COURSE UNIT TITLE

: FIELD ELC. 1 (MATHEMATICS OLYMPIADS: ALGEBRA AND NUMBERS)

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
LMÖ 2007 FIELD ELC. 1 (MATHEMATICS OLYMPIADS: ALGEBRA AND NUMBERS) ELECTIVE 2 0 0 4

Offered By

Mathematics Teacher Education

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR HASIBE SEVGI MORALI

Offered to

Mathematics Teacher Education

Course Objective

Training of teachers (therefore, teacher candidates) who will train students who will compete in high school school mathematics olympiads on this subject.

Learning Outcomes of the Course Unit

1   To have the general culture of secondary school olympic mathematics.
2   To know the Olympic concepts in the field of number theory.
3   To know the Olympic concepts in finite mathematics.
4   To know the Olympic concepts in the field of analysis.
5   To know the Olympic concepts in the field of geometry.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Systems of Equations
2 Repunits
3 Sophie German Identity
4 Inequalities
5 Reduced sequences
6 Trigonometric Variable Substitution
7 Telescopic Sums and Products in Algebra
8 General review, course evaluation, midterm exam
9 Divisibility and Prime Numbers
10 Infinite Sums and Differences in Trigonometry
11 Pigeon nest principle
12 Exponential Diophantine Equations
13 residual
14 Viete Theorems
15 Final Exam

Recomended or Required Reading

Main source: Matematik Olimpiyatlarına Hazırlık 1 (2023), Mustafa Özdemir, Altı Nokta Yayınları
Matematik Olimpiyatlarına Hazırlık 2 (2023), Mustafa Özdemir, Altı Nokta Yayınları
Matematik Olimpiyatlarına Hazırlık 3 (2023), Mustafa Özdemir, Altı Nokta Yayınları
Matematik Olimpiyatlarına Hazırlık 4 (2023), Mustafa Özdemir, Altı Nokta Yayınları
Matematik Olimpiyatlarına Hazırlık 5 (2023), Mustafa Özdemir, Altı Nokta Yayınları
Zekeriya Güney, Murat Özkoç (2015). Soyut Matematik, Dinazor Kitabevi
Helpful resources: Fethi Çallıalp, (1995) Örneklerle Soyut Matematik, Istanbul Teknik Üniversitesi Yayınları
References:
Other course materials: Internet, lecture notes

Planned Learning Activities and Teaching Methods

Lecture, discussion, question-answer, problem solving, active learning techniques, group work.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 VZ Midterm
2 FN Semester final exam
3 BNS BNS Student examVZ * 0.40 + Student examFN * 0.60
4 BUT Make-up note
5 BBN End of make-up grade Student examVZ * 0.40 + Student examBUT * 0.60


Further Notes About Assessment Methods

None

Assessment Criteria

Assessment of students is measured by midterm and final exams in line with the learning outcomes.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

sevgi.morali@deu.edu.tr

Office Hours

It will be announced at the beginning of the semester.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 2 26
Preparations before/after weekly lectures 13 3 39
Preparation for midterm exam 1 15 15
Preparation for final exam 1 20 20
Final 1 2 2
Midterm 1 2 2
TOTAL WORKLOAD (hours) 104

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14PO.15PO.16PO.17PO.18
LO.143535445442
LO.2433555545453
LO.343345345432
LO.443345345442
LO.543545345442

CONTACT INFORMATION
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Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

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