Course Details

DISCRETE MATHEMATICS

MATH206

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Course Information
SemesterCourse Unit CodeCourse Unit TitleT+P+LCreditNumber of ECTS Credits
3MATH206DISCRETE MATHEMATICS4+0+045

Course Details
Language of Instruction English
Level of Course Unit Bachelor's Degree
Department / Program ENGINEERING SCIENCES
Type of Program Formal Education
Type of Course Unit Compulsory
Course Delivery Method Face To Face
Objectives of the Course Realize the need for applications of discrete mathematics methods to global challenges in natural and engineering sciences.
Understand the features of applications of discrete mathematics to engineering problems.
Practice mathematical, symbolic and numerical skills.
Learn how to apply the studied mathematical methods to real-life engineering problems.
Course Content This is an introductory course to Discrete Mathematics. The goal of this course is to introduce students the ideas of constructing mathematical arguments, proving them and furthermore strengthen students’ problem solving skills. With the topics of logic and techniques of proofs, students will be able to express any expression, statement or proposition in mathematical notations. With the topics of functions, counting, graphs we aim to build up skills of problem solving in cryptography, error correction and several problems in network design.
Course Methods and Techniques ...
Prerequisites and co-requisities ( MATH152 )
Course Coordinator None
Name of Lecturers Associate Prof.Dr. Zübeyir Çınkır people.agu.edu.tr/zcinkir/ zubeyir.cinkir@agu.edu.tr
Assistants None
Work Placement(s) No

Recommended or Required Reading
Resources Discrete Mathematics and Its Applications, 6th Edition (or new edition). Authors: Kenneth H. Rosen.
Discrete Mathematics. Authors: Richard Johnsonbaugh.
Shared on One-Drive
...
https://webwork2.agu.edu.tr/webwork2/
...

Course Category
Mathematics and Basic Sciences %100

Planned Learning Activities and Teaching Methods
Activities are given in detail in the section of "Assessment Methods and Criteria" and "Workload Calculation"

Assessment Methods and Criteria
In-Term Studies Quantity Percentage
Yarıyıl İçi Çalışmalarının Başarı Notunun Katkısı 2 % 40
Quiz/Küçük Sınav 7 % 10
Ödev 7 % 15
Final examination 1 % 35
Total
17
% 100

 
ECTS Allocated Based on Student Workload
Activities Quantity Duration Total Work Load
Yazılı Sınav 2 8 16
Ev Ödevi 7 3 21
Kısa Sınav 7 2 14
Ders dışı çalışma 14 2 28
Yüz Yüze Ders 14 4 56
Final Sınavı 1 15 15
Total Work Load   Number of ECTS Credits 5 150

Course Learning Outcomes: Upon the successful completion of this course, students will be able to:
NoLearning Outcomes
1 Draw True-False table of any proposition
2 Express propositions in mathematical notations.
3 Write a mathematical proof
4 Develop recursive algorithms based on mathematical induction.
5 Use concepts of relations; represent relations as sets, matrices or graphs.


Weekly Detailed Course Contents
WeekTopicsStudy MaterialsMaterials
1 1. The Foundations: Logic and Proofs ... Shared on One Drive
2 1. The Foundations: Logic and Proofs ... Shared on One-Drive
3 1. The Foundations: Logic and Proofs, 2. Basic Structures: Sets, Functions ... shared on One-Drive
4 2. Basic Structures: Functions, Sequences, and Sums, 3. Algorithms ... Shared on One-Drive
5 3. Growth of Functions, Number Theory ... Shared on One-Drive
6 Number Theory, 4. Induction and Recursion ... Shared on One Drive
7 4. Induction and Recursion ... Shared on One-Drive
8 5. Counting ... Shared on One-Drive
9 7. Recurrence Relations ... Shared on One-Drive
10 8. Relations ... Shared on One-Drive
11 11. Boolean Algebra ... Shared on One Drive
12 11. Boolean Algebra; 9. Graphs ... Shared on One-Drive
13 9. Graphs ... Shared on One-Drive
14 10. Trees ... Shared on One-Drive


Contribution of Learning Outcomes to Programme Outcomes
C1
C2
C3
C4
C5

Contribution: 1: Very Slight 2:Slight 3:Moderate 4:Significant 5:Very Significant


https://sis.agu.edu.tr/oibs/bologna/progCourseDetails.aspx?curCourse=76669&lang=en
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