Course title
微分積分学Ⅱ   [CalculusⅡ]
Course category		Requirement		Credit	2
Department		Year	2～	Semester	1st
Course type	1st	Course code	01ma2004c
Instructor(s)
本田 龍央   [HONDA Tatsuo]
Facility affiliation	Graduate School of Agriculture	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, and volumes of solids. 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 Corresponding criteria in the Diploma Policy: See the Curriculum maps. (URL: https://www.tuat.ac.jp/campuslife_career/campuslife/policy/ )

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. Constrained extremal problem 7. Midterm examination, review 8. iterated integrations・Double integrations 9. Changes of variables 10. Improper integrations 11. Applications of double integrations 12. triple integrations 13. differential equations of the separation of variables 14. linear differential equations of the first order 15. Term examination, review

Prerequisites

Knowledge of the course of Calculus I will be used in the lecture.

Required Text(s) and Materials

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

After the class.

Remarks 1

Remarks 2

Related URL

Lecture Language

Japanese

Language Subject

Last update

1/19/2022 11:01:32 AM