TYPE OF COURSE UNIT | Elective Course |
LEVEL OF COURSE UNIT | Master's Degree With Thesis |
YEAR OF STUDY | - |
SEMESTER | - |
NUMBER OF ECTS CREDITS ALLOCATED | 10 |
NAME OF LECTURER(S) | Associate Professor Müjdat Kaya
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LEARNING OUTCOMES OF THE COURSE UNIT |
At the end of this course, the students; 1) An ability of numerical solution of ordinary and partial differential equations in the engineering 2) An ability to apply knowledge of mathematics, science, and engineering 3) An ability to identify, formulate, and solve engineering problems 4) An ability to use the modern engineering techniques
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MODE OF DELIVERY | Face to face |
PRE-REQUISITES OF THE COURSE | No |
RECOMMENDED OPTIONAL PROGRAMME COMPONENT | None |
COURSE DEFINITION | This course is to give knowledge on partial differential equations; Laplace, diffusion and wave equations; Bessel and Legendre functions; integral equations; complex variable functions; complex integral calculations; series expansions and residual theorem. |
COURSE CONTENTS | WEEK | TOPICS |
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1st Week | Introduction | 2nd Week | Differential equations | 3rd Week | Partial differential equations | 4th Week | Laplace equations | 5th Week | Diffusion and wave equations | 6th Week | Bessel functions | 7th Week | Legendre functions | 8th Week | Midterm | 9th Week | Integral equations | 10th Week | Functions with complex variable | 11th Week | Angular conservative conversions | 12th Week | Complex integral | 13th Week | Series expansions | 14th Week | Residual theorem |
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RECOMENDED OR REQUIRED READING | FARLOW S.J., Partial Differential Equations for Scientists and Engineers, Dover Books on Advanced Mathematics STRAUSS W., Partial Differential Equations: An Introduction, ASMAR N.H., Partial Differential Equations and Boundary Value Problems with Fourier Series
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PLANNED LEARNING ACTIVITIES AND TEACHING METHODS | Lecture |
ASSESSMENT METHODS AND CRITERIA | | Quantity | Percentage(%) |
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Mid-term | 1 | 35 | Assignment | 1 | 5 | Quiz | 1 | 15 | Attendance | 1 | 5 | Total(%) | | 60 | Contribution of In-term Studies to Overall Grade(%) | | 60 | Contribution of Final Examination to Overall Grade(%) | | 40 | Total(%) | | 100 |
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ECTS WORKLOAD |
Activities |
Number |
Hours |
Workload |
Midterm exam | 1 | 2 | 2 | Preparation for Quiz | | | | Individual or group work | 16 | 8 | 128 | Preparation for Final exam | 6 | 7 | 42 | Course hours | 14 | 3 | 42 | Preparation for Midterm exam | 8 | 7 | 56 | Laboratory (including preparation) | | | | Final exam | 1 | 2 | 2 | Homework | 4 | 8 | 32 | Total Workload | | | 304 |
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Total Workload / 30 | | | 10,13 |
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ECTS Credits of the Course | | | 10 |
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LANGUAGE OF INSTRUCTION | Turkish |
WORK PLACEMENT(S) | No |
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