MA102 Differential Equations Syllabus S2

 MA102 Differential Equations Syllabus S2 KTU B-tech 

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.
  





       
                                                         

                                                             




COURSE NO.

COURSE NAME
L-T-P-
CREDITS
YEAR OF INTRODUCTION
MA102
DIFFERENTIAL EQUATIONS
3-1-0-4
2015
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

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

REFERENCES:

1.      Simmons: Differential Equation with Applications and its historical Notes,2e McGrawHill Education India 2002 
2.      Datta, Mathematical Methods for Science and Engineering. CengageLearing,1st. ed
3.      B. S. Grewal. Higher Engineering Mathematics, Khanna Publishers, New Delhi.
4.      N. P. Bali, Manish Goyal. Engineering Mathematics, Lakshmy Publications
5.      D. W. Jordan, P Smith. Mathematical Techniques, Oxford University Press, 4th Edition. 
6.      C. Henry Edwards, David. E. Penney. Differential Equations and Boundary Value Problems. Computing and  Modelling, 3rd ed. Pearson



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