Hiroshima University Syllabus

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Japanese
Academic Year 2023Year School/Graduate School School of Science
Lecture Code HB020000 Subject Classification Specialized Education
Subject Name 代数学A
Subject Name
(Katakana)
ダイスウガクA
Subject Name in
English
Algebra A
Instructor SHIMADA ICHIROU
Instructor
(Katakana)
シマダ イチロウ
Campus Higashi-Hiroshima Semester/Term 3rd-Year,  First Semester,  1Term
Days, Periods, and Classrooms (1T) Tues5,Thur1-2:SCI E208, (1T) Tues6
Lesson Style Lecture Lesson Style
(More Details)
 
Mainly blackboard 
Credits 2.0 Class Hours/Week   Language of Instruction J : Japanese
Course Level 3 : Undergraduate High-Intermediate
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 Educational
Program
(Applicable only to targeted subjects for undergraduate students)
 
Criterion referenced
Evaluation
(Applicable only to targeted subjects for undergraduate students)
Mathematics
(Knowledge and Understanding)
・Understanding on primary theory of modern mathematics established on classical theory.
(Abilities and Skills)
・To acquire basic mathematical abilities (Ability to understand concepts, calculation ability, argumentation ability). 
Class Objectives
/Class Outline
We learn the theory of commutative rings. 
Class Schedule 0.Review of group theory
1.Review of group theory
2.Review of group theory
3: Definitions of rings and fields
4: Homomorphisms
5: Ideals
6: Homomorphism theorem
7: Polynomial rings
8: Exam
9: Factoring polynomials
10: PID
11: UFD
12: Modules
13:  Moduless over PID
14: Exam
 
Text/Reference
Books,etc.
Not specified 
PC or AV used in
Class,etc.
 
(More Details) Handouts 
Learning techniques to be incorporated  
Suggestions on
Preparation and
Review
Understand definitions and examine examples carefully 
Requirements  
Grading Method Mini-tests and Exams 
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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