This course studies basic mathematics for management sciences and economics. The contents include Euclidean space, metric space, topological space, convergence of sequences, continuous functions, convex sets, and convex functions.
Knowledge and ability through this course will help students to solve real problems in management sciences and economics.
By the end of this course, students will be able to:
1. Understand fundamental properties of Euclidean space and can solve application problems.
2. Understand fundamental properties of metric space and topological space, and can solve application problems.
3. Understand fundamental properties of convergence of sequences and continuous functions, and can solve application problems.
4. Understand fundamental properties of convex sets and convex functions, and can solve application problems.
Euclidean space, metric space, topological space, convergence of sequences, continuous functions, convex sets, convex functions
✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | ✔ Practical and/or problem-solving skills |
Attendance is taken in every class.
Students are required to read the text before coming to class.
Exercises are schedules after every two lecturers.
Course schedule | Required learning | |
---|---|---|
Class 1 | Euclidean space | Announced in classes. |
Class 2 | open and closed sets | Announced in classes. |
Class 3 | metric space | Announced in classes. |
Class 4 | Test level of understanding with exercise problems and summary of the course. - Solve exercise problems covering the contents of classes 1–3. | Announced in classes. |
Class 5 | topological space | Announced in classes. |
Class 6 | convergence of sequences | Announced in classes. |
Class 7 | continuous functions | Announced in classes. |
Class 8 | Test level of understanding with exercise problems and summary of the course. - Solve exercise problems covering the contents of classes 5-7. | Announced in classes. |
Class 9 | Cauchy sequence and sub-sequence | Announced in classes. |
Class 10 | minimization of continuous functions | Announced in classes. |
Class 11 | Test level of understanding with exercise problems and summary of the course. - Solve exercise problems covering the contents of classes 9-10. | Announced in classes. |
Class 12 | convex sets | Announced in classes. |
Class 13 | convex functions | Announced in classes. |
Class 14 | Test level of understanding with exercise problems and summary of the course. - Solve exercise problems covering the contents of classes 12-13. | Announced in classes. |
To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class.
They should do so by referring to textbooks and other course material.
KEIEIKOGAKU NO SURI I, Miyakawa, Mizuno, and Yajima, Asakura-Syoten, 2004.
None required
Students will be assessed on their understanding of Euclidean space, metric space, topological space, convergence of sequences, continuous functions, convex sets, and convex functions.
Students' course scores are based on midterm and final exams (70%) and exercise problems (30%).
No prerequisites