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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS MAT 4075 HISTORY OF MATHEMATICS ELECTIVE 4 0 0 7

Offered By

Mathematics (English)

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR ILHAN KARAKILIÇ

Offered to

Mathematics (English)

Course Objective

The aim of this course is to improve the mathematics culture of the future teachers of maths and to provide an invitation to mathematics in general. It establishes the fundamentals of the modern mathematics.

Learning Outcomes of the Course Unit

1   Will be able to state the early beginnings of mathematics. 2   Will be able to determine the development of mathematics. 3   Will be able to define the relation between culture and mathematics. 4   Will be able to express why mathematics is qualitatively same from the beginning. 5   Will be able to express how ancient mathematicians influence todays mathematics.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description 1 Early Mathematics: Prehistory. Geometry in the New Stone Age. Ethnomathematics. 2 The Great River Civilizations and Mathematics. 3 Greek and Hellenic Mathematics. 4 Integers and Rational Numbers. The Discovery of Irrational Numbers. 5 The Classical Problems: Squaring the Circle, Doubling the Cube, Trisecting the Angles. 6 Euclid and his Elements. Archimedes and 3:2 . 7 The Roman Empire. 8 Problem solving session Midterm 9 Mathematics in the Dark Middle Ages. 10 Reawakening: A New Dawn in Europe. 11 Geometry and the Real World. 12 Axiomatic Geometry: The Postulates of Euclid and Hilbert s Explanation. 13 Logic and Intuitive Set Theory. Axioms, Axiomatic Theorems and Models. Projective Spaces. 14 Making Things Precise. Relations and Their Uses. Rational Polynomials. Number Fields and Field Extensions.

Recomended or Required Reading

Textbook(s): Holme, A., Geometry "Our Cultural Heritage", Springer, 2002. Supplementary Book(s): Dunham, W., Journey Through Jenius. Penguin Books, 1991.

Planned Learning Activities and Teaching Methods

Textbook, Presentation

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA 1 MTE MIDTERM EXAM 2 FIN FINAL EXAM 3 FCG FINAL COURSE GRADE MTE * 0.50 + FIN * 0.50 4 RST RESIT 5 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.50 + RST * 0.50

Further Notes About Assessment Methods

None

Assessment Criteria

Midterm, Final

Language of Instruction

English

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

ilhan.karakilic@gmail.com +90(232) 301 85 89

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Lectures 14 4 56 Preparations before/after weekly lectures 14 4 56 Preparation for midterm exam 1 30 30 Preparation for final exam 1 30 30 Midterm 1 3 3 Final 1 3 3 TOTAL WORKLOAD (hours) 178

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 PO.12 PO.13 LO.1 5 5 5 4 5 5 LO.2 5 5 5 5 5 5 5 5 5 5 5 LO.3 5 5 5 3 5 5 5 5 4 LO.4 5 5 5 5 LO.5 5 5 5 5 4 5 5 5 4