102 ENGINEERING MATHEMATICSI


Units 
Contents of the subjects 
I
 Differential Calculus:Asymptotes(Cartesian Coordinates Only), Curvature(Cartesian Coordinates
Only), Concavity, Convexity and Point of Inflexion (Cartesian Coordinates Only), Curve Tracing
(Cartesian and Standard Polar CurvesCardioids, Lemniscates of Bernoulli, Limacon,
Equiangular Spiral).

II 
Differential Calculus: Partial Differentiation, Euler's Theorem on Homogeneous Functions,
Approximate Calculations, Maxima & Minima of Two and More Independent Variables,
Lagrange's Method of Multipliers.

III 
Integral Calculus: Surface and Volumes of Solids of Revolution, Double Integral, Double
Integral by changing into polar form , Areas & Volumes by Double Integration ,Change of Order
of Integration, Beta Function and Gamma Function (Simple Properties).

IV 
Differential Equations: Differential Equations of First Order and First Degree  Linear Form,
Reducible to Linear form, Exact Form, Reducible to Exact Form, Linear Differential Equations
of Higher Order with Constant Coefficients Only.

V 
Differential Equations: Second Order Ordinary Differential Equations with Variables
Coefficients, Homogeneous and Exact Forms, Change of Dependent Variable, Change of
Independent Variable, Method of Variation of Parameters.
