| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | AE-MT207B | | Compulsory | 2 | 3 | 3 |
|
| Level of Course Unit |
| First Cycle |
| Objectives of the Course |
| This course will only face-to-face training.
|
| Name of Lecturer(s) |
| Prof. Dr. Rabil AYAZOĞLU |
| Learning Outcomes |
| 1 | Will be able to explain the concept of sequence. Express the concepts of arithmetic sequence and geometric sequence. Explain the concept of monotonous and limited sequence. Explains the convergence of the sequence and calculates the limit of the sequence. Defines the Cauchy sequence and explains its examples. Will be able to explain the concept of sequence. | | 2 | Will be able to express the concept of series. Explains the concept of series with positive terms. It uses tests in character research of series with positive terms. It gives examples of alternating series and expresses the test used for its character. Explains the concept of power series. Will be able to express the concept of series | | 3 | will be able to explain the concept of function series. It expresses point and uniform convergence properties in function series. It refers to generalized convergence tests. Will be able to explain the concept of function series. | | 4 | Will be able to explain the concept of Taylor series. Expresses the concept of Taylor series. It exemplifies the applications of Taylor series in daily life. Will be able to explain the relationship between power series and Taylor series. | | 5 | Will be able to express the concept of Fourier series. Explains the concept of Fourier series. Examples applications of Fourier series. Will be able to express the concept of trigomometric series. |
|
| Mode of Delivery |
| Normal Education |
| Prerequisites and co-requisities |
| no |
| Recommended Optional Programme Components |
| no |
| Course Contents |
| This course will only face-to-face training.
|
| Weekly Detailed Course Contents |
|
| 1 | Sequence concept and applications | | | | 2 |
Serial concept | | | | 3 |
Series of positive terms: Convergence and divergence in series | | | | 4 |
Series of positive terms: Convergence and divergence in series | | | | 5 |
Convergence criteria for series | | | | 6 |
Alternating series | | | | 7 |
Power series | | | | 8 |
Midterm | | | | 9 |
Taylor series | | | | 10 |
Applications of Taylor series in daily life | | | | 11 |
Function series and series | | | | 12 |
Point and uniform convergence in function series and series | | | | 13 |
Generalized convergence tests | | | | 14 |
Fourier series | | | | 15 | Final Exam | | |
|
| Recommended or Required Reading |
|
| Planned Learning Activities and Teaching Methods |
|
| Assessment Methods and Criteria | |
| Midterm Examination | 1 | 100 | | SUM | 100 | |
| Final Examination | 1 | 100 | | SUM | 100 | | Term (or Year) Learning Activities | 40 | | End Of Term (or Year) Learning Activities | 60 | | SUM | 100 |
| | Language of Instruction | | Turkish | | Work Placement(s) | | no |
|
| Workload Calculation |
|
| Midterm Examination | 1 | 1 | 1 |
| Final Examination | 1 | 1 | 1 |
| Quiz | 1 | 14 | 14 |
| Attending Lectures | 11 | 1 | 11 |
| Report Preparation | 7 | 1 | 7 |
| Report Presentation | 7 | 1 | 7 |
| Self Study | 7 | 1 | 7 |
| Individual Study for Mid term Examination | 1 | 7 | 7 |
| Individual Study for Final Examination | 1 | 14 | 14 |
| Report | 7 | 1 | 7 |
| Individual Study for Quiz | 1 | 14 | 14 |
|
| Contribution of Learning Outcomes to Programme Outcomes |
|
| * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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