TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF ENGINEERING |
| ELECTRICAL-ELECTRONIC ENGINEERING PR. (ENGLISH) | |
| Code | EEE118 |
| Name | Linear Algebra and Vectors |
| Term | 2018-2019 Academic Year |
| Semester | 2. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 4 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | İngilizce |
| Level | Lisans Dersi |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. MUSTAFA KEREM ÜN |
| Course Instructor |
Dr. Öğr. Üyesi ERCAN AVŞAR
(Bahar)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
To teach the student matrix and vector algebra, linear independence and solution of linear systems of equations.
Course Content
Introduction to matrices, matrix algebra. Solution of linear systems of equations with Gaussian elimination. Vector spaces, linear independence, rank of a matrix. Fundamental theorem of linear equations, finding inverse with Gauss-Jordan elimination. Determinants, Cramers rule. Eigenvalues and eigenvectors, similar matrices, similarity transformations. Vectors and vector algbera. Vector analytical geometry, line and plane equations. Vector functions. Gradient, directional derivative, divergence and curl.
Course Precondition
Resources
Notes
Calculus - G. Thomas
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Grasps matrix and vector algebra. |
| LO02 | Calculates determinants and eigenvalues |
| LO03 | Solves linear systems of equations |
| LO04 | Analyzes vector functions. |
| LO05 | Calculates gradient, directional derivative, curl and divergence. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Has capability in those fields of mathematics and physics that form the foundations of engineering. | 0 |
| PLO02 | - | Grasps the main knowledge in the basic topics of electrical and electronic engineering. | 0 |
| PLO03 | - | Comprehends the functional integrity of the knowledge gathered in the fields of basic engineering and electrical-electronics engineering. | 3 |
| PLO04 | - | Identifies problems and analyzes the identified problems based on the gathered professional knowledge. | 0 |
| PLO05 | - | Formulates and solves a given theoretical problem using the knowledge of basic engineering. | 1 |
| PLO06 | - | Has aptitude for computer and information technologies | 0 |
| PLO07 | - | Knows English at a level adequate to comprehend the main points of a scientific text, either general or about his profession, written in English. | 2 |
| PLO08 | - | Has the ability to apply the knowledge of electrical-electronic engineering to profession-specific tools and devices. | 0 |
| PLO09 | - | Has the ability to write a computer code towards a specific purpose using a familiar programming language. | 0 |
| PLO10 | - | Has the ability to work either through a purpose oriented program or in union within a group where responsibilities are shared. | 1 |
| PLO11 | - | Has the aptitude to identify proper sources of information, reaches them and uses them efficiently. | 1 |
| PLO12 | - | Becomes able to communicate with other people with a proper style and uses an appropriate language. | 0 |
| PLO13 | - | Internalizes the ethical values prescribed by his profession in particular and by the professional life in general. | 0 |
| PLO14 | - | Has consciousness about the scientific, social, historical, economical and political facts of the society, world and age lived in. | 0 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Introduction to matrices and linear systems of equations | None | |
| 2 | Matrix algebra, transpose and inverse of a matrix | Review of the material of the previous lecture | |
| 3 | Solution of linear systems with Gaussian elimination | Review of the material of the previous lecture | |
| 4 | Linear independence, rank of a mtarix | Review of the material of the previous lecture | |
| 5 | Fundamental theorem of linear systems, finding inverse through Gauss-Jordan elimination | Review of the material of the previous lecture | |
| 6 | Determinants, Cramer Rule | Review of the material of the previous lecture | |
| 7 | Eigenvalues | Review of the material of the previous lecture | |
| 8 | Mid-Term Exam | Review of the material of covered sofar | |
| 9 | Similar matrices and diagonalization | Review of the material of the previous lecture | |
| 10 | Introduction to vectors, vector algebra, vector products | No preparation necessary | |
| 11 | Analytical geometry with vectors, line and plane equations | Review of the material of the previous lecture | |
| 12 | Vector functions and their analysis | Review of the material of the previous lecture | |
| 13 | Gradient and directional derivative | Review of the material of the previous lecture | |
| 14 | Curl and divergence | Review of the material of the previous lecture | |
| 15 | Review | Review of the material of the previous lecture | |
| 16 | Term Exams | Review of the entire lecture material | |
| 17 | Term Exams | Review of the entire lecture material |
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 | 8 | 8 |
| Final Exam | 1 | 14 | 14 |
| Total Workload (Hour) | 92 | ||
| Total Workload / 25 (h) | 3,68 | ||
| ECTS | 4 ECTS | ||