GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
FUNDAMENTALS OF MATHEMATICS I/MAT105A
Course Title: FUNDAMENTALS OF MATHEMATICS I
Credits 3 ECTS 6
Semester 1 Compulsory/Elective Compulsory
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- NAME OF LECTURER(S)
  Prof. Dr. Ahmet Arıkan
 -- WEB SITE(S) OF LECTURER(S)
  http://websitem.gazi.edu.tr/site/arikan
 -- EMAIL(S) OF LECTURER(S)
  arikan@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
Using the language of logic, students can do mathematical reasoning. They also produce new propositions by given proposition using logical conjunction
Students know the notions of tautology and contradiction and use them in mathematics.
Students know and use logical equivalence rules.
Students can use open propositions and quantifiers in mathematics. They know and use proof techniques.
Students know the primitive notions set and being element. Also they are aware of the fact that not every family is a set.
Students know and use the notions subset, union, intersection, absolute complement and relative complement.
Students can work with set families.
Students know and use the notions of cartesian product and relation and their properties
Students know functions and comprehend its crutial importance in math. They can use the properties of functions and the techniques of produce new fun
They know the meaning of the inverse of a relation and in particular function and they can use the related results.
 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face.
 -- 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  Propositions, logical conjectives and truth tables.
2. Week  Tautology and contradictions. Logical equivalence. Some rules of logical equivalence.
3. Week  Logical implications. Some rules of Logical inference.
4. Week  Open propositions, quantifiers.
5. Week  Open propositions (with two or three variables), quantifiers.
6. Week  Proof techniques.
7. Week  Proof techniques continues.
8. Week  Visa Exam.
9. Week  Sets, Subsets.
10. Week  Set operations and laws of set theory.
11. Week  Some advanced notion in sets
12. Week  Cartesian products and relations
13. Week  Some properties of relations, equivalence relations and equivalent classes
14. Week  Ordering relations and related notions
15. Week  Functions and some of its properties
16. Week  Inverse of a functions and some special functions.
 -- RECOMMENDED OR REQUIRED READING
  Soyut Matematik (Ahmet Arıkan- Sait Halıcıoğlu) Books in the library.
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Student centered education. Using prepared activities (first students work) and next study on the activities as whole class.
 -- WORK PLACEMENT(S)
  Two hours for problem solving.
 -- ASSESSMENT METHODS AND CRITERIA
 
Quantity
Percentage
 Mid-terms
1
30
 Assignment
4
4
 Exercises
0
0
 Projects
2
2
 Practice
0
0
 Quiz
1
4
 Contribution of In-term Studies to Overall Grade  
40
 Contribution of Final Examination to Overall Grade  
60
 -- WORKLOAD
 Efficiency  Total Week Count  Weekly Duration (in hour)  Total Workload in Semester
 Theoretical Study Hours of Course Per Week
14
2
28
 Practising Hours of Course Per Week
14
2
28
 Reading
5
2
10
 Searching in Internet and Library
5
3
15
 Designing and Applying Materials
7
3
21
 Preparing Reports
5
2
10
 Preparing Presentation
1
2
2
 Presentation
2
3
6
 Mid-Term and Studying for Mid-Term
6
2
12
 Final and Studying for Final
6
2
12
 Other
0
0
0
 TOTAL WORKLOAD: 
144
 TOTAL WORKLOAD / 25: 
5.76
 ECTS: 
6
 -- 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