# SN Dey Math Solution Class 12 | সৌরেন্দ্রনাথ দে গণিত সমাধান ক্লাস ১২ (দ্বাদশ শ্রেণি) | উচ্চমাধ্যমিক গণিত সমাধান |Chaya Math Book Solution Class 12

## Syllabus for Class XII WBJEE :

Algebra :

Matrices : Concepts of m x n (m ≤ 3, n ≤ 3) real matrices, operations of addition, scalar multiplication and multiplication of matrices. Transpose of a matrix. Determinant of a square matrix. Properties of determinants (statement only). Minor, cofactor and adjoint of a matrix. Nonsingular matrix. Inverse of a matrix. Finding area of a triangle. Solutions of system of linear equations. (Not more than 3 variables).

Statistics and Probability : Addition and multiplication rules of probability, conditional probability and Bayes’ Theorem, independence of events, repeated independent trails and Binomial distribution.

Trigonometry : Inverse trigonometric functions and their properties.

##### Coordinate geometry :

Coordinate geometry of three dimensions : Equation of a straight line, equation of a plane, distance of a point from a plane.

Calculus :

Differential calculus : Functions, composition of two functions and inverse of a function, limit, continuity, derivative, chain rule, derivative of implicit functions and functions defined parametrically.

Rolle’s Theorem and Lagrange’s Mean Value theorem (statement only). Their geometric interpretation and elementary application. L’Hospital’s rule (statement only) and applications. Second order derivative.

Integral calculus : Integration as a reverse process of differentiation, indefinite integral of standard functions.

Integration by parts : Integration by substitution and partial fraction. Definite integral as a limit of a sum with equal subdivisions. Fundamental theorem of integral calculus and its applications. Properties of definite integrals.

Differential Equations : Formation of ordinary differential equations, solution of homogeneous differential equations, separation of variables method, linear first order differential equations. Application of Calculus: Tangents and normals, conditions of tangency. Determination of monotonicity, maxima and minima . Differential coefficient as a measure of rate. Motion in a straight line with constant acceleration. Geometric interpretation of definite integral as area, calculation of area bounded by elementary curves and Straight lines. Area of the region included between two elementary curves.

Vectors : Addition of vectors, scalar multiplication, dot and cross products, scalar triple product.