FACULTY OF SCIENCE / MATHEMATICS / MAT2006 - DIFFERENTIAL EQUATIONS II

Contents Of The Courses in a weekly Period

Week 
Subjects 
Sources 
1Review of power series, Series solutions near an ordinary point.[1] p.231-241
2Series solutions near an ordinary point.[1] p.241-251
3Regular singular points, Euler equations.[1] p.251-261
4Series solutions near a regular singular points, the real roots not differing by an integer of indicial equations.[1] p.261-271
5Series solutions near a regular singular points, equal roots and differing by an integer of indicial equations.[1] p.271-280
6Systems of first order linear equations : Review of matrices, Eigenvalues and eigenvectors.[1] p.339-348
7Homegeneous lineer systems with constant coefficients. Real and different eigenvalues case.[1] p.348-357
8Homegeneous lineer systems with constant coefficients. Complex eigenvalues case.[1] p.357-368
9Homegeneous lineer systems with constant coefficients. Repeated eigenvalues case.[1] p.368-384
10Nonhomegeneous lineer systems with constant coefficients. Undetermined coefficient[1] p.384-401
11Nonhomegeneous lineer systems with constant coefficients. Variation of parameters.[1] p.401-419
12The Laplace transform, Solutions of initial value problems.[1] p.293-310
13Inverse Laplace transform, Step functions.[1] p.310-324
14 Impulse functions, convolution integral and its relation to sustainable engineering.[1] p.324-339