# Engineering Maths Class.

## Unit-1

• Differential Calculus Representation of functions
• Limit of a function
• Continuity
• Derivatives
• Differentiation rules
• Maxima and Minima of functions of one variable.

## Unit-II

• Functions of Several Variables.
• Partial Differentiation .
• Homogeneous functions and Euler’s Theorem .
• Total derivative .
• Change of Variables .
• Jacobians.
• Partial differentiation of implicit functions.
• Taylor’s series for functions of two variables .
• Maxima and minima of functions of two variables .
• Lagrange’s method of undetermined multipliers.

## Unit-III Integral Calculus :-

• Definite and Indefinite Integrals
• Substitution rule
• Techniques of Integration
• Integration by parts.
• Trigonometric Integrals
• Trigonometric substitutions.
• Integration of rational functions by partial fraction.
• Integration of irrational functions.
• Improper integrals.

## Unit IV Multiple Integrals.

• Double integrals
• Change of order of integration
• Double integrals in polar coordinates.
• Area enclosed by plane curves .
• Triple integrals .
• Volume of solids
• Change of variables in double and triple integrals.

## Unit V Differential Equations

• Higher order linear differential equations with constant coefficients
• Method of variation of parameters.
• Homogenous equation of Euler’s and Legendre’s type.
• System of simultaneous linear differential equations with constant coefficients.
• Method of undetermined coefficients.

Call us on : 9942556243,8870812151.

Call Us For More....