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COURSE UNIT TITLECOURSE UNIT CODESEMESTERTHEORY + PRACTICE (Hour)ECTS
FORMATION OF REAL NUMBERS MTE739 - 3 + 0 10

TYPE OF COURSE UNITElective Course
LEVEL OF COURSE UNITDoctorate Of Science
YEAR OF STUDY-
SEMESTER-
NUMBER OF ECTS CREDITS ALLOCATED10
NAME OF LECTURER(S)-
LEARNING OUTCOMES OF THE COURSE UNIT At the end of this course, the students;
1) Know the historical development of number systems.
2) Know the teaching of different number systems.
3) Processes in different number systems.
4) Uses the concepts learned in number systems in problem solving
MODE OF DELIVERYFace to face
PRE-REQUISITES OF THE COURSENo
RECOMMENDED OPTIONAL PROGRAMME COMPONENTNone
COURSE DEFINITIONThe 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
WEEKTOPICS
1st Week The historical development of real numbers
2nd Week Se Theory
3rd Week The form of natural numbers
4th Week Teaching natural numbers using the set theory,
5th Week Construction of Integers
6th Week Teaching integers using the set theory,
7th Week Construction of the Rational Numbers and their properties
8th Week Midterm
9th Week Teaching rational numbers using the set theory,
10th Week Form of real numbers- Set of real numbers and properties
11th Week The axis of real numbers and teaching real numbers
12th Week Teaching real numbers
13th Week The development skills of solving problems.
14th Week Overview
15th Week
RECOMENDED OR REQUIRED READINGH.İ. KARAKAŞ, Matematiğin Temelleri, ODTÜ
Geliştirme Vakfı yayıncılık, 2001.
PLANNED LEARNING ACTIVITIES AND TEACHING METHODSLecture,Questions/Answers
ASSESSMENT METHODS AND CRITERIA
 QuantityPercentage(%)
Mid-term140
Total(%)40
Contribution of In-term Studies to Overall Grade(%)40
Contribution of Final Examination to Overall Grade(%)60
Total(%)100
ECTS WORKLOAD
Activities Number Hours Workload
Midterm exam
Preparation for Quiz
Individual or group work1412168
Preparation for Final exam16060
Course hours14342
Preparation for Midterm exam
Laboratory (including preparation)
Final exam11,51,5
Homework12020
Total Workload291,5
Total Workload / 309,71
ECTS Credits of the Course10
LANGUAGE OF INSTRUCTIONTurkish
WORK PLACEMENT(S)No
  

KEY LEARNING OUTCOMES (KLO) / MATRIX OF LEARNING OUTCOMES (LO)
LO1LO2LO3LO4
K1  X   X   X   X
K2       
K3       
K4  X   X   X   X
K5  X   X   X   X
K6       
K7       
K8       
K9       
K10       
K11       
K12