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

HRT303 | Adjustment Calculus-I | 927006 | 3 | 5 | 4 |

Level of Course Unit

First Cycle

Objectives of the Course

To give a fundamentals information of the least squares method, correlation, theory of error propagation, weight, mean error.

Name of Lecturer(s)

Learning Outcomes

- to established the normal equation, to calculate the invers matrix, the unknowns and corrections of measurements
- to learn the least absolute value adjustment and the least square adjustment
- to learn variance, covariance, corelation, variance-covariance matrix
- to establish the correction equation and linearization of these equation
- to learn the correction and error concept and relation

Mode of Delivery

Formal Education

Prerequisites and co-requisities

None

Recommended Optional Programme Components

None

Recommended or Required Reading

Bektaş, S., Dengeleme Hesabı, OMU yayınları, 2005, Samsun.

Öztürk, E., Şerbetçi, M., 1991, Dengeleme Hesabı I, KTÜ Müh. Mim. Fak, Trabzon.

Öztürk, E., Şerbetçi, M., 1987. Dengeleme Hesabı II, KTÜ Müh. Mim. Fak., Trabzon.

Öztürk, E., Şerbetçi, M., 1992. Dengeleme Hesabı III, KTÜ Müh. Mim. Fak., Trabzon 1992.

Ulsoy, E., 1974. Dengeleme Hesabı- En Küçük Kareler Metodu, İstanbul Devlet Mühendislik ve Mimarlık Akademisi, İstanbul.

Wolf, P. R., Ghilani, C. D., 1997. Adjustment Computations- Statistics and Least Squares in Surveying and GIS, New York.

Öztürk, E., Şerbetçi, M., 1991, Dengeleme Hesabı I, KTÜ Müh. Mim. Fak, Trabzon.

Öztürk, E., Şerbetçi, M., 1987. Dengeleme Hesabı II, KTÜ Müh. Mim. Fak., Trabzon.

Öztürk, E., Şerbetçi, M., 1992. Dengeleme Hesabı III, KTÜ Müh. Mim. Fak., Trabzon 1992.

Ulsoy, E., 1974. Dengeleme Hesabı- En Küçük Kareler Metodu, İstanbul Devlet Mühendislik ve Mimarlık Akademisi, İstanbul.

Wolf, P. R., Ghilani, C. D., 1997. Adjustment Computations- Statistics and Least Squares in Surveying and GIS, New York.

Planned Learning Activities and Teaching Methods

Language of Instruction

Turkish

Work Placement(s)

None

Course Contents

Error and correction concepts. Precision criterions. Correlation. Theory of error propagation. Weight. Mean error. Subject, principle and types of adjustment calculus. The least squares method. Adjustment of direct measurements. Adjustment of direct measurements on different precisions and correlations. Introduction to indirect measurement adjustment, selection of unknowns and establishment of normal equations, reduction of normal equations, mean square error of unknowns, reduction of correction equations. Station adjustment.

Weekly Detailed Course Contents

Week | Theoretical | Practice | Laboratory |

1. | The concept of error and correction terms and precision criterias | ||

2. | The matrix of Correlation, weight | ||

3. | Error propagation theory | ||

4. | The root mean square error | ||

5. | the main principles of adjustment calculation | ||

6. | The Least Squares Adjustment Method | ||

7. | the direct adjustment method | ||

8. | the indirect adjustment method | ||

9. | the selection of unknowns parameters and the astablishing of coreection equation | ||

10. | Midexam | ||

11. | The establishing, solving of the normal equations, | ||

12. | The establishing, solving of the normal equations, | ||

13. | the root mean square errors of unknowns, | ||

14. | the root mean square errors of the function of unknown |

Assessment Methods and Criteria

Term (or Year) Learning Activities | Quantity | Weight (%) |

Midterm Examination | 1 | 40 |

SUM | 40 | |

End Of Term (or Year) Learning Activities | Quantity | Weight (%) |

SUM | 0 | |

Term (or Year) Learning Activities | 40 | |

End Of Term (or Year) Learning Activities | 60 | |

SUM | 100 |

Workload Calculation

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

Midterm Examination | 1 | 5 | 5 |

Final Examination | 1 | 8 | 8 |

Attending Lectures | 14 | 3 | 42 |

Tutorial | 14 | 3 | 42 |

SUM | 97 |