Course Programs

2024

Seminar in Mathematics for Statistics Ⅱ

Code:G2B55102 / Instructor:YABE Ryota

Course Description

Following a circle reading format, students learn the mathematics necessary to understand advanced statistical theories. In circle reading, the person in charge of the presentation studies a pre-assigned section in advance and gives a presentation. The content of the presentation is then discussed and learned by the students. Through the circle reading, students will not only learn mathematical content but also basic knowledge needed for various activities, such as interpreting texts and methods of preparing for presentatio

Keywords

group work, economics, mathematics, microeconomics, macroeconomics, quantitative economics

Course Plan

Session 1: Orientation
Session 2: Preparation and presentation; assigning students in charge of presenting
Session 3: Chapter 1—Definition of and operations on sets
Session 4: Chapter 1—The universal set
Session 5: Short test 1 and Chapter 2—Mapping
Session 6: Chapter 2—Surjective mapping, injective mapping, and composite mapping
Session 7: Chapter 2—Set systems and set families
Session 8: Chapter 2—Binary relations
Session 9: Chapter 2—Quotient sets and well-definedness; Short test 2
Session 10: Chapter 2—Quotient sets and well-definedness (continued)
Session 11: Chapter 3—Concentration
Session 12: Chapter 3—Bernstein’s theorem
Session 13: Chapter 3—Well-ordered sets
Session 14: Chapter 3—Axiom of choice
Session 15: Chapter 3—Axiom of choice (continued); Short test 3