CBSE: Check CBSE Syllabus 2021-22 for Class 12th 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 Chapeters): Download PDF
CBSE class 12 Syllabus 2021-22 (New) : Term 1 & 2 (Combined) All Subject - Science, Commerce, Arts
9th, 10th, 11th, 12th: New Revised CBSE Syllabus 2021-22 , Term 1 & 2 (Combined)
Term 1: CBSE Class 12 Maths Syllabus 2021-22.
S. N. Units. Marks
1. Relations and Functions. 08
2. Allgebra. 10
3. Calculus. 17
5. Linear Programming. 05
Total. 40
Internal Assessment. 10
Grand Total. 50
Unit -l: Relations and Functions
1. Relations and Functions
Types of relations: reflexive, symmetric,
transitive and equivalence relations. One to one and onto
functions.
2. Inverse Trigonometric Functions
Definition, range, domain, principal value branch
Unit -ll: Algebra
1.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, lnvertible matrices; (Here all matrices will have real entries).
2. Determinants
Determinant of a square matrix (up to 3 * 3 matrices), minors, co - factors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square martrix. Solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix.
Unit -lll :- Calculus
1. 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 ex
Potential functions. Logarithmic diffe
retention, derivative of functions
expressed in parametric froms.
Second order derivatives.
2.Application of Derivative
Applications of derivative :
Increasing /decresnig functions, tan
gents and normal, maxima and minima
(first derivative tast motivated geometri
Cally and second derivative tast given as
a provable tool). Simple problems (that
Illustrate basic principles and under
Standing of the subject as well as real life situations).
Unit -V: Linear Programming
1. Linear programming
Intoduction, related terminology such as
Constaints, 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 there non -trivial construction ).
INTERNAL ASSESSMENT: 10 MARKS
Periodic Test: 5 Marks
Mathmetics Activities: Activity file record + Term end assessment of one activity &Viva.
5 Marks
Note :- For activities NCERT lab Manual may be reffered.
Assesssment of Activity Work :-
In First term any 4 activities and in second term any 4 activities shall be performed by the student form the actovities given in the NCERT laboratory Manual for the respective class (Xl or XII) which is available on that.
This record of the same may be kept by the students A Term end test on the activity is to be conducted.
The weightage are as under :-
• The activities performed bt the student in each term and record keeping : 3 marks
• Assessment of the activity performed during the term end test and Viva-Voca : 2 marks
For more detail always visite official Website on CBSE OR NCERT and find be complete datail there
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