Course unit title Level of course unit Course unit code Type of course unit Semester of course unit Local credit ECTS credit Syllabus
MATHEMATICAL METHODS IN ENGINEERING- II Second cycle MKM 601 1 7.50 7.50 Print
   
Description of course unit
Prerequisites and course requisities
Language of instruction Turkish
Coordinator Prof.Dr. Sebahattin ÜNALAN
Lecturer(s) Prof.Dr. Sebahattin ÜNALAN
Teaching assitant(s) Prof.Dr. Sebahattin ÜNALAN
Mode of delivery Face to face
Course objective Objective of this course is to explain solution methods of partial differential equations. Thereby, the solution methods with boundary and initial conditions will be explained over applications in the mechanical engineering
Course description Partial differential equations are the best difficult mathematics topic in the mechanical engineering. The solutions of these equations represent the highest level of analytical solutions. Thereby, students which are accomplishing Mathematical Methods in Engineering-II lesson will reach the best top level of the mathematical information.

Course contents
1 Initial and Boundary value problems, Steady and unsteady problems
2 Solution methods of homogeneous and non-homogenous differential equations
3 Homogeneous and non-homogenous solutions of Wave Equation by means of separation methods
4 : Homogeneous and non-homogenous solutions of Laplace Equation by means of separation methods
5 Homogeneous and non-homogenous solutions of Heat Equation by means of separation methods
6 Homogeneous and non-homogenous solutions of Poisson Equation by means of separation methods
7 the variation method of parameters in the partial differential equations
8 The D’Alembert’s solution of Wave Equation
9 Solutions of partial differential equations by Laplace Transform
10 Solutions of partial differential equations by Laplace Transform
11 Solutions of partial differential equations by Fourier Transform
12 Green’s Theorem and solutions of ordinary differential equations by Green Functions
13 Solutions of partial differential equations by Green Functions
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Learning outcomes of the course unit
1 To understand the application of mathematics to the general engineering problems
2 To learn different mathematical methods of solution of engineering problems
3 Ability to apply engineering mathematics to the solution of mechanical engineering problems
4 Ability to explain engineering problems with mathematics
5 To apply mathematical principles to real world problems
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*Contribution level of the course unit to the key learning outcomes
1 Have competence to use research methods and techniques available in Art History and hold theoretical and practical knowledge.
2 Have competence to use written and visual resources of art history. Write with conciseness and clarity and apply the conventions of European Language Portfolio at a level of B2 to communicate effectively and support an idea.
3 Understand the link between art history and other disciplines and carry out interdisciplinary research and study. Raise clear and precise questions, consider different points of view.
4 Generate solutions to the discipline specific problems of art history and apply appropriate research techniques and methods to solve these problems. Also use theoretical and practical knowledge on an advanced level. Develop and draw upon historical knowledge in order to analyse relevant contemporary issue(s)
5 Provide up-to-date information and generate novelties through an interdisciplinary study.
6 Carry out an independent and comprehensive research. Clearly present creative ideas and analytical information to a variety of audiences. able to lead such researches with expertise both on an institutional level and as part of a team when required.
7 As tutor to inform, educate and assist people. Also be able to identify, interpret and analyse cultural ideas, influences and artefacts. Contribute in raising-awareness to critical issues of culture and art within a society.
8 Collect, interpret, and use art historical data and have expertise to evaluate and to audit efforts at the preservation and conservation of the materials of cultural heritage.
9 Adopt critical approach to build, develop and revise knowledge/skills when necessary.
10 Use current art historical methods to research and provide analyses and syntheses based on critical thinking. Deliver the results of such independent, and scientifically conducted studies accurately and on time.
11 Convey the current developments in art history to the groups and scholars in the department and other departments by supporting with quantitative and qualitative data . Make strategies, apply and revise them as needed. Use the latest information technologies.
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Number of stars refer to level of contribution from 1 (the least) to 5 (the most)

Planned learning activities, teaching methods and ECTS work load
  Quantity Time (hour) Quantity*Time (hour)
Lectures (face to face teaching) 13 3 39
Study hours out of classroom (study before and after the class) 14 3 42
Homework 14 2 28
Presentation / seminar 0 0 0
Quiz 0 0 0
Preparation for midterm exams 5 5 25
Midterm exams 1 3 3
Project (term paper) 0 0 0
Laboratuar 0 0 0
Field study 0 0 0
Preparation for final exam 5 10 50
Final exam 1 3 3
Research 0 0 0
Total work load     190
ECTS     7.50

Assessment methods and criteria
Evaluation during semester Quantity Percentage
Midterm exam 1 100
Quiz 0 0
Homework 0 0
Semester total   100
Contribution ratio of evaluation during semester to success   40
Contribution ratio of final exam to success   60
General total   100

Recommended and required reading
Textbook Donald W Trim, Applied Partial Differential Equations, 1th edition, ITP inetrnatioal Thomson Publishing, Boston, 1990
Additional references Erwing Kreyszig, Advanced Engineering Mathematics, 8th edition, John Wiley & sons inc., Newyork, 1999.

Files related to the course unit