| 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 | 021816 | ||
| Instructor(s) | |||||
| 村田 実貴生 [MURATA Mikio] | |||||
| Facility affiliation | Faculty of Engineering | Office | Room 213, Building 12, Koganei | 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 |
|
week1: Multivariable calculus week2: Partial derivatives and total derivatives week3: Higher order partial derivatives week4: Sequence of numbers week5: Functions week6: Double integrals week7: Limits and continuity week8: Midterm examination week9: Triple integrals week10: Improper integrals week11: Volumes and Surface areas week12: Line integrals and Green's theorem week13: Series week14: Power series week15: Exercise 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. |
| Required Text(s) and Materials |
|
Satsuma, Junkichi (2001) Bibunsekibun Rikokei no kisosugaku 1, Iwanami Shoten |
| References |
| Assessment/Grading |
|
Midterm examination (40％)，Final examination (40％)，Exercises (20％) |
| 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 |
| 15:00-16:00 on Friday, Room 213, Building 12, Koganei Campus |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Japanese |
| Language Subject |
| Last update |
| 3/2/2017 10:21:51 AM |