| 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) | |||||
| 大久保 直人 [OOKUBO Naoto] | |||||
| Facility affiliation | Graduate School of Engineering | Office | 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. This course is taught by a part-time lecturer. Once the employment of the part-time lecturer is confirmed, this syllabus may be modified. In this case, the official version is the modified syllabus. |
| 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 |
|
week1: Functions of two variables week2: Partial derivatives, Total derivatives week3: Differentiation of composite functions week4: Taylor's theorem week5: Local maxima and minima of functions of two variables week6: Implicit functions week7: Midterm examination week8: Double integrals week9: Changes of variables, Triple integrals week10: Volumes, Surface areas week11: Gamma function, Beta function week12: Line integrals, Green's theorem week13: Series week14: Power series week15: Final examination |
| 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. |
| Required Text(s) and Materials |
| References |
| Miyake, Toshitsune, “Nyumon Bibunsekibun”, Baifukan |
| Assessment/Grading |
| Exercises (20％), Midterm examination (40％)，Final examination (40％)， |
| Message from instructor(s) |
| Course keywords |
| Multivariable function, Partial derivative, Double integral, Power series |
| Office hours |
| The time before or after lectures |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Japanese |
| Language Subject |
| Last update |
| 1/17/2022 11:07:41 AM |