Course Archives    Theoretical Statistics and Mathematics Unit

Course: Differential Equations Level: Undergraduate Time: Currently not offered Website: teaching

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 Top of the page Past Exams

Midterm 06.pdf 09.pdf 10.pdf 11.pdf 12.pdf 13.pdf 14.pdf 15.pdf 16.pdf 17.pdf 18.pdf 19.pdf 20.pdf 22.pdf 23.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 18.pdf 19.pdf 21.pdf 22.pdf 23.pdf Supplementary and Back Paper 10.pdf 12.pdf 14.pdf 15.pdf 16.pdf 17.pdf 18.pdf 19.pdf 19.pdf 22.pdf 22.pdf Top of the page

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