TÜRKÇE
ENGLISH
Information
| Code | CEN125 |
| Name | Linear Algebra |
| Semester | 1. Semester |
| Duration (T+A) | 3-1 (T-A) (17 Week) |
| ECTS | 5 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | İngilizce |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. YILMAZ DURĞUN |
Course Goal
The aim of this course is to provide introduction to computer programming, to put forward the general concepts of programming, the concept of the algorithm and algorithm design, and introduction to structural programming
Course Content
Problem solving. Input-Operation-Output process. Analysis and design of algorithms. Definiteness, finiteness, effectiveness of algorithms. Algorithm Language. Contants, variables and expressions. Arithmetical, relational and logical operators. Input-Output statements. Conditional and iterative statements. Vector and matrix representations. String manipulations. Subroutines and Functions. Applications on a structural programming language
Course Precondition
None
Resources
Elementary Linear Algebra 8th Edition by Ron Larson
Notes
Elementary Linear Algebra: Applications Version 2019,Howard Anton , Chris Rorres, Anton Kaul
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | They have put new information on General Mathematics lessons. |
| LO02 | To understand matrices, linear systems of equations, determinants, and vector spaces |
| LO03 | To understand the methods of mathematical thinking |
| LO04 | Effective oral and written communication skills must be won. |
| LO05 | To learn of the application areas matrices and determinants. |
| LO06 | To learn how to solve systems of linear equations. |
| LO07 | Learns the mathematical and physical meaning of base and dimension concepts. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Has capability in the fields of mathematics, science and computer that form the foundations of engineering | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Identifies, formulates, and solves engineering problems, selects and applies appropriate analytical methods and modeling techniques, | 4 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Analyzes a system, its component, or process and designs under realistic constraints to meet the desired requirements,gains the ability to apply the methods of modern design accordingly. | 4 |
| PLO04 | Bilgi - Kuramsal, Olgusal | Ability to use modern techniques and tools necessary for engineering practice and information technologies effectively. | |
| PLO05 | Bilgi - Kuramsal, Olgusal | Ability to design and to conduct experiments, to collect data, to analyze and to interpret results | 3 |
| PLO06 | Bilgi - Kuramsal, Olgusal | Has ability to work effectively as an individual and in multi-disciplinary teams, take sresponsibility and builds self-confidence | |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Can access information,gains the ability to do resource research and uses information resources | 4 |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Awareness of the requirement of lifelong learning, to follow developments in science and technology and continuous self-renewal ability | 4 |
| PLO09 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Ability to communicate effectively orally and in writing, and to read and understand technical publications in at least one foreign language | |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | Professional and ethical responsibility, | 5 |
| PLO11 | Yetkinlikler - Öğrenme Yetkinliği | Awareness about project management, workplace practices, employee health, environmental and occupational safety, and the legal implications of engineering applications, | 3 |
| PLO12 | Yetkinlikler - Öğrenme Yetkinliği | Becomes aware of universal and social effects of engineering solutions and applications, entrepreneurship and innovation, and knowledge of contemporary issues | 3 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Professional and ethical responsibility | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 2 | Matrices, Matrix operations | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 3 | Special Matrices | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 4 | Elementary operations and applications | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 5 | Determinants | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 6 | Systems of linear equations and Solve systems of equations | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 7 | Homogeneous systems of linear equations | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 8 | Mid-Term Exam | Reading the lecture notes | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Non-homogeneous systems of linear equations | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 10 | Cramer Method | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 11 | Gauss Elimination Method | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 12 | Vector Spaces | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 13 | Spanning Sets and Linear Independence | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 14 | Basis and Dimension | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 15 | Rank of a matrix, Nullspace, Column and row spaces | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 16 | Term Exams | Ölçme Yöntemleri: Yazılı Sınav |
|
| 17 | Term Exams | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 4 | 56 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 1 | 1 | 1 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 8 | 8 |
| Final Exam | 1 | 16 | 16 |
| Total Workload (Hour) | 123 | ||
| Total Workload / 25 (h) | 4,92 | ||
| ECTS | 5 ECTS | ||