BIOMEDICAL ENGINEERING (ENGLISH) | |||||
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Qualification Awarded | Program Süresi | Toplam Kredi (AKTS) | Öğretim Şekli | Yeterliliğin Düzeyi ve Öğrenme Alanı | |
Bachelor's (First Cycle) Degree | 4 | 240 | FULL TIME |
TYÇ, TR-NQF-HE, EQF-LLL, ISCED (2011):Level 6 QF-EHEA:First Cycle TR-NQF-HE, ISCED (1997-2013): 52 |
Course Code: | 1400211015 | ||||||||||
Ders İsmi: | Differential Equations | ||||||||||
Ders Yarıyılı: | Fall | ||||||||||
Ders Kredileri: |
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Language of instruction: | EN | ||||||||||
Ders Koşulu: | |||||||||||
Ders İş Deneyimini Gerektiriyor mu?: | No | ||||||||||
Other Recommended Topics for the Course: | |||||||||||
Type of course: | Necessary | ||||||||||
Course Level: |
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Mode of Delivery: | Face to face | ||||||||||
Course Coordinator : | Dr.Öğr.Üyesi Recep DURANAY | ||||||||||
Course Lecturer(s): |
Prof. Dr. Naim Mahmood Musleh AJLOUNI |
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Course Assistants: |
Course Objectives: | To develop mathematical thinking and solve problems encountered in mathematics, physics and engineering. |
Course Content: | First order ordinary differential equations (homogeneous and inhomogeneous cases, direct integration, integral factors, substitution). Second order ordinary differential equations (change of parameters, reduction of order). Laplace transformations and applications. Power series solutions of second order linear differential equations, Frobenius method. |
The students who have succeeded in this course;
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Week | Subject | Related Preparation |
1) | Introduction (Basic definitions, classification of differential equations), Separable equations, Homogeneous equations | Textbook |
2) | 1st Degree Differential Equations | Textbook |
3) | 1st Degree Differential Equations | Textbook |
4) | Differential equations that can be separated into variables, Solutions of homogeneous differential equations | Textbook |
5) | Exact differential equations | Textbook |
6) | Integration factor for exact differential equations, Differential equations that are also homogeneous and complete differential equations, Linear differential equations | Textbook |
7) | Bernoulli Differential Equation, Riccati Diferansiyel Denklemi | Textbook |
8) | Mideterm 1 | Textbook |
9) | Clairaut Differential equation, Lagrange Differential equation | Textbook |
10) | Higher order differential equations | Textbook |
11) | The dependent variable and the first k. differential equations with no derivatives of order | Textbook |
12) | Quadratic constant coefficient differential equations | Textbook |
13) | n. differential equations with constant coefficients, Euler's differential equation | Textbook |
14) | Differential equation systems | Textbook |
15) | Final Exam | Textbook |
16) | Final Exam | Textbook |
Course Notes / Textbooks: | W. Boyce and R. DiPrima, Elementary Di_erential Equations and Boundary Value Problems, 9th Ed., Wiley (2009) |
References: | W. Boyce and R. DiPrima, Elementary Di_erential Equations and Boundary Value Problems, 9th Ed., Wiley (2009) |
Ders Öğrenme Kazanımları | 1 |
2 |
3 |
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Program Outcomes | ||||||||||
1) Sufficient knowledge in engineering related to mathematics, science and biomedical engineering; 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. | ||||||||||
4) The ability to develop, select and use modern techniques and tools which are necessary for engineering applications; the ability to use information technologies effectively. | ||||||||||
5) The ability to design or conduct experiments to collect data, analyze and interpret results for examination of engineering problems. | ||||||||||
6) The ability to work effectively in disciplinary and multidisciplinary teams; to gain individual work skill. | ||||||||||
7) The process of establishing effective oral and written communication in Turkish; knowledge of at least one foreign language; Ability to write effective reports and understand written reports, to prepare design and production records, to make effective presentations, to give and receive clear and understandable instructions. | ||||||||||
8) To get awareness of the need for lifelong learning and access to knowledge; the ability to follow developments in science and technology, and the ability of self-renewal | ||||||||||
9) Behaving in accordance with ethical principles, awareness of professional and ethical responsibility; Knowledge of standards used in engineering practices. | ||||||||||
10) Knowledge of business practices such as project management, risk management and change management; awareness of entrepreneurship, innovation; information about sustainable development. | ||||||||||
11) Knowledge of business practices such as project management, risk management and change management; awareness of entrepreneurship, innovation; information about sustainable development. |
No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
Program Outcomes | Level of Contribution | |
1) | Sufficient knowledge in engineering related to mathematics, science and biomedical engineering; 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. | |
4) | The ability to develop, select and use modern techniques and tools which are necessary for engineering applications; the ability to use information technologies effectively. | |
5) | The ability to design or conduct experiments to collect data, analyze and interpret results for examination of engineering problems. | |
6) | The ability to work effectively in disciplinary and multidisciplinary teams; to gain individual work skill. | |
7) | The process of establishing effective oral and written communication in Turkish; knowledge of at least one foreign language; Ability to write effective reports and understand written reports, to prepare design and production records, to make effective presentations, to give and receive clear and understandable instructions. | |
8) | To get awareness of the need for lifelong learning and access to knowledge; the ability to follow developments in science and technology, and the ability of self-renewal | |
9) | Behaving in accordance with ethical principles, awareness of professional and ethical responsibility; Knowledge of standards used in engineering practices. | |
10) | Knowledge of business practices such as project management, risk management and change management; awareness of entrepreneurship, innovation; information about sustainable development. | |
11) | Knowledge of business practices such as project management, risk management and change management; awareness of entrepreneurship, innovation; information about sustainable development. |
Course | |
Homework | |
Problem Çözme |
Yazılı Sınav (Açık uçlu sorular, çoktan seçmeli, doğru yanlış, eşleştirme, boşluk doldurma, sıralama) | |
Homework | |
Uygulama |
Semester Requirements | Number of Activities | Level of Contribution |
Quizzes | 2 | % 10 |
Midterms | 1 | % 40 |
Semester Final Exam | 1 | % 50 |
total | % 100 | |
PERCENTAGE OF SEMESTER WORK | % 50 | |
PERCENTAGE OF FINAL WORK | % 50 | |
total | % 100 |
Activities | Number of Activities | Duration (Hours) | Workload |
Course Hours | 14 | 4 | 56 |
Study Hours Out of Class | 14 | 6 | 84 |
Homework Assignments | 5 | 3 | 15 |
Midterms | 2 | 2 | 4 |
Final | 1 | 3 | 3 |
Total Workload | 162 |