**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

- Teacher: Anoop T