COURSE INFORMATON
Course Title Code Semester L+P Hour Credits ECTS
Abstract Mathematics I * MT   155 1 3 3 6

Prerequisites and co-requisites
Recommended Optional Programme Components None

Language of Instruction Turkish
Course Level First Cycle Programmes (Bachelor's Degree)
Course Type
Course Coordinator Dr. Lec. Uyesi Ela AYDIN
Instructors
Dr. Öğr. ÜyesiELA AYDIN1. Öğretim Grup:A
 
Assistants
Goals
This course aims to give student the ability to think abstractly, to prove mathematical facts and introduce the basic concepts of analysis and algebra.
Content
to give student the ability to think abstractly, to prove mathematical facts and introduce the basic concepts of analysis and algebra.

Learning Outcomes
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Course's Contribution To Program
NoProgram Learning OutcomesContribution
12345
1
Is able to prove Mathematical facts encountered in secondary school.
X
2
Recognizes the importance of basic notions in Algebra, Analysis and Topology
X
3
Develops maturity of mathematical reasoning and writes and develops mathematical proofs.
X
4
Is able to express basic theories of mathematics properly and correctly both written and verbally
X
5
Recognizes the relationship between different areas of Mathematics and ties between Mathematics and other disciplines.
X
6
Expresses clearly the relationship between objects while constructing a model
X
7
Draws mathematical models such as formulas, graphs and tables and explains them
X
8
Is able to mathematically reorganize, analyze and model problems encountered.
X
9
Knows at least one computer programming language
10
Uses effective scientific methods and appropriate technologies to solve problems
X
11
Has sufficient knowledge of foreign language to be able to understand Mathematical concepts and communicate with other mathematicians
12
In addition to professional skills, the student improves his/her skills in other areas of his/her choice such as in scientific, cultural, artistic and social fields
13
Knows programming techniques and is able to write a computer program
14
Is able to do mathematics both individually and in a group.

Course Content
WeekTopicsStudy Materials _ocw_rs_drs_yontem
1 Propositions Review of the relevant pages from sources
2 Basic proof techniques Review of the relevant pages from sources
3 Set theory Review of the relevant pages from sources
4 Operations on sets Review of the relevant pages from sources
5 Relations and their properties Review of the relevant pages from sources
6 Equivalance relation and partitions Review of the relevant pages from sources
7 Order relations and its properties Review of the relevant pages from sources
8 Mid-term exam Review of the topics discussed in the lecture notes and sources
9 Functions Review of the relevant pages from sources
10 operations, unary, binary and n-ary operations Review of the relevant pages from sources
11 External and internal operations Review of the relevant pages from sources
12 Algebraic structures, Groups and its basic properties. Review of the relevant pages from sources
13 Rings and fields Review of the relevant pages from sources
14 The structure of module Review of the relevant pages from sources
15 The structure of vector space, final exam Review of the relevant pages from sources
16-17 Final exam Review of the topics discussed in the lecture notes and sources

Recommended or Required Reading
TextbookF. Çallıalp, Soyut Matematik, İstanbul Technical Üniv. İstanbul, 1995.
Additional Resources
S. Akkaş, H.H. Hacısalihoğlu, Soyut Matematik, Gazi Üniversitesi press No:43, Ankara, 1984.
A. Dönmez., Kümeler Kuramı ve Soyut Matematik, Atatürk University press No. 638, Erzurum, 1987.