| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | MM236Z | İleri Mühendislik Matematiği | Elective | 1 | 2 | 6 |
|
| Level of Course Unit |
| Second Cycle |
| Objectives of the Course |
| The aim of this course is to teach advanced engineering mathematics to solve engineering problems and to apply this knowledge to engineering problems. |
| Name of Lecturer(s) |
| - |
| Learning Outcomes |
| 1 | Be able to model engineering problems. | | 2 | Solve the modeling problem. | | 3 | Know how to solve differential equations. | | 4 | Laplace Transformation | | 5 | - |
|
| Mode of Delivery |
| Normal Education |
| Prerequisites and co-requisities |
| None |
| Recommended Optional Programme Components |
| None |
| Course Contents |
| Solution of Ordinary Differential Equations with Power Series, Frobenius Method, Solution of Ordinary Differential Equations, Solution of Ordinary Differential Equations, Computer Aided Symbolic and Numerical Analysis, Modeling and Solution of Initial and Boundary Value Problems, Solution of Ordinary Differential Equations with Power Series, Fourier series, Fourier integrals and Fourier transform, Laplace transformation, Partial Differential equations and solution methods, Discrimination method to variables, Discrimination method to variables. |
| Weekly Detailed Course Contents |
|
| 1 | Mathematical modeling of engineering problems
| | | | 2 | Introduction and classification of differential equations.
| | | | 3 | Solving ordinary differential equations. Computer aided symbolic and numerical analysis.
| | | | 4 | Modeling and solution 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 | Mid-term exam
| | | | 9 | Fourier series
| | | | 10 | Fourier integrals and Fourier transform
| | | | 11 | Laplace transformation
| | | | 12 | Partial Differential equations and solution methods
| | | | 13 | Method of separating variables
| | | | 14 | Method of separating variables
| | | | 15 | Method of separating variables | | |
|
| 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. |
| Planned Learning Activities and Teaching Methods |
|
| Assessment Methods and Criteria | |
| Midterm Examination | 1 | 100 | | SUM | 100 | |
| Final Examination | 1 | 100 | | SUM | 100 | | Term (or Year) Learning Activities | 40 | | End Of Term (or Year) Learning Activities | 60 | | SUM | 100 |
| | Language of Instruction | | Turkish | | Work Placement(s) | | None |
|
| Workload Calculation |
|
| Midterm Examination | 1 | 1 | 1 |
| Final Examination | 1 | 2 | 2 |
| Attending Lectures | 14 | 3 | 42 |
| Practice | 1 | 12 | 12 |
| Project Preparation | 1 | 12 | 12 |
| Seminar | 1 | 6 | 6 |
| Self Study | 14 | 5 | 70 |
| Individual Study for Mid term Examination | 1 | 10 | 10 |
| Individual Study for Final Examination | 1 | 12 | 12 |
| Homework | 1 | 15 | 15 |
|
| Contribution of Learning Outcomes to Programme Outcomes |
| LO1 | 5 | 5 | 1 | 5 | 5 | 1 | | LO2 | 5 | 5 | 1 | 5 | 5 | 1 | | LO3 | 5 | 5 | 1 | 5 | 5 | 1 | | LO4 | 5 | 5 | 1 | 5 | 5 | 1 | | LO5 | 5 | 5 | 1 | 5 | 5 | 1 |
|
| * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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