Course Information Semester Course Code Course Title T+P+L Credit ECTS 3 99600007 Differential Equations 4+0+0 5 5 Course Details Language : Level : Department / Program : Mode of Delivery : Type : Objectives : Content : Methods & Techniques : Prerequisites and co-requisities : Course Coordinator : Name of Lecturers : Assistants : Work Placement(s) : Recommended or Required Reading In-Term Study Informations In-Term Studies Quantity Percentage Mid-terms 1 40% Final examination 1 60% Total 2 100% Activity Informations Activities Quantity Duration Total Work Load Course Duration 14 4 56 Hours for off-the-c.r.stud 14 3 42 Assignments 4 1 4 Mid-terms 1 8 8 Final examination 1 10 10 Total Work Load ECTS: 5 120 Course Learning Outcomes Upon the successful completion of this course, students will be able to: No Learning Outcomes 1 Knows the engineering applications of basic mathematical knowledge and theorems. 2 Know Differential Equations, Solution Methods and Engineering Applications Weekly Detailed Course Contents Week Topics 1 Equations, Definition and Classification of Equations, Difference Scale and Scale, Solutions of Difference Equations: Integral Curve, Open-Open Solution, Special Solution, General Solution, Unique Solution, Initial Value Problem. Obtaining of Differential Equations 3 First Order Differential Equations: Separable Difference by Variables, Differential Differences with Variables, Difference Equations, Homogeneous Functions, Homogeneous Difference Equations, Homogeneous Hale Insoluble Difference Equations. 5 Linear Equations, Integral Multipliers Method, Parameter Change Method. 7 Second Order Linear Difference Equations: Equations with Constant Coefficient Homogeneous Difference, Characteristic Equation, General Solutions of Linear Homogeneous Equations, Linear Independence and Wronskian Determinancy. 9 Complex Roots of the Characteristic Equation, Real Roots, Repeating Roots, Order Drop, Nonhomogeneous Equations. 11 Indeterminate Coefficients Method, Variation Method of Parameters (Constant), Some Special Second Order Differential Equations: Difference Variables, Difference Equations without Independent Variables. Euler Equation Equation with Variable Coefficient 13 Laplace transformation, Definition of Laplace Transformation, 15 Initial Value Problems Solution with Laplace Transformation. Contribution of Learning Outcomes to Programme Outcomes P1P2P3P4P5P6P7P8P9P10P11 All 5555 C1 5555 C2 5555 bbb
