ELECTRICAL AND ELECTRONICS ENGINEERING | |||||
Bachelor | TR-NQF-HE: Level 6 | QF-EHEA: First Cycle | EQF-LLL: Level 6 |
Course Code | Course Name | Semester | Theoretical | Practical | Credit | ECTS |
MAT1006 | Engineering Mathematics I | Spring | 3 | 2 | 4 | 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 SOHEIL SALAHSHOUR |
Course Lecturer(s): |
RA ESRA ADIYEKE |
Course Objectives: | To introduce the aspects of discrete mathematics for students who would work which involves machine calculation. To teach basic algorithms on discrete structures using MATLAB. |
The students who have succeeded in this course; 1. Gain the knowledge on basic algorithms on discrete objects and implement those algorithms on MATLAB 2. Determine an argument using logical notation and determine if the argument is or is not valid 3. Understand the basic principles of sets and operations in sets 4. Explain an understanding of relations and functions and determine their properties 5. Solve counting problems by applying elementary counting techniques 6. List the terms in a sequence, compute the sum and the product of a finite sequence, and express sequences in terms of recursive or non-recursive forms 7. Perform basic matrix operations including sums, products, and transpose and perform binary matrix operations 8. Understand the basics of number theory and its applications 9. Understand the basics of graph theory |
Mathematical logic, induction, set theory, functions, sequences, recursions, number theory, matrices, relations, counting techniques, graphs, algorithms and complexity. |
Week | Subject | Related Preparation | |
1) | Propositional Logic, propositional equivalences. | ||
2) | Predicates and quantifiers. | ||
3) | Sets, set operations. | ||
4) | Functions, operations on functions, recursively defined functions. | ||
5) | Sequences, sums, products, recursively defined sequences. | ||
6) | Integers and division, modular arithmetic. | ||
7) | Prime numbers, Euclidean algorithm, representation of integers. | ||
8) | Linear congruences, Chinese remainder theorem, Fermat’s theorem, Cryptology. | ||
9) | Matrices and operations on them, binary matrices and logical operations on them. | ||
10) | Binary relations, n-ary relations. | ||
11) | Equivalence relations and order relations. | ||
12) | Basics of counting, pigeonhole principle, permutations and combinations. Mathematical induction. | ||
13) | Graphs. | ||
14) | Growth functions, big O notation, big theta notation, algorithms and complexity. |
Course Notes: | 1. K. H. Rosen, "Discrete Mathematics and its applications", 6th edition, 2007 2. D. M. Smith, "Engineering computation with MATLAB", 2010 |
References: |
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 | 2 | % 15 |
Homework Assignments | 0 | % 0 |
Presentation | 0 | % 0 |
Project | 0 | % 0 |
Seminar | 0 | % 0 |
Midterms | 1 | % 35 |
Preliminary Jury | 0 | % 0 |
Final | 1 | % 50 |
Paper Submission | 0 | % 0 |
Jury | 0 | % 0 |
Bütünleme | % 0 | |
Total | % 100 | |
PERCENTAGE OF SEMESTER WORK | % 50 | |
PERCENTAGE OF FINAL WORK | % 50 | |
Total | % 100 |
Activities | Number of Activities | Duration (Hours) | Workload |
Course Hours | 14 | 3 | 42 |
Laboratory | 0 | 0 | 0 |
Application | 14 | 2 | 28 |
Special Course Internship (Work Placement) | 0 | 0 | 0 |
Field Work | 0 | 0 | 0 |
Study Hours Out of Class | 14 | 5 | 70 |
Presentations / Seminar | 0 | 0 | 0 |
Project | 0 | 0 | 0 |
Homework Assignments | 0 | 0 | 0 |
Quizzes | 2 | 1 | 2 |
Preliminary Jury | 0 | 0 | 0 |
Midterms | 1 | 2 | 2 |
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) | Adequate knowledge in mathematics, science and electric-electronic engineering subjects; ability to use theoretical and applied information in these areas to model and solve engineering problems. | 5 |
2) | Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modeling methods for this purpose. | 2 |
3) | Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way as to meet the desired result; ability to apply modern design methods for this purpose. (Realistic constraints and conditions may include factors such as economic and environmental issues, sustainability, manufacturability, ethics, health, safety issues, and social and political issues, according to the nature of the design.) | |
4) | Ability to devise, select, and use modern techniques and tools needed for electrical-electronic engineering practice; ability to employ information technologies effectively. | |
5) | Ability to design and conduct experiments, gather data, analyze and interpret results for investigating engineering problems. | 3 |
6) | Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually. | |
7) | Ability to communicate effectively in English and Turkish (if he/she is a Turkish citizen), both orally and in writing. | |
8) | Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself. | |
9) | Awareness of professional and ethical responsibility. | |
10) | Information about business life practices such as project management, risk management, and change management; awareness of entrepreneurship, innovation, and sustainable development. | |
11) | Knowledge about contemporary issues and the global and societal effects of engineering practices on health, environment, and safety; awareness of the legal consequences of engineering solutions. |