Mechanical Engineering

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.

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