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Course Description Course Name : Applied Mathematics For. Mech. Eng. Course Code : ME 251 Course Type : Compulsory Level of Course : First Cycle Year of Study : 2 Course Semester : Fall (16 Weeks) ECTS : 5 Name of Lecturer(s) : Prof.Dr. NAKİ TÜTÜNCÜ Learning Outcomes of the Course : Vector Functions Series Expansion of Functions Line Integrals Double Integrals (Area Integrals) Differential Equations: Analytical Solutions Mode of Delivery : Face-to-Face Prerequisites and Co-Prerequisites : None Recommended Optional Programme Components : None Aim(s) of Course : Informing engineering students of funaemental mathematical concepts found in engineering problems and showing them the basic analytical solution methods Course Contents : Series.Power Series. Taylor and MacLaurin Series. Complex Numbers. Vektor Functions. Gradient., Divergence, Laplacian Operators. Directional Derivative. Line Integrals. Area Integrals. Differential Equations: Definition and Types. First-Order Equations. Linear Equations. First-Order Partial Differential Equations. Second-Order Equations with Constant Coefficients. Laplace Transformations. Language of Instruction : English Work Place : Lecture Hall   Course Outline /Schedule (Weekly) Planned Learning Activities Week Subject Student's Preliminary Work Learning Activities and Teaching Methods 1 Sequences. Series. Convergence-Divergence Read the related topics in the lecture notes and reference books Classroom Lcture 2 Power Series. Taylor and Maclaurin Series Read the related topics in the lecture notes and reference books Classroom Lecture 3 Complex Numbers Read the related topics in the lecture notes and reference books Classroom Lecture 4 Partial Differentiation. Chain Rule Read the related topics in the lecture notes and reference books Classroom Lcture 5 Vector Calculus. Gradient and Directional Derivative Read the related topics in the lecture notes and reference books Classroom Lecture 6 Multiple Integrals: Double Integrals Read the related topics in the lecture notes and reference books Classroom Lecture 7 Area Integrals using Polar Coordinates Read the related topics in the lecture notes and reference books Classroom Lecture 8 Divergence, Curl and Laplacian. Line Integrals Read the related topics in the lecture notes and reference books Classroom Lecture 9 Midterm 10 Differential Equations (DE), First-order DE Read the related topics in the lecture notes and reference books Classroom Lecture 11 Linear First-order Partial DE Read the related topics in the lecture notes and reference books Classroom Lecture 12 Nonhomogeneous DE Read the related topics in the lecture notes and reference books Classroom Lecture 13 Laplace Transformation Read the related topics in the lecture notes and reference books Classroom Lecture 14 Second-order Linear Partial DE Read the related topics in the lecture notes and reference books Classroom Lecture 15 DE Applications Read the related topics in the lecture notes and reference books Classroom Lecture 16/17 Final Exam   Required Course Resources Resource Type Resource Name Recommended Course Material(s)  Lecture Notes Required Course Material(s)   Assessment Methods and Assessment Criteria Semester/Year Assessments Number Contribution Percentage     Mid-term Exams (Written, Oral, etc.) 1 30     Homeworks/Projects/Others 1 70 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 Students gain a command of basic concepts, theories and principles in mechanical engineering 3 2 Student become equipped with the basic knowledge of math, science and engineering 5 3 Students are able to design and carry out experiments in the basic fields of mechanical engineering, and interpret the results and the data obtained from the experiments 1 4 Students become equipped with a variety of skills and knowledge regarding engineering techniques 4 5 Students are able to design a system, component or process in order to meet the needs of various engineering problems within technical, economic, environmental, manufacturability, and sustainability limits. 2 6 Students independently review and learn the applications in an enterprise, make a critical assessment of the problems faced with, formulate problems and propose solutions by selecting the proper technique 5 7 Students take initiative in identification, design, development and use of a product or production process. 2 8 Students become aware of the necessity of lifelong learning and continuously self-renew 3 9 Students use English effectively for technical or non-technical topics orally or in wirtten form. 5 10 Students become effective in using computer, computer-aided drafting, design, analysis, and presentation 1 11 Students have good communicatino skills with a tendency to work in teams, and are able to work effectively as a member of an interdisciplinary team 3 12 Students become aware of the technical and ethical responsibilities, as well as being inquisitive and innovative 2 * 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 1 1 1     Mid-term Exams (Written, Oral, etc.) 1 3 3     Final Exam 1 3 3 Total Workload: 119 Total Workload / 25 (h): 4.76 ECTS Credit: 5