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Matrix Algebra

Course Code | : BİS539 |

Course Type | : Area Elective |

Couse Group | : Second Cycle (Master's Degree) |

Education Language | : Turkish |

Work Placement | : N/A |

Theory | : 2 |

Prt. | : 0 |

Credit | : 2 |

Lab | : 0 |

ECTS | : 4 |

Objectives of the Course

The aim of the course is to make students aware of systems of linear equations and their solutions.

Course Content

Systems of linear equations, their applications, and solutions; matrix operations, inverses and determinants of matrices; linear independence, the rank of a matrix, and the Gram-Schmidt process, eigenvalues, eigen-vectors, singular value decomposition.

Name of Lecturer(s)

Learning Outcomes

1. | To know the concept of matrix and matrix types |

2. | Learning the determinant calculation and its properties |

3. | To be able to calculate eigenvalues of matrices and eigenvectors corresponding to these eigenvalues |

4. | To know the matrix functions and calculate some norms of the matrix |

5. | Know the Solution of linear equations by using matrix algebra |

Recommended or Required Reading

Weekly Detailed Course Contents

Week 1 - Theoretical

Matrix calculations

Week 2 - Theoretical

The inverse and determinant of the matrix

Week 3 - Theoretical

Linear independency

Week 4 - Theoretical

Orthogonality

Week 5 - Theoretical

The process of Gram-Schimdt-1

Week 6 - Theoretical

The process of Gram-Schimdt-2

Week 7 - Theoretical

Eigenvalue-Eigenvector

Week 8 - Intermediate Exam

Midterm exam

Week 9 - Theoretical

Decomposition of eigenvalue and eigenvector-1

Week 10 - Theoretical

Decomposition of eigenvalue and eigenvector-2

Week 11 - Theoretical

Singular values

Week 12 - Theoretical

Singular value decomposition

Week 13 - Theoretical

Linear equation systems

Week 14 - Theoretical

The application and solutions of linear eguation systems

Week 15 - Theoretical

Literature review and discussion

Week 16 - Final Exam

Final exam

Assessment Methods and Criteria

Type of Assessment | Count | Percent |
---|---|---|

Midterm Examination | 1 | %40 |

Final Examination | 1 | %60 |

Workload Calculation

Activities | Count | Preparation | Time | Total Work Load (hours) |
---|---|---|---|---|

Lecture - Theory | 14 | 0 | 2 | 28 |

Assignment | 1 | 10 | 0 | 10 |

Quiz | 10 | 2 | 1 | 30 |

Midterm Examination | 1 | 10 | 2 | 12 |

Final Examination | 1 | 20 | 2 | 22 |

TOTAL WORKLOAD (hours) | 102 |

Contribution of Learning Outcomes to Programme Outcomes

PÇ-1 | PÇ-2 | PÇ-3 | PÇ-4 | PÇ-5 | PÇ-6 | PÇ-7 | PÇ-8 | PÇ-9 | PÇ-10 | |

OÇ-1 | ||||||||||

OÇ-2 | ||||||||||

OÇ-3 | ||||||||||

OÇ-4 | ||||||||||

OÇ-5 | 3 | 3 | 4 | 4 | 2 | 2 | 3 | 2 | 3 | 3 |

Person Responsible for Information Package

Adnan Menderes University - Information Package / Course Catalogue