INTERNATIONAL TRADE AND BUSINESS | |||||
Bachelor | TR-NQF-HE: Level 6 | QF-EHEA: First Cycle | EQF-LLL: Level 6 |
Course Code | Course Name | Semester | Theoretical | Practical | Credit | ECTS |
MAT4051 | Advanced Complex Analysis | Spring Fall |
3 | 0 | 3 | 6 |
This catalog is for information purposes. Course status is determined by the relevant department at the beginning of semester. |
Language of instruction: | English |
Type of course: | Non-Departmental Elective |
Course Level: | Bachelor’s Degree (First Cycle) |
Mode of Delivery: | Face to face |
Course Coordinator : | |
Recommended Optional Program Components: | There is none. |
Course Objectives: | To study advanced studies and applications in the theory of functions of a complex variable. |
The students who have succeeded in this course; Grap residue theorem and its applications in evaluation of reel integrals Explain general principles of theory of conformal mappings. Grab Laplace and Fourier Transforms. |
Concept of Residue, Residue Theorem. Applications of Residue Theorem to Real Integrals. Argument Principle, Rouche and Hurwitz Theorems. Infınıte Products, Weierstrass Formula. Representation Entire and Meromorphic Functions as an Infınıte Product, Mittag-Leffler Formula. Concept of Analytic Continuity, Analytic Continuity of an Analytic Function. Weierstrass Method of Analytic Continuity. General Principle of Conformal Mappings. Riemann Mapping Theorem. Riemann-Schwarz Symmetry Principle, Christoffel-Schwarz Formula. Functions Denoted by Cauchy Kernel. Regularity of an Integral Depending on a Parameter. Laplace Transform. Fourier Transform. |
Week | Subject | Related Preparation |
1) | Concept of Residue, Residue Theorem. | |
2) | Applications of Residue Theorem to Real Integrals. | |
3) | Argument Principle, Rouche and Hurwitz Theorems. | |
4) | Infınıte Products, Weierstrass Formula. | |
5) | Representation Entire and Meromorphic Functions as an Infınıte Product, Mittag-Leffler Formula. | |
6) | Concept of Analytic Continuity, Analytic Continuity of an Analytic Function. | |
7) | Weierstrass Method of Analytic Continuity. | |
8) | General Principle of Conformal Mappings. | |
9) | Riemann Mapping Theorem. | |
10) | Riemann-Schwarz Symmetry Principle, Christoffel-Schwarz Formula. | |
11) | Functions Denoted by Cauchy Kernel. | |
12) | Regularity of an Integral Depending on a Parameter. | |
13) | Laplace Transform. | |
14) | Fourier Transform. |
Course Notes / Textbooks: | A.I. Markushevich “Theory of Functions of a Complex Variable” Ruel V. Churchill, James Ward Brown, “Complex variables and applications” |
References: | . |
Semester Requirements | Number of Activities | Level of Contribution |
Attendance | 16 | % 0 |
Homework Assignments | 7 | % 10 |
Midterms | 2 | % 50 |
Final | 1 | % 40 |
Total | % 100 | |
PERCENTAGE OF SEMESTER WORK | % 60 | |
PERCENTAGE OF FINAL WORK | % 40 | |
Total | % 100 |
Activities | Number of Activities | Duration (Hours) | Workload |
Course Hours | 14 | 3 | 42 |
Study Hours Out of Class | 14 | 2 | 28 |
Homework Assignments | 7 | 2 | 14 |
Midterms | 2 | 10 | 20 |
Final | 1 | 21 | 21 |
Total Workload | 125 |
No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
Program Outcomes | Level of Contribution | |
1) | Has theoretical and practical knowledge on management, business, trade, economy, entrepreneurship, innovation, sustainable development related to International Trade and Business and can use this information | |
2) | Can collect data from different sources in the global business world and successfully apply research techniques, use information and communication technologies. | |
3) | Can analyze opportunities and threats with strategic thinking skills by using different resources and channels in the ever-changing global business world. | |
4) | Can communicate orally and in writing with a good knowledge of English grammar. | |
5) | He / she can transfer the knowledge and skills he / she has acquired in the field to the relevant people in written and oral form and evaluate them critically. | |
6) | Adopts the principles of business ethics with the awareness of professional responsibility and can apply these principles within the framework of legal rules in the field of global trade and business. | |
7) | He / she can collaborate in and out of the field, take responsibility, respect cultural differences and have ethical values. | |
8) | Has sufficient awareness of social rights, justice, cultural values, environmental awareness, occupational health and safety. | |
9) | With the lifelong learning skill acquired, she/he can identify learning needs and improve herself/himself |