Lesson plan / DIFFERENTIAL EQUATIONS

Lesson Information

Course Credit 4.0
Course ECTS Credit 4.0
Teaching Language of Instruction Türkçe
Level of Course Bachelor's Degree, TYYÇ: Level 6, EQF-LLL: Level 6, QF-EHEA: First Cycle
Type of Course Compulsory
Mode of Delivery Face-to-face
Does the course require compulsory or optional work experience? Z
Course Coordinator
Instructor (s)
Course Assistant

Purpose and Content

The aim of the course To gain the students with the introductory level information of differential equations theory.
Course Content Differential quations and fundamental properties ,boundary- value problems ,the theorems of existence and unique,seperable equations and equations reducible to this form, homogeneous differential equations , if P and Q are linears, exact differential equations ,the concept of integrating factors and finding multiplies of differential quations , linear and Bernoulli differential equations , Riccati differential equation,solutions with sustitution variable , systems,orthogonal and oblique trajectories , first and high order degrees differential equations Clairaut and Lagrange differential equations, solutions about singular points,envelops, n.order degrees linear linear differential equations with constant coefficients, the method of undetermined coefficients,the short methods ,variation of parameters , Euler differential equation ,diferential equation with variable coefficients .Laplace transformation; solutions using Laplace transformation.

Weekly Course Subjects

1Differential quations and fundamental properties ,boundary- value problems.
2The theorems of existence and unique,seperable equations and equations reducible to this form, homogeneous differential equations.
3If P and Q are linears, exact differential equations.
4The concept of integrating factors and finding multiplies of differential quations.
5Linear and Bernoulli differential equations.
6Riccati differential equation,solutions with subsititution variable.
7Systems,orthogonal and oblique trajectories.
8First and high order differential equations. Clairaut and Lagrange differential equations, solutions about singular points,envelops.
9Midterm Exam.
10n th order linear linear differential equations with constant coefficients.
11The method of undetermined coefficients,the short methods.
12Variation of Parameters,Euler differential equation.
13Diferential equation with variable coefficients.
14Laplace transformation; solutions using Laplace transformation.

Resources

1.William E. Boyce, Richard C.DiPrima, Elementary Differential Equations and Boundary Value Problems : International Student Version, Boyce & Dprima, John Wiley & Sons, 2010.

2. Richard Bronson, Erin J. Bredensteiner , Differential Equations,Schaum’s Outlines, McGraw-Hill, 2003.

3. Shepley L. Ross, Differential Equations, 3. Edition

4 Edward B. Saff and Arthur David Snider, Fundementals of Differential Equations and Boundary Value Problems, R. Kent Nagle, Addison,New York, 2004.
5-Yunus A. Çengel, William J. Palm. Mühendislik ve Temel Bilimler için Diferansiyel Denklemler.İzmir Güven Kitabevi. (2013) (Tahsin Engin, Cevdet Cerit, Fatma Ayaz)