Course Objectives
Students will be able to make calculations related to eigenvalues and eigenvectors of the matrix.
Rubric
| Ideal Level of Achievement | Standard Level of Achievement | Unacceptable Level of Achievement) |
Evaluation 1 | Students can accurately and quickly make calculations related to eigenvalues and eigenvectors of a given matrix. | Students can calculate the eigenvalues and eigenvectors of a given matrix. | Students cannot calculate the eigenvalues and eigenvectors of a given matrix. |
Assigned Department Objectives
Learning and Educational Objectives of the “General Engineering” A-5
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JABEE 1(2)(c)
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Diploma policy 3
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Teaching Method
Outline:
This subject is a continuation of the linear algebra in the second grade. The purpose of this subject is to understand linear algebra and improve calculational skills.
Style:
Lectures and exercises
Notice:
Students must fully understand the contents of basic mathematics A, basic mathematics B and linear algebra.
Course Plan
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Theme |
Goals |
2nd Semester |
3rd Quarter |
1st |
Linear transformation |
Definition of linear transformation
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2nd |
Linear transformation |
Definition of linear transformation
|
3rd |
Linear transformation |
Definition of linear transformation. Basic properties of linear transformation.
|
4th |
Linear transformation |
Basic properties of linear transformation Combinational linear transformation and linear inverse transformation Linear transformation representing rotation around the origin
|
5th |
Linear transformation |
Linear transformation representing rotation around the origin Orthogonal matrix and orthogonal transformation
|
6th |
Eigenvalues of matrix and its applications |
Eigenvalues and eigenvectors of a matrix
|
7th |
Linear transformation and eigenvalues of matrix |
Eigenvalues and eigenvectors of a matrix
|
8th |
exam |
|
4th Quarter |
9th |
Eigenvalues of matrix and its applications |
Calculation of matrix eigenvalues and eigenvectors
|
10th |
Eigenvalues of matrix and its applications |
Calculation of matrix eigenvalues and eigenvectors
|
11th |
Eigenvalues of matrix and its applications |
Diagonalization of matrix Conditions for matrix diagonalization
|
12th |
Eigenvalues of matrix and its applications |
Conditions for matrix diagonalization Diagonalization of symmetric matrix by orthogonal matrix
|
13th |
Eigenvalues of matrix and its applications |
Diagonalization of symmetric matrix by orthogonal matrix Application of matrix diagonalization
|
14th |
Eigenvalues of matrix and its applications |
Application of matrix diagonalization
|
15th |
exam |
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16th |
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Evaluation Method and Weight (%)
| Examination | Presentation | Mutual Evaluations between students | Behavior | Portfolio | Other | Total |
Subtotal | 80 | 0 | 0 | 0 | 20 | 0 | 100 |
Basic Ability | 80 | 0 | 0 | 0 | 20 | 0 | 100 |
Technical Ability | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
Interdisciplinary Ability | 0 | 0 | 0 | 0 | 0 | 0 | 0 |