ADVANCED
MATHEMATICS - I
S E C O N D E D I T I O N
By Pandurangappa C
INTERLINE PUBLISHING
CONTENTS
Preface to the Second Edition VII
Preface to the First Edition IX
Road Map – Short Notes XI
Geometrical Representation and Polar Form of Complex Numbers
Geometrical
Representation of Algebraic Operation on Complex Number
CHAPTER – 2 DIFFERENTIAL CALCULUS 73
nth derivatives of some Standard Functions
Angle between
the Radius Vector and the Tangent to the Polar Curve
Angle between
two Polar Curves
Polar
Subtangent and Polar Subnormal
Length of the
Perpendicular from the Pole to Tangent
Taylor’s
Theorem for a Function of Single Variable
Euler’s Theorem
of Homogeneous Functions
Total
Differential and Total Derivative
Differentiation
of Implicit Functions
Differentiation
of Composite Functions
CHAPTER – 3 INTEGRAL CALCULUS 220
CHAPTER – 4 DIFFERENTIAL EQUATIONS 308
Order and Degree
of an Ordinary Differential Equation
Equations Of
First Order And Of First Degree
Solutions of
Differential Equation
Equations
Reducible to Separable Form
Equations
Reducible to Homogeneous
Equations
Reducible to Exact Equations
Higher Order
Linear Differential Equations
Inverse
Differential Operator and Particular Integral
Basic Method
of Finding Particular Integral
or 
Particular
Integral when 
is a polynomial
Particular
integral when 
where 
is any function of 
QUESTION PAPERS 455
