CBSE: Check CBSE Syllabus 2021-22 for Class 12 Maths (Term 1) exams. It is applicable for internal assessment and Term 1 exam scheduled for November – December. Students of CBSE Class 12 are advised to learn this syllabus and plan their studies accordingly.
NCERT Exemplar Solutions for Class 12 Maths (All Chapters): Download PDF
CBSE Class 12 Syllabus 2021-22 (New): Term 1 & 2 (Combined) All Subjects - Science, Commerce, Arts
9th, 10th, 11th, 12th: New Revised CBSE Syllabus 2021-22 (PDF) - Term 1 & 2 (Combined)
Term 1: CBSE Class 12 Maths Syllabus 2021-22 (PDF)
| No. |
Units |
Marks |
| I. |
Relations and Functions |
08 |
| II. |
Algebra |
10 |
| III. |
Calculus |
17 |
| V. |
Linear Programming |
05 |
|
|
Total |
40 |
|
|
Internal Assessment |
10 |
|
|
Grand 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 real life 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 |
Note: For activities NCERT Lab Manual may be referred
Assessment of Activity Work:
In first term any 4 activities and in second term any 4 activities shall be performed by the student from the activities given in the NCERT Laboratory Manual for the respective class (XI or XII) which is available on the link: http://www.ncert.nic.in/exemplar/labmanuals.htm
la record of the same may be kept by the student. A term end test on the activity is to be conducted.
The weightage are as under:
⇨ The activities performed by the student in each term and record keeping: 3 marks
⇨ Assessment of the activity performed during the term end test and Viva-voce: 2 marks
Prescribed Books by CBSE For CBSE Academic Session 2021-22:
⇨ Mathematics Part I - Textbook for Class XII, NCERT Publication
⇨ Mathematics Part II - Textbook for Class XII, NCERT Publication
⇨ Mathematics Exemplar Problem for Class XII, Published by NCERT
⇨ Mathematics Lab Manual class XII, published by NCERT
