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Information
| Code | BMM202 |
| Name | Advanced Engineering Mathematics 2 |
| Term | 2024-2025 Academic Year |
| Semester | 4. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 4 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Doç. Dr. MUSTAFA KEREM ÜN |
| Course Instructor |
1 2 |
Course Goal / Objective
To teach the student partial differential equations and complex analysis that are among the fundamental topics of applied mathematics
Course Content
Partial differential equations; heat, wave and Laplace equations, complex numbers, complex integration, Laurent series, rezidue
Course Precondition
None.
Resources
Lecture Notes
Notes
None.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Grasps the use and logic of PDE's |
| LO02 | Applies separation of variables |
| LO03 | Speculates on how a given PDE changes under differing conditions |
| LO04 | Applies complex algebra. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Have sufficient knowledge in mathematics, natural sciences, and biomedical engineering, along with the ability to use theoretical and applied knowledge in these areas to solve complex engineering problems. | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Acquire the ability to identify, formulate, and solve complex Biomedical Engineering problems; for this purpose, will have the ability to choose and apply appropriate analysis and modeling methods. | |
| PLO03 | Bilgi - Kuramsal, Olgusal | The ability to design a complex system, process, device, or product in Biomedical Engineering under realistic constraints and conditions to meet specific requirements; the ability to apply modern design methods for this purpose. | |
| PLO04 | Bilgi - Kuramsal, Olgusal | The ability to select and use modern techniques and tools necessary for analyzing and solving complex problems encountered in Biomedical Engineering applications; the ability to use information technologies effectively. | 5 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Ability to design and conduct experiments, collect data, analyze and interpret results to investigate complex engineering problems or discipline-specific research topics in Biomedical Engineering. | |
| PLO06 | Bilgi - Kuramsal, Olgusal | The ability to work effectively in intra-disciplinary (Biomedical Engineering) and multi-disciplinary teams; ability to work individually. | |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | The ability to communicate effectively verbally and in writing; knowledge of at least one foreign language; ability to write effective reports in Biomedical Engineering and understand written reports, prepare design and production reports, make effective presentations, and give and receive clear and understandable instructions. | 4 |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Get awareness of the necessity of lifelong learning; the ability to access information in the field of Biomedical Engineering, to follow developments in science and technology, and the ability to constantly self-renewal. | 2 |
| PLO09 | Yetkinlikler - Öğrenme Yetkinliği | Acting following ethical principles, professional and ethical responsibility in the field of Biomedical Engineering, and knowledge of the standards used in engineering practice. | |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | Knowledge of project management and practices in the field of Biomedical Engineering, such as risk management and change management; awareness about entrepreneurship, innovation, and sustainable development. | |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Understanding the universal and societal impacts of Biomedical Engineering applications on health, environment, and safety; awareness of the legal implications of Biomedical Engineering solutions. | |
| PLO12 | Bilgi - Kuramsal, Olgusal | Understanding of biology and physiology. | |
| PLO13 | Beceriler - Bilişsel, Uygulamalı | Ability to make measurements on living systems and interpret data collected from these measurements. | |
| PLO14 | Bilgi - Kuramsal, Olgusal | Ability to solve problems related to the interactions between living and nonliving materials and systems. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | An introduction to the class | Reading lecture materials | Öğretim Yöntemleri: Anlatım |
| 2 | Introduction to partial differential equations, basic concepts | Reading lecture materials | Öğretim Yöntemleri: Anlatım |
| 3 | Orthogonal functions, Fourier series, Fourier transform | Reading lecture materials | Öğretim Yöntemleri: Anlatım |
| 4 | Fourier law of heat conduction, heat equation | Reading lecture materials | Öğretim Yöntemleri: Anlatım |
| 5 | Solution to heat equation under different conditions | Reading lecture materials | Öğretim Yöntemleri: Anlatım |
| 6 | Wave equation, D'alembert solution | Reading lecture materials | Öğretim Yöntemleri: Anlatım |
| 7 | Laplace equation | Reading lecture materials | Öğretim Yöntemleri: Anlatım |
| 8 | Mid-Term Exam | Reading lecture materials | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Introduction to complex numbers, basic concepts | Reading lecture materials | Öğretim Yöntemleri: Anlatım |
| 10 | Complex functions | Reading lecture materials | Öğretim Yöntemleri: Anlatım |
| 11 | Complex functions - 2 | Reading lecture materials | Öğretim Yöntemleri: Anlatım |
| 12 | Complex integration | Reading lecture materials | Öğretim Yöntemleri: Anlatım |
| 13 | Complex integration - 2 | Reading lecture materials | Öğretim Yöntemleri: Anlatım |
| 14 | Taylor and Laurent series | Reading lecture materials | Öğretim Yöntemleri: Anlatım |
| 15 | Final Exam | Reading lecture materials | Ölçme Yöntemleri: Yazılı Sınav |
| 16 | Term Exams | Review of the course material, solving exercise questions | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Review of the course material, solving exercise questions | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 3 | 42 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 7 | 7 |
| Final Exam | 1 | 18 | 18 |
| Total Workload (Hour) | 109 | ||
| Total Workload / 25 (h) | 4,36 | ||
| ECTS | 4 ECTS | ||