COURSE UNIT TITLE

: SPHERICAL TRIGONOMETRY

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
MTE 2135 SPHERICAL TRIGONOMETRY COMPULSORY 2 0 0 2

Offered By

Marine Transportation Engineering (English)

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSISTANT PROFESSOR EMIN DENIZ ÖZKAN

Offered to

Marine Transportation Engineering (English)

Course Objective

Bringing mathematical ability about navigation and astronomical problems to the students. Providing students the ability of adapting the plane geometrical properties to the problems of the earth.

Learning Outcomes of the Course Unit

1   Understanding spherical geometry
2   Understanding earth s unique shape and mathematical solutions to real distance problems
3   Understanding about trigonometric functions and theorems about spherical geometry
4   Analyzing and evaluating ship and airplane routes
5   Evaluating solutions to real life applications of spherical geometry

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Trigonometric functions and their characteristics
2 Exponential functions, logarithm functions and their characteristics
3 The usage of the logarithm table and examples
4 Space geometry and sphere
5 Great circles and small circles
6 Spherical triangles, Law of Cosines, Law of Sines, Napier's rules
7 Haversine formula, the usage of Haversine table, and logarithm table of trigonometric functions
8 Great circle sailing and its characteristics
9 Great circle sailing calculations - If departure and destination points are in the same hemisphere
10 Great circle sailing calculations - If departure and destination points are in different hemispheres
11 Examples of great circle sailing planning
12 Examples of great circle sailing planning
13 The usage of Gnomonic and Mercator charts
14 Composite great circle sailing

Recomended or Required Reading

-Öğ. Gör. Yıldız DARYAL , 1991, Küresel Trigonometri , I.T.Ü. Denizcilik Yüksekokulu.
-J. H. Clough-Smith, 1978, Introduction to spherical trigonometry : with practical examples, for students of navigation, hydrographic surveying and nautical astronomy, Glasgow : Interscience Pub. 2nd Edition.
-Frank Ayres, 1954, Schaum's outline of theory and problems of plane and spherical trigonometry, New York : Schaum Pub. Co.

Planned Learning Activities and Teaching Methods

Lectures, presentations, homework, Q&A sessions and exams

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 FINS FINAL EXAM
3 FCG FINAL COURSE GRADE MTE * 0.40 + FINS * 0.60
4 RST RESIT
5 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.40 + RST * 0.60


Further Notes About Assessment Methods

None

Assessment Criteria

Knowledge about spherical trigonometry at undergraduate level, having skills and competencies, research, analysis, interpretation, verbal and written expression, innovation, creativity and entrepreneurial skills and competencies will be evaluated.

Language of Instruction

English

Course Policies and Rules

Continuity is %70. Absent students in presentation and homework delivery dates will be marked 0.

Contact Details for the Lecturer(s)

Asst. Prof. Dr. Emin Deniz Özkan
deniz.ozkan@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 14 2 28
Preparing assignments 1 15 15
Preparation for midterm exam 1 5 5
Preparation for final exam 1 10 10
Midterm 1 2 2
Final 1 2 2
TOTAL WORKLOAD (hours) 62

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14PO.15PO.16PO.17
LO.15355
LO.25335
LO.3533
LO.453335
LO.5533355555