NCERT/CBSE Mathematics Courses - Class 12

Here is a list of all the mathematics courses that will be produced from each chapter of the class 12 book. Essentially, the contents of each chapter will be explained in a single course. As mentioned before, we might make slight changes to the list below while creating  the courses, meaning that we might mix two or more chapters as or when necessary or possible but we will not disturb the natural flow of material. 

There are, however, two separate books for class 12: Part 1 and Part 2. In the list below, we will combine both the books: 

Mathematics Class 12 - (Part 1 and 2 Combined)

  1. Relations and Functions 
  2. Inverse Trigonometric Functions
  3. Matrices
  4. Determinants
  5. Continuity and Differentiability
  6. Application of Derivatives
  7. Integrals
  8. Application of Integrals
  9. Differential Equations
  10. Vector Algebra
  11. Three Dimensional Geometry
  12. Linear Programming
  13. probability
  14. Appendix 1 - Proofs in Mathematics
  15. Appendix 2 - Mathematical Modelling

To know more about the contents of each course mentioned above, please click the accordion below (if it's not already expanded).

Please Click to Learn More Details About Each Course

Relations and Functions

  • Types of Relations
  • Types of Functions
  • Composition of Functions and Invertible Functions
  • Binary Operations

Inverse Trigonometric Functions

  • Basic Concepts 
  • Properties of Inverse Trigonometric Functions

Matrices

  • Matrix
  • Types of Matrices
  • Operations on Matrices
  • Transpose of a Matrix
  • Symmetric and Skew Symmetric Matrices
  • Elementary Operations (Transformation) on a Matrix
  • Invertible Matrices

Determinants

  • Determinants
  • Properties of Determinants
  • Area of a Triangle
  • Minors and Cofactors
  • Adjoint and Inverse of a Matrix
  • Applications of Determinants and Matrices

Continuity and Differentiability

  • Continuity
  • Differentiability
  • Exponential and Logarithmic Functions
  • Logarithmic Differentiation
  • Derivatives of Functions in Parametric Forms
  • Second Order Derivative
  • Mean Value Theorem

Applications of Derivatives

  • Rate of Change of Quantities 
  • Increasing and Decreasing Functions
  • Tangents and Normals
  • Approximations
  • Maxima and Minima

Integrals

  • Integration as an Inverse Process of Differentiation
  • Methods of Integration
  • Integrals of Some Particular Functions
  • Integration by Partial Fractions
  • Integration by Parts
  • Definite Integral
  • Fundamental Theorem of Calculus
  • Evaluation of Definite Integrals by Substitution
  • Some Properties of Definite Integrals

Applications of Integrals

  • Area Under Simple Curves
  • Area Between Two Curves

Differential Equations

  • Basic Concepts 
  • General And Particular Solutions of a Differential Equation Whose General Solution is Given
  • Methods of Solving First Order, First Degree Differential Equations

Vector Algebra

  • Some Basic Concepts
  • Types of Vectors
  • Addition of Vectors
  • Multiplication of a Vector by a Scalar
  • Product of Two Vecotors

Three-Dimensional Geometry

  • Direction Cosines and Direction Ratios of a Line
  • Equation of a Line in Space
  • Angle Between Two Lines
  • Shortest Distance Between Two Lines
  • Plane
  • Coplanarity of Two Lines
  • Angle Between Two Planes
  • Distance of a Point from a Plane
  • Angle Between a Line and a Plane

Linear Programming

  • Linear Programming Problem and its Mathematical Formulation
  • different Types of Linear Programming Problems

Probability

  • Conditional Probability
  • Multiplication Theorem on Probability
  • Independent Events
  • Bayes' Theorem
  • Random Variables and its Probability Distributions
  • Bernoulli Trials and Binomial Distribution

Appendix 1 - Proofs in Mathematics

  • What is a Proof

Appendix 2 - Mathematical Modelling

  • Why Mathematical Modelling
  • Principles of Mathematical Modelling

This the end of the road map for class 6 through 12.