| Academic Year |
2024Year |
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 |
NAITO YUKI |
Instructor
(Katakana) |
ナイトウ ユウキ |
| 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) |
|
| Lectures on the blackboard |
| Credits |
2.0 |
Class Hours/Week |
|
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, symbols for logic, truth table
Lesson2 Equivalent proposition, propositional laws of ``and" and ``or"
Lesson3 Converse, inverse and contraposition of proposition
Lesson4 Universal proposition and existential proposition
Lesson5 Tortology, negation of universal proposition and existential proposition
Lesson6 Notation for sets, equality of two sets, inclusion relation
Lesson7 Empty set, finite set and infinite set, intersection and union of sets, difference set and complement of a set
Lesson8 Mid-term examination
Lesson9 Direct product of sets, power set, equivalence relation and representative element
Lesson10 Quotient set, ordered set, mathematical induction
Lesson11 Function and mapping, equality of two functions (two mappings)
Lesson12 Image and inverse image
Lesson13 Injectivity and surjectivity of a mapping, inverse mapping
Lesson14 Composition of mappings, restriction of a mapping, identity mapping, quotient mapping
Lesson15 Cardinality of sets, countable set and uncountable set
Final lesson : Final examination
The proposed plan of the course may be changed in order for the students to deepen their understanding. |
Text/Reference
Books,etc. |
Textbook:Go-o Ishikawa, ``Ronri, Shugo, Suugakugo", Kyoritsu Shuppan, 2015. |
PC or AV used in
Class,etc. |
|
| (More Details) |
I will hand out some documentations if necessary. |
| Learning techniques to be incorporated |
|
Suggestions on
Preparation and
Review |
Lesson 1--Lesson 15 Review is necessary. |
| Requirements |
|
| Grading Method |
Midterm examination and Final examination.
If I assign some quizes, these scores are also considered. |
| 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. |