Course title
401070001
Differential and Integral Calculus 2
 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
1. To be able to understand the meaning of numerical sequences, series, series expansion of functions, and indeterminate forms, and calculate them.
2. To be able to understand the meaning of partial differentials and related operations, and calculate them.
3. To be able to understand the meaning of quadrature by parts, improper integrals, areas, and volumes, and calculate them.
4. 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 sequence and series Read through the textbook p.11-p.15、p.111-p.113 and handouts, and solve the exercises before class. Review after class. 190minutes
2. Series (continuity) ans series expansion of function Read through the textbook p.113-p.116、p.51-p.53、p.117-p.121 and handouts, and solve the exercises before class. Review after class. 190minutes
3. Indeterminate form, and basic properties of function of two variables Read through the textbook p.53-p.60、p.145-p.154 and handouts, and solve the exercises before class. Review after class. 190minutes
4. Basic properties of function of two variables (continuity), and (Higher-order) partial derivative Read through the textbook p.154-p.157、p.159-163 and handouts, and solve the exercises before class. Review after class. 190minutes
5. Total derivative and extremum Read through the textbook p.164-p.170、p.186-p.190and handouts, and solve the exercises before class. Review after class. 190minutes
6. Composite of two functions and its (partial) derivatives Read through the textbook pp.171-175 and handouts, and solve the exercises before class. Review after class. 190minutes
7. Midterm examination and its explanation Preparation of midterm examination. 190minutes
8. Quadrature by parts Read through the textbook p.114 and handouts, and solve the exercises before class. Review after class. 190minutes
9. Improper integral Read through the textbook p.107-p.111 and handouts, and solve the exercises before class. Review after class. 190minutes
10. Area and volume Read through the textbook p.122-p.126 and handouts, and solve the exercises before class. Review after class. 190minutes
11. Definition of double integral and iterated integral Read through the textbook p.195-p.208 and handouts, and solve the exercises before class. Review after class. 190minutes
12. Exchange of the order of integration Read through the textbook p.195-p.208 and handouts, and solve the exercises before class. Review after class. 190minutes
13. Double integral in polar coordinates Read through the textbook p.208-p.211 and handouts, and solve the exercises before class. Review after class. 190minutes
14. Final examination and its explanation 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. 15% 10% 25%
2. 15% 10% 25%
3. 15% 10% 25%
4. 15% 10% 25%
Total. 30% 30% 40% -
Evaluation method and criteria
Midterm examination(30%), Final examination(30%), Reports and little examinations(40%)
60% if students can understand and solve exercises in the handouts
Textbooks and reference materials
Textbook: 工学系のための微分積分、黒川康宏、佐々木真二、廣瀬三平、山澤浩司、東京図書
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 applicable
N/A 該当しない
Education related SDGs:the Sustainable Development Goals
• 9.INDUSTRY, INNOVATION AND INFRASTRUCTURE