Course title
401052001
Differential and Integral Calculus 1
 YAMAZAWA Hiroshi HIROSE Sampei NAKAGAWA Takahiro HORIBE Tadashi
Course description
In this class, students learn the basic concepts and operations of one-variable functions. The first part deals with limits, derivatives, and extrema, and the second part deals with indefinite and definite integrals for various functions. Students also learn the basic properties of important functions such as polynomials, exponential functions, logarithmic functions, trigonometric functions, and inverse trigonometric functions.
Purpose of class
The purpose of this class is to understand the meaning of calculus of one-variable functions, and to be able to calculate them.
Goals and objectives
1. To be able to basic calculations on elementary functions.
2. To be able to understand the meaning of differentials and related operations, and calculate them.
3. To be able to understand the meaning of indefinite and definite integrals, and calculate them.
Language
Japanese
Class schedule

Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. Elementary functions Read through the textbook p.1-p.10 and handouts, and solve the exercises before class. Review after class. 190minutes
2. Limit of a function Read through the textbook p.15-p.23 and handouts, and solve the exercises before class. Review after class. 190minutes
3. Differential calculus 1 Read through the textbook p.25-p.32 and handouts, and solve the exercises before class. Review after class. 190minutes
4. Differential calculus 2 Read through the textbook p.32-p.37 and handouts, and solve the exercises before class. Review after class. 190minutes
5. Differential calculus 3 Read through the textbook p.37-p.44 and handouts, and solve the exercises before class. Review after class. 190minutes
6. Mean value theorem, extremum and convex upward/downward Read through the textbook p.47-p.51, p.60-p.63 and handouts, and solve the exercises before class. Review after class. 190minutes
7. Midterm examination and its explanation Preparation of midterm examination. 190minutes
8. Definite integral and fundamental theorem of calculus Read through the textbook p.67-p.78 and handouts, and solve the exercises before class. Review after class. 190minutes
9. Integral calculus 1 Read through the textbook p.81-p.87 and handouts, and solve the exercises before class. Review after class. 190minutes
10. Integral calculus 2 Read through the textbook p.87-p.90 and handouts, and solve the exercises before class. Review after class. 190minutes
11. Integral calculus 3 Read through the textbook p.91-p.94 and handouts, and solve the exercises before class. Review after class. 190minutes
12. Integral calculus 4 Read through the textbook p.95-p.104 and handouts, and solve the exercises before class. Review after class. 190minutes
13. Applications of calculus Read through the 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. 3% 5% 8%
2. 17% 25% 42%
3. 20% 30% 50%
Total. 20% 20% 60% -
Evaluation method and criteria
Midterm examination(20%), Final examination(20%), Reports and little examinations(60%)
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 high school mathematical contents
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
Most classes are 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