- Course Code
- EMT206
- Semester
- Fourth Term (Spring)
- Theory+Practice
- 3 + 0
- ECTS
- 5
| Course Type | Compulsory Course |
|---|
| Course Level | Bachelor's Degree |
|---|
| Year of Study | 2 |
|---|
| Semester | Fourth Term (Spring) |
|---|
| ECTS | 5 |
|---|
| Name of Lecturer(s) |
|
| Learning Outcomes |
At the end of this course, the students;
- Comprehend the definitions of vector spaces and subvector spaces.
- Comprehend the need of special spaces in order to work in some advanced areas of mathematics.
- Define transforms between the spaces that he/she works with, depending on the structure of the spaces. and study their properties
- Investigated the properties of trhe special transforms.
|
| Mode of Delivery | Face to face |
|---|
| Prerequisites | No |
|---|
| Recommended Optional Programme Components | No |
|---|
| Course Description | Vector spaces, subspaces, linear independence, linear combinations; stretching, basis and dimension; linear transformations, kernel and image of a linear transformation; isomorphies, eigenvalues and eigenvectors; characteristic polynomials, diagonalisation, inner product spaces, orthogonality of vectors, orthonormal vector sets. |
|---|
| Course Contents |
| WEEK |
TOPICS |
|
1st Week |
Vector spaces - subspaces |
|
2nd Week |
Linear combinations |
|
3rd Week |
Linear independence |
|
4th Week |
Some and dimension of vector space |
|
5th Week |
Some and dimension of vector space |
|
6th Week |
Linear transformations |
|
7th Week |
Kernel and image of linear transformation |
|
8th Week |
Midterm |
|
9th Week |
Matrix representation of linear transformation |
|
10th Week |
Characteristic equation and polynomial of a matrix, eigenvalues and eigenvectors |
|
11th Week |
Diagonalisation |
|
12th Week |
Inner product spaces and norm |
|
13th Week |
Orthagonality |
|
14th Week |
Orthogonal and orthonormal basis |
|
15th Week |
General review |
|
| Recommended or Required Reading | D. Taşcı, Lineer Cebir, Öziş Matbacılık, 2017 |
|---|
| Planned Learning Activities and Teaching Methods |
- Lecture
- Questions/Answers
- Problem Solving
|
|---|
| Assessment Methods and Criteria |
|
Quantity |
Percentage (%) |
| Mid-term |
1 |
40 |
| Total(%) |
|
40 |
| Contribution of In-term Studies to Overall Grade(%) |
|
40 |
| Contribution of Final Examination to Overall Grade(%) |
|
60 |
| Total(%) |
|
100 |
|
| ECTS Allocated Based on Student Workload |
| Activities |
Quantity |
Duration (Hour) |
Total Workload (Hour) |
| Midterm exam |
1 |
2 |
2 |
| Preparation for Quiz |
|
|
|
| Individual or group work |
13 |
4 |
52 |
| Preparation for Final exam |
1 |
28 |
28 |
| Course hours |
13 |
3 |
39 |
| Preparation for Midterm exam |
1 |
25 |
25 |
| Laboratory (including preparation) |
|
|
|
| Final exam |
1 |
2 |
2 |
| Homework |
|
|
|
| Total Work Load | 148 |
| Total Work Load / 30 (h) | 4.93 |
| ECTS Credit of the Course | 5 |
|
| Language of Instruction | Turkish |
|---|
| Work Placement(s) | No |
|---|
Programme Qualifications / Learning Outcomes
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LO1 |
LO2 |
LO3 |
LO4 |
| K1 |
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| K2 |
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| K3 |
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| K4 |
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| K5 |
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| K6 |
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| K7 |
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| K8 |
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| K9 |
X |
X |
X |
X |
| K10 |
X |
X |
X |
X |
