59 AM |