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 14  Semester Fall 
Course type Fall  Course code 021816
Instructor(s)
村田 実貴生   [MURATA Mikio]
Facility affiliation Faculty of Engineering Office Room 213, Building 12, Koganei  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 calculus

week2: Partial derivatives and total derivatives

week3: Higher order partial derivatives

week4: Sequence of numbers

week5: Functions

week6: Double integrals

week7: Limits and continuity

week8: Midterm examination

week9: Triple integrals

week10: Improper integrals

week11: Volumes and Surface areas

week12: Line integrals and Green's theorem

week13: Series

week14: Power series

week15: Exercise

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 (1992) Nyumon Bibunsekibun, Baifukan
Assessment/Grading
Midterm examination (40%),Final examination (40%),Exercises (20%)
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
15:00-16:00 on Friday, Room 213, Building 12, Koganei Campus
Remarks 1
Remarks 2
Related URL
Lecture Language
Japanese
Language Subject
Last update
3/2/2018 2:35:03 PM