NCHU Course Outline
Course Name (中) 代數學(一)(2165)
(Eng.) Algebra(I)
Offering Dept Department of Applied Mathematics
Course Type Required Credits 3 Teacher 郭容妙
Department Department of Applied Mathematics / Undergraduate Language Chinese 英文/EMI Semester 2025-SPRING
Course Description 本課程將介紹群及環的代數結構,題材較抽象,會有較多證明的訓練。
Prerequisites
self-directed learning in the course Y
Relevance of Course Objectives and Core Learning Outcomes(%) Teaching and Assessment Methods for Course Objectives
Course Objectives Competency Indicators Ratio(%) Teaching Methods Assessment Methods
培養學生欣賞抽象數學的能力。
2.Professional Knowledge in Mathematical Analysis
8.English Language Ability
90
10
Lecturing
Quiz
Course Content and Homework/Schedule/Tests Schedule
Week Course Content
Week 1 Integers modulo n and an application to cryptograpghy
Week 2 Permutations
Week 3 Groups
Week 4 Groups
Week 5 Subgroups
Week 6 Cyclic groups and the order of an element
Week 7 Spring break
Week 8 Cyclic groups and the order of an element
Week 9 Homomorphisms and isomorphisms
Week 10 Homomorphisms and isomorphisms
Week 11 Cosets and Lagrange’s theorem
Week 12 Normal subgroups
Week 13 Factor groups
Week 14 The isomorphism theorem
Week 15 Rings
Week 16 Rings
Week 17 Final Exam Week
Week 18 Discussion on exam questions
Evaluation
Presentation 10%
Midterm Exam 40%
Final Exam Part I 30%
Final Exam Part II 20%
Textbook & other References
Introduction to Abstract Algebra, Nicholson
Teaching Aids & Teacher's Website

Office Hours
Tuesday 12:00-14:00
Wednesday 12:00-14:00
Sustainable Development Goals, SDGs(Link URL)
include experience courses:N
Please respect the intellectual property rights and use the materials legally.Please respect gender equality.
Update Date, year/month/day:2025/01/15 11:46:53 Printed Date, year/month/day:2025 / 5 / 10
The second-hand book website:http://www.myub.com.tw/