Course Information


Course Information
Course Title Code Semester L+U Hour Credits ECTS
ALGEBRA-II 801500715580 3 + 0 3.0 8.0

Prerequisites None

Language of Instruction Turkish
Course Level Graduate Degree
Course Type Compulsory
Mode of delivery Oral presentation, answer-question, discussion, solving problems
Course Coordinator
Instructors
Assistants
Goals Rings and Homomorphisms, Ideals, Factorization in commutative rings, Rings of Quotient and Localization, Rings of polynomials and formal power series, Factorization in polynomial rings, Modules, Homomorphism and exact sequences, Free modules and vector spaces, Projective and injective modules, Hom and duality, Tensor products, Modules over a PID, Algebras
Course Content Rings and Homomorphisms, Ideals, Factorization in commutative rings, Rings of Quotient and Localization, Rings of polynomials and formal power series, Factorization in polynomial rings, Modules, Homomorphism and exact sequences, Free modules and vector spaces, Projective and injective modules, Hom and duality, Tensor products, Modules over a PID, Algebras
Learning Outcomes 1) Learns rings and homomorphisms and ideals
2) Learns factorization in commutative rings and rings of quotient
3) Learns rings of polynomials and formal power series and factorization in polynomial rings.
4) Knows modules.
5) Learns algebras.

Weekly Topics (Content)
Week Topics Teaching and Learning Methods and Techniques Study Materials
1. Week Rings and Homomorphisms Lecture; Discussion

Problem Based Learning 		Homework
2. Week Rings and Homomorphisms, Ideals Lecture; Discussion

Problem Based Learning 		Homework
3. Week Factorization in commutative rings Lecture; Discussion

Problem Based Learning 		Homework
4. Week Factorization in commutative rings Lecture; Discussion

Problem Based Learning 		Homework
5. Week Rings of Quotient and Localization Lecture; Discussion

Problem Based Learning 		Homework
6. Week Rings of polynomials and formal power series Lecture; Discussion

Problem Based Learning 		Homework
7. Week Factorization in polynomial rings Lecture; Discussion

Problem Based Learning 		Homework
8. Week Modules, Homomorphism and exact sequences Lecture
Brainstorming
Project Based Learning 		Homework
9. Week Free modules and vector spaces Lecture; Discussion

Problem Based Learning 		Homework
10. Week Projective and injective modules Lecture; Discussion

Problem Based Learning 		Homework
11. Week Hom and duality Lecture; Problem Solving; Discussion

Problem Based Learning 		Homework
12. Week Tensor products Lecture; Problem Solving; Discussion

Problem Based Learning 		Homework
13. Week Modules over a PID Lecture; Discussion

Problem Based Learning 		Homework
14. Week Algebras Lecture; Problem Solving; Discussion

Problem Based Learning 		Homework

Sources Used in This Course
Recommended Sources
A First Course in Abstract Algebra, J.B. Fraleigh

Relations with Education Attainment Program Course Competencies
Program RequirementsContribution LevelDK1DK2DK3DK4DK5
PY1500000
PY2500000
PY3500000
PY4500000
PY4500000
PY4500000
PY4500000
PY4500000
PY4500000
PY4500000
PY4500000
PY4500000
PY4500000
PY4500000
PY4500000
PY4500000
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PY4500000

*DK = Course's Contrubution.
0 1 2 3 4 5
Level of contribution None Very Low Low Fair High Very High
.

ECTS credits and course workload
Event Quantity Duration (Hour) Total Workload (Hour)
Course Duration (Total weeks*Hours per week) 14 4
Homework 7 10
Midterm Exam 1 60
Final Exam 1 60
Total Workload
Total Workload / 30 (s)
ECTS Credit of the Course
Quick Access Hızlı Erişim Genişlet
Course Information
  • Course Information
  • Weekly Topics (Content)
  • Sources Used in This Course
  • Relations with Education Attainment Program Course Competencies
  • ECTS credits and course workload