COURSE INFORMATON
Course Title Code Semester L+P Hour Credits ECTS
Finite Mathematics * MT   352 6 2 2 4

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 Assoc.Prof.Dr. Şehmus FINDIK
Instructors
Doç.Dr.ŞEHMUS FINDIK1. Öğretim Grup:A
Doç.Dr.ŞEHMUS FINDIK2. Öğretim Grup:A
 
Assistants
Goals
To solve distribution problems by using the basic principles of counting.
Content
Counting principles, Binomial coefficients, Cyclic permutations, Distrubution problems, Fibonachi numbers, Division algorithm, Prime numbers, the least common multiple and the greatest common divisor, surjective functions, Stirling numbers, Special functions, The pigeon hole principle, functional difficulty.

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
X
10
Uses effective scientific methods and appropriate technologies to solve problems
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 Counting rules Review of the relevant pages from sources
2 Binom coefficients Review of the relevant pages from sources
3 Cyclic permutation Review of the relevant pages from sources
4 Distrubution problems Review of the relevant pages from sources
5 Fibonachi numbers Review of the relevant pages from sources
6 Division algorithm Review of the relevant pages from sources
7 Prime numbers Review of the relevant pages from sources
8 Mid-term exam Review of the topics discussed in the lecture notes and sources
9 The least common multiple and the greatest common divisor Review of the relevant pages from sources
10 Surjective functions Review of the relevant pages from sources
11 Stirling numbers Review of the relevant pages from sources
12 Special functions Review of the relevant pages from sources
13 The pigeon hole principle Review of the relevant pages from sources
14 Functional difficulty Review of the relevant pages from sources
15 General problem solving 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
Textbook1. Discrete and Combinatorial Mathematics an applied introduction, Ralph Grimaldi, Addison-Wesley Publishing Company,1994.
Additional Resources
2. Sonlu Matematik Olimpiyat Problemleri ve Çözümleri (Tübitak yayınları) Ünal Ufuktepe, Refail Alizade
3. Sayma, Ali Nesin