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Course Description Course Name : Numerical Methods in Engineering Course Code : MK-582 Course Type : Compulsory Level of Course : Second Cycle Year of Study : 1 Course Semester : Spring (16 Weeks) ECTS : 6 Name of Lecturer(s) : Prof.Dr. HÜSEYİN AKILLI Learning Outcomes of the Course : Knows engineering problems could be solved numerically Understands the advantages and disadvantages of numerical methods compared with analytical and experimental methods Writes numerical codes using any computer language Mode of Delivery : Face-to-Face Prerequisites and Co-Prerequisites : None Recommended Optional Programme Components : None Aim(s) of Course : To teach basic numerical methods required for typical engineering applications. Give students experience in understanding the properties of different numerical methods so as to be able to choose appropriate methods and interpret the results for engineering problems that they might encounter. Course Contents : Introduction to Computer Arithmetic. Linear Algebra and Matrices. Gaussian elimination and LU factorization. Nonlinear Equations. Polynomial interpolation. Splines. Numerical methods for integration. Gaussian Quadrature. Numerical Methods for Ordinary Differential Equations Language of Instruction : English Work Place : Department of Mechanical Engineering   Course Outline /Schedule (Weekly) Planned Learning Activities Week Subject Student's Preliminary Work Learning Activities and Teaching Methods 1 Introduction Read the related topics in the lecture notes and reference books Lecturing 2 Iterative solution of linear algebraic equations Read the related topics in the lecture notes and reference books Lecturing 3 Iterative solution of linear algebraic equations Read the related topics in the lecture notes and reference books Lecturing 4 Introduction to interpolation Read the related topics in the lecture notes and reference books Lecturing 5 Lagrange interpolation Read the related topics in the lecture notes and reference books Lecturing 6 Solving for roots of nonlinear equations Read the related topics in the lecture notes and reference books Lecturing 7 Solving for roots of nonlinear equations Read the related topics in the lecture notes and reference books Lecturing 8 Numerical differentiation Read the related topics in the lecture notes and reference books Lecturing 9 Numerical differentiation Read the related topics in the lecture notes and reference books Lecturing 10 Mid-term examination Written Examination Written Examination 11 Numerical integration Read the related topics in the lecture notes and reference books Lecturing 12 Numerical integration Read the related topics in the lecture notes and reference books Lecturing 13 Solution of first order initial value problems Read the related topics in the lecture notes and reference books Lecturing 14 Solution of first order initial value problems Read the related topics in the lecture notes and reference books Lecturing 15 Sets of simultaneous first order ODE Read the related topics in the lecture notes and reference books Lecturing 16/17 Final Examination Written Examination Written Examination   Required Course Resources Resource Type Resource Name Recommended Course Material(s)  Yang, W. Y., Cao, W. and Chung, T. S., Applied numerical methods using MATLAB, Wiley 2005  Steven Chapra, Raymond Canale, Numerical Methods for Engineers, Sixth Edition, McGraw-Hill Required Course Material(s)   Assessment Methods and Assessment Criteria Semester/Year Assessments Number Contribution Percentage     Mid-term Exams (Written, Oral, etc.) 1 50     Homeworks/Projects/Others 6 50 Total 100 Rate of Semester/Year Assessments to Success 40   Final Assessments 100 Rate of Final Assessments to Success 60 Total 100   Contribution of the Course to Key Learning Outcomes # Key Learning Outcome Contribution* 1 Is equipped with the basic knowledge of math, science and engineering 5 2 Is dominated with basic concepts, theories and principles in mechanical engineering 3 3 Plans and does experiments in advanced level, interpretes and analizes the results and the data 0 4 Is equipped with a variety of skills and advanced engineering techniques 3 5 To design a system, component or process in order to meet the needs of various engineering problems within the limitations of technical, economic, environmental, manufacturability, sustainability 0 6 Independently reviews and learns the applications in an enterprise, makes a critical assessment of the problems faced with, has the ability of selecting the proper technique to formulate problems and propose solutions 4 7 Identifies a product or its production process, design, development, and prioritise its use 0 8 Becomes aware of the necessity of lifelong learning and continuously self-renew 4 9 Is capable of effective oral and written English for technical or non-technical use 4 10 Uses computers effectively, has the ability of computer-aided drafting, design, analysis, and presentation 5 11 Has teamwork skills, good communication skills and works efficiently as a member of versatile and an interdisciplinary team 3 12 Is aware of the technical and ethical responsibilities, inquisitive and innovative 3 * Contribution levels are between 0 (not) and 5 (maximum).   Student Workload - ECTS Works Number Time (Hour) Total Workload (Hour) Course Related Works     Class Time (Exam weeks are excluded) 14 3 42     Out of Class Study (Preliminary Work, Practice) 14 4 56 Assesment Related Works     Homeworks, Projects, Others 6 5 30     Mid-term Exams (Written, Oral, etc.) 1 6 6     Final Exam 1 10 10 Total Workload: 144 Total Workload / 25 (h): 5.76 ECTS Credit: 6