Course Information

Course Information
Course Title Code Language Type Semester L+U Hour Credits ECTS
Abstract Mathematic I MAT121 Turkish Compulsory 1. Semester 2 + 2 3.0 5.0
Prerequisite Courses
Course Level Undergraduate
Mode of delivery Lecturing
Course Coordinator Dr. Öğr. Üyesi Hasan KARA
Instructor(s) Dr. Öğr. Üyesi Hasan KARA (Güz)
Goals To introduce the basic concepts of the symbolic logic, to introduce mathematical proof methods, To introduce the bacis mathematical subjects: sets, relations and functions.
Course Content Propositions, Truth Tables, Mathematical Proof Methods, Sets, Relations, Functions.
Learning Outcomes
# Öğrenme Kazanımı
1 This course will enable one to:Have information about methods of proofs 2. Know set concept 3. Know relation,function 4. Form composition function 5. Know equivalence and order relation 6. Know partial,total and well-order relations
Lesson Plan (Weekly Topics)
Week Topics/Applications Method
1. Week Propositions, Proposition operators, truth tables. Class Hours
2. Week Quantifiers Class Hours
3. Week Mathematical proof methods and its aplications Class Hours
4. Week Sets and the operations on sets Class Hours
5. Week Sets and the operations on sets. Class Hours
6. Week Relations Class Hours
7. Week Equivalence relations. equivalence classes and partitions. Class Hours
8. Week Mid-term Exam Class Hours
9. Week Partial and total order relations Class Hours
10. Week Maximal and minimal elements concepts Class Hours
11. Week Supremum and infimum concepts Class Hours
12. Week Functions and the properties of functions . Class Hours
13. Week The operations on functions Class Hours
14. Week Composition of functions and inverse of functions Class Hours
*Midterm and final exam dates are not specified in the 14-week course operation plan. Midterm and final exam dates are held on the dates specified in the academic calendar with the decision of the University Senate.
The Matrix for Course & Program Learning Outcomes
No Program Requirements Level of Contribution
1 2 3 4 5
1 Acquiring knowledge on theories and practice of education in general, subject teaching in particular, and the basic concepts and theories of the related disciplines,
2 Knowing how to obtain information geared towards lifelong learning,
3 Doing effective educational planning, organizing and evaluating based on theoretical and practical content matter and in relation to the needs of the learners,
4 Utilizing educational technologies in a variety of educational settings,
5 Analyzing studies in the field with a scientific perspective, assessing the findings and offering solutions,
6 Acquiring academic literacy and minimum B1 level competence at a foreign language in order to pursue the global developments in the area of study,
7 Pursuing the scientific discussions in the field and interpreting them through scientific examination,
8 Forming scientific study platforms in order to solve the problems in practice,
9 Preparing and conducting solution-based projects in response to social problems in an effort to contribute to the School-Society collaboration
10 Following the developments in the field through professional activities such as literature reviews, seminars, conferences and workshops, and sharing them with other expert and non-expert individuals,
11 Being an innovative and self-confident intellectual with a sense of society, environment, social justice and respect for ethical values.
12 To be able to analyse the notions and ideas in the field by using scientific methods, to identify problems, and to develop solutions based on proofs and researches
13 To be able to gain ability of doing academic research
14 To be able to work interactively
15 To be able gain necessary computer software for further studies
Relations with Education Attainment Program Course Competencies
Program Requirements DK1
PY1 4
PY2 5
PY3 4
PY4 4
PY5 1
PY6 1
PY7 5
PY8 5
PY9 1
PY10 5
PY11 1
PY12 5
PY13 5
PY14 5
PY15 1
Recommended Sources
Ders Kitabı veya Notu Ders Kitabı veya Ders Notu bulunmamaktadır.
Diğer Kaynaklar
  • 1. Soyut Matematik, S. Akkaş, H. H. Hacısalihoğlu, Z. Özel, A. Sabuncuoğlu; Gazi Üniversitesi
  • 2. Soyut Matematiğe Giriş, Timur Karaçay
ECTS credits and course workload
ECTS credits and course workload Quantity Duration (Hour) Total Workload (Hour)
Ders İçi
Class Hours 14 4 56
Sınavlar
Midterm 1 1 2 2
Homework 1 14 2 28
Homework 2 14 2 28
Final 1 2 2
Practice 14 1 14
Total Workload 130
*AKTS = (Total Workload) / 25,5 ECTS Credit of the Course 5.0