EEE118 Linear Algebra and Vectors

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

Information

Code EEE118
Name Linear Algebra and Vectors
Term 2022-2023 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
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Doç. Dr. MUSTAFA KEREM ÜN
Course Instructor Doç. Dr. MUSTAFA KEREM ÜN (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

None.

Resources

Calculus - G. Thomas

Notes

None.


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 Bilgi - Kuramsal, Olgusal Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied knowledge in these areas in complex engineering problems. 5
PLO02 Bilgi - Kuramsal, Olgusal Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modeling methods for this purpose. 4
PLO03 Bilgi - Kuramsal, Olgusal Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way as to meet the desired result; ability to apply modern design methods for this purpose.
PLO04 Bilgi - Kuramsal, Olgusal Ability to devise, select, and use modern techniques and tools needed for analyzing and solving complex problems encountered in engineering practice; ability to employ computer programming techniques, and information technologies effectively. 5
PLO05 Bilgi - Kuramsal, Olgusal Ability to design and conduct experiments, gather data, analyze and interpret results for investigating complex engineering problems or discipline specific research questions.
PLO06 Bilgi - Kuramsal, Olgusal Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually.
PLO07 Bilgi - Kuramsal, Olgusal Ability to communicate effectively, both orally and in writing; knowledge of a minimum of one foreign language; ability to write effective reports and comprehend written reports, prepare design and production reports, make effective presentations,
PLO08 Bilgi - Kuramsal, Olgusal Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself.
PLO09 Bilgi - Kuramsal, Olgusal Consciousness to behave according to ethical principles and professional and ethical responsibility; knowledge on standards used in engineering practice.
PLO10 Bilgi - Kuramsal, Olgusal Knowledge about business life practices such as project management, risk management, and change management; awareness in entrepreneurship, innovation; knowledge about sustainable development.
PLO11 Bilgi - Kuramsal, Olgusal Knowledge about the global and social effects of engineering practices on health, environment, and safety, and contemporary issues of the century reflected into the field of engineering; awareness of the legal consequences of engineering solutions.
PLO12 Bilgi - Kuramsal, Olgusal Ability to apply the knowledge of electrical-electronics engineering to profession-specific tools and devices. 1
PLO13 Bilgi - Kuramsal, Olgusal Having consciousness about the scientific, social, historical, economical and political facts of the society, world and age lived in. 1


Week Plan

Week Topic Preparation Methods
1 Introduction to matrices and linear systems of equations None. Öğretim Yöntemleri:
Anlatım
2 Matrix algebra, transpose and inverse of a matrix Review of the material of the previous lecture Öğretim Yöntemleri:
Anlatım
3 Solution of linear systems with Gaussian elimination Review of the material of the previous lecture Öğretim Yöntemleri:
Anlatım
4 Linear independence, rank of a mtarix Review of the material of the previous lecture Öğretim Yöntemleri:
Anlatım
5 Fundamental theorem of linear systems, finding inverse through Gauss-Jordan elimination Review of the material of the previous lecture Öğretim Yöntemleri:
Anlatım
6 Determinants, Cramer Rule Review of the material of the previous lecture Öğretim Yöntemleri:
Anlatım
7 Eigenvalues Review of the material of the previous lecture Öğretim Yöntemleri:
Anlatım
8 Mid-Term Exam Review of the material of covered sofar Ölçme Yöntemleri:
Yazılı Sınav
9 Similar matrices and diagonalization Review of the material of the previous lecture Öğretim Yöntemleri:
Anlatım
10 Introduction to vectors, vector algebra, vector products No preparation necessary Öğretim Yöntemleri:
Anlatım
11 Analytical geometry with vectors, line and plane equations Review of the material of the previous lecture Öğretim Yöntemleri:
Anlatım
12 Vector functions and their analysis Review of the material of the previous lecture Öğretim Yöntemleri:
Anlatım
13 Gradient and directional derivative Review of the material of the previous lecture Öğretim Yöntemleri:
Anlatım
14 Curl and divergence Review of the material of the previous lecture Öğretim Yöntemleri:
Anlatım
15 Review Review of the material of the previous lecture Öğretim Yöntemleri:
Anlatım
16 Term Exams Review of the entire lecture material Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams Review of the entire lecture material 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 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

Update Time: 21.11.2022 11:34