Subject: Subject Sylbus: Analytical Methods for Differential Eqns - 196012

Analytical Methods for Differential Eqns - 196012
Credit
Points
4.0
 
Given In
Semester
a
 
  Lecture Exercise Laboratory Project or
Seminar
House
Work
Weekly
Hours
4        

Determination of the grade according to progress during the semester and a final examination.


Prerequisites: ( Differential and Integral Calculus 2T 104013
and Ordinary Dif.Equations and Calculus 2H 104035 )
or ( Differential and Integral Calculus 2T 104013
and Ordinary Differential Equations/T 104135 )
or ( Differential and Integral Calculus 2T 104013
and Ordinary Differential Equations/T 104135 )
or ( Infinitesimal Calculus 3 104282
and Ordinary Differential Equations a 104285 )
 
Linked Courses: Complex Functions a 104215


Generalized Fourier Series and Sturm-Liouville Problems, Self-Adjoint and Non Self-Adjoint Problems, Fredholm Alternative Theorem, Green Functions and Their Application. Bessel and Legendre Equations. Solutions of Pde Using Transformation Methods (Laplace and Fourier).
1. Obtain Solvability Conditions for Non-Homogeneous Odes with Boundary Conditions.
2. Obtain and Use Green'S Functions for Odes and Pdes.
3. Solve Pdes Using Generalized Fourier Series Usind Special Functions and Familiarize with Their Properties.
4. Solve Odes and Pdes Using Integral Transforms, Using Special Functions.




System of hours to the semesters
Semester Previous Semester information 01/2021 2021/2022 Winter Semester


Textbooks
PublishedPublisherAuthorsBook
2015scholar's choiceel inceordinary differential equatioms
1987society for industrial and applied mathematicscarrier and pearsonordinary differential equations
2011wileystakgoldgreen's function and boundary value problems
1972dover books on mathematicslebedevspecial functions and their applications
2011הפקולטה למתמטיקה, טכניוןיהודה פינצ'ובר וקובי רובינשטייןמבוא למשוואות דיפרנציאליות חלקיות
1995הפקולטה למתמטיקה, טכניוןסמי זעפרני ואלן פינקוסטורי פורייה והתמרות אינטגרליות

Created in 24/01/2022 Time 22:51:03