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Information
| Unit | FACULTY OF ENGINEERING |
| BIOMEDICAL ENGINEERING PR. | |
| Code | BMM202 |
| Name | Advanced Engineering Mathematics 2 |
| Term | 2020-2021 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 |
| Label | C Compulsory |
| Mode of study | Uzaktan Öğretim |
| Catalog Information Coordinator | Prof. Dr. MUSTAFA KEREM ÜN |
| Course Instructor |
Prof. Dr. MUSTAFA KEREM ÜN
(Bahar)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
To teach the student partial differential equations and complex analysis that are among the fundamental topics of applied mathematics
Course Content
Matrices, matrix algebra, equation systems, rank, determinant, eigenvalue. First order ordinary differential equations, separation of variables, exact differentials, integrating factors, higher order equations, methods of undetermined coefficients and variation of parameters, differential equation systems, Laplace transform
Course Precondition
Resources
Notes
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. | 5 |
| 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. | |
| 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. | |
| 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. | |
| 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 | Sufficient knowledge in the disciplines of anatomy and physiology | |
| PLO13 | Beceriler - Bilişsel, Uygulamalı | Ability to perform measurements on living systems and to interpret the data collected from these measurements. | |
| PLO14 | Bilgi - Kuramsal, Olgusal | Solving problems related to the interaction of living organisms with materials and systems, and interpreting the outcomes. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | An introduction to the class | Reading lecture materials | |
| 2 | Introduction to partial differential equations, basic concepts | Reading lecture materials | |
| 3 | Orthogonal functions, Fourier series, Fourier transform | Reading lecture materials | |
| 4 | Fourier law of heat conduction, heat equation | Reading lecture materials | |
| 5 | Solution to heat equation under different conditions | Reading lecture materials | |
| 6 | Wave equation, D'alembert solution | Reading lecture materials | |
| 7 | Laplace equation | Reading lecture materials | |
| 8 | Mid-Term Exam | Reading lecture materials | |
| 9 | Introduction to complex numbers, basic concepts | Reading lecture materials | |
| 10 | Complex functions | Reading lecture materials | |
| 11 | Complex functions | Reading lecture materials | |
| 12 | Complex integration | Reading lecture materials | |
| 13 | Complex integration | Reading lecture materials | |
| 14 | Taylor and Laurent series | Reading lecture materials | |
| 15 | Final Exam | Reading lecture materials | |
| 16 | Term Exams | Review of the course material, solving exercise questions | |
| 17 | Term Exams | Review of the course material, solving exercise questions |
Assessment (Exam) Methods and Criteria
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Midterm Exam | 100 | 40 |
| General Assessment | ||
| Midterm / Year Total | 100 | 40 |
| 1. Final Exam | - | 60 |
| Grand Total | - | 100 |
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 | ||