BUSINESS ADMINISTRATION (TURKISH) | |||||
Associate | TR-NQF-HE: Level 5 | QF-EHEA: Short Cycle | EQF-LLL: Level 5 |
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: | Associate (Short 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) | He/she applies theoretical business management knowledge on business life. | |
2) | He/she uses business management function and applies and follows new management technics. | |
3) | He/she performs legal responsibilities of business, follows and applies legislation. | |
4) | He/she can use information and communication tecnologies that necessary for their area, follows technological change and applies new technologies to business system. | |
5) | He/she determines, analyses and solves problems that appear in vocational applications. | |
6) | He/she manages business finance, analyses business financial situation, and solves financial problems. | |
7) | He/she gains management skill by managing and enhanging human resource effectively in accordance with business aims. | |
8) | He/she can understand production and marketing functions as a whole, applies new production and marketing techniques. | |
9) | He/she calculates cost, makes entry, prepares and interprets financial statements. | |
10) | He/she has vocational ethical value that market needs in qualified staff, can use Turkish effectively in writing and speaking communication; have proficiency in foreign language knowledge to making international correspond. | |
11) | He/she follows and applies vocational current and economic developments in national and international area. | 2 |