Course Information
SemesterCourse Unit CodeCourse Unit TitleL+PCreditNumber of ECTS Credits
7MATH451MATHEMATICS AND TECHNOLOGY3+036

Course Details
Language of Instruction English
Level of Course Unit First Cycle
Department / Program MATHEMATICS
Mode of Delivery Face to Face
Type of Course Unit Elective
Objectives of the Course To demonstrate the active and evolving character of
mathematics, and its role in the development of technologies.
Course Content Positioning on Earth and in Space: GPS. Friezes and mosaics: symmetry groups and transformations. Robotic motion. Saving and loans. Image compression: fractals and attractors. Science flashes.
Course Methods and Techniques
Prerequisites and co-requisities None
Course Coordinator None
Name of Lecturers Prof.Dr. Oktay Pashaev
Assistants None
Work Placement(s) No

Recommended or Required Reading
Resources Mathematics and Technology, Aldon, G., Hitt, F., Bazzini, L., Gellert, U. (Eds.) Springer 2017

Course Category

Planned Learning Activities and Teaching Methods
Activities are given in detail in the section of "Assessment Methods and Criteria" and "Workload Calculation"

Assessment Methods and Criteria
In-Term Studies Quantity Percentage
Midterm exams 2 % 50
Quizzes 0 % 0
Homeworks 0 % 0
Other activities 0 % 0
Laboratory works 0 % 0
Projects 0 % 0
Final examination 1 % 50
Total
3
% 100

ECTS Allocated Based on Student Workload
Activities Quantity Duration Total Work Load
Weekly Course Time 1 72 72
Outside Activities About Course (Attendance, Presentation, Midterm exam,Final exam, Quiz etc.) 1 42 42
Exams and Exam Preparations 1 72 72
Total Work Load   Number of ECTS Credits 6 186

Course Learning Outcomes: Upon the successful completion of this course, students will be able to:
NoLearning Outcomes
1 To understand basic principles of the theory
2 To be able to solve typical problems associated with this theory


Weekly Detailed Course Contents
WeekTopicsStudy MaterialsMaterials
1 Positioning on Earth and in Space
2 GPS-global positioning system
3 Friezes and Mosaics. Symmetries
4 Symmetry group and Affine transformations
5 1st Midterm
6 Robotic Motion. Moving a solid in the plane. Movement and matrices. Frames of reference for robots
7 Saving and loans. Banking. Interest. Savings
8 The WEB and Markov chains. The music scale
9 2nd Midterm
10 Image compression and Affine transformations.
11 Fractal dimension. Photographs as attractors
12 The JPEG standard
13 Optics. Law of reflection and refraction
14 Applications of conics. Pentagonal tiling of sphere.


Contribution of Learning Outcomes to Programme Outcomes
P1 P2 P3 P4 P5 P6 P7 P8 P9 P10 P11 P12 P13 P14
All 4 3 3 3 3 4 2 3 1 2 3 3 3
C1 4 3 3 3 3 4 2 3 1 2 3 3 3
C2 4 3 3 3 3 4 2 3 1 2 3 3 3

Contribution: 0: Null 1:Slight 2:Moderate 3:Significant 4:Very Significant


https://obs.iyte.edu.tr/oibs/bologna/progCourseDetails.aspx?curCourse=163247&lang=en