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| Course Description |
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| Course Name |
: |
Linear Algebra |
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| Course Code |
: |
MMD201 |
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| Course Type |
: |
Compulsory |
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| Level of Course |
: |
First Cycle |
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| Year of Study |
: |
2 |
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| Course Semester |
: |
Fall (16 Weeks) |
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| ECTS |
: |
5 |
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| Name of Lecturer(s) |
: |
Asst.Prof.Dr. ELA AYDIN
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| Learning Outcomes of the Course |
: |
Solves the systems of homogeny and linear equations with martices.
Understands the relations between linear transformations and matrices.
Calculates determinants of matrices.
Finds the inverses of matrices.
Uses the determinant in solving problems of matrices.
Draws plot vectors on planes or in spaces.
Knows about the equations of circle and sphere and does their applications.
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| Mode of Delivery |
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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 give insight and skill about the concrete aspects of linear algebra, to provide information about basic concepts of matrices and the systems of homogeny and linear equations, to solve the systems using matrices, to teach vector spaces and abstract mathematical concepts, to teach abstract thought, the equations of circle and sphere and their applications.
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| Course Contents |
: |
System of linear equations, elementary operations, finding solutions of linear and homogeneous systems of equations using elementary operations, matrices and special types of matrices, finding inverses of matrices using elementary operations, determinants, finding determinants of block and special types of matrices, using determinant for solving Cramer systems. Vectors in the plane and space, vector spaces, subspaces, linear dependence of vectors, bases of vector spaces, |
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| Language of Instruction |
: |
Turkish |
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| Work Place |
: |
Departments classrooms |
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Course Outline /Schedule (Weekly) Planned Learning Activities |
| Week | Subject | Student's Preliminary Work | Learning Activities and Teaching Methods |
|
1 |
System of linear equations matrices |
Reading the relevant sections in the textbook(s) |
Lecture and discussion |
|
2 |
Operations on matrices |
Reading the relevant sections in the textbook(s) |
Lecture and discussion |
|
3 |
Some special type of matrices |
Reading the relevant sections in the textbook(s) |
Lecture and discussion |
|
4 |
Solving systems by using Gauss elimination and Gauss-Jordan reduction methods |
Reading the relevant sections in the textbook(s) |
Lecture and discussion |
|
5 |
Find the inverses of matrices |
Reading the relevant sections in the textbook(s) |
Lecture and discussion |
|
6 |
Calculation of determinants and properties of determinants |
Reading the relevant sections in the textbook(s) |
Lecture and discussion |
|
7 |
Solving the systems using Cramer’s rule |
Reading the relevant sections in the textbook(s) |
Lecture and discussion |
|
8 |
Mid-term exam |
Review and problem solving |
written exam |
|
9 |
Cofactors and finding inverse of matrices by using adjoint. |
Reading the relevant sections in the textbook(s) |
Lecture and discussion |
|
10 |
Equivalance of matrices |
Reading the relevant sections in the textbook(s) |
Lecture and discussion |
|
11 |
The rank of a matrix |
Reading the relevant sections in the textbook(s) |
Lecture and discussion |
|
12 |
Vector spaces, vectors in the plane and space |
Reading the relevant sections in the textbook(s) |
Lecture and discussion |
|
13 |
Finding linear span |
Reading the relevant sections in the textbook(s) |
Lecture and discussion |
|
14 |
The linear dependence or independence of a set of vectors |
Reading the relevant sections in the textbook(s) |
Lecture and discussion |
|
15 |
Equations of circle and sphere and their applications |
Reading the relevant sections in the textbook(s) |
Lecture and discussion |
|
16/17 |
Final exam |
Review and problem solving |
Written exam |
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Required Course Resources |
| Resource Type | Resource Name |
| Recommended Course Material(s) |
 Bernard Kolman, David R. Hill, " Lineer Cebir" (Çeviri ) Palme Yayıncılık Press,2000.
Veli Şahmurov, Gökhan Uzgören, " Lineer Cebir Uygulamaları" Papatya Yayıncılık Press,1999.,
Arif Sabuncuoğlu, "Lineer Cebir", Nobel yayın dağıtım,2000.
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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 |
|
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 |
Students gain adequate knowledge about the engineering fields in the branches of mathematics, physical sciences or their own branches |
5 |
|
2 |
Students follow the current developments in their fields with a recognition of the need for lifelong learning and constantly improve themselves |
0 |
|
3 |
Students use the theoretical and practical knowledge in mathematics, physical sciences and their fields for engineering solutions |
5 |
|
4 |
Students choose and use the appropriate analytical mehtods and modelling techniques to identify, formulate, and solve the engineering problems |
3 |
|
5 |
Students design and carry out experiments, collect data, analyze and interpret the results. |
2 |
|
6 |
Students gain the capacity to analyze a system, a component, and desing the process under realistic constraints to meet the desired requirements; and the ability to apply the methods of modern design accordingly |
1 |
|
7 |
Students choose and use the modern technical tools necessary for engineering practice. |
0 |
|
8 |
Students gain the ability to work effectively both as an individual and in multi-disciplinary teams. |
4 |
|
9 |
Students use the resources of information and databases for the purpose of doing research and accesing information. |
0 |
|
10 |
Students follow the scientific and technological developments in recognition of the need for lifelong learning, and continuously keep their knowledge up to date. |
0 |
|
11 |
Students use the information and communication technologies together with the computer software at the level required by the European Computer Driving Licence. |
0 |
|
12 |
Students use a foreign language according to the general level of European Language Portfolio B1 to communicate effectively in oral and written form. |
0 |
|
13 |
Students gain the ability to communicate using technical drawing. |
0 |
|
14 |
Students become informed of professional and ethical responsibility. |
0 |
|
15 |
Students develop an awareness as regards project management, workplace practices, employee health, environmental and occupational safety; and the legal implications of engineering applications. |
0 |
|
16 |
Students develop an awareness of the universal and social effects of engineering solutions and applications, the entrepreneurship and innovation subjects and gain knowledge of contemporary issues |
4 |
| * 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) |
14 |
3 |
42 |
|
Out of Class Study (Preliminary Work, Practice) |
14 |
4 |
56 |
| Assesment Related Works |
|
Homeworks, Projects, Others |
0 |
0 |
0 |
|
Mid-term Exams (Written, Oral, etc.) |
1 |
10 |
10 |
|
Final Exam |
1 |
15 |
15 |
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Total Workload: | 123 |
| Total Workload / 25 (h): | 4.92 |
| ECTS Credit: | 5 |
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