Course Archives
Theoretical Statistics and Mathematics Unit |
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Course: Differential Equations Instructor: Dhanya Rajendran Room: G23 Level: Undergraduate Time: Currently offered Website: |
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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 Evaluation:
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