| MARINE ENGINEERING | |||||
|---|---|---|---|---|---|
| Qualification Awarded | Length of Program | Toplam Kredi (AKTS) | Mode of Study | Level of Qualification & Field of Study | |
| 4 | 240 | FULL TIME |
TQF, TQF-HE, EQF-LLL, ISCED (2011):Level 6 QF-EHEA:First Cycle TQF-HE, ISCED (1997-2013): 52 |
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| Course Code: | SMME412 | ||||||||
| Course Name: | NUMERICAL ANALYSIS FOR ENGINEERS | ||||||||
| Course Semester: | Fall | ||||||||
| Course Credits: |
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| Language of instruction: | English | ||||||||
| Condition of Course: |
CE111 - BİLGİSAYAR TEKNOLOJİLERİ ve PROGRAMLAMAYA GİRİŞ | MF111 - COMPUTER TECHNOLOGIES AND PROGRAMMING |
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| Does the Course Work Experience Require?: | No | ||||||||
| Course Type : | Zorunlu | ||||||||
| Course Level: |
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| Mode of Delivery: | Face to face | ||||||||
| Name of Coordinator: | Dr. Öğr. Üyesi Azime ÇETİNKAYA | ||||||||
| Course Lecturer(s): |
Dr. Öğr. Üyesi Azime ÇETİNKAYA Asst. Prof. Dr. Orhan Özgür AYBAR |
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| Course Assistants: |
| Course Objectives: | 1. To provide a basis on numerical techniques used in engineering problems, 2. To prepare students for solving engineering problems and mathematical models by numerical calculation devices effectively, 3. To acquaint students with the right sense of selecting appropriate solution technique for the problem in hand. |
| Course Content: | Introduction to Numerical Methods, Errors and Their Sources, Roots of Equations: Bracketing Methods (Bisection and False Position Methods), Open Methods (Fixed-Point Iteration, Newton-Raphson and Secant Methods), Solutions of Linear Systems of Equations: Gauss Elimination, LU Factorization, Matrix Inversion, Solutions of Linear and Nonlinear Systems of Equations: Jacobi, Gauss-Seidel and Newton Raphson Methods, Interpolation and Extrapolation of Tabulated Data, Curve Fitting by Least Squares, Numerical Differentiation, Numerical Integration: The Trapezoidal Rule, Simpson’s Rules , Romberg Integration, Numerical Solutions of Differential Equations: Picard’s and Taylor Series Method , Numerical Solutions of Differential equations: Euler’s, Modified Euler’s and Runge-Kutta Methods, Finite Difference Methods |
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The students who have succeeded in this course;
1) Defining errors in a computer system and number representation 2) Finding roots of functions, various root finding methods 3) Solving linear systems 4) Optimization 5) Understanding the difference between regression and interpolation 6) Understanding various numerical integration schemes 7) Understanding numerical differentiation and solving ODE’s 8) Finite difference and PDE’s |
| Week | Subject | Related Preparation |
| 1) | Mathematical Modeling, Engineering Problem Solving, | |
| 2) | Approximations, Round-Off Errors, Truncation Errors and the Taylor Series | |
| 3) | Bracketing Methods, Open Methods in root finding | |
| 4) | Roots of Polynomials | |
| 5) | Gauss Elimination, LU Decomposition and Matrix Inversion | |
| 6) | Special Matrices and Gauss-Seidel | |
| 7) | One-Dimensional Unconstrained Optimization, Multidimensional Unconstrained Optimization | |
| 8) | Least-Squares Regression, Interpolation | |
| 9) | Newton-Cotes Integration Formulas | |
| 10) | Numerical Differentiation, Runge-Kutta Methods | |
| 11) | Stiffness and Multistep Methods | |
| 12) | Boundary-Value and Eigenvalue Problems | |
| 13) | Finite Difference, Elliptic Equations, Parabolic Equations | |
| 14) | General Overview |
| Course Notes / Textbooks: | |
| References: | 1. Applied numerical analysis1 Curtis F. Gerald, Patrick O. Wheatey, Pearson Education, Inc. 2. Numerical Analysis, Richard L. Burden and J. Douglas Faires, Brooks/Cole Buchanan, J.L. and Turner, P.R., 3. Numerical Methods and Analysis, McGraw-Hill Gilat, A. and Subramaniam, V. 4. Numerical Methods for Engineers and Scientists 3rd Edition, Wiley 5.Numerical Methods for Engineers, Chapra, S.C., Canale, R.P., McGraw-Hill |
| Course Learning Outcomes | 1 |
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| Program Outcomes | |||||||||||||
| 1) An ability to apply knowledge of mathematics, science, and engineering | |||||||||||||
| 2) An ability to design and conduct experiments, as well as to analyze and interpret data | |||||||||||||
| 3) An ability to design a system, component or process to meet desired needs | |||||||||||||
| 4) Ability to function on multi-disciplinary teams | |||||||||||||
| 5) An ability to identify, formulate, and solve engineering problems | |||||||||||||
| 6) An understanding of professional and ethical responsibility | |||||||||||||
| 7) An ability to communicate effectively | |||||||||||||
| 8) The broad education necessary to understand the impact of engineering solutions in a global and societal context | |||||||||||||
| 9) A recognition of the need for, and an ability to engage in life-long learning | |||||||||||||
| 10) A knowledge of contemporary issues | |||||||||||||
| 11) An ability to use the techniques, skills and modern engineering tools necessary for engineering practice | |||||||||||||
| 12) An ability to apply legal, societal and environmental knowledge in maritime transport and in all respective modes of transport operations | |||||||||||||
| 13) An ability to interpret and analysis of the data regarding maritime management and operations, recognition and solution of problems for decision making process | |||||||||||||
| No Effect | 1 Lowest | 2 Average | 3 Highest |
| Program Outcomes | Level of Contribution | |
| 1) | An ability to apply knowledge of mathematics, science, and engineering | 2 |
| 2) | An ability to design and conduct experiments, as well as to analyze and interpret data | 1 |
| 3) | An ability to design a system, component or process to meet desired needs | 3 |
| 4) | Ability to function on multi-disciplinary teams | 2 |
| 5) | An ability to identify, formulate, and solve engineering problems | 3 |
| 6) | An understanding of professional and ethical responsibility | 1 |
| 7) | An ability to communicate effectively | 2 |
| 8) | The broad education necessary to understand the impact of engineering solutions in a global and societal context | 2 |
| 9) | A recognition of the need for, and an ability to engage in life-long learning | 2 |
| 10) | A knowledge of contemporary issues | 2 |
| 11) | An ability to use the techniques, skills and modern engineering tools necessary for engineering practice | |
| 12) | An ability to apply legal, societal and environmental knowledge in maritime transport and in all respective modes of transport operations | |
| 13) | An ability to interpret and analysis of the data regarding maritime management and operations, recognition and solution of problems for decision making process |
| Semester Requirements | Number of Activities | Level of Contribution |
| Attendance | 28 | % 0 |
| Midterms | 20 | % 40 |
| Semester Final Exam | 20 | % 60 |
| Total | % 100 | |
| PERCENTAGE OF SEMESTER WORK | % 40 | |
| PERCENTAGE OF FINAL WORK | % 60 | |
| Total | % 100 | |
| Aktiviteler | Number of Activities | Duration (Hours) | Workload |
| Course | 14 | 2 | 28 |
| Midterms | 20 | 1 | 20 |
| Semester Final Exam | 20 | 1 | 20 |
| Total Workload | 68 | ||