Faculty Of Engıneerıng
Electrıcal And Electronıcs Engıneerıng (Englısh)
Course Information
| COMPLEX CALCULUS | |||||
|---|---|---|---|---|---|
| Code | Semester | Theoretical | Practice | National Credit | ECTS Credit |
| Hour / Week | |||||
| MAT205 | Fall | 3 | 0 | 3 | 4 |
| Prerequisites and co-requisites | |
|---|---|
| Language of instruction | English |
| Type | Required |
| Level of Course | Bachelor's |
| Lecturer | Asst. Prof. Çağdaş ALLAHVERDİ |
| Mode of Delivery | Face to Face |
| Suggested Subject | |
| Professional practise ( internship ) | None |
| Objectives of the Course | Prepare students to be able to learn, understand, explain and use complex operation and thus help their engineering studies. |
| Contents of the Course | Definition of complex numbers, Fundamental operations including complex numbers (Four basic operations, roots etc.), Use complex numbers in AC circuits (Phasor algebra), Complex derivatives and complex limits, Complex integrals, Fourier transformations, Conformal mapping. |
Learning Outcomes of Course
| # | Learning Outcomes |
|---|---|
| 1 | Ability to apply mathematics, science and engineering knowledge and experience to real world problems. |
| 2 | Ability to design and execute experiments and analyze the results. |
| 3 | Ability to identify engineering problems and suggest solutions. |
| 4 | Ability to communicate, express himself freely and develop new ideas. |
Course Syllabus
| # | Subjects | Teaching Methods and Technics |
|---|---|---|
| 1 | Definition of complex numbers and terminology in complex analysis | Lecture |
| 2 | Fundamental operations with complex numbers | Lecture |
| 3 | Complex derivatives | Lecture |
| 4 | Complex limits | Lecture |
| 5 | Complex integrals and their classification | Lecture |
| 6 | Cauchy theorem and its applications | Lecture |
| 7 | Solving complex integrals using Residue theorems | Lecture |
| 8 | Midterm Exam | |
| 9 | Fourier transformations | Lecture |
| 10 | Solving Fourier integrals using Residue theorems | Lecture |
| 11 | Complex series | Lecture |
| 12 | Definition of conformal mapping | Lecture |
| 13 | Electrostatic applications of conformal mapping | Lecture |
| 14 | Other applications of conformal mapping | Lecture |
| 15 | Review | |
| 16 | Final Exam |
Course Syllabus
| # | Material / Resources | Information About Resources | Reference / Recommended Resources |
|---|---|---|---|
| 1 | Murray Spiegel, Seymour Lipschutz, John Schiller, Dennis Speilman, Complex Variables, 2nd Edition, Schaum's Outlines, ISBN-13: 978-0071615693. |
Method of Assessment
| # | Weight | Work Type | Work Title |
|---|---|---|---|
| 1 | 40% | Mid-Term Exam | Mid-Term Exam |
| 2 | 60% | Final Exam | Final Exam |
Relationship between Learning Outcomes of Course and Program Outcomes
| # | Learning Outcomes | Program Outcomes | Method of Assessment |
|---|---|---|---|
| 1 | Ability to apply mathematics, science and engineering knowledge and experience to real world problems. | 1 | 1͵2 |
| 2 | Ability to design and execute experiments and analyze the results. | 1 | 1͵2 |
| 3 | Ability to identify engineering problems and suggest solutions. | 1 | 1͵2 |
| 4 | Ability to communicate, express himself freely and develop new ideas. | 1 | 1͵2 |
Work Load Details
| # | Type of Work | Quantity | Time (Hour) | Work Load |
|---|---|---|---|---|
| 1 | Course Duration | 14 | 3 | 42 |
| 2 | Course Duration Except Class (Preliminary Study, Enhancement) | 14 | 3 | 42 |
| 3 | Presentation and Seminar Preparation | 0 | 0 | 0 |
| 4 | Web Research, Library and Archival Work | 0 | 0 | 0 |
| 5 | Document/Information Listing | 0 | 0 | 0 |
| 6 | Workshop | 0 | 0 | 0 |
| 7 | Preparation for Midterm Exam | 1 | 20 | 20 |
| 8 | Midterm Exam | 1 | 2 | 2 |
| 9 | Quiz | 0 | 0 | 0 |
| 10 | Homework | 0 | 0 | 0 |
| 11 | Midterm Project | 0 | 0 | 0 |
| 12 | Midterm Exercise | 0 | 0 | 0 |
| 13 | Final Project | 0 | 0 | 0 |
| 14 | Final Exercise | 0 | 0 | 0 |
| 15 | Preparation for Final Exam | 1 | 20 | 20 |
| 16 | Final Exam | 1 | 2 | 2 |
| 128 | ||||