| Course title | |||||
| 応用生物科学専門実験Ⅱ [Laboratory Work of Applied Biological Science Ⅱ] | |||||
| Course category | Requirement | Credit | 2 | ||
| Department | Year | 2～ | Semester | Fall | |
| Course type | Fall | Course code | 01ma2004a | ||
| Instructor(s) | |||||
| 中田 宗隆 [NAKATA Munetaka] | |||||
| Facility affiliation | Graduate School of Bio-Applications and Systems Engineering | Office | 1-416 | Email address | |
| Course description |
|
classcode: naye35a 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. Corresponding criteria in the Diploma Policy: See the Curriculum maps |
| Course schedule |
|
1. Functions of several variables 2. Ttotal differentiations 3. differenciations of composite functions 4. Higher order partial differentiations, and Taylor's theorem 5. Local maxima and minima of functions of two variables 6. Implicit functions 7. Constrained extremal problem 8. Exercises midterm examination 9. iterated integrations 10. Double integrations 11. Improper integrations 12. Changes of variables 13. Applications of double integrations 14. triple integrations 15. Exercises term examination |
| Prerequisites |
|
Knowledge of the course of Calculus I and Exercise will be used in the lecture. In addition to 30 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 |
| to be introduced at the first lecture. |
| References |
| Assessment/Grading |
| midterm examination 50%, term examination 50% |
| 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 |
| Office hours |
| in Fuchu, after the lecture |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Japanese |
| Language Subject |
| Last update |
| 1/26/2023 10:18:31 AM |