ECTS - Discrete Computational Structures

Discrete Computational Structures (CMPE251) Course Detail

Course Name Course Code Season Lecture Hours Application Hours Lab Hours Credit ECTS
Discrete Computational Structures CMPE251 3. Semester 3 0 0 3 7
Pre-requisite Course(s)
N/A
Course Language English
Course Type Compulsory Departmental Courses
Course Level Bachelor’s Degree (First Cycle)
Mode of Delivery Face To Face
Learning and Teaching Strategies Lecture, Discussion, Question and Answer.
Course Coordinator
Course Lecturer(s)
Course Assistants
Course Objectives The objective of this course is to teach mathematical concepts that are fundamental to computer science.
Course Learning Outcomes The students who succeeded in this course;
  • Apply mathematical reasoning and combinatorial analysis
  • Design discrete structures for computations
  • Apply algorithmic thinking
  • Formulate problems using mathematical structure
Course Content Basic mathematical objects of computational mathematics: sets, sequences, relations, functions, and partitions; deductive mathematical logic proof techniques; discrete number systems; induction and recursion; graphs and sub-graphs; trees; planarity of graphs; covering problems; path problems; directed graphs; combinatorics.

Weekly Subjects and Releated Preparation Studies

Week Subjects Preparation
1 The Foundations: Logic, Sets and Functions Chapter 1.1, 1.2, 1.3 (main text)
2 The Foundations: Logic, Sets and Functions Chapter 1.4, 1.5, 1.6.
3 The Foundations: Logic, Sets and Functions Chapter 2.1, 2.2, 2.3, 2.4.
4 The Fundamentals: Algorithms, the Integers and Matrices Chapter 3.1, 3.2, 3.3.
5 The Fundamentals: Algorithms, the Integers and Matrices Chapter 3.4, 3.5
6 The Fundamentals: Algorithms, the Integers and Matrices Chapter 3.6, 3.8.
7 Mathematical Reasoning Chapter 4.1.
8 Mathematical Reasoning Chapter 4.3.
9 Counting Chapter 5.1, 5.2.
10 Counting Chapter 5.3
11 Relations Chapter 8.1, 8.3.
12 Graphs Chapter 9.1, 9.2.
13 Graphs Chapter 9.3, 9.4, 9.5.
14 Trees Chapter 10.1
15 Review
16 Review

Sources

Course Book 1. Discrete Mathematics and Its Applications, K.H. Rosen, 7th. Edition, McGraw-Hill, 2011.
Other Sources 2. Discrete Mathematics, K.A. Ross, C.R.B. Wright, Fourth Edition, Prentice Hall, 1999.
4. Discrete and Combinatorial Mathematics, An Applied Introduction, R.P. Grimaldi, Fifth Edition, Addison Wesley, 2003.
5. Discrete Mathematics, R. Johnsonbaugh, Seventh Edition, Prentice Hall, 2008
6. Discrete Mathematics with Applications, S.S.Epp, First Edition, Thomson, 2003.
7. Discrete Mathematics with Combinatorics, J.A.Anderson, Second Edition, Prentice Hall, 2003.

Evaluation System

Requirements Number Percentage of Grade
Attendance/Participation - -
Laboratory - -
Application - -
Field Work - -
Special Course Internship - -
Quizzes/Studio Critics 1 20
Homework Assignments - -
Presentation - -
Project - -
Report - -
Seminar - -
Midterms Exams/Midterms Jury 1 35
Final Exam/Final Jury 1 45
Toplam 3 100
Percentage of Semester Work 55
Percentage of Final Work 45
Total 100

Course Category

Core Courses X
Major Area Courses
Supportive Courses
Media and Managment Skills Courses
Transferable Skill Courses

The Relation Between Course Learning Competencies and Program Qualifications

# Program Qualifications / Competencies Level of Contribution
1 2 3 4 5
1 Has adequate knowledge in mathematics, science, and computer engineering-specific subjects; uses theoretical and practical knowledge in these areas to solve complex engineering problems. X
2 Identifies, defines, formulates, and solves complex engineering problems; selects and applies appropriate analysis and modeling methods for this purpose. X
3 Designs a complex system, process, device, or product to meet specific requirements under realistic constraints and conditions; applies modern design methods for this purpose.
4 Develops, selects, and uses modern techniques and tools necessary for the analysis and solution of complex problems encountered in computer engineering applications; uses information technologies effectively.
5 Designs experiments, conducts experiments, collects data, analyzes and interprets results for the investigation of complex engineering problems or research topics specific to the discipline of computer engineering. X
6 Works effectively in disciplinary and multidisciplinary teams; gains the ability to work individually.
7 Communicates effectively in Turkish, both orally and in writing; writes effective reports and understands written reports, prepares design and production reports, makes effective presentations, gives and receives clear and understandable instructions.
8 Knows at least one foreign language; writes effective reports and understands written reports, prepares design and production reports, makes effective presentations, gives and receives clear and understandable instructions.
9 Has awareness of the necessity of lifelong learning; accesses information, follows developments in science and technology, and continuously improves oneself.
10 Acts in accordance with ethical principles and has awareness of professional and ethical responsibility.
11 Has knowledge about the standards used in computer engineering applications.
12 Has knowledge about workplace practices such as project management, risk management, and change management.
13 Gains awareness about entrepreneurship and innovation.
14 Has knowledge about sustainable development.
15 Has knowledge about the health, environmental, and safety impacts of computer engineering applications in universal and societal dimensions and the contemporary issues reflected in the field of engineering.
16 Gains awareness of the legal consequences of engineering solutions.
17 Analyzes, designs, and expresses numerical computation and digital representation systems. X
18 Uses programming languages and appropriate computer engineering concepts to solve computational problems.

ECTS/Workload Table

Activities Number Duration (Hours) Total Workload
Course Hours (Including Exam Week: 16 x Total Hours) 16 3 48
Laboratory
Application
Special Course Internship
Field Work
Study Hours Out of Class 16 4 64
Presentation/Seminar Prepration
Project
Report
Homework Assignments
Quizzes/Studio Critics
Prepration of Midterm Exams/Midterm Jury 2 15 30
Prepration of Final Exams/Final Jury 1 30 30
Total Workload 172