This course aims to enable students to understand basic mathematical tools widely applicable to construct models in economic and management situations. The topics include propositional logic, mapping and correspondence, equivalence relation, maximum and minimum.
Knowledge and ability through this course will help students to deal with real problems in management sciences and economics.
At the end of this course, students will be able to:
Understand fundamental properties of propositional logic,
Understand fundamental properties of mapping and correspondence,
Understand fundamental properties of equivalence relation,
Understand fundamental properties of maximum and minimum.
propositional logic, mapping and correspondence, equivalence relation, maximum and minimum
|Intercultural skills||Communication skills||Specialist skills||Critical thinking skills||Practical and/or problem-solving skills|
This class will be held in lecture form. If time allows, some exercise problems will be explained.
|Course schedule||Required learning|
|Class 1||Logical operators||Details will be given in each lecture.|
|Class 2||propositional logic|
|Class 3||propositional function|
|Class 5||sets and subsets|
|Class 6||set operations|
|Class 7||mapping and correspondence|
|Class 8||surjection and injection|
|Class 10||family of sets|
|Class 11||equivalence relation|
|Class 12||equivalence class|
|Class 13||order relation|
|Class 14||maximum and minimum|
|Class 15||summary of the lecture|
M. Miyakawa, S. Mizuno, and Y. Yajima,``Mathematics for industrial engineering,'' Asakura Publishing Co., Ltd., 2004.
Midterm and final exams 70%, exercise problems 30%.
No prerequisites are necessary, but enrollment in related courses is desirable.