GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
CONSTRUCTION OF NUMBERS/4440015
Course Title: CONSTRUCTION OF NUMBERS
Credits 3 ECTS 7.5
Semester 1 Compulsory/Elective Elective
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- NAME OF LECTURER(S)
  Prof. Dr. Ziya Argün
 -- WEB SITE(S) OF LECTURER(S)
   www.gazi.edu.tr/~ziya
 -- EMAIL(S) OF LECTURER(S)
  ziya@gazi.edu.tr,
 -- LEARNING OUTCOMES OF THE COURSE UNIT
They should be able understand how to construct natural numbers, real numbers.
They should be able understand the properties of real numbers and they should be able to use use these knowledge skilfully whenever they need.







 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face thruogh inquiry and discussion
 -- PREREQUISITES AND CO-REQUISITES
  There is no prerequisite or co-requisite for this course.
 -- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS
  There is no recommended optional programme component for this course.
 --COURSE CONTENT
1. Week  Instruction
2. Week  The Natural Number. Addition, Multiplication in N
3. Week  Semi groups Order in N
4. Week  Generalized Associative and Commutative Laws
5. Week  Counting
6. Week  The Integers
7. Week  Addition, Multiplication in Z
8. Week  Rings
9. Week   Order in Z
10. Week  Embedding
11. Week  Isomorphism
12. Week  Rational Numbers
13. Week  Addition, Multiplication in Q
14. Week   Fields, Order. Embedding. Ordered Fields. Absolute Value
15. Week  The Reel Numbers. Addition, Multiplication in R. Order in R
16. Week  Completeness of R, Equivalent, Characterizations of R
 -- RECOMMENDED OR REQUIRED READING
  Leon W. Cohen, and, Gertrude Ehrlich, “The Structure of the Real Number System” , D. Van Nostrand Comp. Inc. Princeton, New Jersey.
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Lecture, Question & Answer, Demonstration, Drill - Practise
 -- WORK PLACEMENT(S)
  -
 -- ASSESSMENT METHODS AND CRITERIA
 
Quantity
Percentage
 Mid-terms
1
20
 Assignment
1
30
 Exercises
0
0
 Projects
0
0
 Practice
0
0
 Quiz
0
0
 Contribution of In-term Studies to Overall Grade  
50
 Contribution of Final Examination to Overall Grade  
50
 -- WORKLOAD
 Efficiency  Total Week Count  Weekly Duration (in hour)  Total Workload in Semester
 Theoretical Study Hours of Course Per Week
14
4
56
 Practising Hours of Course Per Week
14
2
28
 Reading
14
1
14
 Searching in Internet and Library
14
1
14
 Designing and Applying Materials
0
 Preparing Reports
0
 Preparing Presentation
0
 Presentation
14
1
14
 Mid-Term and Studying for Mid-Term
7
4
28
 Final and Studying for Final
7
5
35
 Other
0
 TOTAL WORKLOAD: 
189
 TOTAL WORKLOAD / 25: 
7.56
 ECTS: 
7.5
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1X
2X
3X
4X
5X
6X
7X
8X
9X
10X