Maths

Madhya Pradesh Board - 12th Class

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The academic experts of Madhya Pradesh State Board have designed the Class 12 Maths syllabus to help the students to have a wholesome idea of class 12 Mathematics in depth. Class 12 Mathematics consists of the primary disciplines that work for the other science subjects of higher secondary standard. 12 th Standard Maths Syllabus consists of the most important and crucial chapters helping the students to get a clear understanding of the subject. 12 th standard maths serves a functional role in higher educational courses like Mathematics Honours, Engineering courses, Computer Science, etc. Complete knowledge of the chapters and topics beforehand will enable the students to create an organized study routine and study well.

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MP Class 12th Maths Syllabus

This content will discuss the MP board maths syllabus class 12 in detail:

The Chapter include (Chapter-wise):

Chapter
01
Relations & Functions
Chapter
02
Algebra
Chapter
03
Calculus
Chapter
04
Vectors & 3D Geometry
Chapter
05
Linear Programming
Chapter
06
Probability
Chapter 01 : Relations & Functions
  1. Relations and Functions

    Types of Relations: Symmetric, Reflexive, Transitive and Equivalent. Onto and one to one functions, composite functions, inversion of functions and binary operation.

  2. Inverse Trigonometric Functions

    Definition, domain, range, principles values branches, graphs of inverse trigonometric functions, elementary properties of inverse trigonometric

Chapter 02 : Algebra
  1. Matrices

    Different types of Matrices, notation, zero matrixes, transpose of a matrix, order, existence of non-zero matrices, addition, multiplication and scalar multiplication of matrices. Non-commutativity of multiplication of matrices, concept of Elementary row, column operations and invertible matrices

  2. Determinants

    Inverse and Adjoint of a square matrix (3×3 matrices), Adjoint and Inverse of a square matrix, properties of determinants, minors, cofactors- consistency, inconsistency and number of solutions system of linear equation. Linear equations by examples and oohing system of linear equation with a unique solution using the inverse of a matrix

Chapter 03 : Calculus
  1. Continuity & Differentiabilit

    Derivatives of composite functions, second-order derivatives and logarithmic differentiation, chain ride, derivative of implicit function, Second-order derivatives Rolle’s and Lagrange’s Mean Value Theorems- the geometrical interpretations

  2. Applications of Derivatives

    Normal and Tangents, Simple Problems, Maxima and Minima, Rate of changes, Increasing and decreasing functions

  3. Integrals

    Integration – an inverse process of differentiation, definite integrals, Fundamental Theorem of Calculus, Basic Properties, Evaluation

  4. Applications of the Integrals

    Applications in lines, arcs of circles, parabolas and ellipses, area between two curves

  5. Different Equations

    Definition, Order and degree, solution of differential equations, homogenous differential equations general and particular solutions, solution of different equations, solutions of a linear differential equation

Chapter 04 : Vectors & 3D Geometry
  1. Vectors

    Vectors and scalars, the position of the vector of a point, scalar (dot) product of vectors. Direction ratios of vectors, different types of vectors, multiplication of a vector by a scalar

  2. 3D Geometry(Three-Dimensional Geometry)

    Vector and Cartesian equation of a line, Distance of a point from a plane, skew and coplanar lines, the shortest distance between two lines

Chapter 05 : Linear Programming

Introduction, Related Terminology, Different types of Linear Programming problems, objective functions, optimal feasible solutions

Chapter 05 : Probability

Multiplication theorem on probability, random variable and the probable distribution, repeated independent trials.

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Conclusion

The Class 12 students need to study the topics mentioned above to get a clear understanding and perform well in the exam.

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