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| Course Description |
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| Course Name |
: |
Mathematics For Physics II |
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| Course Code |
: |
FZ 238 |
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| Course Type |
: |
Compulsory |
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| Level of Course |
: |
First Cycle |
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| Year of Study |
: |
2 |
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| Course Semester |
: |
Spring (16 Weeks) |
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| ECTS |
: |
7 |
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| Name of Lecturer(s) |
: |
Prof.Dr. AYŞE POLATÖZ
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|
| Learning Outcomes of the Course |
: |
Defines the complex numbers, makes the four operations
define regions in the complex plane
define analytical function
Define and calculate the harmonic conjugate
take complex integral
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|
| Mode of Delivery |
: |
Face-to-Face |
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| Prerequisites and Co-Prerequisites |
: |
None |
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| Recommended Optional Programme Components |
: |
None |
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| Aim(s) of Course |
: |
As all applied sciences, build a bridge between courses equire the use of a high level and a heavier mathematics in the physics disciplines as well |
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| Course Contents |
: |
omplex analysis; Complex numbers, algebra of complex numbers
Complex plane and polar form of complex numbers
De Moivre formula, Euler formula
Region in complex plane, basic complex functions, mapping of complex functions
Analytical functions, derivative, limit and continuity,
Cauchy-Riemann equation, Harmonic functions.
İntegral in complex plane and series
Cauchy thaorem
Basic formulas for integral calculation, Cauchy integral formula
Series expansion of analytic functions
Residue theorem, techniques to calculate Residue and calculation of integrals |
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| Language of Instruction |
: |
Turkish |
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| Work Place |
: |
Lecture hall of faculty |
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Course Outline /Schedule (Weekly) Planned Learning Activities |
| Week | Subject | Student's Preliminary Work | Learning Activities and Teaching Methods |
|
1 |
Complex analysis; Complex numbers, algebra of complex numbers |
Study the relevant chapter in the book |
Lecture, discussion |
|
2 |
Complex plane and polar form of complex numbers |
Study the relevant chapter in the book |
Lecture, discussion |
|
3 |
De Moivre formula, Euler formula |
Study the relevant chapter in the book |
Lecture, discussion |
|
4 |
Region in complex plane, basic complex functions, mapping of complex functions |
Study the relevant chapter in the book |
Lecture, discussion |
|
5 |
Analytical functions, derivat,ve, limit and continuity |
Study the relevant chapter in the book |
Lecture, discussion |
|
6 |
Cauchy-Riemann equation, Harmonic functions. |
Study the relevant chapter in the book |
Lecture, discussion |
|
7 |
İntegral in complex plane and series |
Study the relevant chapter in the book |
Lecture, discussion |
|
8 |
Mid-term exam |
Mid-term exam |
Mid-term exam |
|
9 |
Cauchy thaorem |
Study the relevant chapter in the book |
Lecture, discussion |
|
10 |
Basic formulas for integral calculation, Cauchy integral formula |
Study the relevant chapter in the book |
Lecture, discussion |
|
11 |
Limits of some integrals, Jordan theorem, derivative of regular functions |
Study the relevant chapter in the book |
Lecture, discussion |
|
12 |
Series expansion of analytic functions |
Study the relevant chapter in the book |
Lecture, discussion |
|
13 |
Series expansion of analytic functions |
Study the relevant chapter in the book |
Lecture, discussion |
|
14 |
Residue theorem, techniques to calculate Residue and calculation of integrals |
Study the relevant chapter in the book |
Lecture, discussion |
|
15 |
Residue theorem, techniques to calculate Residue and calculation of integrals |
Study the relevant chapter in the book |
Lecture, discussion |
|
16/17 |
Final exam |
Final exam |
Final exam |
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Required Course Resources |
| Resource Type | Resource Name |
| Recommended Course Material(s) |
 Fizik ve Mühendislikte Matematik Yöntemler Bekir Karaoğlu 3. basım Güven Yayınları
Fizikte Matematik Metodları Coşkun Önem Birsen Yayınevi 1998
Fen ve Mühendislik Bilimlerinde Matematik Yöntemler, Selcuk Ş.Bayın ders Kitapları A.Ş. Ankara 2004
Complex Varables and Applications, Ruel V. Churchill and James Ward Brown, Fifth Edition, McGraw-Hill İnternational Editions
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| |
| Required Course Material(s) | |
|
|
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Assessment Methods and Assessment Criteria |
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Semester/Year Assessments |
Number |
Contribution Percentage |
|
Mid-term Exams (Written, Oral, etc.) |
2 |
80 |
|
Homeworks/Projects/Others |
14 |
20 |
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Total |
100 |
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Rate of Semester/Year Assessments to Success |
40 |
| |
|
Final Assessments
|
100 |
|
Rate of Final Assessments to Success
|
60 |
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Total |
100 |
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| Contribution of the Course to Key Learning Outcomes |
| # | Key Learning Outcome | Contribution* |
|
1 |
Have knowledge of a foreign language at least monitoring developments in the field of physics. |
0 |
|
2 |
Know the importance of individual development. |
1 |
|
3 |
Monitor the developments in the field of physics, learn and evaluate in terms of social ethics. |
1 |
|
4 |
Design experiments in the field of physics. |
0 |
|
5 |
Explain the basic concepts and principles in the field of physics. |
2 |
|
6 |
Evaluate the developmets in the field of Physics by using scientific methods and techniques. |
4 |
|
7 |
Combine the knowledge in the field of physics with the other scientific area. |
2 |
|
8 |
Identify problems in the field of physics and for the solutions apply the analytical and simulative methods. |
5 |
|
9 |
Explain the methods of producing scientific knowledge in the field of physics. |
1 |
|
10 |
Reach the Information in the field of physics, for the purpose of classification, and uses. |
1 |
|
11 |
Use the advanced theoretical and practical knowledge acquired in the field of physics. |
1 |
|
12 |
Inform the specialist or non-specialist groups, orally or in writing on issues related to physics. |
2 |
|
13 |
Use the information technologies in Physics area for their purpose. |
0 |
|
14 |
Take responsibility as a team or alone to overcome the problems encountered in the field of physics . |
0 |
|
15 |
Plan and manage the activities for the professional developments of emplyees under his/her responsibilities. |
2 |
|
16 |
Classify, use and critically evaluate the knowledg taken by his/her efforts. |
0 |
|
17 |
Know that learning process is life-long and acts accordingly. |
0 |
|
18 |
Both with colleagues, as well as off the field of builds relationships ethically use information, communication technologies. Define necessities in learning in scientific, social, cultural and artistic areas and improve himself/herself accordingly. |
0 |
| * Contribution levels are between 0 (not) and 5 (maximum). |
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| Student Workload - ECTS |
| Works | Number | Time (Hour) | Total Workload (Hour) |
| Course Related Works |
|
Class Time (Exam weeks are excluded) |
14 |
4 |
56 |
|
Out of Class Study (Preliminary Work, Practice) |
14 |
2 |
28 |
| Assesment Related Works |
|
Homeworks, Projects, Others |
14 |
6 |
84 |
|
Mid-term Exams (Written, Oral, etc.) |
2 |
2 |
4 |
|
Final Exam |
1 |
2 |
2 |
|
Total Workload: | 174 |
| Total Workload / 25 (h): | 6.96 |
| ECTS Credit: | 7 |
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