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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS MAT 5079 MATHEMATICS AND TECHNOLOGY ELECTIVE 3 0 0 7

Offered By

Graduate School of Natural and Applied Sciences

Level of Course Unit

Second Cycle Programmes (Master's Degree)

Course Coordinator

PROFESSOR DOCTOR HALIL ORUÇ

Offered to

Mathematics Mathematics

Course Objective

The aim of this course is to present essential idea behind real applications of mathematics in technology. It also aims to initiate students into the process of modelling as a path to the development of various mathematical applications.

Learning Outcomes of the Course Unit

1   1. Will be able to demonstrate applications of mathematics 2   2. Will be able to apply geometric modeling 3   3. Will be able to apply linear algebra techniques in modeling 4   4. Will be able to use mathematics software to solve problems

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description 1 GPS: Global Positioning System Ch.1 2 Robotic Motion Ch.3 3 Bezier and B-spline curves Notes 4 Savings and Loans Ch.5 5 Error-Correcting Codes Ch.6 6 Public Key Cryptography Ch.7 7 Random-Number Generators Ch.8 8 Google and the PageRank Algorithm Ch.9 9 Why 44,100 Samples per Second (Musical scale) Ch.10 10 Image Compression: Iterated Function Systems Ch.11 11 Image Compression: The JPEG Standard Ch.12 12 The DNA Computer Ch.13 13 Calculus of Variations Ch.14 14 Science Flashes Ch.15

Recomended or Required Reading

C. Rousseau, Y. Saint-Aubin, Mathematics and Technology, Springer Science Business Media New York 2008. ISBN: 978-0-387-69215-9 e-ISBN: 978-0-387-69216-6 DOI: 10.1007/978-0-387-69216-6

Planned Learning Activities and Teaching Methods

Lecture notes Presentation Problem solving

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA 1 ASG ASSIGNMENT 2 FIN FINAL EXAM 3 FCG FINAL COURSE GRADE ASG * 0.50 + FIN * 0.50 4 RST RESIT 5 FCGR FINAL COURSE GRADE (RESIT) ASG * 0.50 + RST * 0.50 *** Resit Exam is Not Administered in Institutions Where Resit is not Applicable.

Further Notes About Assessment Methods

None

Assessment Criteria

Homework(Project+Presentation) % 50 Final Exam % 50

Language of Instruction

English

Course Policies and Rules

%70 attandence is mandotary.

Contact Details for the Lecturer(s)

e-mail: halil.oruc@deu.edu.tr Office: (232) 301 85 77, B205 DEÜ Fen Fakültesi Matematik

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 13 4 52 Preparation for final exam 1 30 30 Preparing presentations 1 15 15 Preparing assignments 1 35 35 Final 1 3 3 TOTAL WORKLOAD (hours) 174

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 4 5 4 5 5 4 3 5 5 3 LO.2 4 4 4 3 4 5 5 3 LO.3 4 4 5 3 4 5 5 3 LO.4 4 4 5 3 4 5 5 3