The UP board has uploaded the UP board syllabus of class 12th maths 2018-2019
on its official website. We have also uploaded a new UP board class 12th math
syllabus on our website. Students can download new UP board class 12 mathematics
syllabus from it. Students can download the new UP board class 12 maths syllabus,
they can do the according to their new syllabus and can get good marks in the UP
board math exam, students will have to solve the UP board class 12 maths practice
set according to the new math syllabus so that the students get the idea of the
questions coming in the exam and that Could strengthen your exam
UP Board syllabus of class 12th math
Class 12
Subject - Math
Exam Duration - 3 Hours
Marks- 100
Unit
|
Title
|
Marks
|
1
|
Relationship and function
|
10
|
2
|
Algebra
|
13
|
3
|
Function
|
44
|
4
|
Vector and three-dimensional geometry
|
17
|
5
|
Linear programming
|
06
|
6
|
Probability
|
10
|
|
Total
|
100
|
Unit-1: Relations and Functions 10 marks
1. Relations and Functions: Types of relations: automatic, symmetric, contagious
and equivalence relations, unitary and overlapping functions, joint functions, inverse
of functions, binary operations.
2. Perilome trigonometric functions: Definition, Range, Province, Key values branches,
Articles of inverse trigonometric functions. Initial properties of inverse trigonometric
functions
Unit-2: Algebra 13 digits
1. Matrices: Concept, Notation, Order, Equality, Types of Matrices, Zero and
Simultaneous Matrices, Changes of Matrices, Symmetric and Odd Symmetric
Matrices. Activities on Matrices: Sum and multiplication and scalar multiplication.
Simple
properties of sum, multiplication and scalar multiplication. Unreconciliation of
multiplication of matrices and existence of nonzero matrices whose multiplication is
a zero matrix (limited to the square matrices of order 2). Concept of initial line and
column operations, inverse matrix and inverse uniqueness if it exists
(here the elements of all matrices are real numbers).
2. Arithmetic: The determinant of a square matrix (up to a square matrix of 3x3 order),
the properties of the determinants, the determinant and the covariance, the application
of the determinants in finding the area of a triangle, the inverse of the covariance
matrix and the matrix. Finding the number of solutions of a linear equation body by
corresponding, incompatible and examples. Solving linear equation bodies in two or
three variables (which have unique solutions) using the inverse of the matrix.
Unit-3: function 44 points
1. Continuity and Differential: Continuity and Differential The Differentiation of
Combined Functions, Series Rules, Differentiation of Inverse Trigonometric Functions,
Differential Functional Differentiation, Variable Exponential and Concept of
Logarithmic Functions and their Differentiation. Logarithmic Differentiation,
Differential Expressions of Functional Forms, Second-order Differential, Mean
The theorem of Rowley and Lagranz (without subsidence) and they're geometric
interpretation and application.
2. Applications of Calculations: Applications of Calculations, Rate of Change, Increase / Loss Value Functions, Perpendiculars and Tangents, Adjacent Highest and Lowest (Geometric Motivation of First Differential Test and Second Differential Test Equivalent Tool) Simple Questions (which are subject Demonstrate an understanding of basic principles and relate to real life).
3. Integration: Integration, as an inverse process of differential calculus, by integrating multiple types of functions, by partial fractions, by segmentation, to find the value of simple integrations of the following types only and based on them, the question -
Determine the integral as the limit of the sum, the theorem of the calculus
(without derivative), the basic properties of the definite integrals and to find its values.
4. Applications of integrations -
Application: To find the area under ordinary curves, especially the lines, the area of a
circle / parabola / ellipse (only in standard form), the area between any of the above
two curves (the area is perfectly defined).
5. Differential Equations - Definition, Rank, and Power, Comprehensive and Specific
The solution of Differential Equations, Making Differential Computation with Given
Comprehensive Solution, Solution of Differential Equations by Differential Variable
Methods, Solution of First Grade and First Degree Equivalent Differential Equations.
Solve types of linear differential equations
Unit-3: function 44 points
1. Continuity and Differential: Continuity and Differential The Differentiation of
Combined Functions, Series Rules, Differentiation of Inverse Trigonometric Functions,
Differential Functional Differentiation, Variable Exponential and Concept of Logarithmic
Functions and their Differentiation. Logarithmic Differentiation, Differential Expressions
of Functional Forms, Second-order Differential, Mean Theorem of Rowley and Lagranz
(without subsidence) and their geometric interpretation and application.
