| MECHATRONICS ENGINEERING | |||||
| Bachelor | TR-NQF-HE: Level 6 | QF-EHEA: First Cycle | EQF-LLL: Level 6 | ||
| Course Code | Course Name | Semester | Theoretical | Practical | Credit | ECTS |
| MAT1005 | Mathematics for Social Sciences | Fall |
2 | 2 | 3 | 5 |
| The course opens with the approval of the Department at the beginning of each semester |
| Language of instruction: | En |
| Type of course: | Non-Departmental Elective |
| Course Level: | Bachelor |
| Mode of Delivery: | |
| Course Coordinator : | Dr. Öğr. Üyesi LAVDİE RADA ÜLGEN |
| Course Lecturer(s): |
Prof. Dr. İRİNİ DİMİTRİYADİS Dr. Öğr. Üyesi LAVDİE RADA ÜLGEN Dr. Öğr. Üyesi MÜRÜVVET ASLI AYDIN RA AYSUN SOYSAL RA DUYGU ÜÇÜNCÜ Prof. Dr. NAFİZ ARICA |
| Course Objectives: | The main goal of this course is to provide basic theory and applications of mathematics. |
|
The students who have succeeded in this course; The students who succeeded in this course; will be able to understand conceptual and visual representation of limits, continuity, differentiability, and tangent line approximations for functions at a point. will be able to use first and second derivative tests to optimize functions. will be able to use derivatives in practical applications, such as distance, velocity, acceleration and related rates. will be able to graph a simple function. will be able to evaluate the antidifferentiates of basic functions. will be able to use Riemann Sums to estimate areas under the curve. will be able to apply Fundamental Theorem of Calculus to evaluate definite integrals. |
| Real Numbers, Sets, Functions, Limits and continuity, Derivatives. Applications. Extreme values, the Mean Value Theorem and its applications, Graphing. The definite integral. The indefinite integral. Logarithmic, exponential, inverse trigonometric functions and their derivatives. L’Hopital’s Rule. Techniques of integration. Area, Matrix operators. |
| Week | Subject | Related Preparation | |
| 1) | Real numbers and sets | ||
| 1) | Matrix Operations and systems | ||
| 2) | Relations and Functions | ||
| 3) | Inequalities and Absolute Value | ||
| 4) | Limits and Properties of limits | ||
| 5) | Continuity | ||
| 6) | Derivative and Applications of derivative | ||
| 7) | Graphs | ||
| 8) | Optimization | ||
| 9) | Exponential, Logarithmic and Trigonometric Functions | ||
| 10) | Trigonometric identities | ||
| 11) | Antiderivative of a function | ||
| 12) | Riemann sum and definite integral | ||
| 13) | Integration rules and fundamental theorem of calculus | ||
| 14) | Area and applications | ||
| Course Notes: | 1-Applied Mathematics for business, Economics, Life Sciences and Social Sciences by R. A. Barnett, M. R. Ziegler, K. E. Byleen. |
| References: |
| Semester Requirements | Number of Activities | Level of Contribution |
| Attendance | % 0 | |
| Laboratory | % 0 | |
| Application | % 0 | |
| Field Work | % 0 | |
| Special Course Internship (Work Placement) | % 0 | |
| Quizzes | % 0 | |
| Homework Assignments | % 0 | |
| Presentation | % 0 | |
| Project | % 0 | |
| Seminar | % 0 | |
| Midterms | 2 | % 50 |
| Preliminary Jury | % 0 | |
| Final | 1 | % 50 |
| Paper Submission | % 0 | |
| Jury | % 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 | 2 | 28 |
| 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 | 2 | 28 |
| Presentations / Seminar | 0 | 0 | 0 |
| Project | 0 | 0 | 0 |
| Homework Assignments | 0 | 0 | 0 |
| Quizzes | 0 | 0 | 0 |
| Preliminary Jury | 0 | ||
| Midterms | 2 | 10 | 20 |
| Paper Submission | 0 | ||
| Jury | 0 | ||
| Final | 1 | 21 | 21 |
| Total Workload | 125 | ||
| 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 Mechatronics Engineering subjects; use theoretical and applied information in these areas to model and solve complex engineering problems. | |
| 2) | Identify, formulate, and solve complex Mechatronics Engineering problems; select and apply proper modeling and analysis methods for this purpose. | |
| 3) | Design complex Mechatronic systems, processes, devices or products under realistic constraints and conditions, in such a way as to meet the desired result; apply modern design methods for this purpose. | |
| 4) | Devise, select, and use modern techniques and tools needed for solving complex problems in Mechatronics Engineering practice; employ information technologies effectively. | |
| 5) | Design and conduct numerical or pysical experiments, collect data, analyze and interpret results for investigating the complex problems specific to Mechatronics Engineering. | |
| 6) | Cooperate efficiently in intra-disciplinary and multi-disciplinary teams; and show self-reliance when working on Mechatronics-related problems. | |
| 7) | Ability to communicate effectively in English and Turkish (if he/she is a Turkish citizen), both orally and in writing. Write and understand reports, prepare design and production reports, deliver effective presentations, give and receive clear and understandable instructions. | |
| 8) | Recognize the need for life-long learning; show ability to access information, to follow developments in science and technology, and to continuously educate oneself. | |
| 9) | Develop an awareness of professional and ethical responsibility, and behave accordingly. Be informed about the standards used in Mechatronics Engineering applications. | |
| 10) | Learn about business life practices such as project management, risk management, and change management; develop an awareness of entrepreneurship, innovation, and sustainable development. | |
| 11) | Acquire knowledge about the effects of practices of Mechatronics Engineering on health, environment, security in universal and social scope, and the contemporary problems of Mechatronics engineering; is aware of the legal consequences of Mechatronics engineering solutions. |