ISB111 Discrete mathematics

3 ECTS - 2-0 Duration (T+A)- 1. Semester- 2 National Credit

Information

Code ISB111
Name Discrete mathematics
Term 2024-2025 Academic Year
Semester 1. Semester
Duration (T+A) 2-0 (T-A) (17 Week)
ECTS 3 ECTS
National Credit 2 National Credit
Teaching Language Türkçe
Level Lisans Dersi
Type Normal
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Prof. Dr. SELAHATTİN KAÇIRANLAR
Course Instructor Prof. Dr. SELAHATTİN KAÇIRANLAR (A Group) (Ins. in Charge)


Course Goal / Objective

This course aims to help students acquire a powerful background on Counting Rules, permutations, combinations and probability.

Course Content

Counting Rules, Permutation, Combination, Ordered and Unordered Partitioning, Probability constitute the content of this course.

Course Precondition

no

Resources

Refail Alizade, Ünal Ufuktepe (2006), Sonlu Matematik, Tubitak Yayınları, Ankara.

Notes

Goldstein-Scheider-Seigel (1998), Finite Mathematics and Its Applications,Prentice Hall. 3. A.Simpson (2002), Discrete Mathematics by example, McGraw Hill.


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Explains Counting Rules
LO02 Solve the problems of permutations
LO03 Solve the problems of combinations
LO04 Solve the problems of fragmentation ordered and unordered
LO05 Solve the problems of distributing
LO06 Uses probability of an event, the Rules of Probability Probability Axioms
LO07 Explains conditional Probability, Independent events
LO08 Applies Bayes Theorem


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Bilgi - Kuramsal, Olgusal Explain the essence fundamentals and concepts in the field of Statistics 3
PLO02 Bilgi - Kuramsal, Olgusal Emphasize the importance of Statistics in life 3
PLO03 Bilgi - Kuramsal, Olgusal Define basic principles and concepts in the field of Law and Economics
PLO04 Bilgi - Kuramsal, Olgusal Produce numeric and statistical solutions in order to overcome the problems 4
PLO05 Bilgi - Kuramsal, Olgusal Use proper methods and techniques to gather and/or to arrange the data
PLO06 Bilgi - Kuramsal, Olgusal Utilize computer programs and builds models, solves problems, does analyses and comments about problems concerning randomization
PLO07 Bilgi - Kuramsal, Olgusal Apply the statistical analyze methods
PLO08 Bilgi - Kuramsal, Olgusal Make statistical inference (estimation, hypothesis tests etc.)
PLO09 Bilgi - Kuramsal, Olgusal Generate solutions for the problems in other disciplines by using statistical techniques and gain insight
PLO10 Bilgi - Kuramsal, Olgusal Discover the visual, database and web programming techniques and posses the ability of writing programs
PLO11 Beceriler - Bilişsel, Uygulamalı Distinguish the difference between the statistical methods
PLO12 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Make oral and visual presentation for the results of statistical methods
PLO13 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Have capability on effective and productive work in a group and individually 4
PLO14 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Professional development in accordance with their interests and abilities, as well as the scientific, cultural, artistic and social fields, constantly improve themselves by identifying training needs
PLO15 Yetkinlikler - Öğrenme Yetkinliği Develop scientific and ethical values in the fields of statistics-and scientific data collection


Week Plan

Week Topic Preparation Methods
1 Counting rules Source reading Öğretim Yöntemleri:
Anlatım, Tartışma, Problem Çözme
2 Permutations, circular permutations Source reading Öğretim Yöntemleri:
Anlatım, Tartışma, Problem Çözme
3 All objects that are not different from each other permutations Source reading Öğretim Yöntemleri:
Anlatım, Tartışma, Problem Çözme
4 Combinations, Pascal convention Source reading Öğretim Yöntemleri:
Anlatım, Tartışma, Problem Çözme
5 Repeated combinations Source reading Öğretim Yöntemleri:
Anlatım, Tartışma, Problem Çözme
6 Ordered and unordered partitions Source reading Öğretim Yöntemleri:
Anlatım, Tartışma, Problem Çözme
7 Distributing Source reading Öğretim Yöntemleri:
Anlatım, Tartışma, Problem Çözme
8 Mid-Term Exam Review the topics discussed in the lecture notes and sources Ölçme Yöntemleri:
Yazılı Sınav
9 Distributing II Source reading Öğretim Yöntemleri:
Anlatım, Tartışma, Problem Çözme
10 Concept of Probability Source reading Öğretim Yöntemleri:
Anlatım, Tartışma, Problem Çözme
11 Concept of Probability II Source reading Öğretim Yöntemleri:
Anlatım, Tartışma, Problem Çözme
12 Conditional Probability Source reading Öğretim Yöntemleri:
Anlatım, Tartışma, Problem Çözme
13 Additive Rule and Independent Events Source reading Öğretim Yöntemleri:
Anlatım, Tartışma, Problem Çözme
14 Probability Distributions Source reading Öğretim Yöntemleri:
Anlatım, Tartışma, Problem Çözme
15 Solving Problems Source reading Öğretim Yöntemleri:
Anlatım, Tartışma, Problem Çözme
16 Term Exams Review the topics discussed in the lecture notes and sources Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams Review the topics discussed in the lecture notes and sources Ölçme Yöntemleri:
Yazılı Sınav


Student Workload - ECTS

Works Number Time (Hour) Workload (Hour)
Course Related Works
Class Time (Exam weeks are excluded) 14 2 28
Out of Class Study (Preliminary Work, Practice) 14 2 28
Assesment Related Works
Homeworks, Projects, Others 0 0 0
Mid-term Exams (Written, Oral, etc.) 1 6 6
Final Exam 1 16 16
Total Workload (Hour) 78
Total Workload / 25 (h) 3,12
ECTS 3 ECTS

Update Time: 12.06.2024 01:41