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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 459MOTION GEOMETRY3 + 08th Semester5,5

COURSE DESCRIPTION
Course Level Bachelor's Degree
Course Type Elective
Course Objective The main objectives of this course are to provide the student with a clear presentation of the basic concepts and principles of motion geometry.
Course Content Dual Numbers, Dual Numbers Ring, Dual Vector Space, D- Modula, Inner Product in D-Modula, Norms Of Dual Vectors, External Product and Mixed Product in D-Modula, Dual Isometries, Dual Variable Functions, Dual Numbers Sequence, Analitic Dual Functions Series, Opening Analitic Dual Functions Of Power Series, Dual Integer, Dual Quaternion, Real Quaternion, Simplectic Geometry, Line Quaternion, Coplex Number Operator, Quaternion Operator; Rotation, Slip Motions, Lines Geometry, Linear Ray Complex, Linear Line Congrüans, Regle Surfaces, Dual Acceleration, Canonical Coordinate System and Axis Surfaces, Orbit Surfaces.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to Face

COURSE LEARNING OUTCOMES
1Defines the basic concepts of the geometry of motion.
2Compares the structure of Affine and Euclidean spaces.
3Proves and comment the theorem about the isometries of Euclidean space.
4Defines and classifies the motion.
5Solves problems related to transportation groups.
6Explains the dual space structure.
7Classifies the quaternions.
8Classifies the isometries.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08PO 09PO 10
LO 001   5      
LO 002  5       
LO 003    4     
LO 004          
LO 005 5        
LO 006          
LO 0074      5  
LO 008      4   
Sub Total45554 45  
Contribution1111101100

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)14342
Mid-terms15151
Final examination15050
Total Work Load

ECTS Credit of the Course






143

5,5
COURSE DETAILS
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L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes