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
• 10.5 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