Basic HTML Version
Course
Pro-forma
Faculty Course
Code
KXEX2244
Title
Ordinary Differential Equations
Pre-requisite
KXEX1144
Student Learning Time (SLT)
80 hours
Credit
2
Learning Outcomes
1.
Ability to recognize the order and linearity of an ODE and
verifying whether a given function is a solution or not. Find
the solution of first order ODE.
2.
Find the solution of linear second order ODE analytically.
3.
Find the solution of linear second order ODE in series form.
Synopsis
Fundamental concepts and definitions in ODE, Initial value
problem, First order ODE: separable, linear, exact equations and
equations reducible to those forms. Integrating factor. Linear
equation of higher order: Linearly independent solutions,
Wronskian, Lagranges reduction of order, complementary
functions and particular solutions, the method of undetermined
coefficients, the variation of parameters, Euler-Cauchys equation.
Series solution method: power series, convergence, series soluti
Assessment
40 % Continuous Assessments
60 % Final Examination
References
1.
Engineering Mathematics (5th Ed), K Stroud & D Booth,
Palgrave (2001)
2.
Modern Engineering Mathematics (2nd Ed), Glyn James,
Addison-Wesley (1996)
3.
Frank Ayres Jr, Schaum Outline Series: Differential Equations,
McGraw Hill, 1972
Soft Skills
Communication Skills (CS1, CS2)
Critical Thinking and Problem Solving Skills (CT1, CT2, CT3)
Teamwork Skills (TS1)
Life Long Learning and Information Management (LL1)