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| DUML7260 | Navigational Mathematics. | 3+0+0 | ECTS:7.5 | | Year / Semester | Fall Semester | | Level of Course | Second Cycle | | Status | Elective | | Department | DEPARTMENT of MARITIME TRANSPORTATION and MANAGEMENT ENGINEERING | | Prerequisites and co-requisites | None | | Mode of Delivery | | | Contact Hours | 14 weeks - 3 hours of lectures per week | | Lecturer | Doç. Dr. Devran YAZIR | | Co-Lecturer | Assoc. Prof. Dr. Devran YAZIR | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | Comprehending trigonometric functions, basic identities, theorems in triangles, half-angle formulas, Mollweide formulas and triangular solutions in a plane by considering the topics of trigonometry and spherical trigonometry in plane to give information about drawing the route line. |
| Programme Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | PO - 1 : | General information about navigation, Determine the direction | 1 | 1, | | PO - 2 : | Plane trigonometry, angle and arc, trigonometric functions, basic identities | 1 | 1, | | PO - 3 : | Mollweide theorem, solutions of triangles, big circle on a sphere, spherical triangle on the sphere, properties of a spherical triangle, sine theorem on the spherical triangle, cosine theorem. | 1 | 1, | | PO - 4 : | Determination of the location of a place on the sea navigational map | 1 | 1, | | PO - 5 : | Determination of the location of a place on the sea navigational map | 1 | 1, | | PO - 6 : | World coordinate system | 1 | | | CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), PO : Learning Outcome | | |
| Definition of Navigation, History of Navigation, Types of Navigation, Classification of Navigation in Terms of Navigation, Classification in Terms of Navigation Environment, Classification in Terms of Use of Navigation, Purpose of Navigation, Navigation Elements, Universe (Universe), Solar System, Earth's Shape and Movement, World Coordinate System and Definitions , Center of the Earth, Axis of the Earth, Equator, Northern Hemisphere, South Hemisphere, Latitude, Longitude, Coordinate System Rating, Determination of the Position of a Place on Earth, Determination of Position on the Map, Latitude Difference and Calculation, Longitude Difference and Calculation, Measurement of Latitude and Longitude as Length, Plane trigonometry, angle and arc, trigonometric functions, basic identities, theorems in triangles, sine theorem, cosine theorem, half angle formulas, spherical triangle, properties of spherical triangle, sine theorem in spherical triangle, cosine theorem. |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Plane trigonometry, angle and arc, trigonometric functions, basic identities. | | | Week 2 | Theorems in triangles, sine theorem, cosine theorem, half angle formulas. | | | Week 3 | Mollweide theorem, triangle solutions, large circle on sphere, on sphere. | | | Week 4 | Spherical triangle, properties of spherical triangle, sine theorem in spherical triangle, cosine theorem. | | | Week 5 | Half angle formulas, spherical triangle solutions. | | | Week 6 | Spherical triangle solutions. | | | Week 7 | Determining the location of a place on a nautical chart.
| | | Week 8 | Determination of the location of a place on the sea navigational map. | | | Week 9 | Midterm Exam. | | | Week 10 | World coordinate system. | | | Week 11 | World coordinate system. | | | Week 12 | Marine navigational maps. | | | Week 13 | Marine navigational maps. | | | Week 14 | Marine navigational maps. | | | Week 15 | Marine navigational maps. | | | Week 16 | Final Exam. | | | |
| 1 | Robert M. R. 2020. Applied Mathematics in Integrated Navigation Systems, Third Edition, AIAA Education. | | | |
| 1 | Sait Tanrıöğen ders notları. | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | 18/04/2024 | 2 | 30 | | In-term studies (second mid-term exam) | 13 | 16/05/2024 | 2 | 20 | | End-of-term exam | 16 | 14/06/2024 | 2 | 50 | | |
| Student Work Load and its Distribution | | Type of work | Duration (hours pw) | No of weeks / Number of activity | Hours in total per term | | Yüz yüze eğitim | 3 | 16 | 48 | | Arasınav için hazırlık | 3 | 9 | 27 | | Arasınav | 1 | 2 | 2 | | Dönem sonu sınavı için hazırlık | 3 | 6 | 18 | | Dönem sonu sınavı | 1 | 2 | 2 | | Total work load | | | 97 |
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