| INDUSTRIAL 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 | Spring | 3 | 0 | 3 | 6 |
| The course opens with the approval of the Department at the beginning of each semester |
| Language of instruction: | En |
| Type of course: | Must Course |
| Course Level: | Bachelor |
| Mode of Delivery: | Face to face |
| Course Coordinator : | Instructor MAHMOUD JAFARI SHAH BELAGHI |
| Course Lecturer(s): |
Prof. Dr. MURAT SARI Prof. Dr. NAFİZ ARICA |
| 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: | - 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 |
| Attendance | 0 | % 0 |
| Laboratory | 0 | % 0 |
| Application | 0 | % 0 |
| Field Work | 0 | % 0 |
| Special Course Internship (Work Placement) | 0 | % 0 |
| Quizzes | 0 | % 0 |
| Homework Assignments | 0 | % 0 |
| Presentation | 0 | % 0 |
| Project | 0 | % 0 |
| Seminar | 0 | % 0 |
| Midterms | 2 | % 60 |
| Preliminary Jury | % 0 | |
| Final | 1 | % 40 |
| Paper Submission | % 0 | |
| Jury | % 0 | |
| Bütünleme | % 0 | |
| 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 |
| Laboratory | 0 | 0 | 0 |
| Application | 0 | 0 | 0 |
| Special Course Internship (Work Placement) | 0 | 0 | 0 |
| Field Work | 0 | 0 | 0 |
| Study Hours Out of Class | 14 | 7 | 98 |
| Presentations / Seminar | 0 | 0 | 0 |
| Project | 0 | 0 | 0 |
| Homework Assignments | 0 | 0 | 0 |
| Quizzes | 0 | 0 | 0 |
| Preliminary Jury | 0 | 0 | 0 |
| Midterms | 2 | 2 | 4 |
| Paper Submission | 0 | 0 | 0 |
| Jury | 0 | 0 | 0 |
| 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) | Build up a body of knowledge in mathematics, science and industrial engineering subjects; use theoretical and applied information in these areas to model and solve complex engineering problems. | 5 |
| 2) | Identify, formulate, and solve complex engineering problems; select and apply proper analysis and modeling methods for this purpose. | 3 |
| 3) | Design a complex system, process, device or product under realistic constraints and conditions, in such a way as to meet the desired result; apply modern design methods for this purpose. The ability to apply modern design methods to meet this objective. | |
| 4) | Devise, select, and use modern techniques and tools needed for solving complex problems in industrial engineering practice; employ information technologies effectively. | |
| 5) | Design and conduct experiments, collect data, analyze and interpret results for investigating the complex problems specific to industrial engineering. | |
| 6) | Cooperate efficiently in intra-disciplinary and multi-disciplinary teams; and show self-reliance when working independently. | |
| 7) | Demonstrate effective communication skills in both oral and written English and Turkish. Writing and understanding reports, preparing design and production reports, making effective presentations, giving and receiving clear and understandable instructions. | |
| 8) | Recognize the need for lifelong learning; show ability to access information, to follow developments in science and technology, and to continuously educate him/herself. | |
| 9) | Develop an awareness of professional and ethical responsibility, and behaving accordingly. Information about the standards used in engineering applications. | |
| 10) | Know business life practices such as project management, risk management, and change management; develop an awareness of entrepreneurship, innovation, and sustainable development. | |
| 11) | Know contemporary issues and the global and societal effects of modern age engineering practices on health, environment, and safety; recognize the legal consequences of engineering solutions. | |
| 12) | Develop effective and efficient managerial skills. |