| Course title | |||||
| 微分積分学Ⅱおよび演習 [Calculus Ⅱ] | |||||
| Course category | technology speciality courses | Requirement | Credit | 3 | |
| Department | Department of Biomedical Engineering, Applied Physics(~2018) | Year | 1～4 | Semester | 3rd |
| Course type | 3rd | Course code | 021926 | ||
| 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. Naoto Okubo (a part-time lecturer) will be in charge of this course. |
| 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: Multivariable functions week2: Partial derivatives, Total derivatives week3: Taylor's theorem week4: Implicit functions week5: Double integrals week6: Changes of variables week7: Triple integrals week8: Volumes and Surface areas week9: Line integrals, Green's theorem week10: Gamma function week11: Series week12: Power series week13: Exercise week14: Review, and term examination A common examination will be conducted extra at the last of the term in the adjustment period for all the classes of this course. |
| 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 |
| References |
| Miyake, Toshitsune, “Nyumon Bibunsekibun”, Baifukan |
| Assessment/Grading |
| Term examination (70％)，Common examination (30％) |
| Message from instructor(s) |
| Course keywords |
| Multivariable function, Partial derivative, Double integral, Power series |
| Office hours |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Language Subject |
| Last update |
| 5/31/2019 4:06:12 PM |