GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
Fundamentals of Mathematics-2/MTO104
Course Title: Fundamentals of Mathematics-2
Credits 3 ECTS 5
Course Semester 2 Type of The Course Compulsory
COURSE INFORMATION
 -- (CATALOG CONTENT)
 -- (TEXTBOOK)
 -- (SUPPLEMENTARY TEXTBOOK)
 -- (PREREQUISITES AND CO-REQUISITES)
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- COURSE OBJECTIVES
 -- COURSE LEARNING OUTCOMES
To be able to analyze the algebraic rings, which are an example of algebraic structure, on the basis of the Abstract Mathematics I course.
Considering the properties of polynomial rings, to find the largest common divisor of two non-zero polynomials whose coefficients are in an object using the division algorithm.
To be able to recognize number sets as abstract objects.
To be able to explain the necessity of the construction of number sets.
To be able to use relations in the construction of number sets.
To be able to use appropriate transformations to switch between number sets.
Ability to compare number sets due to their algebraic structures on number sets.
To be able to solve number problems by using related features.
To interpret the solution results.
To be able to perceive abstract concepts and present them correctly.
 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face
 --WEEKLY SCHEDULE
1. Week  Polynomial rings defined on an object.
2. Week  Division and Euclidean algorithm.
3. Week  Ebob, Ebob applications.
4. Week  Peano axioms and Natural numbers.
5. Week  Defining binary operations using the iteration theorem in a set of natural numbers.
6. Week  Algebraic structure of the set of natural numbers.
7. Week  Construction of integers and binary operations in set of integers.
8. Week  Midterm
9. Week  Rational numbers, binary operations and their properties.
10. Week  Algebraic structure of rational numbers set.
11. Week  Cauchy sequences in an ordered object.
12. Week  Construction of real numbers, binary operations on real numbers and their properties.
13. Week  Algebraic properties of the set of real numbers.
14. Week  Construction of complex numbers and binary operations in a complex number set.
15. Week  Polar form and geometric interpretation of complex numbers.
16. Week  Final exam
 -- 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
16
3
48
 Weekly Tutorial Hours
0
0
0
 Reading Tasks
0
0
0
 Searching in Internet and Library
0
0
0
 Material Design and Implementation
0
0
0
 Report Preparing
4
5
20
 Preparing a Presentation
4
5
20
 Presentation
4
5
20
 Midterm Exam and Preperation for Midterm Exam
1
1
1
 Final Exam and Preperation for Final Exam
1
2
2
 Other (should be emphasized)
5
3
15
 TOTAL WORKLOAD: 
126
 TOTAL WORKLOAD / 25: 
5.04
 Course Credit (ECTS): 
5
 -- 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 problemsX
8Developing the ability of reaching information, evaluating and presenting informationX
9Improving yourself parallel to the developing technologyX
10Understands the disciplinary structure of mathematics, its historical development, related philosophical approaches and problems.X
 -- NAME OF LECTURER(S)
   (Related lecturer)
 -- WEB SITE(S) OF LECTURER(S)
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 -- EMAIL(S) OF LECTURER(S)
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