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Course Description Course Name : Analytical Methods in Engineering Course Code : MK-575 Course Type : Compulsory Level of Course : Second Cycle Year of Study : 1 Course Semester : Fall (16 Weeks) ECTS : 6 Name of Lecturer(s) : Prof.Dr. HÜSEYİN AKILLI Learning Outcomes of the Course : Finds analytical solutions of linear ordinary and partial differential equations Is familiar with Fourier series, and special functions Mode of Delivery : Face-to-Face Prerequisites and Co-Prerequisites : None Recommended Optional Programme Components : None Aim(s) of Course : Equip students with the basic practical information on a variety of engineering mathematics to gain the ability to solve mathematical problems. Course Contents : Ordinary differential equations. Series solutions of ordinary differential equations. Fourier series and Fourier integral. Partial differential equations. Separation of variables. Gamma, Bessel, Laguerre functions. Language of Instruction : English Work Place : Meeting room of ME Department   Course Outline /Schedule (Weekly) Planned Learning Activities Week Subject Student's Preliminary Work Learning Activities and Teaching Methods 1 First Order Differential Equations Read the related topics in the lecture notes and reference books Lecturing 2 Second Order DE Read the related topics in the lecture notes and reference books Lecturing 3 Series Solutions of Second Order Linear Equations Read the related topics in the lecture notes and reference books Lecturing 4 The Laplace Transform Read the related topics in the lecture notes and reference books Lecturing 5 Systems of First Order Linear Equations Read the related topics in the lecture notes and reference books Lecturing 6 Nonlinear DE and Stability Read the related topics in the lecture notes and reference books Lecturing 7 Partial Differential Equations and Fourier Series Read the related topics in the lecture notes and reference books Lecturing 8 Partial Differential Equations and Fourier Series Read the related topics in the lecture notes and reference books Lecturing 9 Partial Differential Equations and Fourier Series Read the related topics in the lecture notes and reference books Lecturing 10 Boundary Value Problems Read the related topics in the lecture notes and reference books Lecturing 11 Mid-Term Examination Written Examination Written Examination 12 Boundary Value Problems Read the related topics in the lecture notes and reference books Lecturing 13 Solution of Boundary Value Problems Read the related topics in the lecture notes and reference books Lecturing 14 Solution of Boundary Value Problems Read the related topics in the lecture notes and reference books Lecturing 15 Solution of Boundary Value Problems 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)  Elementry Differential Equations and Boundry Value Problems, William E. Boyce, Richard C. DiPrima, John Wiley & Sons, Inc. 5.th Edition  Advanced Engineering Mathematics, Michael D. Greenberg, Prentice Hall, Second Edition 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 5 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 4 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 2 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 3 7 Identifies a product or its production process, design, development, and prioritise its use 3 8 Becomes aware of the necessity of lifelong learning and continuously self-renew 5 9 Is capable of effective oral and written English for technical or non-technical use 5 10 Uses computers effectively, has the ability of computer-aided drafting, design, analysis, and presentation 4 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 5 * 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 4 56     Out of Class Study (Preliminary Work, Practice) 14 4 56 Assesment Related Works     Homeworks, Projects, Others 5 5 25     Mid-term Exams (Written, Oral, etc.) 1 5 5     Final Exam 1 8 8 Total Workload: 150 Total Workload / 25 (h): 6 ECTS Credit: 6