Chapter 1: Relations and Functions [Video -1 By Sh. DK Singh, KV Barkuhi], [Video-2 By sh. DK Singh, KV Barkuhi[Video shared by Mr. Vivek Vishwakarma, KV Barkuhi]

  • 1.1 Introduction
  • 1.2 Types of Relations
  • 1.3 Types of Functions
  • 1.5 Binary Operations

Chapter 2: Inverse Trigonometric Functions 

  • 2.3 Properties of Inverse Trigonometric Functions

Chapter 3: Matrices

Chapter 4: Determinants

      • 4.1 Introduction
      • 4.2 Determinant
      • 4.3 Properties of Determinants
      • 4.4 Area of a Triangle
      • 4.5 Minors and Cofactors
      • 4.6 Adjoint and Inverse of a Matrix
      • 4.7 Applications of Determinants and Matrices

Chapter 5: Continuity and Differentiability

      • 5.1 Introduction to Continuity and Differentiability
      • 5.2 Exponential and Logarithmic Functions
      • 5.3 Logarithmic Differentiation
      • 5.4 Derivatives of Functions in Parametric Forms
      • 5.5 Second Order Derivative
      • 5.6 Mean Value Theorem

Chapter 6: Applications of Derivatives

      • 6.1 Introduction
      • 6.2 Rate of Change of Quantities
      • 6.3 Increasing and Decreasing Functions
      • 6.4 Tangents and Normals
      • 6.5 Approximations
      • 6.6 Maxima and Minima

Chapter 7: Integrals

      • 7.1 Introduction to Integral Calculus
      • 7.2 Integration as an Inverse Process of Differentiation
      • 7.3 Methods of Integration
      • 7.4 Integrals of Some Particular Functions
      • 7.5 Integration by Partial Fractions
      • 7.6 Integration by Parts
      • 7.7 Definite Integral
      • 7.8 Fundamental Theorem of Calculus
      • 7.9 Evolution of Definite Integrals by Substitution
      • 7.10 Some Properties of Definite Integrals

Chapter 8: Application of Integrals

      • 8.1 Introduction
      • 8.2 Area under Simple Curves
      • 8.3 Area Between Two Curves

Chapter 9: Differential Equations

      • 9.1 Introduction to Differential Equations
      • 9.2 Basic Concepts
      • 9.3 General and Particular Solutions of a Differential Equation
      • 9.4 Formation of a Differential Equation whose General Solution is given
      • 9.5 Methods of Solving First Order, First Degree Differential Equations

Chapter 10: Vector Algebra

      • 10.1 Introduction to Vectors
      • 10.2 Some Basic Concepts
      • 10.3 Types of Vectors
      • 10.4 Addition of Vectors
      • 10.5 Multiplication of a Vector by a Scalar
      • 10.6 Product of Two Vectors

Chapter 11: Three Dimensional Geometry

      • 11.1 Introduction
      • 11.2 Direction Cosines and Direction Ratios of a Line
      • 11.3 Equation of a Line in Space
      • 11.4 Angle between Two Lines
      • 11.5 Short Distance between Two Lines
      • 11.6 Plane
      • 11.7 Coplanarity of Two Lines
      • 11.8 Angle between Two Planes
      • 11.9 Distance of a Point from a Plane
      • 11.10 Angle between a Line and a Plane

Chapter 12: Linear Programming

      • 12.1 Introduction to Linear Programmin
      • 12.2 Linear Programming Problem and its Mathematical Formulation
      • 12.3 Different Types of Linear Programming Problems

Chapter 13: Probability

    • 13.1 Probability Introduction
    • 13.2 Conditional Probability
    • 13.3 Multiplication Theorem on Probability
    • 13.4 Independent Events
    • 13.5 Bayes’ Theorem
    • 13.6 Random Variables and its Probability Distributions
    • 13.7 Bernoulli Trials and Binomial Distribution