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During course registration periods in particular, excessive requests within a short period of time may place a significant load on the system and affect the availability of services for other users.
We appreciate your cooperation in maintaining a secure and stable computing environment.
If such activity is identified, the University may take appropriate measures, including access restrictions or the disabling of the relevant functionality.
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CALCULUS
| Subtitle | Mathematics for understanding development of economics |
|---|---|
| Lecturer(s) | MIZUSAWA, ATSUHIKO |
| Credit(s) | 2 |
| Academic Year/Semester | 2026 Fall |
| Day/Period | Thu.3 |
| Campus | Hiyoshi |
| Class Format | Face-to-face classes (conducted mainly in-person) |
| Registration Number | 05745 |
| Faculty/Graduate School | ECONOMICS |
| Department/Major | ECONOMICS Type A, B |
| Year Level | 1 |
| Class Specification | 06, 18 |
| Field | FOUNDATION |
| Grade Type | This item will appear when you log in (Keio ID required). |
| Course Description | This course prepares students for the in-depth study of economics in their third and fourth years by developing the skills necessary for a deeper understanding of the discipline. Particular emphasis is placed on mathematical and deductive methods. |
| K-Number | FEC-EC-1311A-211-12 |
| Course Administrator | Faculty/Graduate School | FEC | ECONOMICS |
|---|---|---|---|
| Department/Major | EC | ECONOMICS | |
| Main Course Number | Level | 1 | First-year level coursework |
| Major Classification | 3 | Foudation Course / Major Subjects Course - Introductory Subject | |
| Minor Classification | 11 | Foundational Course - Calculus | |
| Subject Type | A | Type A individual setting by undergraduate/graduate school | |
| Supplemental Course Information | Class Classification | 2 | Lecture |
| Class Format | 1 | Face-to-face classes (conducted mainly in-person) | |
| Language of Instruction | 1 | Japanese | |
| Academic Discipline | 12 | Analysis, applied mathematics, and related fields | |
Course Contents/Objectives/Teaching Method/Intended Learning Outcome
The students will learn partial differential calculus of functions of two variables, the extreme value problem and integration of functions of one and two variables. The knowledge in the course "Introduction to Calculus" in the spring semester will be required for taking this course. Exercises will be held in the lecture to deepen the understanding of the lecture content. The content and order of lectures may differ slightly from the description of the syllabus.
Course Taught by Faculty Member with Professional Experience
Not applicable
Active Learning MethodsDescription
Not applicable
Preparatory Study
To understand the lectures, students need to prepare and review according to their ability.
Course Plan
Lesson 1
Limits and continuity of two variable functions
Lesson 2
Partial differentiation
Lesson 3
Tangent spaces and the chain rule
Lesson 4
Higher partial derivatives
Lesson 5
The extreme value problem (1)
Lesson 6
The extreme value problem (2)
Lesson 7
The extreme value problem with constraint conditions (1)
Lesson 8
The extreme value problem with constraint conditions (2)
Lesson 9
Integration and the indefinite integral
Lesson 10
Integration of continuous functions
Lesson 11
Formulae of indefinite integrals (1)
Lesson 12
Formulae of indefinite integrals (2)
Lesson 13
Formulae of definite integrals
Lesson 14
Improper integrals
Other
Summary and the final examination
Method of Evaluation
Grades will be evaluated based on examinations and class participation (attendance, behavior, class assignments, etc.).
Generative AI Policy for Classes
In this course, emphasis is placed on students' own thinking and expressive abilities.
Therefore, the use of generative Al is, in principle, prohibited for solving report assignments. If Al use is discovered, the work may be excluded from evaluation or treated as academic misconduct and subject to disciplinary measures. If you are unsure about what is permitted, please consult the lecturer in advance.
Therefore, the use of generative Al is, in principle, prohibited for solving report assignments. If Al use is discovered, the work may be excluded from evaluation or treated as academic misconduct and subject to disciplinary measures. If you are unsure about what is permitted, please consult the lecturer in advance.
Textbooks
Follow the instructions of the lecturer.
Reference Books
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Lecturer's Comments to Students
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