COURSE UNIT TITLE

: SPHERICAL TRIGONOMETRY

DEGREE PROGRAMMES

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

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASISTANT PROFESSOR BURAK KÖSEOĞLU

Offered to

Marine Transportation Engineering

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 Relations on Right Angled Triangle
2 Trigonometric Functions
3 The Properties of Trigonometric Functions and Applications
4 Exponential Fucntions, Logarithm Functions and Their Properties
5 The Usage of Logarithm Table and Examples
6 Space Geometry and Sphere
7 Mid Term Exam
8 Spherical Triangle and Cosine Formula, Sine Formula and Applications of Sine and Cosine Formula
9 Great Circle Navigation Specifications of Great Circle
10 Great Circle Navigation Planning Methods Great Circle Methods
11 Gnomonic Marcator Methods
12 Lambert Method Convergency angle solution
13 Spherical Triangle Solutions Celestial Navigation Solutions
14 Combined Navigation

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 FIN FINAL EXAM MD * 0.30 + HW * 0.20 + FN * 0.50
3 RST RESIT
4 FCGR FINAL COURSE GRADE (RESIT) MD * 0.30 + HW * 0.20 + BUT * 0.50
5
6


*** Resit Exam is Not Administered in Institutions Where Resit is not Applicable.

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)

email:emre.ucan@deu.edu.tr
tel: 0532 4096245

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

CONTACT INFORMATION
Dokuz Eylül Üniversitesi Cumhuriyet Bulvarı No: 144 35210 Alsancak / İZMİR
Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

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