Course title
微分積分学Ⅱおよび演習   [Calculus Ⅱ]
Course category	technology speciality courses,ets.	Requirement		Credit	3
Department		Year	1～4	Semester	Fall
Course type	Fall	Course code	021718
Instructor(s)
大久保 直人   [OOKUBO Naoto]
Facility affiliation	Graduate School of Engineering	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, 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.

Course schedule

week1: Multivariable functions week2: Partial derivatives, Total derivatives week3: Taylor's theorem week4: Implicit functions week5: Double integrals week6: Changes of variables week7: Triple integrals week8: Volumes and Surface areas week9: Line integrals, Green's theorem week10: Gamma function week11: Series week12: Power series week13: Exercise week14: 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.

Required Text(s) and Materials

References

Miyake, Toshitsune, “Nyumon Bibunsekibun”, Baifukan

Assessment/Grading

Term examination (70％)，Common examination (30％)

Message from instructor(s)

Course keywords

Multivariable function, Partial derivative, Double integral, Power series

Office hours

Remarks 1

Remarks 2

Related URL

Lecture Language

Language Subject

Last update

9/18/2018 9:48:55 AM