Ders Planı

Lesson Information

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

Purpose and Content

The aim of the course	This course covers Ordinary Differential Equation, or ODE, which is used to model various engineering or scientific problems. Certain forms of ODE can be solved analytically, i.e., their solution is a closed-form mathematical expression. However, a closed-form solution is often not available for most realistic engineering problems; and must be solved numerically on computers. Thus, the goals of this course are to familiarize students with common analytical methods, as well as popular numerical algorithms of solving ODEs.
Course Content	In this course, you will learn about second order linear differential equations (homogeneous and nonhomogeneous), systems of ordinary differential equations, fourier series, Laplace transforms, and applications.

The aim of the course

This course covers Ordinary Differential Equation, or ODE, which is used to model various engineering or scientific problems. Certain forms of ODE can be solved analytically, i.e., their solution is a closed-form mathematical expression. However, a closed-form solution is often not available for most realistic engineering problems; and must be solved numerically on computers. Thus, the goals of this course are to familiarize students with common analytical methods, as well as popular numerical algorithms of solving ODEs.

Course Content

In this course, you will learn about second order linear differential equations (homogeneous and nonhomogeneous), systems of ordinary differential equations, fourier series, Laplace transforms, and applications.

Learning Outcomes

Adequate knowledge in mathematics, physical sciences and the engineering subjects of individual branches; the ability to implement theoretical and practical knowledge in the respective areas to modeling and solving engineering problems.
Ability to identify, define, formulate and solve complex engineering problems; ability to select and implement the appropriate analysis and modeling methods in this respect.
Ability to design and conduct experiments for analyzing engineering problems or research subjects specific to the discipline, to collect data, to analyze and interpret the results.
Ability to use, choose and develop modern techniques and means required for engineering applications; ability to use information technologies effectively.
An ability to design and conduct experiments, collect data, analyze and interpret results for the study of complex engineering problems or discipline-specific research topics.
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.
Acting in line with ethical principles, sense of professional and ethical responsibility; knowledge on the standards of engineering applications.
Ability to work effectively in interdisciplinary and multi-disciplinary teams and individual works.
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 engineering solutions.
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.
Knowledge of business practices such as project management, risk management and change management; awareness of entrepreneurship, innovation; information about sustainable development.

Weekly Course Subjects

1	Introduction
2	First-Order and Simple Higher-Order Differential Equations
3	First-Order and Simple Higher-Order Differential Equations
4	Applications of First-Order and Simple Higher-Order Equations
5	Linear Differential Equations
6	Linear Differential Equations
7	GENERAL EXERCISES SOLUTIONS
8	MID-TERM EXAM
9	Applications of Linear Differential Equations
10	The Laplace Transform and Its Applications
11	Systems of Linear Differential Equations
12	Applications of Systems of Linear Differential Equations
13	Series Solutions of Differential Equations
14	Numerical Solutions of Differential Equations

Resources

1- Differential Equations for Engineers, Wei-Chau Xie, University of Waterloo, Ontario, Cambridge University Press, Online ISBN:9780511761683, 2010.
2- Differential Equations for Engineers: The Essentials 1st Edition, David V. Kalbaugh, ISBN-10, 1498798810, CRC Press, 2017.
3- Boyce's Elementary Differential Equations and Boundary Value Problems, William E. Boyce,Richard C. DiPrima,Douglas B. Meade, ISBN10 : 1119382874, John Wiley & Sons Inc, 2017.

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Lesson Information

Purpose and Content

Learning Outcomes

Weekly Course Subjects

Resources

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