| Course Type | Compulsory Course |
|---|
| Course Level | Bachelor's Degree |
|---|
| Year of Study | 2 |
|---|
| Semester | Third Term (Fall) |
|---|
| ECTS | 4 |
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| Name of Lecturer(s) |
|
| Learning Outcomes |
At the end of this course, the students;
- Increase the awareness of his mental potential and abilities; gain an ability to utilize a higher percentage the capacity of the mind via brain exercises.
- Acquire effective analytical thinking ability and study habits; and also deepen and widen his thought and vision.
- Develop problem-solving skills.
- Becomes able to apply their knowledge of Engineering Mathematics to science and engineering problems.
- Acquires basic information that can be set the decision model .
|
| Mode of Delivery | Face to face |
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| Prerequisites | No |
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| Recommended Optional Programme Components | None |
|---|
| Course Description | This course contains these concepts: R Space, Dot Product of Vectors, Projections, Equations of Line and Plane, Systems of Linear Equations and Solutions, Gauss-Jordan Elimination, Matrices, Transpose and Inverse of Matrix, Matrix Applications, Determinants and Properties, Eigenvalue of Matrices, Cross Product, Scalar Triple Product, Norm, General Vector Spaces, Subspaces, Linear Dependence and Independence, Span, Basis and Dimension, Inner Product Spaces, Gram-Schmidt Orthogonalization Process, Linear Transformations, Kernel and Range, Rank and Nullity, Matrices of Linear Transformations, Eigenvectors of Linear Transform, Diagonalization, Change of Basis, Similarity, Jordan Canonical Form, Quadratic Surfaces, Complex Vector Spaces, Complex Matrices. |
|---|
| Course Contents |
| WEEK |
TOPICS |
|
1st Week |
Introduction, System of Linear Equations and Solutions |
|
2nd Week |
Gauss Jordan Elimination Method |
|
3rd Week |
Matrices and Their Properties |
|
4th Week |
Determinats and Their Properties |
|
5th Week |
Cross Product, Scalar Triple Product and Properties. Lines and Planes. The Vector Spaces R2, R3, Rn and Norm of a Vector. |
|
6th Week |
General Vector Spaces, Subspaces |
|
7th Week |
Linear Dependence, Linear Independence, Spanning, Basis and Dimension |
|
8th Week |
Midterm Exam |
|
9th Week |
Inner Product Spaces, Gram-Schmidt Process |
|
10th Week |
Linear Transformations |
|
11th Week |
Kernel and Range Spaces, Rank and Nullity, Inverse Linear Transformations |
|
12th Week |
Eigenvalues and Eigenvectors |
|
13th Week |
Diagonalization, Change of Bases |
|
14th Week |
Quadratic Forms, MATLAB |
|
15th Week |
Review |
|
16th Week |
|
|
| Recommended or Required Reading | Howard Anton, Chris Rovves, Elementary Linear Algebra, Applications Version (1994), John Wiley&Sons.
David C. Lay, Linear Algebra and Its Applications (2000), Addison - Wesley.
|
|---|
| Planned Learning Activities and Teaching Methods |
- Lecture
- Questions/Answers
|
|---|
| Assessment Methods and Criteria |
|
Quantity |
Percentage (%) |
| Mid-term |
1 |
35 |
| Quiz |
2 |
15 |
| Total(%) |
|
50 |
| Contribution of In-term Studies to Overall Grade(%) |
|
50 |
| Contribution of Final Examination to Overall Grade(%) |
|
50 |
| Total(%) |
|
100 |
|
| ECTS Allocated Based on Student Workload |
| Activities |
Quantity |
Duration (Hour) |
Total Workload (Hour) |
| Midterm exam |
1 |
2 |
2 |
| Preparation for Quiz |
2 |
2 |
4 |
| Individual or group work |
13 |
2 |
26 |
| Preparation for Final exam |
1 |
16 |
16 |
| Course hours |
14 |
4 |
56 |
| Preparation for Midterm exam |
1 |
12 |
12 |
| Laboratory (including preparation) |
0 |
0 |
0 |
| Final exam |
1 |
2 |
2 |
| Homework |
0 |
0 |
0 |
| Quiz |
2 |
1 |
2 |
| Total Work Load | 120 |
| Total Work Load / 30 (h) | 4 |
| ECTS Credit of the Course | 4 |
|
| Language of Instruction | Turkish |
|---|
| Work Placement(s) | No |
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