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Course Information

Course's Contribution to Prog.

ECTS- Workload Calculation Tool

Program Information

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

Complex Analysis I | MATH301 | FALL | 4+0 | C | 7 |

Learning Outcomes | 1-To do algebraic operations related to complex numbers. 2-To do algebraic operations related to complex numbers. 3-To do certain geometric operations in complex space. 4-To do certain geometric operations in complex space. 5-To apply theorems related to sequences and cauchy sequences. 6-To apply theorems related to sequences and cauchy sequences. 7-To explain the concepts functions and transformations in complex space. 8-o explain the concepts functions and transformations in complex space. |

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

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

Classroom study (Pre-study, practice) | 14 | 8 | 112 | |

Assignments | 10 | 1 | 8 | 8 |

Short-Term Exams (exam + preparation) | 10 | 1 | 8 | 8 |

Midterm exams (exam + preparation) | 30 | 1 | 12 | 12 |

Project | 0 | 0 | 0 | 0 |

Laboratory | 0 | 0 | 0 | 0 |

Final exam (exam + preparation) | 50 | 1 | 16 | 16 |

0 | 0 | 0 | 0 | |

Total Workload (hours) | 212 | |||

Total Workload (hours) / 30 (s) | 7,07 ---- (7) | |||

ECTS Credit | 7 |

Week | Topics | Study Metarials |

1 | Introduction to complex numbers and basic operations | |

2 | Introduction to complex numbers and basic operations | |

3 | Construction of complex numbers and certain geometric properties | |

4 | Construction of complex numbers and certain geometric properties | |

5 | Certain algebraic operations in complex plane | |

6 | Certain algebraic operations in complex plane | |

7 | Topologic operations in complex plane | |

8 | Midterm exams | |

9 | Topologic operations in complex plane | |

10 | Sequences in complex plane, related definitions, theorems and applications | |

11 | Sequences in complex plane, related definitions, theorems and applications | |

12 | Cauchy sequences in complex plane, related definitions, theorems and applications | |

13 | Cauchy sequences in complex plane, related definitions, theorems and applications | |

14 | Certain functions in the complex plane and some applications | |

15 | Certain transformations in the complex plane and some applications |

Prerequisites | - |

Language of Instruction | - |

Coordinator | - |

Instructors | - |

Assistants | - |

Resources | - |

Supplementary Book | - |

Goals | - |

Content | - |

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 | 3 |

5 | To have the qualification of studying independently in a problem or a project requiring mathematical knowledge | 4 |

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 | - |

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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