Lecturer Recruitment Test Mathematics(English, Paperback, ?????? ???? : ??????????? ?????)

Lecturer Recruitment Test Mathematics(English, Paperback, ?????? ???? : ??????????? ?????)

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Book Details
Publication Year 2012
Exam JEE Main & Advanced
Table of Contents

Previous Year’s Paper Fully Solved

Algebra

1. Theory of Equations and Symmetric Functions of the Roots
2. Progressions (A.P., G.P. and H.P.)
3. Exponential and Logarithmic Series
4. Permutations and Combinations
5. Binomial Theorem
6. Matrices and Determinants
7. Sets and Set Theory
8. Relations and Functions
9. Number Theory
10. Group
11. Linear Algebra
12. Probability

Geometry

Section–I : Analytical Plane Geometry
1. Pair of Straight Lines
2. The Circle
3. The Parabola
4. The Ellipse
5. The Hyperbola
6. Polar Equations

Section–II : Analytical Solid Geometry
7. Fundamental Concept of 3D
8. The Plane
9. The Straight Line
10. The Sphere
11. The Cone
12. The Cylinder

Trigonometry

Trigonometrical Ratios and Identities
Trigonometrical Equations
Properties of Triangles
Height and Distances
Inverse Circular Function
Hyperbolic Functions
Complex Number and DeMoivre’s Theorem
Miscellaneous Exercise

Calculus

Section–I : Differential Calculus
1. Function
2. Limit, Continuity and Differentiability
3. Rolle’s Theorem, Mean Value Theorem, Taylor’s Theorem
4. Tangents and Normals
5. Maxima and Minima
6. Curvature
7. Asymptotes
8. Curve Tracing
9. Partial Differentiation
Miscellaneous Exercise

Section–II : Integral Calculus
10. Indefinite Integrals
11. Definite Integrals
12. Rectification, Quadrature, Volume and Surfaces
13. Multiple Integration

Differential Equations

  • Definition
  • Differential Equations of First Order and First Degree
  • Differential Equation of First Order but not of First Degree
  • Equation Solvable for p, x and y
  • Clairaut’s Equation
  • Geometrical Meaning of a Differential Equation of the First Order
  • Singular Solution
  • Determination of a Singular Solution
  • Trajectory
  • Orthogonal Trajectory
  • Linear Differential Equation with Constant Coefficient
  • Solution of the Differential Equation
  • Particular Integral (P.I.)
  • Methods of Finding Particular Integral

Vector Algebra

Vector Analysis

  • Scalar and Vector Quantities
  • Unit Vector
  • Equal Vector
  • Position Vector
  • Addition of Vectors
  • Properties of Addition
  • Subtraction of Vectors
  • Multiplication of a Vector by a Scalar
  • Properties of Scalar Multiplication
  • Position Vector of a Point Dividing a Line in a given Ratio
  • Collinear Vectors
  • Linearly Independent and Dependent System of Vectors
  • Coplanar Vectors
  • Vectorial Equation of a Line
  • Bisectors of the Angles between Two Straight Lines
  • Condition for Three Points to be Collinear
  • Vectorial Equation of a Plane
  • Condition for Four Points to be Coplanar
  • Scalar or Dot Product with their Properties
  • Vector or Cross Product of Two Vectors
  • Properties of Vector Product
  • Scalar Triple Product with Properties
  • Vector Triple Product with their Properties
  • Scalar and Vector Product of Four Vectors
  • Perpendicular Distance of a given Point from a Line
  • Reciprocal System of Vectors

Dynamics

1. Velocity, Acceleration and Rectilinear Motion
2. Motion under Gravity
3. Projectiles
4. Impulse, Work, Power and Energy
5. Collision of Elastic Bodies
6. D’ Alemberts Principle (Equation of Motion of a Rigid Body)
7. Moment of Inertia

Statics

1. Equilibrium of Three Forces Acting on a Particle
2. Equilibrium of More than Three Forces Acting on a Particle
3. Equilibrium of Three Forces Acting on by a Rigid Body
4. General Conditions of Equilibrium
5. Centre of Gravity

Contributors
Author ?????? ???? : ??????????? ?????
General
Language English
Binding Paperback
Publisher Neha Publishers & Distributors
ISBN 9789350131268, 9350131269
Edition 2012

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