| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | MT305B | Analysis III | Compulsory | 3 | 5 | 5 |
|
| Level of Course Unit |
| First Cycle |
| Objectives of the Course |
| Define concept of sequence, Learn positive term sequence, convrgent and divergent series, alternating series and power series, Consider the positionof pointwise and uniform convergence in series, Exxamine function series and pointwise-uniform convergence inseries, Learn generelized convergent tests, LearnTaylor series, Recognize Fourier series |
| Name of Lecturer(s) |
| Prof. Dr. Rabil AYAZOĞLU |
| Learning Outcomes |
| 1 | 1. define sequences, series and make applications directed towards these | | 2 | 2. define convergent and divergent series with learning types of series | | 3 | 3. make the applications of series in daily life | | 4 | 4. define pointwise and uniform convergence of series |
|
| Mode of Delivery |
| Normal Education |
| Prerequisites and co-requisities |
| None |
| Recommended Optional Programme Components |
| None |
| Course Contents |
| The concept of progression and its applications. The concept of series, positive-term series, remoteness and convergency in series, alternative series and the criteria of convergency related to the series and sub-series, power series. Function series, point and regular convergency in function series, updated convergency tests, Taylor series and their daily life applications. Fourier series |
| Weekly Detailed Course Contents |
|
| 1 | The concept of progression and its applications | | | | 2 | The concept of progression and its applications | | | | 3 | The concept of progression and its applications | | | | 4 | The concept of series, positive-term series | | | | 5 | Remoteness and convergency in series | | | | 6 | Remoteness and convergency in series | | | | 7 | Remoteness and convergency in series | | | | 8 | Alternative series and the criteria of convergency related to the series and sub-series | | | | 9 | midterm exam | | | | 10 | Power series | | | | 11 | Function series, point and regular convergency in function series | | | | 12 | Taylor series and their daily life applications | | | | 13 | Taylor series and their daily life applications | | | | 14 | Fourier series. | | | | 15 | Fourier series. | | | | 16 | Final exam | | |
|
| Recommended or Required Reading |
| 1. Musayev, B. 2003; Teoeri ve Çözümlü Problemlerle Analiz, Tekağaç Eylül, Kütahya
Recommended Reading:
2.Balcı, M. 2001; Çözümlü Matematik Analiz Problemleri, Balcı Yayınları, Ankara
|
| 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) | | None |
|
| Workload Calculation |
|
| Midterm Examination | 1 | 1 | 1 |
| Final Examination | 1 | 1 | 1 |
| Attending Lectures | 14 | 3 | 42 |
| Self Study | 14 | 2 | 28 |
| Individual Study for Mid term Examination | 7 | 6 | 42 |
| Individual Study for Final Examination | 6 | 6 | 36 |
|
| 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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