EM211: Ordinary Differential Equations

To introduce analytical solving techniques of linear ordinary differential equations.

NO. OF CREDITS: 2
COMPULSORY/OPTIONAL: COMPULSORY
PREREQUISITES: NONE

MAIN TOPICS AND INTENDED LEARNING OUTCOMES

TOPICS

Introduction to Differential Equations as a mathematical model and classification.

First order ordinary Equations

Higher order ordinary linear equations with constant coefficients

Linear Systems

Laplace Transforms

Solving ordinary differential equations and linear systems, convolution.

Student will be able to,

ILO1: Identify and derive the mathematical models of many physical problems as differential equations.

ILO2: Solve first order separable, linear and exact differential equations and reducible forms.

ILO3: Solve higher order linear ordinary differential equations analytically using D-operators,method of undetermined coefficients and Laplace transformations and analyze the solution of such second order equations.

ILO4: Apply matrix methods and Laplace transform in solving systems of linear systems of ordinary differential equations.

NO	RECOMMENDED TEXT
1	R.K. Nagle, E.W. Saff, A.D. Snider, Fundamentals of Differential Equations, 8th edition, Pearson Education, 2012
2	E. Kreyszig, Advanced Engineering Mathematics, 9th edition, John Wiley &sons Inc., 2006
3	Philip Franklin,Differential Equations for Engineers, 5th edition, Dover Publications, 1980

TIME ALLOCATION	HOURS
Lectures	24
Tutorials	4
Assignments/Mini Project	4
Laboratories	0

ASSESMENT	PERCENTAGE
Tutorials	10
Laboratory Work	-
MID Semester Evaluation	30
END Semester Exam	60