Course Archives    Theoretical Statistics and Mathematics Unit
Course: Differential Equations
Level: Undergraduate
Time: Currently not offered
Website: http://www.isibang.ac.in/~athreya/Teaching/diff13
Syllabus
Past Exams


Syllabus: Ordinary differential equations - first order equations, Picards theorem (existence and uniqueness of solution to first order ordinary differential equation), Second order linear equations - second order linear differential equations with constant coefficients, Systems of first order differentialequations, Equations with regular singular points, Introduction to power series and power series solutions, Special ordinary differential equations arising in physics and some special functions (eg. Bessels functions, Legendre polynomials, Gamma functions). Partial differential equations - elements of partial differential equations and the three equations of physics i.e. Laplace, Wave and the Heat equations, at least in 2 - dimensions. Lagranges method of solvingfirst order quasi linear equations.

Reference Texts:
1. G.F. Simmons:Differential Equations
2. R. Haberman: Elementary applied partial differential equations
3. R. Dennemeyer: Introduction to partial differential equations and boundary value problems

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Past Exams
Midterm
06.pdf 09.pdf 10.pdf 11.pdf 12.pdf 13.pdf 14.pdf 15.pdf 16.pdf 17.pdf
Solution
12.pdf 14.pdf 15.pdf
Semestral
05.pdf 06.pdf 09.pdf 10.pdf 11.pdf 12.pdf 13.pdf 14.pdf 15.pdf 16.pdf 17.pdf
Supplementary and Back Paper
10.pdf 12.pdf 14.pdf 15.pdf 16.pdf 17.pdf

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