TÜRKÇE
ENGLISH
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 | Scientific problems encountered in the field of medicine and medical technologies; the ability to solve problems by applying the technical approaches of mathematics, science and engineering sciences. | 5 |
| PLO02 | Yetkinlikler - Öğrenme Yetkinliği | To be able to improve oneself by embracing the importance of lifelong learning and by following the developments in science-technology and contemporary issues. | |
| PLO03 | Yetkinlikler - Öğrenme Yetkinliği | Assess the contributions of engineering solutions on medicine, medical technologies and healthcare. | |
| PLO04 | Yetkinlikler - Öğrenme Yetkinliği | Identifying problems related to biomedical engineering. | 5 |
| PLO05 | Yetkinlikler - Öğrenme Yetkinliği | Modeling problems related to biomedical engineering. | |
| PLO06 | Beceriler - Bilişsel, Uygulamalı | Analyzing data and interpreting the results. | |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | To be able to use modern techniques and computational tools required for engineering applications. | 4 |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Ability to analyze and design a process in line with a defined goal. | 2 |
| PLO09 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | To be able to understand the problems and wishes of the medical doctor in their scientific studies from an engineering point of view. | |
| PLO10 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Expressing ideas verbally and in writing, clearly and concisely. | |
| PLO11 | Yetkinlikler - Alana Özgü Yetkinlik | To be conscious of calibration and quality assurance systems in Biomedical Engineering. | |
| PLO12 | Beceriler - Bilişsel, Uygulamalı | Design and Implement Experiments. | |
| PLO13 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Ability to act independently, set priorities and creativity. | |
| PLO14 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Being aware of national and international contemporary issues in the field of Biomedical Engineering. | |
| PLO15 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Ability to work in interdisciplinary teams. | |
| PLO16 | Yetkinlikler - Alana Özgü Yetkinlik | To have a sense of professional and ethical responsibility. |
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 | ||