| SOFTWARE ENGINEERING | |||||
| Bachelor | TR-NQF-HE: Level 6 | QF-EHEA: First Cycle | EQF-LLL: Level 6 | ||
| Course Code | Course Name | Semester | Theoretical | Practical | Credit | ECTS |
| MAT2033 | Discrete Mathematics | Fall | 3 | 0 | 3 | 6 |
| Language of instruction: | English |
| Type of course: | Must Course |
| Course Level: | Bachelor’s Degree (First Cycle) |
| Mode of Delivery: | Face to face |
| Course Coordinator : | Instructor MAHMOUD JAFARI SHAH BELAGHI |
| Course Lecturer(s): |
Prof. Dr. MURAT SARI Prof. Dr. NAFİZ ARICA |
| Recommended Optional Program Components: | None |
| Course Objectives: | To provide the necessary background in discrete mathematical structures for students who would work which involves machine calculation. To teach basic algorithms on discrete structures. |
|
The students who have succeeded in this course; 1. Understand the basic principles of Logic. 2. Understand the basic principles of sets and operations in sets. 3. Understand methods of mathematical proofs, and be able to apply them in problem solving. 4. Demonstrate relations and determine their properties. 5. Demonstrate functions and determine when a function is 1-1 and "onto". 6. Understand some basic properties of number theory and mathematical cryptography. 7. Understand and use some basic properties of graphs. |
| Mathematical logic, induction, set theory, relations, functions, graphs, number theory, and mathematical cryptography |
| Week | Subject | Related Preparation |
| 1) | Propositional Logic | |
| 2) | Propositional Equivalences | |
| 3) | Predicates and Quantifiers | |
| 4) | Rules of Inference | |
| 5) | Proof Methods | |
| 6) | Sets and Set Operations \ review. | |
| 7) | Relations and Their Properties | |
| 8) | Representing Relations and Closures of Relations | |
| 9) | Equivalence Relations and Partial Orderings | |
| 10) | Functions | |
| 11) | Divisibility and Modular Arithmetic | |
| 12) | Primes, Greatest Common Divisors, and Cryptography \ review. | |
| 13) | Graphs and Graph Models | |
| 14) | Graph Terminology and Special Types of Graphs |
| Course Notes / Textbooks: | - Instructor's own lecture notes. - Discrete Mathematics and its Applications, Kenneth H. Rosen, McGraw-Hill Publishing Company. |
| References: | - Elements of Discrete Mathematics, C. L. Liu, McGraw-Hill Publishing Company. - Discrete and Combinatorial Mathematics, R. P. Grimaldi, Addison-Wesley Publishing Company. - AND any textbook that covers given topics can be used. |
| Semester Requirements | Number of Activities | Level of Contribution |
| Midterms | 2 | % 60 |
| Final | 1 | % 40 |
| Total | % 100 | |
| PERCENTAGE OF SEMESTER WORK | % 60 | |
| PERCENTAGE OF FINAL WORK | % 40 | |
| Total | % 100 | |
| Activities | Number of Activities | Duration (Hours) | Workload |
| Course Hours | 14 | 3 | 42 |
| Study Hours Out of Class | 14 | 7 | 98 |
| Midterms | 2 | 2 | 4 |
| Final | 1 | 2 | 2 |
| Total Workload | 146 | ||
| No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
| Program Outcomes | Level of Contribution | |
| 1) | Be able to specify functional and non-functional attributes of software projects, processes and products. | |
| 2) | Be able to design software architecture, components, interfaces and subcomponents of a system for complex engineering problems. | |
| 3) | Be able to develop a complex software system with in terms of code development, verification, testing and debugging. | 2 |
| 4) | Be able to verify software by testing its program behavior through expected results for a complex engineering problem. | 4 |
| 5) | Be able to maintain a complex software system due to working environment changes, new user demands and software errors that occur during operation. | 2 |
| 6) | Be able to monitor and control changes in the complex software system, to integrate the software with other systems, and to plan and manage new releases systematically. | |
| 7) | Be able to identify, evaluate, measure, manage and apply complex software system life cycle processes in software development by working within and interdisciplinary teams. | 2 |
| 8) | Be able to use various tools and methods to collect software requirements, design, develop, test and maintain software under realistic constraints and conditions in complex engineering problems. | 2 |
| 9) | Be able to define basic quality metrics, apply software life cycle processes, measure software quality, identify quality model characteristics, apply standards and be able to use them to analyze, design, develop, verify and test complex software system. | 3 |
| 10) | Be able to gain technical information about other disciplines such as sustainable development that have common boundaries with software engineering such as mathematics, science, computer engineering, industrial engineering, systems engineering, economics, management and be able to create innovative ideas in entrepreneurship activities. | 5 |
| 11) | Be able to grasp software engineering culture and concept of ethics and have the basic information of applying them in the software engineering and learn and successfully apply necessary technical skills through professional life. | |
| 12) | Be able to write active reports using foreign languages and Turkish, understand written reports, prepare design and production reports, make effective presentations, give clear and understandable instructions. | |
| 13) | Be able to have knowledge about the effects of engineering applications on health, environment and security in universal and societal dimensions and the problems of engineering in the era and the legal consequences of engineering solutions. |