Mechatronics Engineering (English) | |||||
Bachelor | TR-NQF-HE: Level 6 | QF-EHEA: First Cycle | EQF-LLL: Level 6 |
Course Code: | MATH113 | ||||||||
Course Name: | Mathematics I | ||||||||
Course Semester: | Fall | ||||||||
Course Credits: |
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Language of instruction: | EN | ||||||||
Course Requisites: | |||||||||
Does the Course Require Work Experience?: | No | ||||||||
Type of course: | Compulsory | ||||||||
Course Level: |
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Mode of Delivery: | Face to face | ||||||||
Course Coordinator : | Dr.Öğr.Üyesi MESERET TUBA GÜLPINAR | ||||||||
Course Lecturer(s): |
Prof. Dr. VASFİ ELDEM |
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Course Assistants: |
Course Objectives: | The aim of this course is to teach the basic definitions and theorems of the limits, limit rules, continuity, derivatives, differentiation rules, chain rule, closed derivatives, maximum-minimum problems, curve drawing, applied optimization problems, integrals, Riemann sums, definite integrals, curves, transcendental functions and to gain the ability to solve the related problems. |
Course Content: | This course will investigate limits, rules of limits, continuity, derivatives, differentiation rules, chain rule, implicit differentiation, maximum-minimum problems, curve sketching, applied optimization problems, integration, Riemann sums, definite integrals, area between curves, volumes of revolution, transcendental functions. |
The students who have succeeded in this course;
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Week | Subject | Related Preparation |
1) | Functions | Lecture Notes |
2) | Limits and Continuity | Lecture Notes |
3) | Limits and Continuity | Lecture Notes |
4) | Differentiation | Lecture Notes |
5) | Differentiation | Lecture Notes |
6) | Differentiation | Lecture Notes |
7) | Applications of Derivatives | Lecture Notes |
8) | Applications of Derivatives | Lecture Notes |
9) | ||
10) | Integration | Lecture Notes |
11) | Integration | Lecture notes |
12) | Applications of Definite Integrals | Lecture Notes |
13) | Transcendental Functions | Lecture Notes |
14) | Transcendental Functions | Lecture Notes |
Course Notes / Textbooks: | Thomas’ Calculus, 13th Edition in SI Units George B. Thomas, Maurice D. Weir, Joel R. Hass Pearson Education Inc. |
References: | A Complete Course Calculus, 8th Edition. Robert A. Adams, Christopher Essex Pearson Canada Inc. ISBN 978: 0321781079 |
Learning Outcomes | 1 |
2 |
3 |
4 |
5 |
6 |
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Program Outcomes | ||||||||||
1) Sufficient knowledge in mathematics, science and engineering related to their branches; and the ability to apply theoretical and practical knowledge in these areas to model and solve engineering problems. | ||||||||||
2) The ability to identify, formulate, and solve complex engineering problems; selecting and applying appropriate analysis and modeling methods for this purpose. | ||||||||||
3) The ability to design a complex system, process, device or product under realistic constraints and conditions to meet specific requirements; the ability to apply modern design methods for this purpose. (Realistic constraints and conditions include such issues as economy, environmental issues, sustainability, manufacturability, ethics, health, safety, social and political issues, according to the nature of design.) | ||||||||||
4) Ability to develop, select and use modern techniques and tools necessary for engineering applications; ability to use information technologies effectively. | ||||||||||
5) Ability to design experiments, conduct experiments, collect data, analyze and interpret results to examine engineering problems or discipline-specific research topics. | ||||||||||
6) The ability to work effectively in disciplinary and multidisciplinary teams; individual work skill. | ||||||||||
7) Effective communication skills in Turkish oral and written communication; at least one foreign language knowledge; ability to write effective reports and understand written reports, to prepare design and production reports, to make effective presentations, to give and receive clear and understandable instructions. | ||||||||||
8) Awareness of the need for lifelong learning; access to knowledge, ability to follow developments in science and technology, and constant self-renewal. | ||||||||||
9) Conform to ethical principles, and standards of professional and ethical responsibility; be informed about the standards used in engineering applications. | ||||||||||
10) Awareness of applications in business, such as project management, risk management and change management; awareness of entrepreneurship, and innovation; information about sustainable development. | ||||||||||
11) Information about the universal and social health, environmental and safety effects of engineering applications and the ways in which contemporary problems are reflected in the engineering field; awareness of the legal consequences of engineering solutions. |
No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
Program Outcomes | Level of Contribution | |
1) | Sufficient knowledge in mathematics, science and engineering related to their branches; and the ability to apply theoretical and practical knowledge in these areas to model and solve engineering problems. | 5 |
2) | The ability to identify, formulate, and solve complex engineering problems; selecting and applying appropriate analysis and modeling methods for this purpose. | |
3) | The ability to design a complex system, process, device or product under realistic constraints and conditions to meet specific requirements; the ability to apply modern design methods for this purpose. (Realistic constraints and conditions include such issues as economy, environmental issues, sustainability, manufacturability, ethics, health, safety, social and political issues, according to the nature of design.) | |
4) | Ability to develop, select and use modern techniques and tools necessary for engineering applications; ability to use information technologies effectively. | |
5) | Ability to design experiments, conduct experiments, collect data, analyze and interpret results to examine engineering problems or discipline-specific research topics. | |
6) | The ability to work effectively in disciplinary and multidisciplinary teams; individual work skill. | |
7) | Effective communication skills in Turkish oral and written communication; at least one foreign language knowledge; ability to write effective reports and understand written reports, to prepare design and production reports, to make effective presentations, to give and receive clear and understandable instructions. | |
8) | Awareness of the need for lifelong learning; access to knowledge, ability to follow developments in science and technology, and constant self-renewal. | |
9) | Conform to ethical principles, and standards of professional and ethical responsibility; be informed about the standards used in engineering applications. | |
10) | Awareness of applications in business, such as project management, risk management and change management; awareness of entrepreneurship, and innovation; information about sustainable development. | |
11) | Information about the universal and social health, environmental and safety effects of engineering applications and the ways in which contemporary problems are reflected in the engineering field; awareness of the legal consequences of engineering solutions. |
Lesson | |
Reading | |
Homework | |
Problem Solving | |
Q&A / Discussion |
Written Exam (Open-ended questions, multiple choice, true-false, matching, fill in the blanks, sequencing) | |
Homework |
Semester Requirements | Number of Activities | Level of Contribution |
Homework Assignments | 6 | % 20 |
Midterms | 2 | % 40 |
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 | 15 | 5 | 75 |
Study Hours Out of Class | 12 | 1 | 12 |
Homework Assignments | 7 | 7 | 49 |
Midterms | 2 | 11 | 22 |
Final | 1 | 22 | 22 |
Total Workload | 180 |