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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS MAT 6049 LINE GEOMETRY ELECTIVE 3 0 0 8

Offered By

Graduate School of Natural and Applied Sciences

Level of Course Unit

Second Cycle Programmes (Master's Degree)

Course Coordinator

ASSOCIATE PROFESSOR ILHAN KARAKILIÇ

Offered to

Mathematics (English) Mathematics (English)

Course Objective

The aim of this course is to define the basic definitions of the line geometry, and study the ruled surfaces, the line congruences and the line complexes.

Learning Outcomes of the Course Unit

1   will be able to understand some models of line spaces 2   will be able to learn the application of linear complexes to spatial kinematics 3   will be able to learn the application of linear complexes to screw theory 4   will be able to understand the ruled surfaces detailed 5   will be able to define the line congrunces and the line complexes

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description 1 Real Projective Geometry 2 Models of Line Space 3 Plücker Coordinates, Study Sphere 4 Linear Complexes 5 Applications of Linear Complexes to Spatial Kinematics 6 Applications of Linear Complexes to Spatial Kinematics 7 Ruled Surfaces 8 Problem Solving Midterm 9 Offset Surfaces 10 Developable surfaces 11 Line Congruences 12 Line Complexes 13 Linear Line Mappings 14 Kinematic Mappings

Recomended or Required Reading

Textbook(s): H. Pottmann, J. Wallner, Computational Line Geometry, Springer Verlag, Berlin, 2001

Planned Learning Activities and Teaching Methods

Lecture notes Problem solving

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA 1 ASG ASSIGNMENT 2 MTE MIDTERM EXAM 3 FIN FINAL EXAM 4 FCG FINAL COURSE GRADE ASG * 0.30 + MTE * 0.30 + FIN * 0.40 5 RST RESIT 6 FCGR FINAL COURSE GRADE (RESIT) ASG * 0.30 + MTE * 0.30 + RST * 0.40

Further Notes About Assessment Methods

None

Assessment Criteria

To be announced.

Language of Instruction

English

Course Policies and Rules

Attending at least 70 percent of lectures is mandatory.

Contact Details for the Lecturer(s)

E-Mail: ilhan.karakilic@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Lectures 13 3 39 Preparations before/after weekly lectures 14 5 70 Preparation for midterm exam 1 20 20 Preparation for final exam 1 30 30 Preparing assignments 4 10 40 Midterm 1 3 3 Final 1 3 3 TOTAL WORKLOAD (hours) 205

Contribution of Learning Outcomes to Programme Outcomes

PO/LO PO.1 PO.2 PO.3 PO.4 PO.5 PO.6 PO.7 PO.8 PO.9 PO.10 PO.11 LO.1 5 5 5 5 5 5 5 5 5 LO.2 5 5 5 5 5 5 5 5 5 LO.3 5 5 5 5 5 5 5 5 5 LO.4 5 5 5 5 5 5 5 5 5 LO.5 5 5 5 5 5 5 5 5 5