| Academic Year |
2026Year |
School/Graduate School |
School of Science |
| Lecture Code |
H0000000 |
Subject Classification |
Specialized Education |
| Subject Name |
数学概説 |
Subject Name
（Katakana） |
スウガクガイセツ |
Subject Name in
English |
Introduction to Mathematics |
| Instructor |
FUJIMORI SHOICHI |
Instructor
(Katakana) |
フジモリ ショウイチ |
| Campus |
Higashi-Hiroshima |
Semester/Term |
1st-Year, First Semester, 1Term |
| Days, Periods, and Classrooms |
(1T) Mon9-10,Weds9-10：SCI E002 AV |
| Lesson Style |
Lecture |
Lesson Style
(More Details) |
Face-to-face |
| Lectures on the blackboard |
| 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 |
Freshman (1st year) students |
| Keywords |
Logic, sets, functions and mappings |
| Special Subject for Teacher Education |
|
Special Subject |
|
Class Status
within Educational
Program
(Applicable only to targeted subjects for undergraduate students) | |
|---|
Criterion referenced
Evaluation
(Applicable only to targeted subjects for undergraduate students) | |
|---|
Class Objectives
/Class Outline |
This course, Introduction to Mathematics, is provided for understanding the basic mathematics, such as logic, sets, functions and mappings. |
| Class Schedule |
Lesson1 Proposition
Lesson2 Logic
Lesson3 Universal proposition, existential proposition
Lesson4 Set
Lesson5 de Morgan's laws
Lesson6 Product set, power set, family of sets
Lesson7 Equivalence relation, quotient set
Lesson8 Map
Lesson9 Injection, surjection
Lesson10 Inverse map
Lesson11 Cardinality of a set
Lesson12 Cardinality of the continuum
Lesson13 Applications of Bernstein's Theorem
Lesson14 Axiom of choice
Lesson15 Summary
Final lesson : Final examination
Final exam will be administered. Additionally, a quiz will be given in each class. |
Text/Reference
Books,etc. |
Textbook:
Not used
Reference book:
Toshio Suzuki, “Reidai de manabu ronri to shugo”, (Morikita Shuppan)
Go-o Ishikawa, “Ronri, Shugo, Sugakugo”, (Kyoritsu Shuppan)
Masaaki Umehara and Shunsuke Ichiki, “Naive set theory and general topology”, (Shokabo) |
PC or AV used in
Class,etc. |
Text, Handouts, moodle |
| (More Details) |
Lecture handouts will be distributed. |
| Learning techniques to be incorporated |
Quizzes/ Quiz format |
Suggestions on
Preparation and
Review |
Review the material covered in each class by referring to the lecture handouts and reference books. |
| Requirements |
|
| Grading Method |
Grades will be determined by combining the final exam score with the scores from quizzes administered during lectures. |
| 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. |