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