| Code |
Course Name |
Language |
Type |
| MAT 232 |
Differential Equations |
Turkish |
Compulsory |
| Local Credits |
ECTS |
Theoretical |
Tutorial |
Laboratory |
| 4 |
7 |
4 |
0 |
0 |
| Course Prerequisites and Class Restriction |
| Prerequisites |
MAT 112 MIN DD
or MAT 112E MIN DD
or MAT 102 MIN DD
or MAT 102E MIN DD
or MAT 104 MIN DD
or MAT 104E MIN DD
or MAT 188 MIN DD
or MAT 188E MIN DD
or MAT 186 MIN DD
or MAT 186E MIN DD
|
| Class Restriction |
None |
| Course Description |
| Classification of Differential Equations, First order equations; Linear equations, Separable equations, Change of variable and
integrating factor, Existence and uniqueness theorems, applications. Second order linear equations; Linear equations with
constant coeficients, Homogeneous equations, The method of reduction of order, Nonhomogeneous Equations, The method
of undetermined coefficients, The method of variation of parameters, Higher order linear equations. Euler-Cauchy equation.
Power series method; Solutions around ordinary and regular-singular points. Laplace transformation; basic definition and
theorems, Solutions of initial value problems, Convolution, Delta function, Transfer function. Systems of linear differential
equations; Fundamental theorems, Solutions of homogeneous and nonhomogeneous system of differential equations,
Solutions using Laplace transformation. |
|
