Maths Home Tutor for Class 12

Overview
Maths has an important role to play to shape your career. And when you start studying this subject, you might face a few doubts. The role of Maths home tutors comes here who help you to resolve all your doubts by following innovative strategies. Let our experienced home tutors help you attain your maximum output and stand out among students by understanding the concepts and scoring better. Take the Maths for Class 12th Course today.

Relations and Functions

  • Types of relations: Reflexive, symmetric, transitive and equivalence relations
  • Binomial theorem
  • Inverse Trigonometric Functions
  • Definition, range, domain, principal value branches
  • Graphs of inverse trigonometric functions
  • Elementary properties of inverse trigonometric functions
Algebra

  • Matrices: Concept, notation, order, equality, types of matrices, zero matrix, transpose of a matrix, symmetric and skew symmetric matrices
  • Addition multiplication & properties of matrices
  • Determinants, properties of determinants, minors, cofactors and applications of determinants in finding the area of a triangle
  • Adjoint and inverse of a square matrix
  • Consistency, inconsistency and number of solutions of system of linear equations by examples
  • Solving system of linear equations in two or three variables using inverse of a matrix
Calculus

  • Continuity and Differentiability
  • Derivative of composite functions, chain rule, derivatives of inverse trigonometric functions, derivative of implicit function
  • Concepts of exponential, logarithmic functions
  • Integrals, definite integrals as a limit of a sum
  • Fundamental Theorem of Calculus (without proof)
  • Applications in finding the area under simple curves, especially lines, arcs of circles/parabolas/ellipses
  • Differential Equations
  • Definition, order and degree, general and particular solutions of a differential equation
  • Formation of differential equation whose general solution is given
Vectors and three-dimensional geometry

  • Vectors and scalars
  • Magnitude and direction of a vector
  • Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point
  • Three-dimensional Geometry
  • Linear Programming
Probability

  • Multiplications theorem on probability. Conditional probability, independent events, total probability
  • Baye’s theorem
  • Random variable and its probability distribution, mean and variance of haphazard variable
  • Repeated independent (Bernoulli) trials and Binomial distribution
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