National University of Sciences and Technology
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MATH-804 Differential Equations
Campus SNS
Programs PG
Session Fall Semester 2016
Course Title Differential Equations
Course Code MATH-804
Credit Hours 3-0
Course Objectives The course reviews the elementary theory of ordinary differential equations, introduces the basic notions and methods of solving systems of linear differential equations of order one and linear differential equations of higher order. It then discusses methods for solving partial differential equations and boundary value problems for the main equations of mathematical physics.
Detail Content The course includes the theory of systems of ordinary differential equations of the first order, the theory of ordinary differential equations of higher orders, methods of solutions of boundary value problems for partial differential equations. It will cover linear independence of functions, its use for solutions of linear equations, the power series and Frobenius methods, solution of partial differential equations and boundary value problems by the separation of variables and by Fourier series and Laplace and Fourier transforms.
Text/Ref Books Introduction to Differential Equations (Sixth Edition)
D.G. Zill
Brooks/Cole Publishing Co., 1995

Ordinary Differential Equations
I. G. Petrovski
Dover Publications, Inc., New York, 1966.

Advanced Engineering Mathematics
D. Zill, M. Cullen
Jones and Bartlett Publishers, 1999.
Time Schedule Fall Semester 2014
Faculty/Resource Person Professor Faiz Ahmad
PhD, Mathematics (Manchester, UK)

Discipline: Differential Equations