Course Archives    Theoretical Statistics and Mathematics Unit
Course: Differential Equations
Instructor: C R E Raja
Room: Second floor auditorium
Level: Undergraduate
Time: Currently offered
Website: teaching
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

Midterm Exam 30 marks
Assignment 20 marks
Final Exam 50 marks
Total 100 marks

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Past Exams
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
12.pdf 14.pdf 15.pdf
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
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

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