University of Madras - Syllabus of Bachelor of Science (BSc) Mathematics - Semester V - Application Oriented Subject I - Special Functions I
UNIVERSITY OF MADRAS
B.Sc. DEGREE COURSE IN MATHEMATICS
SEMESTER SYSTEM WITH CREDITS
(Effective from the Academic Year 2003-2004)
SYLLABUS
Semester V - Application Oriented Subject I - Special Functions I
Simultaneous linear differential equation - Particular solution of variation of parameter - Numerical methods for solving ordinary differential equations-Use of Taylor series- Adams method - Runge-Kutta method-Picards method- Extrapolation with differences.
Series solution of differential equations- Properties of power series-Singular points of linear second order differential equation- The method of Frobenius -Bessel Functions-Properties of Bessel Functions-Differential Equation satisfied by Bessel Functions-Legender Functions.
Book for Study:
Advanced Calculus of Application
F.B. Hilder brandt
(Section: 1.8,1.9.3.1 to 3.4.4.1 to 4.8 to 4.10, 4.12)
Book for REFERENCE:
1. Differential Equations and Calculus of Variations - L.Els golts
2. Differential Equations - Diwan and Agashe
3. Numerical Analysis - Sear borough