2018　Mathematics for Industrial Engineering and Economics

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Undergraduate major in Industrial Engineering and Economics
Instructor(s)
Mizuno Shinji  Mizutani Tomohiko
Course component(s)
Lecture
Day/Period(Room No.)
Tue5-6(W934)  Fri5-6(W934)
Group
-
Course number
IEE.A202
Credits
2
2018
Offered quarter
2Q
Syllabus updated
2018/4/12
Lecture notes updated
-
Language used
Japanese
Access Index

Course description and aims

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.

Student learning outcomes

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.

Keywords

Euclidean space, metric space, topological space, convergence of sequences, continuous functions, convex sets, convex functions

Competencies that will be developed

 ✔ Specialist skills Intercultural skills Communication skills Critical thinking skills ✔ Practical and/or problem-solving skills

Class flow

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

Course schedule Required learning
Class 1 Euclidean space Announced in classes.
Class 2 open and closed sets Announced in classes.
Class 3 Test level of understanding with exercise problems and summary of the　course. -　Solve exercise problems covering the contents of classes 1–2. Announced in classes.
Class 4 metric space Announced in classes.
Class 5 topological space Announced in classes.
Class 6 Test level of understanding with exercise problems and summary of the　course. -　Solve exercise problems covering the contents of classes 4-5. Announced in classes.
Class 7 convergence of sequences Announced in classes.
Class 8 continuous functions Announced in classes.
Class 9 Test level of understanding with exercise problems and summary of the　course. -　Solve exercise problems covering the contents of classes 7-8. Announced in classes.
Class 10 Cauchy sequence and subsequence Announced in classes.
Class 11 minimization of continuous functions Announced in classes.
Class 12 Test level of understanding with exercise problems and summary of the　course. -　Solve exercise problems covering the contents of classes 10-11. Announced in classes.
Class 13 convex sets Announced in classes.
Class 14 convex functions Announced in classes.
Class 15 Test level of understanding with exercise problems and summary of the　course. -　Solve exercise problems covering the contents of classes 13-14. Announced in classes.

Textbook(s)

KEIEIKOGAKU NO SURI I, Miyakawa, Mizuno, and Yajima, Asakura-Syoten, 2004.

None required

Assessment criteria and methods

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%).

Related courses

• IEE.A201 ： Basic Mathematics for Industrial Engineering and Economics
• IEE.A203 ： Mathematical Engineering

No prerequisites