 # Uttarakhand Board Class 12 Maths Syllabus 2021-22

Mathematics is an unavoidable subject for students who aim to get into Engineering or any Maths related field. So, here for the students to get an overview of the topics and concepts covered in the class, we have provided the Uttarakhand Board Class 12 Maths Syllabus 2021-22. UBSE Class 12 Maths Syllabus, here is the latest and revised for the year 2021-22.

For last year, the syllabus has been reduced by 30% due to the Covid-19 pandemic, which is being followed this year as well. Hence, in this article, we have provided the revised UBSE Class 12 Syllabus for Maths subject and details of the deleted portions in PDFs given below.

### UBSE Class 12 Mathematics Syllabus 2021-22(deleted portion)

Find here the information for the units and topics covered in the syllabus from the list given below.

• UNIT I. RELATIONS AND FUNCTIONS
• UNIT-II: ALGEBRA
• UNIT-III: CALCULUS
• UNIT-IV: VECTORS AND THREE-DIMENSIONAL GEOMETRY
• UNIT-V: LINEAR PROGRAMMING
• UNIT-VI: PROBABILITY

UNIT I. RELATIONS AND FUNCTIONS

1. Relations and Functions :

Composite functions, inverse of a function.

2. Inverse Trigonometric Functions:

Graphs of inverse trigonometric functions. Elementary properties of inverse

trigonometric functions.

UNIT-II: ALGEBRA

1. Matrices:

Existence of non-zero matrices whose product is the zero matrix. Concept of

elementary row and column operations. Proof of the uniqueness of inverse, if

it exists.

2. Determinants:

Properties of determinants, Consistency, inconsistency and number of

solutions of system of linear equations by examples.

UNIT-III: CALCULUS

1. Continuity and Differentiability:

Rolle’s and Lagrange’s Mean Value Theorems (without proof) and their

geometric interpretations.

2. Applications of Derivatives:

Rate of change, approximation

3. Integrals:

Definite integrals as a limit of a sum

4. Applications of the Integrals:

Area between the two above said curves

5. Differential Equations:

Formation of differential equation whose general solution is given.

UNIT-IV: VECTORS AND THREE-DIMENSIONAL GEOMETRY

1. Three – dimensional Geometry:

Angle between (i) two lines, (ii) two planes. (iii) a line and a plane.

UNIT-V: LINEAR PROGRAMMING

1. Linear Programming: Mathematical formulation of L.P. problems,

UNIT-VI: PROBABILITY

1. Probability:

Mean and variance of haphazard variable. Binomial distribution.

For further information or details regarding the Uttarakhand Board Class 12, students can reach out and register at BYJU’S. Keep tuned for further updates on the State Boards!