2. Applications of Calculations: Applications of Calculations, Rate of Change, Increase
/ Loss Value Functions, Perpendiculars and Tangents, Adjacent Highest and Lowest
(Geometric Motivation of First Differential Test and Second Differential Test Equivalent
Tool) Simple Questions (which are subject Demonstrate an understanding of basic
principles and relate to real life).
3. Integration: Integration, as an inverse process of differential calculus, by integrating
multiple types of functions, by partial fractions, by segmentation, to find the value of
simple integrations of the following types only and based on them, the question -
Determine the integral integral as the limit of the sum, the theorem of the calculus
(without derivative), the basic properties of the definite integrals and to find its values.
4. Applications of integrations -
Application: To find the area under ordinary curves, especially the lines, the area of a
circle /parabola/ellipse (only in standard form), the area between any of the above two
curves (the area is perfectly defined).
5. Differential Equations - Definition, Rank, and Power, Comprehensive and Specific
A solution of Differential Equations, Making Differential Computation with Given
Comprehensive Solution, Solution of Differential Equations by Differential Variable
Methods, Solution of First Grade and First Degree Equivalent Differential Equations.
Solve types of linear differential equations...
Unit – 5: Linear Programming 06 Marks
1. Linear Programming: Role, related terms, such as constraint, objective function, definitions
of solutions, different types of linear programming problems, mathematical formulation of
linear programming problems, graphical solution to problems given in two variables, consistent
and inconsistent. Area, Consistent and Incompatible Solution, Optimal Consistent Solution.
Unit-6: Probability 10 marks
Conditional, (Constant) Probability, Multiplication Rule of Probability, Independent Events,
Total Probability, Beige Theorem, | Random variables, and probability distribution and their
probability distribution, mean and variance of random variables, Bernoulli test and binomial
distribution.
Uttar Pradesh Secondary Education Council, Allahabad
Class-12 maths
Syllabus and Textbooks
First question paper
Maximum marks: 50
Unit
|
Title
|
Marks
|
1.
|
Algebra
|
22
|
2.
|
Inverse trigonometric function
|
08
|
3.
|
coordinate geometry
|
20
|
|
|
Total Marks-50
|
unit 1. Algebra
1. Matrices (10 digits)
Concept, Notation, Sequence, Equality, Types of Matrices, Zero Matrices, Transformation
of a Matrix, Symmetric and Odd Symmetric Matrices, Sum of Matrices and Scalar
Multiplications Simple Properties of Sum Multiplication and Scalar Multiplication.
Unreconciliation of multiplication of matrices and existence of nonzero matrices
whose multiplication is a zero matrix (limited to the square matrices of order 2).
Concept of initial line and column operations, inverse matrix and uniqueness of inverse,
if its existence (Here the elements of all matrices. Are real numbers)
2. Tabular (06 Marks)
The determinant of a square matrix (up to a square matrix of 3 × 3), the properties of the
determinants, the subsystem and the bisectors, the application of the determinants in
finding the area of the triangle is the co-segment matrix and the inverse of the matrix.
Finding the number of solutions of a linear equation body by corresponding,
incompatible and examples. Solving a linear equation in two or three variables using the
inverse of the body (which has a unique solution). Kramer's rule and its applications.
3. Linear errors - (06 digits)
Linear problems, algebraic solutions of linear inequalities in a variable and its
representation on a number line. Graphical solution of linear inequalities in two
variables.
Unit-2. Inverse trigonometric rotation
Articles by definition, premises, provinces, main branches, inverse trigonometric
functions. Initial properties of inverse trigonometric functions. (08 digits)
Unit-3. Coordinate geometry
1. Conical circumference - Conical circumference, ellipse, perpendicular and
non-convex. A dot, a straight line and a pair of intersecting lines, in the unrefined form
of a cone passage. Standard equation of circle General equation of the circle, introduction
of ellipse and constant of unipolar. Restriction of the tangent line to the circle, parabola,
ellipse, and non-hyperbola of the straight line Y = mx + c. (14 digits)
2. Introduction to trigonometric geometry - directions and coordinates plane,
coordinates of a point, distance between two points and segment formulas in
three-dimensional space. (06 marks)
mathematics
Second paper integer: 50
Unit
|
Title
|
Marks
|
1.
|
Differentiation
|
12
|
2.
|
Integration
|
12
|
3.
|
Integration
|
06
|
4.
|
Linear programming
|
05
|
5.
|
Vector and three-dimensional geometry
|
15
|
|
|
Total marks 50
|
