Course Unit Code | Course Unit Title | Type of Course | Year | Semester | ECTS |

HRT202 | Numerical Analysis | 927006 | 2 | 4 | 4 |

Level of Course Unit

First Cycle

Objectives of the Course

To give an introduction to numerical calculating processes and numerical solution of a lot of geodetic problems.

Name of Lecturer(s)

Learning Outcomes

- to learned number systems
- Matrix, general concept, inverse matrix calculation
- to solve the linear and nonlinear equation systems
- Enterpolation, extrapolation, numerical integral

Mode of Delivery

Formal Education

Prerequisites and co-requisities

None

Recommended Optional Programme Components

None

Recommended or Required Reading

Bektaş, S., Sayısal Çözümleme, Samsun, 1998.Sayısal Çözümleme, Z. Aktaş / H. Öncül, S. Ural, ODTÜ Yayınları, 413s. Sayısal Çözümleme, A. Akpınar,KTÜ-MMF yayını, 156s.Elementary Numerical Analysis, S. D. Conte, McGraw-Hill Book Company, 278 P. Numerical Methods, R. W. Hornbeck, Quantum Publishers, Inc, 310 P. Introduction of Computational Methods, K. A. Redish, The English Universities Press Ltd., 212 P.

Planned Learning Activities and Teaching Methods

Language of Instruction

Turkish

Work Placement(s)

None

Course Contents

Number systems, Matrices, basic concept, the properties of matrices, matrix inversion, direct and iteratively solution of both linear and non-linear equation systems, Interpolation: Central-difference interpolation, numerical differentiation,. numerical Integration

Weekly Detailed Course Contents

Week | Theoretical | Practice | Laboratory |

1. | Numbers and Number Systems, The error sources of Numerical analysis | ||

2. | Matrices, Matrix Types | ||

3. | Eigenvalues, eigenvectorsof the matrix | ||

4. | The calculation methods of Matrix Determinant | ||

5. | The calculation methods of inverse matrices | ||

6. | The calculation methods of inverse matrices | ||

7. | The direct Solution of linear equations systems | ||

8. | The direct Solution of linear equations with symmetric coefficients | ||

9. | The direct Solution of Non-linear equations | ||

10. | exam | ||

11. | The iterative Solution of linear and Non-linear equations | ||

12. | Prediction estimation (interpolation-extrapolation) | ||

13. | Finite Difference Method and Interpolation | ||

14. | Numerical differentiation and integration |

Assessment Methods and Criteria

SUM |

Workload Calculation

Activities | Quantity | Time(hours) | Total Workload(hours) |

Midterm Examination | 1 | 2 | 2 |

Final Examination | 1 | 2 | 2 |

Individual Study for Mid term Examination | 14 | 2 | 28 |

Individual Study for Final Examination | 10 | 8 | 80 |

SUM | 112 |