Information Of Programmes

FACULTY OF LETTERS & SCIENCE / MAT383 - MATHEMATICS

Code: MAT383

Course Title: KINEMATIC I

Theoretical+Practice: 4+0

ECTS: 6

Year/Semester of Study

3 / Fall Semester

Level of Course

1st Cycle Degree Programme

Type of Course

Optional

Department

MATHEMATICS

Pre-requisities and Co-requisites

None

Mode of Delivery

Face to Face

Teaching Period

14 Weeks

Name of Lecturer

ESMA DEMİR ÇETİN (esma.demir@nevsehir.edu.tr)

Name of Lecturer(s)

ESMA DEMİR ÇETİN, ÇAĞLA RAMİS,

Language of Instruction

Turkish

Work Placement(s)

None

Objectives of the Course

Giving basic information about kinematics that the student will need during undergraduate and graduate education. And to figure out how to go about solving problems.

Learning Outcomes		PO	MME
The students who succeeded in this course:
LO-1	Learn the structure of transformation groups in space.	PO-1 Have the ability to conceptualize the events and facts related to the field of mathematics such as Analysis, Geometry and Algebra with the help of the scientific methods and techniques and can define these concepts. PO-5 Develop suitable material for a subject on a mathematical area, to use the knowledge and experience gains with different methods	Examination Performance Project
PO: Programme Outcomes MME:Method of measurement & Evaluation

Course Contents
Introduction to spatial transformations, Translation in space, Rotation in space, Euler’s Theorem, Methods of finding rotation axis, Angle of rotation, Determine the rotation equation with axis and angle, Reflection according to a point, Reflection above a line, Reflection above a plane, Invariants of reflection in space, Glide, Determine the axis of glide, Expressing the glide in solid movements
Weekly Course Content
Week	Subject	Learning Activities and Teaching Methods
1	Introduction to spatial transformations	Speech, Problem Solving
2	Translation in space	Speech, Problem Solving
3	Rotation in space	Speech, Problem Solving
4	Euler’s Theorem	Speech, Problem Solving
5	Methods of finding rotation axis	Speech, Problem Solving
6	Angle of rotation	Speech, Problem Solving
7	Determine the rotation equation with axis and angle	Speech, Problem Solving
8	mid-term exam
9	Reflection according to a point	Speech, Problem Solving
10	Reflection above a line	Speech, Problem Solving
11	Reflection above a plane	Speech, Problem Solving
12	Invariants of reflection in space	Speech, Problem Solving
13	Glide	Speech, Problem Solving
14	Determine the axis of glide	Speech, Problem Solving
15	Expressing the glide in solid movements	Speech, Problem Solving
16	final exam
Recommend Course Book / Supplementary Book/Reading
1	J. M. McCarthy, Introduction to Theoretical Kinematics, MIT Press, 1990.
2	Hacısalihoğlu, H.Hilmi. Hareket Geometrisi ve Kuaterniyonlar Teorisi, Gazi Üniversitesi Fen-Edebiyat Fakültesi, Matematik Bölümü.,1983
3	Ward, J.P. Quaternions and Cayley Numbers, Kluwer Academic Publisher, 1997
Required Course instruments and materials

Assessment Methods
Type of Assessment	Week	Hours	Weight(%)
mid-term exam	8	2	40
Other assessment methods
1.Oral Examination
2.Quiz
3.Laboratory exam
4.Presentation
5.Report
6.Workshop
7.Performance Project
8.Term Paper
9.Project
final exam	16	2	60

Student Work Load
Type of Work	Weekly Hours	Number of Weeks	Work Load
Weekly Course Hours (Theoretical+Practice)	4	14	56
Outside Class
a) Reading			0
b) Search in internet/Library	1	14	14
c) Performance Project			0
d) Prepare a workshop/Presentation/Report			0
e) Term paper/Project	1	5	5
Oral Examination			0
Quiz			0
Laboratory exam			0
Own study for mid-term exam	3	14	42
mid-term exam	1	14	14
Own study for final exam	3	14	42
final exam	1	14	14
			0
			0
Total work load;			187