Symbolic Logic
Sets
Relations
Functions
Countable and Uncountable Sets
Binary Operation
Permutation and Combinations
Matrices
Geometric Properties of Linear Transformation
Calculus – Differentiation
Successive Differentiation – nth Derivates
Leibnitz Theorem
Partial Differentiation
Application of Differential Calculus
Curvature and Radius of Curvature
Envelope
Integration
Reduction Formula
Definite Integral
Integration as Limit of Summation
Area Under Plane Curves
Volume of Solid Revolution
Length of an Arc
Surface Area
Co-ordinate Geometry – Straight Line
Pair of Straight Lines
Circle and System of Circles
Conics : Parabola, Ellipse, Hyperbola, Polar Equations
Plane
Straight Line
Sphere
Cone
Cylinder
Lattices
Boolean Algebra
The Pigeon hole principle
Semi Groups and Monoids
Groups
(A) Subgroups
(B) Isomorphism and Homomorphism
(C) Cosets and Normal Subgroups
(A) First order and First Degree – Equations of Bernoulli
(B) Differential Equations of First Order and Higher Degree
Second Order Differential Equations with constant Co-efficients
Linear Homogeneous Equation
Fourier Series
Fourier Transform
Book Author
P.R. Vittal
Publisher
Margham Publications
Language
English
For B.Sc., B.A., M.B.A., I.A.S. & Other Competitive Examinations.
Year Published
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