CBSE Syllabus For Class 11,Detailed Syllabus of CBSE For Class 11
NCERT Syllabus for class 11 Maths is important for the students of class 11, as it gives a brief idea about topics in Maths.
Practicing solved and unsolved questions from NCERT Maths textbooks helps students to have a better understanding of the subject, which helps to excel in the board examination as well as in the competitive examination, such as JEE etc. NCERT syllabus helps students to prepare a strategic plan for studying. As maths requires a lot of practice, it is important for the students to have a thorough practice of all the questions. Students can visit our site to know more practice important maths question.
Syllabus of CBSE Class 11 Maths contains all topics which you will study this session. You should refer to the official CBSE Syllabus only to study Maths when you are in Class 11. Central Board of Secondary Education (CBSE) changes Class 11 Maths Syllabus from time to time.
Unit

Topic

Marks

I.

Sets and Functions

29

II.

Algebra

37

III.

Coordinate Geometry

13

IV.

Calculus

6

V.

Mathematical Reasoning

3

VI.

Statistics and Probability

12


Total

100

UnitI: Sets and Functions
1. Sets
 Sets and their representations.
 Finite and Infinite sets.
 Empty set. Power set. Equal sets. Subsets.
 Properties of Complement Sets.
 Venn diagrams. Difference of sets.
 Complement of a set.
 Universal set. Subsets of a set of real numbers especially intervals (with notations).
 Union and Intersection of sets.
 Practical Problems based on sets.
2. Relations & Functions
 Ordered pairs, Cartesian product of sets.
 Cartesian product of the sets of real (up to R x R).
 Pictorial representation of a function, domain, codomain, and range of a function. Function as a special kind of relation from one set to another.
 Definition of relation, pictorial diagrams, domain, codomain, and range of a relation. Number of elements in the cartesian product of two finite sets.
 Sum, difference, product and quotients of functions.
 Realvalued functions, domain and range of these functions: modulus, exponential, constant, polynomial, identity, rational, Signum, logarithmic and greatest integer functions, with their graphs.
3. Trigonometric Functions
 Positive and negative Angles.
 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.
 Measuring angles in radians and in degrees and conversion of one into other. Expressing sin (x±y) and cos (x±y) in terms of sin x, sin y, cos x & cos y and their simple application.
 Deducing identities like the following: Identities related to sin 2x, cos2x, tan 2x, sin3x, cos3x and tan3x.
 General solution of trigonometric equations of the type sin y = sin a, cos y = cos a and tan y = tan a.
UnitII: Algebra
1. Principle of Mathematical Induction
 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 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, 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 system of linear inequalities in two variables.
4. Permutations and Combinations
 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.), general term of a G.P.,
 Sum of n terms of a G.P., Arithmetic and Geometric series infinite G.P. and its sum, geometric mean (G.M.),
 Relation between A.M. and G.M.
 Formula for the following special sum
UnitIII: Coordinate Geometry
1. Straight Lines
 Brief recall of two dimensional geometry from earlier classes. Shifting of origin.
 Slope of a line and angle between two lines.
 Various forms of equations of a line: parallel to axis, pointslope form, slopeintercept form, twopoint form, intercept form and normal form.
 General equation of a line. Equation of family of lines passing through the point of intersection of two lines.
 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.
 Distance between two points and section formula
UnitIV: Calculus
1. Limits and Derivatives
 Derivative introduced as rate of change both as that of distance function and geometrically.
 Intuitive idea of limit.
 Limits of polynomials and rational functions, trigonometric, exponential and logarithmic functions.
 Definition of derivative, relate it to slope of tangent of a curve, derivative of sum, difference, product and quotient of functions.
 The derivative of polynomial and trigonometric functions.
UnitV: 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.
UnitVI: 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; occurrence of events, ‘not’, ‘and’ and ‘or’ events, exhaustive events, mutually exclusive events, Axiomatic (set theoretic) probability, connections with the theories of earlier classes.
 Probability of an event, probability of ‘not’, ‘and’ and ‘or’ events.
Important Topics to focus in Maths Exam Chapterwise
Chapter Name

Important Topics and Tips

Relations and Functions

 Types of Relations
 Composite of two functions
 Invertible Functions
 Frequently asked question are from ‘Equivalence relations’ and composite of functions

Inverse Trigonometric Functions

 Properties of Inverse Trigonometric functions
 Write down domain and range of all trigonometric function and related graphs on paper and revise them on daily basis

Matrices

 Multiplication of Matrices
 Symmetric and Skew Symmetric Properties
 Finding Inverse of a Matrix using elementary transformation
 Most of the students get stuck in elementary transformation

Determinants

 Properties of determinants
 Adjoint and Inverse of a Matrix
 Solution of system of linear equations
 Always mark the question while you get stuck, because all questions cannot be practised before exams

Continuity and Differentiability

 Continuity of a function
 Logarithmic Differentiation
 Second order derivatives
 Differentiation of Parametric form of functions
 Logarithmic, trigonometric functions, exponential should be at tip

Application of Derivatives

 Rate of change
 Increasing and decreasing functions
 Tangents and Normal to Curves
 First and Second Derivatives Test for finding Local Maxima and Minima

Integrals

 Integration by method of Substitution
 Integration by Method of Partial Fractions
 Integration by Parts
 Definite Integral as Limit of a sum
 Properties of Definite Integrals

Application of Integrals

 Area under curves
 Area bounded by a curve and a line
 Area bounded by 2 Curves
 It always better to draw the curve and shade the area to be calculated

Differential Equations

 Formation of differential equation
 Method of Solving Differential Equation with variable separable
 Homogeneous Differential Equation
 Linear differential equation

Vector Algebra

 Scalar Product of Vectors and Projection of Vectors on a line
 Vector Product of Vectors

3D Geometry

 Direction Cosines and Direction Ratio of line
 Equation of line
 Coplanarity of line
 Angle between 2 lines
 Shortest distance between 2 skew lines
 Equation of plane in normal form
 Equation of plane perpendicular to given vector and passing through a given point
 Equation of plane passing through 3 noncollinear points
 Plane passing through the intersection of two planes
 Angle between 2 planes
 Distance of a point from a plane
 Angle between a line and a plane

Linear Programming

 Graphical Solution to linear problems

Probability

 Multiplication Theorem of Probability
 Independent Events
 Bayes’ Theorem
 Random Variable and its probability distribution
 Mean and Variance of Random Variable
 Binomial Distribution
 Try to revise the concepts of permutation and combination before getting into the chapter
