![Collegedunia Team logo](https://images.collegedunia.com/public/image/09-Mar_10:52_collegedunia team.jpeg?h=35&w=35&mode=stretch)
Content Curator | Updated On - Jul 15, 2024
CBSE Class 12 Mathematics notes as per the latest CBSE Class 12 syllabus has been provided in this article. Students can make use of these CBSE Class 12 notes which consists of chapterwise handwritten notes, NCERT Solutions PDFs, example problems, important formulas and equations for their CBSE Class 12 Board exam preparation.
CBSE Class 12 Mathematics Notes & Syllabus
CBSE Class 12 Maths syllabus consists of 13 chapters classified under 6 units. The new CBSE Class 12 Mathematics syllabus for the AY 2022-23 is tabulated below.
Unit. No | Unit | Chapters | Marks |
---|---|---|---|
I | Relations and Functions | 08 | |
II | Algebra | 10 | |
III | Calculus | 35 | |
IV | Vectors and Three Dimensional Geometry | 14 | |
V | Linear Programming | 05 | |
VI | Probability | 08 | |
Internal Assessment | 20 | ||
Total | 100 |
Chapter 1: Relation and Function
This chapter mainly deals with the various binary functions, for examples- binary addition, binary subtraction, binary division, Onto Function etc. Important topics covered in Relation and Function chapter include-
- Types of Relations
- Types of Functions
- Binary Operations
- Ordered Pairs
- Period Of A Function
- Composition of Functions and Invertible Function
Expected no. of questions: 2 to 4 questions of 4 to 8 marks
Also Read,
Chapter 2: Inverse Trigonometric Functions
Though the students are introduced to the concept of Trigonometry before, this chapter deals with an in depth study related to it. It includes- Graphs of Inverse Trigonometric Functions, Inverse Tan, etc. Important topics covered in this chapter are-
- Sine function
- Cosine Function
- Tangent Function
- Secant Function
- Cotangent Function
- Cosecant Function
- Properties of Inverse Trigonometric Functions
Expected no. of questions: 2 to 4 questions of 4 to 8 marks
Also Read,
Chapter 3: Matrices
In this chapter the detailed idea related to Matrix is explained along with the related topics like- Diagonal matrix, Scalar matrix, Identity matrix, Column Matrix, Row Matrix. Important topics covered in this chapter are-
- Types of Matrices
- Operations in Matrices
- Transpose of a Matrix
- Symmetric and Skew Symmetric Matrices
- Invertible Matrices
Expected no. of questions: 2 to 5 questions of 5 to 10 marks
Also Read,
Chapter 4: Determinants
This chapter deals with the core concepts of Determinants and the other important mathematical theories as well. For example- Applications of Determinants and Matrices, Area of a Triangle, Non Singular Matrix, Important topics covered in Determinants chapter are-
- Properties of Determinants
- Minors and Cofactors
- Determinant of a Matrix
- Determinant Formula
- Jacobian Method
- Consistent system
Expected no. of questions: 2 to 5 questions of 5 to 10 marks
Also Read,
Chapter 5: Continuity and Differentiability
In this chapter the ideas of Continuity and Differentiability and the relation between them. This chapter includes- Logarithmic Differentiation, Continuous Function, Second Order Derivative. Important topics covered in this chapter are-
Expected no. of questions: 2 to 8 questions of 8 to 17 marks
Also Read,
Chapter 6: Application of Derivatives
Though the students are introduced to the concept of Derivatives before, this chapter will help them to understand the applications related to this idea in details, along with the other related topics like- interpolation formula, lagrange interpolation formula, linear approximation formula. Important topics covered in this chapter are-
Expected no. of questions: 2 to 8 questions of 8 to 17 marks
Also Read,
Chapter 7: Integrals
This chapter is all about the concept Integrals and various functions related to it. It also includes- Methods of Integration, Integration by Partial Fractions, Integration by Parts, Definite Integral. Important topics covered in This chapter is Chapter are:
- Double Integral
- Continuous Integration
- Properties of Definite Integral
- Line Integral
- Integrals of Particular Function
Expected no. of questions: 2 to 8 questions of 6 to 18 marks
Also Read,
Chapter 8: Application of Integrals
