TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF ENGINEERING |
| BIOMEDICAL ENGINEERING PR. | |
| Code | BMM201 |
| Name | Advanced Engineering Mathematics 1 |
| Term | 2020-2021 Academic Year |
| Semester | 3. 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
(Güz)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
To teach the student differential equations andlinear algebra 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 | Categorizes a given ordinary differential equation and proposes a method for its solution |
| LO02 | Solves a first order equation |
| LO03 | Solves a constant-coefficient, linear, higher order equation and a system of constant-coefficient linear equations |
| LO04 | Finds the power series solution to a given linear, non-constant-coefficient equation. |
| LO05 | Solves a linear equation using Laplace transform. |
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 | 3 |
| 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 | 5 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Introduction to ordinary differential equations (ODE) | Review of the relevant pages from sources | |
| 2 | First order ODEs, seperation of variables, physical applications. | Review of the relevant pages from sources | |
| 3 | First order ODEs, exact differentials | Review of the relevant pages from sources | |
| 4 | First order ODEs, integrating factors | Review of the relevant pages from sources | |
| 5 | General first order linear ODEs | Review of the relevant pages from sources | |
| 6 | Second order ODEs, solution of constant coefficient, homogeneous equations | Review of the relevant pages from sources | |
| 7 | Methods of undetermined coefficients and variation of parameters | Review of the relevant pages from sources | |
| 8 | Mid-Term Exam | Review of the topics discussed in the lecture notes and sources | |
| 9 | Higher order ODEs | Review of the relevant pages from sources | |
| 10 | Solution of systems of ODEs | Review of the relevant pages from sources | |
| 11 | Solution of systems of ODEs (continued) | Review of the relevant pages from sources | |
| 12 | Solution with power series. | Review of the relevant pages from sources | |
| 13 | Laplace transform | Review of the relevant pages from sources | |
| 14 | Laplace transform | Review of the relevant pages from sources | |
| 15 | Review | Review of the topics discussed in the lecture notes and sources | |
| 16 | Term Exams | Review of the entire course material, solving exercise questions | |
| 17 | Term Exams | Review of the entire 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 | 2 | 28 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 10 | 10 |
| Final Exam | 1 | 16 | 16 |
| Total Workload (Hour) | 96 | ||
| Total Workload / 25 (h) | 3,84 | ||
| ECTS | 4 ECTS | ||