Ders Planı

Lesson Information

Course Credit	4.0
Course ECTS Credit	4.0
Teaching Language of Instruction	Türkçe
Level of Course	Bachelor's Degree, TYYÇ: Level 6, EQF-LLL: Level 6, QF-EHEA: First Cycle
Type of Course	Compulsory
Mode of Delivery	Face-to-face
Does the course require compulsory or optional work experience?	Z
Course Coordinator	Prof. Dr. MİNE ERGÜVEN
Instructor (s)
Course Assistant

Purpose and Content

The aim of the course	To teach the theory and the applications of one of the fundamental compenent of engineering calculations as Diffrential Equations.
Course Content	Diffential equations theoy and its' concepts, initial and boundary value problems, the existence and uniqueness theorems, variable separable and homogeneous equations differential equations

Learning Outcomes

Adequate knowledge in mathematics, physical sciences and the biomedical engineering subjects of individual branches; the ability to implement theoretical and practical knowledge in the respective areas to modeling and solving computer engineering problems.
Ability to identify, define, formulate and solve complex engineering problems in biomedical engineering; ability to select and implement the appropriate analysis and modeling methods in this respect.
Ability to use, choose and develop modern techniques and means required for analyzing and solving the complex problems in biomedical engineering applications; ability to use information technologies effectively.
Ability to design a complex system, process, device or product to meet specific requirements under realistic restrictions and conditions; ability to implement the modern design methods for this purpose.
Ability to design experiments for analysing biomedical engineering problems, to conduct experiments, to collect data, to analyse and interpret the results.
Ability to apply engineering principles and methods to medical problems, to develop creative solutions.
Ability to work effectively in interdisciplinary and multi-disciplinary teams and individual works.
Knowledge of applications in business life like project management, risk management and change management; awareness about entrepreneurship, innovativeness and sustainable development.
Ability to identify, define, formulate and solve complex engineering problems in biomedical engineering; ability to select and implement the appropriate analysis and modeling methods in this respect.
Ability to use, choose and develop modern techniques and means required for engineering applications; ability to use information technologies effectively.
Awareness of the necessity of lifelong learning; ability to reach information, follow the latest developments in science and technology; ability to ensure self-renewal perpetually.
Ability to follow developments in disciplines related to biomedical engineering; Ability to ensure self-renewal perpetually in the theoretical, practical and social areas.
Ability to communicate efficiently both in oral and written ways in Turkish; knowledge of at least one foreign language; ability to effectively prepare reports and understand written reports, prepare design and production reports, effective presentation, giving and receiving clear and understandable instructions.
Ability to use common scientific and social language in engineering and health care fields.
Behaving in accordance with ethical principles in the field of biomedical engineering, professional and ethical responsibility awareness;knowledge on the standards of engineering applications.
Information about the effects of engineering applications on health, environment and safety in terms of universal and social aspects and information about the problems of the era; awareness about the legal results of biomedical engineering solutions.
Ability to use common scientific and social language in engineering and health care fields.

Weekly Course Subjects

1	Basic concepts of differential equations and boundary value problems
2	Existence and Uniqueness theorems, equations of vaiable separable and homogeneous differential equations
3	Exact differential equations.
4	The integral multiplier factor concept and the finding of integral multiplier of equations
5	Linear differential equations, Bernoullia equation
6	Riccatis differential equation, solution with variable displacement.
7	Systems, vertical and inclined orbits.
8	Midterm exam
9	First and higher order differential equations
10	Lagrange's and Clairaut's equations, Singular (inconsistant) solutions, covers.
11	n th order linear equations with constant coefficients
12	Undetermined coefficients, short methods
13	Parameter chenging methods, variable coefficient linear differential equations from Euler diffrential.
14	Laplace's Transform, Solutions by the Laplace Transformation.

Resources

1.William E. Boyce, Richard C.DiPrima, Elementary Differential Equations and Boundary Value Problems : International Student Version, Boyce & Dprima, John Wiley & Sons, 2010.
2. Richard Bronson, Erin J. Bredensteiner , Differential Equations,Schaum’s Outlines, McGraw-Hill, 2003.
3. Shepley L. Ross, Differential Equations, 3. Edition
4 Edward B. Saff and Arthur David Snider, Fundementals of Differential Equations and Boundary Value Problems, R. Kent Nagle, Addison,New York, 2004.

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CLASS 3

CLASS 4

Lesson Information

Purpose and Content

Learning Outcomes

Weekly Course Subjects

Resources

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