## 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).

### 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
• 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.