Download Useful CBSE NCERT Class 11 Maths Syllabus

Hello Students, today we are going to discuss the latest Mathematics Syllabus of Class 11. As you know very well that the Central Board of Secondary Education (CBSE) has its own curriculum and they hold the supreme authority to change it further for the benefit of students. In this article, you can get complete information related CBSE Class 11 Maths Syllabus and Class 11 Maths Exam Pattern for the academic year 2019-20. Students can also download the Class 11 Maths Syllabus in pdf for the academic year 2019-20.

So it’s always a wise decision to keep an eye on what happening around with the subject you are going to learn. This year CBSE made little bit changes in Class 11 Maths NCERT Syllabus. Let us have a look at the updated CBSE Class 11 Maths Syllabus for the academic year 2019-20.

CBSE Class 11 Mathematics Syllabus

Check out the latest CBSE Maths Syllabus for Class 11. The syllabus is for the academic year 2019-20 session and will remain the same until the next notification. students are advised to check out the complete syllabus.

 Unit No. Units Name No. of Periods Marks I Sets and Functions 60 23 II Algebra 70 30 III Coordinate Geometry 40 10 IV Calculus 30 05 V Mathematical Reasoning 10 02 VI Statistics and Probability 30 10 Total 240 80 Internal Assessment 20

**No chapter/unit-wise weight. Care to be taken to cover all the chapters.**

Class 11 Mathematics Syllabus in Brief

Below we have mentioned the CBSE Class 11 Maths Syllabus in briefly describe to know the complete information regarding Maths Syllabus For 11 Class Students. Students are advised to check the Complete Maths for 11 Class.

Unit-I: Sets and Functions

1. Sets

Sets and their representations. Empty set. Finite and Infinite sets. Equal sets. Subsets. Subsets of a set of real numbers especially intervals (with notations). Power set. Universal set. Venn diagrams. Union and Intersection of sets. A difference of sets. The complement of a set. Properties of Complement Sets. Practical Problems based on sets.

2. Relations & Functions

Ordered pairs, the Cartesian product of sets. The number of elements in the cartesian product of two finite sets. Cartesian product of the sets of real (up to R x R). Definition of relation, pictorial diagrams, domain, co-domain, and range of a relation. Function as a special kind of relation from one set to another. Pictorial representation of a function, domain, co-domain, and range of a function. Real-valued functions, domain and range of these functions: constant, identity, polynomial, rational, modulus, Signum, exponential, logarithmic and greatest integer functions, with their graphs. Sum, difference, product, and quotients of functions.

3. Trigonometric Functions

Positive and negative angles. Measuring angles in radians and in degrees and conversion of one into other. Definition of trigonometric functions with the help of the unit circle. Truth of the sin2x+cos2x=1, for all x. Signs of trigonometric functions. Domain and range of trigonometric functions and their graphs.

Unit-II: Algebra

1. A principle of Mathematical Induction

The process of the proof by induction, motivating the application of the method by looking at natural numbers as the least inductive subset of real numbers. The principle of mathematical induction and simple applications.

2. Complex Numbers and Quadratic Equations

Need for complex numbers, especially √1, to be motivated by the inability to solve some of the quadratic equations. Algebraic properties of complex numbers. Argand plane and polar representation of complex numbers. Statement of Fundamental Theorem of Algebra, a solution of quadratic equations in the complex number system. Square root of a complex number.

3. Linear Inequalities

Linear Inequalities. Algebraic solutions of linear inequalities in one variable and their representation on the number line. Graphical solution of linear inequalities in two variables. Graphical solution of a system of linear inequalities in two variables.

4. Permutations and Combinations

The fundamental principle of counting. Factorial n. (n!)Permutations and combinations, derivation of formulae and their connections, simple applications.

5. Binomial Theorem

History, statement and proof of the binomial theorem for positive integral indices. Pascal’s triangle, General and middle term in binomial expansion, simple applications.

6. Sequence and Series

Sequence and Series. Arithmetic Progression (A.P.). Arithmetic Mean (A.M.) Geometric Progression (G.P.), the general term of a G.P., a sum of n terms of a G.P.

Unit-III: Coordinate Geometry

1. Straight Lines

A brief recall of two-dimensional geometry from earlier classes. Shifting of origin. A slope of a line and angle between two lines. Various forms of equations of a line: parallel to axis, point-slope form, slope-intercept form, two-point form, intercept form and normal form. The general equation of a line. An equation of the family of lines passing through the point of intersection of two lines. A distance of a point from a line.

2. Conic Sections

Sections of a cone: circles, ellipse, parabola, hyperbola; a point, a straight line and a pair of intersecting lines as a degenerated case of a conic section. Standard equations and simple properties of parabola, ellipse, and hyperbola. Standard equation of a circle.

3. Introduction to Three–dimensional Geometry

Coordinate axes and coordinate planes in three dimensions. Coordinates of a point. A distance between two points and section formula.

Unit-IV: Calculus

1. Limits and Derivatives

Derivative introduced as a rate of change both as that of distance function and geometrically.

The intuitive idea of a limit. Limits of polynomials and rational functions, trigonometric, exponential and logarithmic functions. Definition of derivative, relate it to a slope of the tangent of a curve, derivative of sum, difference, product and quotient of functions. The derivative of polynomial and trigonometric functions.

Unit-V: Mathematical Reasoning

1. Mathematical Reasoning

Mathematically acceptable statements. Connecting words/ phrases – consolidating the understanding of “if and only if (necessary and sufficient) condition”, “implies”, “and/or”, “implied by”, “and”, “or”, “there exists” and their use through variety of examples related to real life and Mathematics. Validating the statements involving the connecting words difference between contradiction, converse, and contrapositive.

Unit-VI: Statistics and Probability

1. Statistics

Measures of dispersion; Range, mean deviation, variance and standard deviation of ungrouped/grouped data. Analysis of frequency distributions with equal means but different variances.

2. Probability

Random experiments; outcomes, sample spaces (set representation). Events; an occurrence of events, ‘not’, ‘and’ and ‘or’ events, exhaustive events, mutually exclusive events, Axiomatic (set-theoretic) probability, connections with the theories of earlier classes. A probability of an event, the probability of ‘not’, ‘and’ and ‘or’ events.

Class 11 Maths Syllabus in Pdf

Here in this Section we have mentioned the CBSE Class 11 Maths Syllabus in pdf Format. Students Can Check the Class 11 Maths Syllabus and Class 11 Maths Exam Pattern For the academic year 2019-20. Get free pdf for 2019-20 Maths syllabus.

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