This chapter can be considered as an extensive study related to the previous chapter, along with Definite Integral Formula and trapezoidal rule formula. Important topics covered in this Chapter are-
Expected no. of questions: 2 to 8 questions of 6 to 18 marks
Also Read,
Other Related Articles From this Chapter | ||
---|---|---|
Properties Of Definite Integral | NCERT Solutions for Class 12 Maths Chapter 8- Application of Integrals | Application of Integrals Handwritten Notes |
Chapter 9: Differential Equation
This chapter deals with the concept of Differential Equation. In this chapter other related topics like- Differential Equations Applications, First Order Differential Equation are also discussed. Important topics covered in this chapter are-
- First order linear differential equations
- Partial differential equations
- Ordinary differential equations
- Homogeneous differential equations
- Difference Between Parametric And Nonparametric
Expected no. of questions: 2 to 8 questions of 6 to 18 marks
Also Read,
Chapter 10: Vector Equation
This chapter can be considered as an introductory chapter to the concept- Vector. It also incudes some important topics like Position Vector, Direction Cosines, Unit Vector, Equal Vector. Important topics covered in this chapter are-
Expected no. of questions: 2 to 7 questions of 7 to 14 marks
Also Read,
Chapter 11: Three Dimensional Geometry
Through this chapter the basic ideas of dimentional geometry are exzplained here along with, Angle Between Two Vectors, section formula 3 dimension etc. Important topics covered in this chapter are-
- Angle between two lines
- Plane
- Angle between line and plane
- Angle between two vectors
- Coplanarity
- Three dimensional geometry Handwritten Notes
Expected no. of questions: 2 to 7 questions of 7 to 14 marks
Also Read, NCERT Solutions for Class 12 Maths Chapter 11- Three Dimensional Geometry
Chapter 12: Linear Programming
This chapter includes the basic studies of linear programming. Important topics covered in Linear Programming Chapter are-
Expected no. of questions: 1 to 3 questions of 5 marks
Also Read, NCERT Solutions for Class 12 Maths Chapter 12- Linear Programming
Chapter 13: Probability
In this chapter an extensive study of Probability, along with other important topics like- Bias, Bayes Theorem Formula, Conditional Probability Formula, difference between mutually exclusive and independent events. Important topics covered in Probability Chapter are-
Expected no. of questions: 2 to 4 questions of 2 to 5 marks
Also Read,
Popular Reference books & Additional Resources
Students can also make use of these additional resources for Class 12 Mathematics Notes where all the important numericals, formulas, equations and handwritten notes are available.
Also Check,
CBSE Class 12 Mathematics Notes FAQ
Ques. What are the units covered in the CBSE Class 12 Mathematics syllabus?
Ans. The units covered in the CBSE Class 12 Mathematics syllabus are Relations and Functions, Algebra, Calculus, Vectors and Three Dimensional Geometry, Linear Programming, and Probability.The CBSE Class 12 Mathematics syllabus consists of 13 chapters classified under the six units mentioned earlier.
Ques. What are the key topics covered in the Relations and Functions chapter?
Ans. The key topics covered in the Relations and Functions chapter include Types of Relations, Types of Functions, Binary Operations, Ordered Pairs, Composition of Functions, and Invertible Function.
Ques. What are the types of matrices discussed in the Matrices chapter?
Ans. The types of matrices discussed in the Matrices chapter include Diagonal matrix, Scalar matrix, Identity matrix, Column Matrix, and Row Matrix.
Ques. How many marks are allocated to the Internal Assessment in CBSE Class 12 Mathematics?
Ans. The Internal Assessment in CBSE Class 12 Mathematics carries a total of 20 marks.
Ques. How many questions can be expected from the Continuity and Differentiability chapter?
Ans. According to CBSE Mathematics Previous Year Paper Analysis 2 to 8 questions ranging from 8 to 17 marks can be expected from the Continuity and Differentiability chapter.
*The article might have information for the previous academic years, which will be updated soon subject to the notification issued by the University/College.
Comments