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ISTANBUL GELİŞİM UNIVERSITY INFORMATION SYSTEM

DIFFERENTIAL EQUATIONS COURSE IDENTIFICATION AND APPLICATION INFORMATION

Code Name of the Course Unit Semester In-Class Hours (T+P) Credit ECTS Credit
MTH203 DIFFERENTIAL EQUATIONS 3 4 3 5

WEEKLY COURSE CONTENTS AND STUDY MATERIALS FOR PRELIMINARY & FURTHER STUDY
Week Preparatory Topics(Subjects) Method
1 - Definition and classification of differential equations. Initial-Value and Boundary-Value Problems. -
2 - First order differential equations - Exact differential equations. Integrating factors. -
3 - First order differential equations - Separable and Homogeneous equations. -
4 - First order differential equations - Linear and Bernoulli equations. -
5 - Applications of first order differential equations. -
6 - Second and higher order differential equations - Homogeneous linear equations. -
7 - Second and higher order diff.eqns - Nonhomogeneous eqns. Method of undetermined coefficients. -
8 - ARA SINAV -
9 - Second and higher order diff.eqns - Variation of parameters. Cauchy-Euler equation. -
10 - Laplace Transform. Inverse Transform. Convolution. -
11 - Laplace Transform. Solution of Linear Differential Equations. -
12 - Systems of linear differential equations. Differential operators. -
13 - Systems of linear differential equations in normal form. Matrices and vectors. -
14 - Series solutions of linear differential equations. Power series solutions. -
15 - Series solutions of linear differential equations. Method of Frobenius. -
16 - FİNAL -
17 - FİNAL -