Erciyes University - Info Package

Course unit title	Level of course unit	Course unit code	Type of course unit	Semester of course unit	Local credit	ECTS credit	Syllabus
TECHNICAL TRIGONOMETRY	First cycle	MAT 106		2	3.00	3.00	Print

Description of course unit

Prerequisites and course requisities	No
Language of instruction	Turkish
Coordinator	PROF. DR. ERKAN BEŞDOK
Lecturer(s)	PROF. DR. ERKAN BEŞDOK
Teaching assitant(s)	---
Mode of delivery	Presentation of theory in line with text book and elaboration with the help of sample problem solving activities.
Course objective	Knowing sphere geometry and spherical geometries, understending spherical triagle problem solving methods and thus be prepared for spherical projection calculations which requires complex calculation.
Course description	Spherical geometry, spherical objects (surfaces and solids), calculation of spherical triangles, spherical coordinate systems.

Course contents

1	Spherical geometry, spherical objects (surfaces and solids).
2	Spherical geometry, spherical objects (surfaces and solids).
3	The concept of spherical triangle and its basic properties.
4	Spherical triangle theorems and sample problem calculations (Sinus Theorem, Edge-Kosinus Theorem).
5	Spherical triangle theorems and sample problem calculations (Angle-Cosinus Theorem, Sinus-Cosinus Theorem).
6	Spherical triangle theorems and sample problem calculations (Four Part / Cotengent Theorem, Semi Edge Equations).
7	Spherical triangle theorems and sample problem calculations (Semi-Angle Equations, Neper Equations).
8	Spherical right triangle theorem (Neper Rule).
9	Sample calculations of spherical right triangle for six different input types.
10	All sample alternative calculations of spherical triangle for six different input types.
11	All sample alternative calculations of spherical triangle for six different input types.
12	Spherical coordinate systems.
13	Transformations between geographical coordinate system and spherical cartesien coordinate system.
14	Spherical triangle problem calculations by using geographic coordinate system.
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Learning outcomes of the course unit

1	Development of 3D thinking ability by elaborating spherical geometry and spherical objects.
2	Perception of the fact that calculations on sphere which resemple the shape ot the earth are far harder when compared with plane surface.
3	Elaboration of basic spherical triangle theorems.
4	Understanding spherical coordinate systems.
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*Contribution level of the course unit to the key learning outcomes

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Number of stars refer to level of contribution from 1 (the least) to 5 (the most)

Planned learning activities, teaching methods and ECTS work load

	Quantity	Time (hour)	Quantity*Time (hour)
Lectures (face to face teaching)	13	2	26
Study hours out of classroom (study before and after the class)	13	1	13
Homework	3	1	3
Presentation / seminar	0	0	0
Quiz	0	0	0
Preparation for midterm exams	1	12	12
Midterm exams	1	2	2
Project (term paper)	0	0	0
Laboratuar	0	0	0
Field study	0	0	0
Preparation for final exam	1	16	16
Final exam	1	2	2
Research	0	0	0
Total work load			74
ECTS			3.00

Assessment methods and criteria

Evaluation during semester	Quantity	Percentage
Midterm exam	1	100
Quiz	0	0
Homework	0	0
Semester total		100
Contribution ratio of evaluation during semester to success		40
Contribution ratio of final exam to success		60
General total		100

Recommended and required reading

Textbook	Ekrem Ulsoy (1969). Plane and Spherical Trigonometry (in Turkish), Birsen Kitabevi Yayınları, İstanbul.
Additional references	Burhan C. IŞIK (2006). Spherical Trigonometry (in Turkish), Yıldız Teknik Üniversitesi Basım-Yayın Merkezi, İstanbul.

Files related to the course unit