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 |
MAT1051 | Calculus I | Fall | 3 | 2 | 4 | 7 |
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 NERMINE AHMED EL SISSI |
Course Lecturer(s): |
Prof. Dr. SÜREYYA AKYÜZ RA DUYGU ÜÇÜNCÜ Dr. Öğr. Üyesi LAVDİE RADA ÜLGEN RA AYSUN SOYSAL Dr. Öğr. Üyesi MESUT NEGİN Dr. Öğr. Üyesi MÜRÜVVET ASLI AYDIN Assoc. Prof. HALE GONCE KÖÇKEN Prof. Dr. NAFİZ ARICA Dr. Öğr. Üyesi DOĞAN AKCAN |
Course Objectives: | The purpose of the course is to give to the student a mathematical understanding of relations, functions, limits, continuity and differentiation and thus provide the necessary background so that a rational approach to problem solving is attained. |
The students who have succeeded in this course; 1 Understand and make calculations with numbers and functions, function’s types, and interpret different type of functions; 2 Calculate limit and asymptots and prove some basic evidence about limit and continuity. 3 Define derivatives s as a rate of change; apply linearization methods on nonlinear functions and use this on calculations. 4 Learn different derivation methods 5 Solve related rate problems 6 Use derivation methods in curve sketching 7 Calculate absolute and local maximum minimum values of univariate functions 8 Solve basic optimization problems; |
Relations, functions, limits, continuity, differentiation, rules of differentiation, The chain rule and implicit differentiation. Derivatives of trigonometric, exponential, logarithmic, inverse trigonometric functions.Related rates, linearization and differentials, extreme values, the Mean Value theorem, curve sketching, applied optimization problems. Indeterminate forms and L'Hopital's rule. Newton's method and antiderivatives. |
Week | Subject | Related Preparation | |
1) | Number systems and functions. | ||
2) | Functions and their properties. | ||
3) | Definition of limits and properties of limits. | ||
4) | Undefined limits, horizontal and vertical asymptotes. Continuity. | ||
5) | Definition of derivative. Tangents and derivative at a point. The derivative as a function. | ||
6) | The derivative as a rate of change. Differentiation rules. | ||
7) | Derivatives of functions. The chain rule and implicit differentiation. | ||
8) | Derivatives of functions (cont'd). Approximations and differentials. | ||
9) | Applications of the derivative. Related rate problems. | ||
10) | Applications of differentiation (cont'd). The Mean value theorem, maximum, minimum values, increasing and decreasing functions, | ||
11) | Curve sketching. | ||
12) | Indeterminate forms and L'Hopital's rule. | ||
13) | Optimization problems and Newton's method. | ||
14) | Linearization of non linear functions |
Course Notes: | Robert Adams, Christopher Essex, Calculus, Eight Edition, Pearson |
References: | James Stewart Calculus, 5th Ed. Brooks/Cole Publishing Company C.H. Edwards,Jr. David E. Penney, Calculus with Analytic Geometry Richard Silverman, Calculus with Analytic Geometry, Prentice Hall |
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 | 1 | % 40 |
Preliminary Jury | % 0 | |
Final | 1 | % 60 |
Paper Submission | % 0 | |
Jury | % 0 | |
Bütünleme | % 0 | |
Total | % 100 | |
PERCENTAGE OF SEMESTER WORK | % 40 | |
PERCENTAGE OF FINAL WORK | % 60 | |
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 | 3 | 42 |
Presentations / Seminar | 0 | 0 | 0 |
Project | 0 | 0 | 0 |
Homework Assignments | 0 | 0 | 0 |
Quizzes | 0 | 0 | 0 |
Preliminary Jury | 0 | 0 | 0 |
Midterms | 1 | 28 | 28 |
Paper Submission | 0 | 0 | 0 |
Jury | 0 | 0 | 0 |
Final | 1 | 30 | 30 |
Total Workload | 170 |
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. | 4 |
2) | Identify, formulate, and solve complex Mechatronics Engineering problems; select and apply proper modeling and analysis methods for this purpose. | 4 |
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. | 3 |
4) | Devise, select, and use modern techniques and tools needed for solving complex problems in Mechatronics Engineering practice; employ information technologies effectively. | 4 |
5) | Design and conduct numerical or pysical experiments, collect data, analyze and interpret results for investigating the complex problems specific to Mechatronics Engineering. | 4 |
6) | Cooperate efficiently in intra-disciplinary and multi-disciplinary teams; and show self-reliance when working on Mechatronics-related problems. | 1 |
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. | 1 |
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. | 2 |
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. |