FORMATION OF REAL NUMBERS

MTE739

Course Code: MTE739
Semester: -
Theory+Practice: 3 + 0
ECTS: 10

Course Type

Elective Course

Course Level

Doctorate Of Science

Year of Study

Semester

ECTS

Name of Lecturer(s)

Learning Outcomes

At the end of this course, the students;

Know the historical development of number systems.
Know the teaching of different number systems.
Processes in different number systems.
Uses the concepts learned in number systems in problem solving

Mode of Delivery

Face to face

Prerequisites

Recommended Optional Programme Components

Abstract Mathematics

Course Description

The historical development of real numbers; Using the set theory, teaching natural numbers, integer numbers, and rational numbers. The axis of real numbers and teaching real numbers; The development skills of solving problems.

Course Contents

WEEK	TOPICS
1^st Week	The historical development of real numbers
2^nd Week	Se Theory
3^rd Week	The form of natural numbers
4^th Week	Teaching natural numbers using the set theory,
5^th Week	Construction of Integers
6^th Week	Teaching integers using the set theory,
7^th Week	Construction of the Rational Numbers and their properties
8^th Week	Midterm
9^th Week	Teaching rational numbers using the set theory,
10^th Week	Form of real numbers- Set of real numbers and properties
11^th Week	The axis of real numbers and teaching real numbers
12^th Week	Teaching real numbers
13^th Week	The development skills of solving problems
14^th Week	The development skills of solving problems
15^th Week	Overview

Recommended or Required Reading

H.İ. KARAKAŞ, Matematiğin Temelleri, ODTÜ Geliştirme Vakfı yayıncılık, 2001.

Planned Learning Activities and Teaching Methods

Lecture
Questions/Answers

Assessment Methods and Criteria

	Quantity	Percentage (%)
Mid-term	1	40
Total(%)		40
Contribution of In-term Studies to Overall Grade(%)		40
Contribution of Final Examination to Overall Grade(%)		60
Total(%)		100

ECTS Allocated Based on Student Workload

Activities	Quantity	Duration (Hour)	Total Workload (Hour)
Midterm exam
Preparation for Quiz
Individual or group work	14	12	168
Preparation for Final exam	1	60	60
Course hours	14	3	42
Preparation for Midterm exam
Laboratory (including preparation)
Final exam	1	1.5	1.5
Homework	1	20	20
Total Work Load			291.5
Total Work Load / 30 (h)			9.71
ECTS Credit of the Course			10

Language of Instruction

Turkish

Work Placement(s)

Programme Qualifications / Learning Outcomes

	LO1	LO2	LO3	LO4
K1	X	X	X	X
K2
K3
K4	X	X	X	X
K5	X	X	X	X
K6
K7
K8
K9
K10
K11
K12