Pre-requisites: Calculus
COURSE OBJECTIVES:
To introduce solution of ordinary differential equations.
ESSENTIAL TOPICS TO BE COVERED:
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- Physical concept of differential equations
- Solution of first and second order differential equations
- Partial differential equations
COURSE DESCRIPTION:
Introduction to Differential Equations, ODE of First order and first degree, ODEs of second and higher orders. Complementary function and particular integral, Non-homogeneous linear differential equations. Systems of linear differential equations. Partial differentiation; functions of two or more variables; partial derivatives; higher order partial derivatives; total differentials and their applications to small errors; differentiation of implicit functions; chain rule, maxima and minima of a function of two variables, examples illustrating application to computer engineering.
Recommended Text(s):
- E. Kreyszing, Advanced Engineering Mathematics (8th ed)
- Glyn James, Modern Engineering mathematics.
- Differential Equations with boundary value problems, by Zill and Cullun, 3rd ed.
- Mathematical Method by Dr. S. M Yousuf
