Course title
3100300V1
Differential and Integral Calculus 1

 ENOMOTO Yuko
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 be able to compute the derivative and the integral. Moreover, student will understand its application.
Course description
This is a course on calculus. Student will learn concepts in calculus including limit, derivative and integral.
Goals and objectives
  1. To be able to compute of the limit
  2. To understand the definition of continuous function and to be able to check the continuity of functions
  3. To be able to compute the derivative and to understand its application
  4. To be able to compute the integral and to understand its application
Relationship between 'Goals and Objectives' and 'Course Outcomes'

 Examination otherwise Total.
1. 15% 5% 20%
2. 10% 5% 15%
3. 20% 10% 30%
4. 35% 0% 35%
Total. 80% 20% -
Evaluation method and criteria
Examination and reports
Language
Japanese
Class schedule

 Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. Limits of sequences and series Review of the high school mathematics 200minutes
2. Limits and continuity of functions Review of a previous lecture 200minutes
3. Definition of continuous functions and their properties Review of a previous lecture 200minutes
4. Definition and calculation rules of differentiation Review of a previous lecture 200minutes
5. Derivatives of Inverse Trigonometric Functions Review of a previous lecture 200minutes
6. Higher order derivative Review of a previous lecture 200minutes
7. Midterm exam Review of a previous lecture 200minutes
8. Mean value theorem and L’Hopital’s rule Review of a previous lecture 200minutes
9. Taylor’s theorem Review of a previous lecture 200minutes
10. Indefinite integral Review of a previous lecture 200minutes
11. Integration of rational, irrational, and trigonometric functions Review of a previous lecture 200minutes
12. Definition of a definite integral and the Fundamental Theorem of Calculus Review of a previous lecture 200minutes
13. Improper integral 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 Apr 04 04:01:53 JST 2026