Differential and Integral Calculus 2

Course title

3100310V

Middle-level Diploma Policy (mDP)

Program / Major	mDP	Goals
Mathematical Sciences Course	DP-1・3・1	自然科学、情報技術に関する基礎的知識を理解し、利用できる。

Purpose of class

The purpose of this class is to understand the difference between function of one variable and function of several variables. Moreover, student will be able to compute partial derivatives and multiple integral.

Course description

This is a course on calculus. Student will learn concepts of function of two or more variables.

Goals and objectives

To understand the difference between function of one variable and function of several variables
To be able to compute partial derivatives and to understand its application
To be able to compute multiple integral and to understand its application

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

	Examination	report	Total.
1.	12%	8%	20%
2.	23%	16%	39%
3.	25%	16%	41%
Total.	60%	40%	-

Evaluation method and criteria

Examination and report

Language

Japanese

Class schedule

	Class schedule	HW assignments (Including preparation and review of the class.)	Amount of Time Required
1.	Definition of function of several variables	Review of Mathematics 1	200minutes
2.	Limit of function of several variables	Review of a previous lecture	200minutes
3.	Continuity of function of several variables	Review of a previous lecture	200minutes
4.	Definition of partial derivatives	Review of a previous lecture	200minutes
5.	Higher-order partial derivatives	Review of a previous lecture	200minutes
6.	Differentials	Review of a previous lecture	200minutes
7.	Differentiation of composite functions	Review of a previous lecture	200minutes
8.	Taylor’s theorem for several variables	Review of a previous lecture	200minutes
9.	Extreme value problem	Review of a previous lecture	200minutes
10.	Definition of multiple integral	Review of a previous lecture	200minutes
11.	Iterated integrals	Review of a previous lecture	200minutes
12.	Transformations of multiple integrals	Review of a previous lecture	200minutes
13.	Improper integral of multiple integrals	Review of a previous lecture	200minutes
14.	Examination	Review of a previous lecture	200minutes
Total.	-	-	2800minutes

Feedback on exams, assignments, etc.

ways of feedback	specific contents about "Other"
Feedback in the class

Textbooks and reference materials

Calculus to learn in an exercise, Morikita Publishing (Japanese)

Prerequisites

Office hours and How to contact professors for questions

Before or after the lecture

Regionally-oriented

Non-regionally-oriented course

Development of social and professional independence

Course that cultivates an ability for utilizing knowledge

Active-learning course

N/A

Course by professor with work experience

Work experience	Work experience and relevance to the course content if applicable
N/A	N/A

Education related SDGs:the Sustainable Development Goals

4.QUALITY EDUCATION

Last modified : Sat Mar 14 14:33:17 JST 2026