CANKIRI KARATEKIN UNIVERSITY

Bologna Information System

Course Title | Code | Semester | Laboratory+Practice (Hour) | Pool | Type | ECTS |

ALGEBRA II | MAT304 | SPRING | 4+0 | C | 6 |

Learning Outcomes | 1-To give examples related to concept of ring properties 2-To explain concepts of subring, quotient ring and ideal 3-To explain between integral domain and field 4-To proove whether a ring is subring or ideal 5-To explain varieties of ideals. |

Activity | Percentage (100) | Number | Time (Hours) | Total Workload (hours) |

Course Duration (Weeks x Course Hours) | 14 | 4 | 56 | |

Classroom study (Pre-study, practice) | 14 | 5 | 70 | |

Assignments | 10 | 2 | 6 | 12 |

Short-Term Exams (exam + preparation) | 10 | 2 | 6 | 12 |

Midterm exams (exam + preparation) | 30 | 1 | 14 | 14 |

Project | 0 | 0 | 0 | 0 |

Laboratory | 0 | 0 | 0 | 0 |

Final exam (exam + preparation) | 50 | 1 | 14 | 14 |

Other | 0 | 0 | 0 | 0 |

Total Workload (hours) | 178 | |||

Total Workload (hours) / 30 (s) | 5,93 ---- (6) | |||

ECTS Credit | 6 |

Week | Topics | Study Metarials |

1 | Definition and Examples of ring | |

2 | Subrings | |

3 | Integral domains | |

4 | Characteristic of a ring | |

5 | Ideals and quotient rings | |

6 | Ideals and quotient rings | |

7 | Ideals and quotient rings | |

8 | Ideals and quotient rings | |

9 | Ring isomorphism | |

10 | Field of fractions of an integral domain and rational numbers | |

11 | Field of fractions of an integral domain and rational numbers | |

12 | Ordered integral domains | |

13 | Real numbers fields | |

14 | Complex numbers fields |

Prerequisites | ALGEBRA I |

Language of Instruction | Turkish |

Course Coordinator | Assist. Prof. Dr. Nihan BİRCAN |

Instructors | - |

Assistants | -- |

Resources | Soyut Cebir, Dursun TAŞÇI, Alp Yayınevi, Ankara, 2007 |

Supplementary Book | 1. Abstract Algebra, I. N. Herstein, John Wiley&Sons Inc., NY., 1996 2. Abstract Algebra, David S. Dummit, Richard M. Foote, Wiley, 2003 |

Document | Lecture Notes. |

Goals | Learning of the fundamental concepts of the ring and field theories |

Content | Ring, subring, ideals and quotient ring. Ring homomorphisms and isomorphisms. Integral domains and fields. |

Program Learning Outcomes | Level of Contribution | |

1 | To have a grasp of theoretical and applied knowledge in main fields of mathematics | 5 |

2 | To have the ability of abstract thinking | 4 |

3 | To be able to use the gained mathematical knowledge in the process of identifying the problem, analyzing and determining the solution steps | 5 |

4 | To be able to relate the gained mathematical acquisitions with different disciplines and apply in real life | 2 |

5 | To have the qualification of studying independently in a problem or a project requiring mathematical knowledge | 2 |

6 | To be able to work compatibly and effectively in national and international groups and take responsibility | - |

7 | To be able to consider the knowledge gained from different fields of mathematics with a critical approach and have the ability to improve the knowledge | 4 |

8 | To be able to determine what sort of knowledge the problem met requires and guide the process of learning this knowledge | 4 |

9 | To adopt the necessity of learning constantly by observing the improvement of scientific accumulation over time | 2 |

10 | To be able to transfer thoughts on issues related to mathematics, proposals for solutions to the problems to the expert and non-expert shareholders written and verbally | 4 |

11 | To be able to produce projects and arrange activities with awareness of social responsibility | - |

12 | To be able to follow publications in mathematics and exchange information with colleagues by mastering a foreign language at least European Language Portfolio B1 General Level | - |

13 | To be able to make use of the necessary computer softwares (at least European Computer Driving Licence Advanced Level), information and communication technologies for mathematical problem solving, transfer of thoughts and results | - |

14 | To have the awareness of acting compatible with social, scientific, cultural and ethical values | - |

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