52004001 The world of mathematics

Hiroshima University Syllabus

Japanese

Academic Year 2025Year School/Graduate School Liberal Arts Education Program

Lecture Code 52004001 Subject Classification Area Courses

Subject Name 数学の世界［旧パッケージ］

Subject Name
（Katakana）スウガクノセカイ

Subject Name in
English The world of mathematics

Instructor HASHIMOTO SHINTARO

Instructor
(Katakana) ハシモト　シンタロウ

Campus Higashi-Hiroshima Semester/Term 1st-Year, Second Semester, 3Term

Days, Periods, and Classrooms (3T) Mon5-8：IAS K204

Lesson Style Lecture Lesson Style
(More Details) Face-to-face

Lecture-oriented class

Credits 2.0 Class Hours/Week 4 Language of Instruction J : Japanese

Course Level 1 : Undergraduate Introductory

Course Area（Area） 25 : Science and Technology

Course Area（Discipline） 01 : Mathematics/Statistics

Eligible Students

Keywords

Special Subject for Teacher Education 　 Special Subject 　

Class Status within
Liberal Arts Education Area Courses（Courses in Natural Sciences)　Category：Mathematics / Informatics
*Students who got admitted in 2018 or after can take this course as an “Area Course”. For this group of students, credits from this course will be regarded as credits from an “Area Course”.
If students who got admitted in 2017 or before take this course, it is regarded as a “Package-Based Subject”. The latter group of students cannot take this course as an “Area Course”.
Expected Outcome 1. To be able to explain the formation and development processes and contemporary issues of each academic discipline.
2. To be able to explain historical and contemporary issues that span multiple academic disciplines from multifaceted perspectives.

Class Objectives
/Class Outline The aim of classes is to give an introduction to statistical inference and their applications.

Class Schedule [An Example of Class Schedule]
lesson1: Probability
lesson2: Random variable
lesson3: Expectation
lesson4: Discrete probability distributions
lesson5: Continuous probability distributions
lesson6: Continuous probability distributions
lesson7: Multivariate probability distributions
lesson8: Exam
lesson9: Multivariate normal distribution
lesson10: Random sampling
lesson11: Sampling distributions
lesson12: Limit theorems
lesson13: Point Estimation
lesson14: Interval estimation
lesson15: Other topics

Exams

Text/Reference
Books,etc. N/A

PC or AV used in
Class,etc.

(More Details) (PC)

Learning techniques to be incorporated

Suggestions on
Preparation and
Review Prepare and review as needed.

Requirements

Grading Method The grade will be based on the final examination and/or assignments.

Practical Experience

Summary of Practical Experience and Class Contents based on it

Message

Other

Please fill in the class improvement questionnaire which is carried out on all classes.
Instructors will reflect on your feedback and utilize the information for improving their teaching.

Academic Year	2025Year	School/Graduate School	Liberal Arts Education Program
Lecture Code	52004001	Subject Classification	Area Courses
Subject Name	数学の世界［旧パッケージ］
Subject Name （Katakana）	スウガクノセカイ
Subject Name in English	The world of mathematics
Instructor	HASHIMOTO SHINTARO
Instructor (Katakana)	ハシモト　シンタロウ
Campus	Higashi-Hiroshima	Semester/Term	1st-Year, Second Semester, 3Term
Days, Periods, and Classrooms	(3T) Mon5-8：IAS K204
Lesson Style	Lecture	Lesson Style (More Details)	Face-to-face
Lecture-oriented class
Credits	2.0	Class Hours/Week	4	Language of Instruction	J : Japanese
Course Level	1 : Undergraduate Introductory
Course Area（Area）	25 : Science and Technology
Course Area（Discipline）	01 : Mathematics/Statistics
Eligible Students
Keywords
Special Subject for Teacher Education		Special Subject
Class Status within Liberal Arts Education	Area Courses（Courses in Natural Sciences)　Category：Mathematics / Informatics *Students who got admitted in 2018 or after can take this course as an “Area Course”. For this group of students, credits from this course will be regarded as credits from an “Area Course”. If students who got admitted in 2017 or before take this course, it is regarded as a “Package-Based Subject”. The latter group of students cannot take this course as an “Area Course”.
Expected Outcome	1. To be able to explain the formation and development processes and contemporary issues of each academic discipline. 2. To be able to explain historical and contemporary issues that span multiple academic disciplines from multifaceted perspectives.
Class Objectives /Class Outline	The aim of classes is to give an introduction to statistical inference and their applications.
Class Schedule	[An Example of Class Schedule] lesson1: Probability lesson2: Random variable lesson3: Expectation lesson4: Discrete probability distributions lesson5: Continuous probability distributions lesson6: Continuous probability distributions lesson7: Multivariate probability distributions lesson8: Exam lesson9: Multivariate normal distribution lesson10: Random sampling lesson11: Sampling distributions lesson12: Limit theorems lesson13: Point Estimation lesson14: Interval estimation lesson15: Other topics Exams
Text/Reference Books,etc.	N/A
PC or AV used in Class,etc.
(More Details)	(PC)
Learning techniques to be incorporated
Suggestions on Preparation and Review	Prepare and review as needed.
Requirements
Grading Method	The grade will be based on the final examination and/or assignments.
Practical Experience
Summary of Practical Experience and Class Contents based on it
Message
Other
Please fill in the class improvement questionnaire which is carried out on all classes. Instructors will reflect on your feedback and utilize the information for improving their teaching.

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