Course title
微分積分学Ⅱ   [CalculusⅡ]
Course category   Requirement   Credit 2 
Department   Year 2  Semester 1st 
Course type 1st  Course code 01ma2004a
Instructor(s)
合田 洋   [GODA Hiroshi]
Facility affiliation Faculty of Engineering Office Koganei12-211  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.
Corresponding criteria in the Diploma Policy: See the Curriculum maps
Course schedule
1. Limits and continuity of functions of two variables
2. Partial differentiation and total differentiation
3. Partial differentiation of composite functions
4. Partial differentiation of higher order
5. Taylor's theorem for functions of two variables
6. Local maxima and minima of functions of two variables
7. Implicit functions: Local maxima and minima under bounded conditions
8. Exercises, or midterm examination
9. Double integration
10. Iterated integrations
11. Changes of variables
12. Triple integrations
13. Improper integrations
14. Volumes of solids and areas of surfaces
15. Exercise and term examination
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
to be introduced at the first lecture.
References
Assessment/Grading
Show it considering the condition of COVID-19.
Only attendance does not effect to the assessment.
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
Office hours
in Fuchu, before/after the lecture
Remarks 1
google classroom: 4jk4wi6
Remarks 2
Related URL
Lecture Language
Japanese
Language Subject
Last update
3/29/2022 11:19:37 AM