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	1～4	Semester	3rd
Course type	3rd	Course code	021930
Instructor(s)
直井 克之   [NAOI Katsuyuki]
Facility affiliation	Faculty of Engineering	Office	afjgxte/L1151	Email address

Course description

classcode: fywffhy 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 and differenciations of composite functions 3. Higher order partial differentiations, and Taylor's theorem 4. Local maxima and minima of functions of two variables 5. Implicit functions 6. Constrained extremal problem 6. Exercises midterm examination 7. Double integrations 8. Improper integrations 8. Changes of variables 9. Applications of double integrations 12. Line integrations and Green's theorem 13. Series and power series 1 14. Series and power series 2 15. Exercises term examination 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. 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

入門微分積分（三宅敏恒）培風館

References

Assessment/Grading

examinations（100%)

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

after the class

Remarks 1

Past Grade Distribution 2019: S 12.7% A 20.6% B 25.4% C 28.6% D 12.5% 2018 S 10.4% A 22.1% B 24.7% C 23.4% D 19.5% 2017 S 9.6% A 23.3% B 30.1% C 27.4% D 9.5% 2016 S 11.3% A 19.7% B 26.8% C 33.8% D 8.4% 2014 S 11.1% A 22.2% B 17.5% C 25.4% D 23.8%

Remarks 2

Related URL

link for Google classroom: https://classroom.google.com/c/Mzg4OTQ2MjkzODQ1?cjc=fywffhy

Lecture Language

Japanese

Language Subject

Last update

9/8/2021 10:13:22 AM