Differential and Integral Calculus 2

Course title

40107000

	yamazawa hiroshi
	hirose sampei
	nakagawa takahiro

Course description

In Differential and Integral Calculus 1, the basis of calculus of one-variable functions was learned.
In this class, students learn the advanced topics of calculus of one-variable functions and calculus of multivariable functions.

Purpose of class

The purpose of this class is to understand the meaning of advanced topics of calculus of one-variable functions and the meaning of calculus of multivariable functions, and to be able to calculate them.

Goals and objectives

To be able to understand the meaning of numerical sequences, series, series expansion of functions, and indeterminate forms, and calculate them.
To be able to understand the meaning of partial differentials and related operations, and calculate them.
To be able to understand the meaning of quadrature by parts, improper integrals, areas, and volumes, and calculate them.
To be able to understand the meaning of multiple integrals, and calculate them.

Language

Japanese

Class schedule

	Class schedule	HW assignments (Including preparation and review of the class.)	Amount of Time Required
1.	Numerical sequences and series	Read through the textbook p.180-p.191 before class. Solve exercises after class.	190minutes
2.	Series expansion of functions and indeterminate forms	Read through the textbook p.193-p.197 and p.200-p.205 before class. Solve exercises after class.	190minutes
3.	Basic properties of functions of two variables	Read through the textbook p.219-p.223 before class. Solve exercises after class.	190minutes
4.	(Higher-order) Partial derivative	Read through the textbook p.224-p.229 before class. Solve exercises after class.	190minutes
5.	Total derivative and extremum	Read through the textbook p.229-p.231 and p.243-p.248 before class. Solve exercises after class.	190minutes
6.	Composite of two functions and its (partial) derivatives	Read through the textbook p.233-p.237 before class. Solve exercises after class.	190minutes
7.	Midterm examination and its explanation	Preparation of midterm examination	190minutes
8.	Quadrature by parts	Read through the textbook p.212-p.214 before class. Solve exercises after class.	190minutes
9.	Improper integrals	Read through the textbook p.164-p.168 before class. Solve exercises after class.	190minutes
10.	Areas and volumes	Read through the textbook p.170-p.177 before class. Solve exercises after class.	190minutes
11.	Iterated integrals	Read through the textbook p.253-p.258 before class. Solve exercises after class.	190minutes
12.	Exchange of the order of integration	Read through the textbook p.259-p.260 before class. Solve exercises after class.	190minutes
13.	Definition of double integral and its calculation using polar coordinates	Read through the textbook p.260-p.264 before class. Solve exercises after class.	190minutes
14.	Final examination and their explanations	Preparation of final examination	190minutes
Total.	-	-	2660minutes

Relationship between 'Goals and Objectives' and 'Course Outcomes'

	Midterm examination	Final examination	Reports and little examinations	Total.
1.	12%		5%	17%
2.	23%		10%	33%
3.		18%	7%	25%
4.		17%	8%	25%
Total.	35%	35%	30%	-

Evaluation method and criteria

Midterm examination(35%), Final examination(35%), Reports and little examinations(30%)

Textbooks and reference materials

Textbook: 微分積分改訂版、矢野健太郎、石原繁編、裳華房

Prerequisites

Review Differential and Integral Calculus 1

Office hours and How to contact professors for questions

30 minutes after class

Regionally-oriented

Non-regionally-oriented course

Development of social and professional independence

Course that cultivates an ability for utilizing knowledge

Active-learning course

More than one class is interactive

Course by professor with work experience

Work experience	Work experience and relevance to the course content if applicatable
N/A	該当しない

Education related SDGs:the Sustainable Development Goals

4.QUALITY EDUCATION

Last modified : Tue Sep 15 04:04:42 JST 2020