Course title
微分積分学Ⅱおよび演習   [Calculus Ⅱ]
Course category technology speciality courses  Requirement   Credit 3 
Department   Year 14  Semester 3rd 
Course type 3rd  Course code 021927
Instructor(s)
畠中 英里   [HATAKENAKA Eri]
Facility affiliation Faculty of Engineering Office afjgxte/L1151  Email address

Course description
Calculus provides indispensable tools to analyze various mathematical changes in natural and social phenomena. In this course, we will learn about the differentiations and the integrations of multivariable functions. In particular, we will mainly deal with two variable functions. Various computations will be practiced wit drawing diagrams.

Class code:vfp7mev
Expected Learning
The goal of this course is

(1) to master basic methods of the differentiations and integrations of two, or more variable functions, and
(2) to be capable of performing practical computations.

Corresponding criteria in the Diploma Policy: See the Curriculum maps.
Course schedule
1. Limits and continuity of functions with two variables, and partial differentiations
2. Total differentiations
3. Differentiations in higher order, and Taylor's theorem
4. Local maxima and minima
5. Implicit function theorem
6. Constrained extremal problem and multiple integrations
7. Review
8. Calculations of multiple integrations
9. Changes of variables
10. Line integrations
11. Applications of multiple integrations
12. Improper integrations
13. Series
14. Power series
15. Review

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
Miyake Toshitsune, “Nyuumon-Bibun-Sekibun”, Baifu-kan (in Jananese)
References
Assessment/Grading
It will be announced in Google Classroom of this course.
Message from instructor(s)
You should try to find your own suitable textbooks, and practice various problems in your private study hours.
Course keywords
Multivariable functions, Partial differentiations, Local maxima and minima of functions of two variables, Multiple integrations, Volumes of solids, Areas of surfaces, Power series
Office hours
Please contact me by e-mail, if necessary.
Remarks 1
Remarks 2
Related URL
http://www.tuat.ac.jp/~hataken/top.html
Lecture Language
Japanese
Language Subject
Last update
9/23/2021 10:58:01 PM