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| Course Description |
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| Course Name |
: |
Linear Algebra And Vectors |
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| Course Code |
: |
EEE118 |
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| Course Type |
: |
Compulsory |
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| Level of Course |
: |
First Cycle |
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| Year of Study |
: |
1 |
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| Course Semester |
: |
Spring (16 Weeks) |
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| ECTS |
: |
4 |
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| Name of Lecturer(s) |
: |
Asst.Prof.Dr. MUSTAFA KEREM ÜN
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| Learning Outcomes of the Course |
: |
Grasps matrix and vector algebra.
Calculates determinants and eigenvalues
Solves linear systems of equations
Analyzes vector functions.
Calculates gradient, directional derivative, curl and divergence.
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| Mode of Delivery |
: |
Face-to-Face |
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| Prerequisites and Co-Prerequisites |
: |
None |
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| Recommended Optional Programme Components |
: |
None |
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| Aim(s) of Course |
: |
To teach the student matrix and vector algebra, linear independence and solution of linear systems of equations. |
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| Course Contents |
: |
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, Cramer´s 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. |
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| Language of Instruction |
: |
English |
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| Work Place |
: |
Classroom |
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Course Outline /Schedule (Weekly) Planned Learning Activities |
| Week | Subject | Student's Preliminary Work | Learning Activities and Teaching Methods |
|
1 |
Introduction to matrices and linear systems of equations |
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Lecture |
|
2 |
Matrix algebra, transpose and inverse of a matrix |
|
Lecture |
|
3 |
Solution of linear systems with Gaussian elimination |
|
Lecture |
|
4 |
Linear independence, rank of a mtarix |
|
Lecture |
|
5 |
Fundamental theorem of linear systems, finding inverse through Gauss-Jordan elimination |
|
Lecture |
|
6 |
Determinants, Cramer´s Rule |
|
Lecture |
|
7 |
Eigenvalues |
|
Lecture |
|
8 |
Review, midterm exam |
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Interactive lecture |
|
9 |
Similar matrices and diagonalization |
|
Lecture |
|
10 |
Introduction to vectors, vector algebra, vector products |
|
Lecture |
|
11 |
Analytical geometry with vectors, line and plane equations |
|
Lecture |
|
12 |
Vector functions and their analysis |
|
Lecture |
|
13 |
Gradient and directional derivative |
|
Lecture |
|
14 |
Curl and divergence |
|
Lecture |
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15 |
Review |
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Interactive lecture |
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16/17 |
Final Exam |
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exam |
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Required Course Resources |
| Resource Type | Resource Name |
| Recommended Course Material(s) |
 Elemantary Linear Algebra - Keith Matthews
A First Course in Linear Algebra - Robert Beezer
Calculus - G. Thomas
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| |
| Required Course Material(s) | |
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Assessment Methods and Assessment Criteria |
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Semester/Year Assessments |
Number |
Contribution Percentage |
|
Mid-term Exams (Written, Oral, etc.) |
1 |
100 |
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Homeworks/Projects/Others |
0 |
0 |
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Total |
100 |
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Rate of Semester/Year Assessments to Success |
40 |
| |
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Final Assessments
|
100 |
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Rate of Final Assessments to Success
|
60 |
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Total |
100 |
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| Contribution of the Course to Key Learning Outcomes |
| # | Key Learning Outcome | Contribution* |
|
1 |
Has capability in those fields of mathematics and physics that form the foundations of engineering. |
5 |
|
2 |
Grasps the main knowledge in the basic topics of electrical and electronic engineering. |
3 |
|
3 |
Comprehends the functional integrity of the knowledge gathered in the fields of basic engineering and electrical-electronics engineering. |
3 |
|
4 |
Identifies problems and analyzes the identified problems based on the gathered professional knowledge. |
0 |
|
5 |
Formulates and solves a given theoretical problem using the knowledge of basic engineering. |
1 |
|
6 |
Has aptitude for computer and information technologies |
0 |
|
7 |
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 |
|
8 |
Has the ability to apply the knowledge of electrical-electronic engineering to profession-specific tools and devices. |
0 |
|
9 |
Has the ability to write a computer code towards a specific purpose using a familiar programming language. |
0 |
|
10 |
Has the ability to work either through a purpose oriented program or in union within a group where responsibilities are shared. |
1 |
|
11 |
Has the aptitude to identify proper sources of information, reaches them and uses them efficiently. |
1 |
|
12 |
Becomes able to communicate with other people with a proper style and uses an appropriate language. |
0 |
|
13 |
Internalizes the ethical values prescribed by his profession in particular and by the professional life in general. |
1 |
|
14 |
Has consciousness about the scientific, social, historical, economical and political facts of the society, world and age lived in. |
0 |
| * Contribution levels are between 0 (not) and 5 (maximum). |
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| Student Workload - ECTS |
| Works | Number | Time (Hour) | Total Workload (Hour) |
| Course Related Works |
|
Class Time (Exam weeks are excluded) |
13 |
3 |
39 |
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Out of Class Study (Preliminary Work, Practice) |
13 |
3 |
39 |
| Assesment Related Works |
|
Homeworks, Projects, Others |
0 |
0 |
0 |
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Mid-term Exams (Written, Oral, etc.) |
1 |
7 |
7 |
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Final Exam |
1 |
10 |
10 |
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Total Workload: | 95 |
| Total Workload / 25 (h): | 3.8 |
| ECTS Credit: | 4 |
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