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 021926
Instructor(s)
大久保 直人   [OOKUBO Naoto]
Facility affiliation Graduate School of Engineering Office afjgxte/L1151  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.

Class code: nrubdfx
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
week1: Functions of two variables
week2: Partial derivatives, Total derivatives
week3: Differentiation of composite functions
week4: Taylor's theorem
week5: Local maxima and minima of functions of two variables
week6: Implicit functions
week7: Midterm examination
week8: Double integrals
week9: Changes of variables, Triple integrals
week10: Volumes, Surface areas
week11: Gamma function, Beta function
week12: Line integrals, Green's theorem
week13: Series
week14: Power series
week15: Final examination
Prerequisites
It is categorized into technology speciality courses.  
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 notes.
Required Text(s) and Materials
References
Miyake, Toshitsune, “Nyumon Bibunsekibun”, Baifukan
Assessment/Grading
Exercises (20%), Midterm examination (40%),Final examination (40%),
Message from instructor(s)
Course keywords
Multivariable function, Partial derivative, Double integral, Power series
Office hours
The time before or after lectures
Remarks 1
Remarks 2
Related URL
Lecture Language
Japanese
Language Subject
Last update
9/29/2021 1:40:08 AM