BMM120 Linear Algebra

5 ECTS - 3-0 Duration (T+A)- 2. Semester- 3 National Credit

Information

Code BMM120
Name Linear Algebra
Term 2024-2025 Academic Year
Semester 2. Semester
Duration (T+A) 3-0 (T-A) (17 Week)
ECTS 5 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. DİLEK KAHYALAR
Course Instructor
1 2
Doç. Dr. DİLEK KAHYALAR (A Group) (Ins. in Charge)


Course Goal / Objective

To teach the student biomechanical applications of statics and dynamics, to teach the student strength of materials and its biomechanical applications

Course Content

Biomechanical applications of statics and dynamics, strength of materials with its entire aspects and its biomechanical applications

Course Precondition

none

Resources

Arif Sabuncuoğlu,Mühendislik ve İstatistik Bölümler İçin Lineer CebirNobel Akademik Yayıncılık 2012

Notes

Arif Sabuncuoğlu,Mühendislik ve İstatistik Bölümler İçin Lineer CebirNobel Akademik Yayıncılık 2012


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Performs matrix algebra
LO02 Solves system of equations with Gaussian elimination
LO03 Identifies the rank, determinant and eigenvalues of a given square matrix
LO04 Categorizes a given ordinary differential equation and proposes a method for its solution
LO05 Solves a first order equation
LO06 Solves a constant-coefficient, linear, higher order equation and a system of constant-coefficient linear equations


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. 4
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. 3
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.
PLO05 Yetkinlikler - Öğrenme Yetkinliği Modeling problems related to biomedical engineering.
PLO06 Beceriler - Bilişsel, Uygulamalı Analyzing data and interpreting the results. 5
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.
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 Introduction to Matrices Reading lecture materials Öğretim Yöntemleri:
Anlatım
2 Matrix algebra, transpose and inverse Reading lecture materials Öğretim Yöntemleri:
Anlatım
3 Solving Systems with Gaussian elimination Reading lecture materials Öğretim Yöntemleri:
Anlatım
4 Linear independence, rank of a matrix Reading lecture materials Öğretim Yöntemleri:
Anlatım
5 Fundamental Theorem of Linear Systems Reading lecture materials Öğretim Yöntemleri:
Anlatım
6 Matrix inverse through Gauss-Jordan elimination Reading lecture materials Öğretim Yöntemleri:
Anlatım
7 Homogeneous systems Reading lecture materials Öğretim Yöntemleri:
Anlatım
8 Mid-Term Exam Reading lecture materials Ölçme Yöntemleri:
Yazılı Sınav
9 Determinants Reading lecture materials Öğretim Yöntemleri:
Anlatım
10 Cramer rule Reading lecture materials Öğretim Yöntemleri:
Anlatım
11 Eigenvalues Reading lecture materials Öğretim Yöntemleri:
Anlatım
12 Vector of matrix Reading lecture materials Öğretim Yöntemleri:
Anlatım
13 Similar matrices, diagonalization Reading lecture materials Öğretim Yöntemleri:
Anlatım
14 Solving systems with Jacobi iteration Reading lecture materials Öğretim Yöntemleri:
Anlatım
15 Final Exam Reading lecture materials Ölçme Yöntemleri:
Yazılı Sınav
16 Term Exams Reading lecture materials Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams Reading lecture materials 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 12 12
Final Exam 1 18 18
Total Workload (Hour) 114
Total Workload / 25 (h) 4,56
ECTS 5 ECTS

Update Time: 07.05.2024 01:57