Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | İNM-23-122 | ADVANCED ENGINEERING MATHEMATICS | Elective | 1 | 1 | 6 |
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Level of Course Unit |
Second Cycle |
Objectives of the Course |
The aim of this course is to teach advanced engineering mathematics required to solve Mechanical Engineering problems and to apply this knowledge to engineering problems.
Mathematical modeling of engineering problems, Introduction and classification of differential equations, Solution of ordinary differential equations, Computer-aided symbolic and numerical analysis, Modeling and solutions of initial and boundary value problems, Differential equation sets and solutions, Solution of ordinary differential equations with the help of force series, Frobenius method, To be able to understand and apply Fourier series, Fourier integrals and Fourier transform, Laplace transform, Partial Differential equations and solution methods, Variable decomposition method and the specified topics. |
Name of Lecturer(s) |
Dr. Öğretim Üyesi Muhammet Raci AYDIN |
Learning Outcomes |
1 | Students; Knows Advanced Engineering Mathematics and can apply it to engineering problems, model an engineering problem, solve the modeled problem, know how to solve differential equations, perform Laplace transform, have knowledge about a computer aided mathematics program. |
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Mode of Delivery |
Daytime Class |
Prerequisites and co-requisities |
no prerequisites |
Recommended Optional Programme Components |
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Course Contents |
Mathematical modeling of engineering problems
Introducing differential equations, classification.
Solving ordinary differential equations. Computer aided symbolic and numerical analysis.
Modeling and solutions of initial and boundary value problems.
Differential equation sets and solutions
Solution of ordinary differential equations with power series
Frobenius method
Fourier series
Fourier integrals and Fourier transform
Laplace transform
Partial Differential Equations and Solution Methods
Separation method |
Weekly Detailed Course Contents |
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1 | Mathematical modeling of engineering problems | | | 2 | Introducing differential equations, classification. | | | 3 | Solving ordinary differential equations. Computer aided symbolic and numerical analysis. | | | 4 | Modeling and solutions of initial and boundary value problems. | | | 5 | Differential equation sets and solutions | | | 6 | Solution of ordinary differential equations with power series | | | 7 | Frobenius method | | | 8 | Midterm | | | 9 | Fourier series | | | 10 | Fourier integrals and Fourier transform | | | 11 | Laplace transform | | | 12 | Partial Differential Equations and Solution Methods | | | 13 | Separation method | | | 14 | Final | | |
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Recommended or Required Reading |
- C.R. Wylie - L. C. Barrett, Advanced Engineering Mathematics, McGraw Hill Publ. Comp.
- E. Kreyszig, Advanced Engineering Mathematics, J. Wiley Publ. Comp.
- Yunus A. Çengel, William J. Palm, Diferansiyel Denklemler: Mühendislik ve Temel Bilimler İçin, ISBN-13: 978-9756240496, Güven Basım. K. 1. Baskı, 2013. |
Planned Learning Activities and Teaching Methods |
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Assessment Methods and Criteria | |
Midterm Examination | 1 | 100 | SUM | 100 | |
Final Examination | 1 | 100 | SUM | 100 | Term (or Year) Learning Activities | 50 | End Of Term (or Year) Learning Activities | 50 | SUM | 100 |
| Language of Instruction | Turkish | Work Placement(s) | no prerequisites |
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Workload Calculation |
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Midterm Examination | 1 | 1 | 1 |
Final Examination | 1 | 20 | 20 |
Attending Lectures | 12 | 8 | 96 |
Problem Solving | 12 | 1 | 12 |
Self Study | 12 | 1 | 12 |
Homework | 5 | 5 | 25 |
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Contribution of Learning Outcomes to Programme Outcomes |
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* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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Iğdır University, Iğdır / TURKEY • Tel (pbx): +90 476
226 13 14 • e-mail: info@igdir.edu.tr
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