Course title
310030N31
Differential and Integral Calculus 1

 KAMEKO Masaki
Middle-level Diploma Policy (mDP)
Program / Major mDP Goals
Sports Engineering 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 objective of this course is to develop students’ mathematical way of thinking through a more systematic and rigorous study than that encountered in high school, and to provide them with the fundamental knowledge required for understanding important results and solving concrete problems in applications.
Course description
As calculus constitutes one of the most fundamental mathematical tools in systems engineering as well as in virtually all fields of science and technology, students are expected to acquire a solid understanding of the material presented in this course.
Goals and objectives
  1. Students will be able to evaluate the limits of sequences, series, and functions, and determine their convergence or divergence.
  2. Students will understand the definition of the derivative of a function of one variable, be able to compute derivatives of specific functions, and use differential calculus to investigate the properties of functions.
  3. Students will understand the definition of the integral of a single-variable function and be able to compute indefinite, definite, and improper integrals of elementary functions.
Relationship between 'Goals and Objectives' and 'Course Outcomes'

 Final Mid-term Quizzes Total.
1. 0% 0% 5% 5%
2. 10% 30% 15% 55%
3. 20% 0% 20% 40%
Total. 30% 30% 40% -
Evaluation method and criteria
Final 30%, mid-term 30% quizzes 40%, passing grade=60%
Language
Japanese
Class schedule

 Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. Limits, continuous functions Review of high school mathematics 200minutes
2. Derivatives, definitions Review of the previous class 200minutes
3. Derivatives, computational aspects Review of the previous class 200minutes
4. Higher derivatives Review of the previous class 200minutes
5. Mean value theorem Review of the previous class 200minutes
6. Taylor’ theorem Review of the previous class 200minutes
7. Mid-term examination and review Review of the previous class 200minutes
8. Indefinite integrals Review of the previous class 200minutes
9. Indefinite integrals, calculations Review of the previous class 200minutes
10. Indefinite integrals, calculations continue Review of the previous class 200minutes
11. Improper integrals Review of the previous class 200minutes
12. Area Review of the previous class 200minutes
13. Volume and length Review of the previous class 200minutes
14. Final examination and review 前回までの授業の復習 200minutes
Total. - - 2800minutes
Feedback on exams, assignments, etc.
ways of feedback specific contents about "Other"
Feedback in the class
Textbooks and reference materials
「例題で学ぶ微分積分学」（森北出版）阿部剛久・井戸川知之・古城知己・本澤直房共著
Prerequisites
Review of high school mathematics
Office hours and How to contact professors for questions
  • Before and after class (Students are also encouraged to make active use of the Learning Support Center.)
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
  • Course that cultivates an ability for utilizing knowledge
  • Course that cultivates a basic problem-solving skills
  • Non-social and professional independence development course
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 N/A
Education related SDGs:the Sustainable Development Goals
  • 4.QUALITY EDUCATION
  • 9.INDUSTRY, INNOVATION AND INFRASTRUCTURE
Last modified : Wed Jul 22 04:02:51 JST 2026