National University of Sciences and Technology
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MATH-811 Ordinary Differential Equations-I
Campus SNS
Programs PG
Session Fall Semester 2016
Course Title Ordinary Differential Equations-I
Course Code MATH-811
Credit Hours 3-0
Course Objectives Modern technology requires a deeper knowledge of the behavior of real physical phenomena. Mathematical models of real world phenomenon are formulated as algebraic, differential or integral equations (or a combination of them). After the construction of equations the study of their properties is necessary. At this stage the theory of ordinary differential equations plays a significant role.
Detail Content In this course we shall discuss both the questions of existence and uniqueness of solutions of differential equations and the behavior of these solutions with respect of time and other parameters such as coefficients of equation and additional conditions.

It treats, as standard topics of such a course: existence and uniqueness theory, stability theory, and introductory phase-plane analysis of dynamical systems. The last part is a short introduction to first order. partial differential equation theory.
Text/Ref Books Advanced ordinary differential equations (Lecture notes)
School of mathematics, SUT, 1999

Ordinary differential equations
Dover Publications, Inc., 1973

Theory of ordinary differential equations
Coddington E.A. and Levinson.
New York: McGraw-Hill, 1955.
Time Schedule Fall Semester 2014
Faculty/Resource Person Dr. Mujeeb Ur Rehman
PhD, SNS, NUST, Pakistan

Discipline: Differential Equations