TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF ENGINEERING |
| BIOMEDICAL ENGINEERING PR. | |
| Code | BMM202 |
| Name | Advanced Engineering Mathematics 2 |
| Term | 2019-2020 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 | Yüz Yüze 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 | - | 1. Solve the scientific problems encountered in medicine and medical technologies by applying technical approaches of disciplines. 2. Self development on science and technology issues. 3. Assess the contributions of engineering solutions on medicine, medical technologies and healthcare | 3 |
| PLO02 | - | 1. Define the problems about Biomedical Engineering 2. Modelling the problems about Biomedical Engineering. | 4 |
| PLO03 | - | 1. Analyse data and interpret results | 2 |
| PLO04 | - | 1. Utilize modern techniques and computing tools which are essential for Engineering applications | 4 |
| PLO05 | - | 1. Design and analyse a defined process 2. Recognise national and international problems for Biomedical Engineering | 4 |
| PLO06 | - | Understand the research problems of medical doctor with engineering perspective | 5 |
| PLO07 | - | 1. Describe the ideas clearlywith written and verbally 2. Have the interdisciplinary teamwork skills | 5 |
| PLO08 | - | 1. Have knowledge on calibration and quality assurance systems in Biomedical Engineering 2. Have the sense of responsibility and professional ethics | 4 |
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. Homework | 100 | 20 |
| General Assessment | ||
| Midterm / Year Total | 100 | 20 |
| 1. Final Exam | - | 80 |
| 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 | ||