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Maths Class 12 Syllabus 2021-22
The CBSE class 12 maths syllabus 2021-22 has modified and underwent through changes from time to time as per the demand of situation arises, with holistic growth of the subject and integrated needs of the society. Senior Secondary stage is a foundation stage where students decide their path in various direction and lead towards a better profession that will enhance the society.
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Class 12 Maths Syllabus
Mathematics, According to Reuben is a science that study numbers, shapes and logical interpretation of the practical situations. C.B.S.E. provides very vast and comprehensive syllabus that deals with various areas and concept to adapt logical interpretation of real situation and creates a strategic base for higher studies in various field like Mathematics and other courses i.e. Engineering, Physical and Biological science, Commerce or Computer Applications.
Class 12 Maths Syllabus 2021-22 Pdf Download For Term 1 & Term 2
As we know to deal with the current scenario, C.B.S.E revised the syllabus as per the National Curriculum Framework 2005 and guidelines of Teaching Mathematics 2005 fulfill the emerging needs of the dynamic society and students.
Class 12 Maths Syllabus: Term 1 & 2 Unit wise Overview
CBSE class 12th Mathematics syllabus 2021-22 provides an overall overview of the units and the chapters covered within each unit. Here, we will provide the complete information about the revised and updated syllabus along with marking scheme as per C.B.S.E. guideline . The complete performa given here gives students a brief about them, over how to strategise and plan to get an edge over the subjects as per mark distribution.
The revised syllabus of mathematics subject of class 12th involves various topics and concepts that prepares students for better future with clear base of the subject, so that they can solve the problems and get logical interpretation. The class 12th mathematics syllabus deals with various topics that integrates with other branches of science like Physics, Chemistry and Biology.
One Paper:180 Minutes Max Marks: 80
S.no | CBSE Class 12 Syllabus: Unit-wise Marks Distribution | |
Units | Marks | |
1. | Relation and Function | 8 |
2. | Algebra | 10 |
3. | Calculus | 35 |
4. | Vectors and 3D Geometry | 14 |
5. | Linear Programming | 5 |
6 | Probability | 8 |
Total | 80 | |
Internal Assessment | 20 |
Total 100
Out of the 100 marks, 80 marks are covered by these units and the remaining 20 marks are covered by the internal assessment which are undertaken by the Periodic test, Mathematics assignments.
Internal Assessment: Throughout the year-irrespective of Term 1 & 2 would include the two Periodic Test and 2 Mathematics Activities that constitutes Activity file record add Term end assessment of one activity & Viva with Lab manual as per CBSE Guidelines.
Term 1 Class 12 Maths Syllabus 2021-22
Course Structure
TERM- I
One paper Max. marks
90 min 40
S.no | CBSE Class 12 Syllabus: Unit-wise Marks Distribution | |
Units | Marks | |
1. | Relation and Function | 8 |
2. | Algebra | 10 |
3. | Calculus | 17 |
4. | Linear Probability | 5 |
Total | 40 | |
Internal Assessment | 10 |
Total 50
Unit-I: Relations and Functions
- Relations and Functions
Types of relations: reflexive, symmetric, transitive and equivalence relations. One to one and onto functions.
- Inverse Trigonometric Functions
Definition, range, domain, principal value branch.
Unit-II: Algebra
- Matrices
Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix, symmetric and skew symmetric matrices. Operation on matrices: Addition and multiplication and multiplication with a scalar. Simple properties of addition, multiplication and scalar multiplication. Noncommutativity of multiplication of matrices, Invertible matrices; (Here all matrices will have real entries).
- Determinants
Determinant of a square matrix (up to 3 x 3 matrices), minors, co-factors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix.
Unit-III: Calculus
- Continuity and Differentiability
Continuity and differentiability, derivative of composite functions, chain rule, derivative of inverse trigonometric functions, derivative of implicit functions. Concept of exponential and logarithmic functions. Derivatives of logarithmic and exponential functions. Logarithmic differentiation, derivative of functions expressed in parametric forms. Second order derivatives.
