GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
Elective Course-6 (Number Theory)/MTÖ408
Course Title: Elective Course-6 (Number Theory)
Credits 2 ECTS 4
Course Semester 8 Type of The Course Elective
COURSE INFORMATION
 -- (CATALOG CONTENT)
 -- (TEXTBOOK)
 -- (SUPPLEMENTARY TEXTBOOK)
 -- (PREREQUISITES AND CO-REQUISITES)
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- COURSE OBJECTIVES
 -- COURSE LEARNING OUTCOMES
Explains the basic concepts used in number theory.
Solves problems on divisibility and congruencies.
Prove that of Euler's, Fermat's, and Lagrange's theorems and applies.
Prove that Chinese remainder theorem and Wilson theorem, solves related problem.
Explain the Phi function and their properties.
Explain of the fundamental theorem of Algebra and proves its.
 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face.
 --WEEKLY SCHEDULE
1. Week  Definition and basic properties of integers.
2. Week  Divisibility of integers
3. Week  Divisibility of integers
4. Week  Division with rest, uniqueness of prime factorization
5. Week  Division with rest, uniqueness of prime factorization
6. Week  Phi function and their properties
7. Week  Congruencies in integers
8. Week  Midterm Exam
9. Week  Congruence Equaitons
10. Week  Euler's, Fermat's and Lagrange's theorems
11. Week  Chinese remainder theorem and Wilson theorem
12. Week  Arithmetic functions and Primitive roots
13. Week  Arithmetic functions and Primitive roots
14. Week  Preperation for Final Exam
15. Week  Final Exam
16. Week  
 -- TEACHING and LEARNING METHODS
 -- ASSESSMENT CRITERIA
 
Quantity
Total Weighting (%)
 Midterm Exams
1
40
 Assignment
0
0
 Application
0
0
 Projects
0
0
 Practice
0
0
 Quiz
0
0
 Percent of In-term Studies  
40
 Percentage of Final Exam to Total Score  
60
 -- WORKLOAD
 Activity  Total Number of Weeks  Duration (weekly hour)  Total Period Work Load
 Weekly Theoretical Course Hours
14
2
28
 Weekly Tutorial Hours
0
 Reading Tasks
12
4
48
 Searching in Internet and Library
5
3
15
 Material Design and Implementation
0
 Report Preparing
0
 Preparing a Presentation
0
 Presentation
0
 Midterm Exam and Preperation for Midterm Exam
1
3
3
 Final Exam and Preperation for Final Exam
2
3
6
 Other (should be emphasized)
0
 TOTAL WORKLOAD: 
100
 TOTAL WORKLOAD / 25: 
4
 Course Credit (ECTS): 
4
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1Acquisition of scientific thinking skillsX
2Making research and investigation independentlyX
3Acquisition of carefully observing and analytically thinking skillsX
4Acquisition of learning and teaching mathematics problemsX
5Comprehending, applying and explaining the importance of mathematical conceptsX
6Developing the thinking, producing, argumenting and probing abilitiesX
7Having the algorithm and sotftware writing abilities for solving computer supported problems
8Developing the ability of reaching information, evaluating and presenting informationX
9Improving yourself parallel to the developing technology
10Understands the disciplinary structure of mathematics, its historical development, related philosophical approaches and problems.
 -- NAME OF LECTURER(S)
   (Related Instructor)
 -- WEB SITE(S) OF LECTURER(S)
   (.)
 -- EMAIL(S) OF LECTURER(S)
   (.)