DIFFRENTIAL EQUATION 6 MODULES IMPORTANT EQUATIONS

DIFFRENTIAL EQUATION 6 MODULES  IMPORTANT EQUATIONS

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About this course:


MA102 DIFFERENTIAL EQUATIONS
 3-1-0-4 2016
Course Objectives:
This course introduces basic ideas of differential equations, both ordinary and partial, which are
widely used in the modelling and analysis of a wide range of physical phenomena and has got
applications across all branches of engineering. The course also introduces Fourier series which is
used by engineers to represent and analyse periodic functions in terms of their frequency
components.

Syllabus:
Homogeneous linear ordinary differential equation, non-homogeneous linear ordinary differential
equations, Fourier series, partial differential equation, one dimensional wave equation, one
dimensional heat equation.
Expected Outcome
At the end of the course students will have acquired basic knowledge of differential equations and
methods of solving them and their use in analysing typical mechanical or electrical systems.
The included set of assignments will familiarise the students with the use of software packages for 
analysing systems modelled by differential equations.

TEXT BOOKS:
 Erwin Kreyszig: Advanced Engineering Mathematics, 10th ed. Wiley
 A C Srivastava, P K Srivasthava, Engineering Mathematics Vol 2. PHI Learning Private
Limited, New Delhi.

REFERENCES:
 Simmons: Differential Equation with Applications and its historical Notes,2e
McGrawHill Education India 2002
 Datta, Mathematical Methods for Science and Engineering. CengageLearing,1st. ed
 B. S. Grewal. Higher Engineering Mathematics, Khanna Publishers, New Delhi.
 N. P. Bali, Manish Goyal. Engineering Mathematics, Lakshmy Publications
 D. W. Jordan, P Smith. Mathematical Techniques, Oxford University Press, 4th
Edition.
 C. Henry Edwards, David. E. Penney. Differential Equations and Boundary Value

Problems. Computing and Modelling, 3rd ed. Pearson

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