- Applications of Derivatives
Applications of derivatives: increasing/decreasing functions, tangents and normals, maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool). Simple problems (that illustrate basic principles and understanding of the subject as well as reallife situations).
Unit-V: Linear Programming
- Linear Programming
Introduction, related terminology such as constraints, objective function, optimization, different types of linear programming (L.P.) problems. Graphical method of solution for problems in two variables, feasible and infeasible regions (bounded), feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints).
INTERNAL ASSESSMENT 10 MARKS Periodic Test 5 Marks Mathematics Activities:
Activity file record +Term end assessment of one activity & Viva 5 Marks
Term 2 Class 12 Maths Syllabus 2021-22
Course Structure
TERM- II
One paper Max. marks
90 min 40
S.no | CBSE Class 12 Syllabus: Unit-wise Marks Distribution | |
Units | Marks | |
3. | Calculus | 18 |
4. | Vector and 3D Geometry | 11 |
6. | Probability | 9 |
Total | 40 | |
Internal Assessment | 10 |
Total 50
Unit-III: Calculus
- Integrals
Integration as inverse process of differentiation. Integration of a variety of functions by substitution, by partial fractions and by parts, Evaluation of simple integrals of the following types and problems based on them.
Fundamental Theorem of Calculus (without proof).Basic properties of definite integrals and evaluation of definite integrals.
- Applications of the Integrals
Applications in finding the area under simple curves, especially lines, parabolas; area of circles /ellipses (in standard form only) (the region should be clearly identifiable).
- Differential Equations
Definition, order and degree, general and particular solutions of a differential equation. Solution of differential equations by method of separation of variables, solutions of homogeneous differential equations of first order and first degree of the type:
𝑑𝑦/ 𝑑𝑥 = 𝑓(y/x). Solutions of linear differential equation of the type: dy dx + py = q, where p and q are functions of x or constant.
Unit-IV: Vectors and Three-Dimensional Geometry
- Vectors
Vectors and scalars, magnitude and direction of a vector. Direction cosines and direction ratios of a vector. Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio. Definition, Geometrical Interpretation, properties and application of scalar (dot) product of vectors, vector (cross) product of vectors.
- Three – dimensional Geometry
Direction cosines and direction ratios of a line joining two points. Cartesian equation and vector equation of a line, coplanar and skew lines, shortest distance between two lines. Cartesian and vector equation of a plane. Distance of a point from a plane.
Unit-VI: Probability
- Probability
Conditional probability, multiplication theorem on probability, independent events, total probability, Bayes’ theorem, Random variable and its probability distribution.
CBSE Class 12 Maths Syllabus 2021-22: Internal Assessment
INTERNAL ASSESSMENT 10 MARKS Periodic Test 5 Marks Mathematics Activities:
Activity file record +Term end assessment of one activity & Viva 5 Marks
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CBSE Class 12 Maths Syllabus 2021-22 for Term 1 & 2: FAQs
What topics are covered under different units of Maths class 12^{th}?
The topics covered in Mathematics are Relation and Functions, Vectors and 3D geometry, Calculus, Algebra, Linear Programming and Probability.
How to prepare CBSE Class 12 syllabus?
Finish off the syllabus as soon as possible as the syllabus is very vast and extensive. After the chapter is finished, try to solve the questions from in between the chapters as well. Solve the sample papers as much as you can.
How are the marks distributed according to the syllabus in class 12 Mathematics?
From a total of 100 marks, 80 marks are for the written examination while 20 marks are carried by the internal assessment. The marks distribution for the written examination is as follows – (1) Unit I – 8 marks, (2) Unit II – 10 marks, (3) Unit III – 35 marks, (4) Unit IV – 14 marks, (5) Unit V – 5 marks, (6) Unit VI – 8 marks.
How many units are there in class 12 Mathematics ?
NCERT mathematics textbook for class 12 consists of total 6 units.
How can I score 100 Mathematics in CBSE Class 12?
You can score full marks in Math by doing practice daily and follow the strategy as per the revised syllabus of mathematics and for more information and details visit Adda247.