Mathematics is a crucial subject for CBSE board examinations as well as for the entrance exams since it carries a considerable weightage in total marks. CBSE 11th Maths syllabus has been divided into 6 units that students have to prepare for the upcoming exams.
According to CBSE 11th Maths Syllabus PDF, the examination will account for 80 marks and internal assessment will account for another 20 marks. Students will get 33% internal choices for all sections.
As per the CBSE 11th Maths Syllabus 2020-21, the Board has reduced up to 30% of the Maths 11th CBSE Syllabus for the 2020-21 academic session for classes 9 to 12. The thought is to reduce the burden for students due to the progressing COVID-19 crisis.
Class 11th Maths CBSE Syllabus
The following table provides unit-wise breakup of Class 11th Maths Syllabus CBSE:
Unit No. |
Unit Name |
Number of Periods |
Marks |
1 |
Sets and Functions |
60 |
23 |
2 |
Algebra |
70 |
30 |
3 |
Coordinate Geometry |
40 |
10 |
4 |
Calculus |
30 |
5 |
5 |
Mathematical Reasoning |
10 |
2 |
6 |
Statistics and Probability |
30 |
10 |
Total |
240 |
80 |
Internal Assessment |
20 |
Grand Total |
100 |
11th CBSE Maths Syllabus 2020-21 - Unit and Chapter-wise Distribution
The following section provides unit and chapter-wise breakup of CBSE 11th Commerce Maths Syllabus:
Unit-I: Sets and Functions
Chapter 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
- Difference of sets
- Complement of a set
- Properties of Complement Sets
- Practical Problems based on sets
Chapter 2: Relations & Functions
- Ordered pairs - Cartesian product of sets
- Number of elements in the cartesian product of two finite sets
- Cartesian product of the sets of real (up to R × R)
- Definition of − Relation, Pictorial diagrams, Domain, Co-domain, 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, Greatest integer functions (with their graphs)
- Sum, difference, product and quotients of functions.
Chapter 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 unit circle
- Truth of the sin2x + cos2x = 1, for all x
- Signs of trigonometric functions
- Domain and range of trigonometric functions and their graphs
- Expressing sin (x±y) and cos (x±y) in terms of sinx, siny, cosx & cosy and their simple application
- 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.
Unit-II: Algebra
Chapter 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
Chapter 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
Chapter 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
Chapter 4: Permutations and Combinations
- Fundamental principle of counting
- Factorial n
- (n!) Permutations and combinations
- Derivation of formulae and their connections
- Simple applications.
Chapter 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
Chapter 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.
Unit-III: Coordinate Geometry
Chapter 1: Straight Lines
- Brief recall of two dimensional geometries 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, Point-slope form, Slope-intercept form, Two-point form, Intercept form, 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
Chapter 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, Hyperbola
- Standard equation of a circle
Chapter 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
Unit-IV: Calculus
Chapter 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
Unit-V: Mathematical Reasoning
Chapter 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
Chapter 1: Statistics
- Measures of dispersion − Range, Mean deviation, Variance, Standard deviation of ungrouped/grouped data
- Analysis of frequency distributions with equal means but different variances.
Chapter 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 for Class 11 Maths Exam 2020:
The following are some of the important topics from CBSE 11th Commerce Maths Syllabus that students must prepare before appearing for the exam:
Unit-I: Sets and Functions
Chapter 1: Sets
- Questions based on different types of sets (Empty set. Finite and Infinite sets. Equal sets. Subsets).
- Power set & Universal set
- Question based on Union Venn diagrams.
- Question based on Union and Intersection of sets.
- Question based difference & complement of sets
- Question based properties of complement.
Chapter 2: Relations and Functions
- Ordered pairs.
- Question based on cartesian product of sets.
- Cartesian product of the set of reals with itself (upto R x R x R).
- Definition of relation, pictorial diagrams, domain, co-domain and range of a relation.
- Function as a special type of relation.
- 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.
- Question based on Sum, difference, product and quotients of functions.
Chapter 3: Trigonometric Functions
- Positive and negative angles.
- Measuring angles in radians and in degrees and conversion from one measure to another.
- Definition of trigonometric functions with the help of unit circle.
- Truth of the identity sin2x + cos2x = 1, for all x.
- Signs of trigonometric functions. Domain and range of trigonometric functions and their graphs.
- Expressing sin (x ± y) and cos (x ± y) in terms of sin x, sin y, cos x & cos y and their simple applications.
- Identities related to sin 2x, cos 2x, tan 2x, sin 3x, cos 3x and tan 3x.
- General solution of trigonometric equations of the type sin y = sin a, cos y = cos a and tan y = tan a.
Unit-II: Algebra
Chapter 4: Principle of Mathematical Induction
- Question based on 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.
Chapter 5: Complex Numbers and Quadratic Equations
- Need for complex numbers, especially √−1, to be motivated by inability to solve some of the quadratic equations.
- Question based on complex numbers of 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 (with real coefficients) in the complex number system.
- Square root of a complex number.
Chapter 6: Linear Inequalities
- Questions based on 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 method of finding a solution of system of linear inequalities in two variables.
Chapter 7: Permutations and Combinations
- Questions based on fundamental principle of counting.
- Questions based on Factorial n. (n!)
- Questions based on Permutations and combinations,
- Derivation of Formulae forn nPr and nCr and their connections, simple applications.
Chapter 8: Binomial Theorem
- Statement and proof of the binomial theorem for positive integral indices.
- Knowledge of Pascal's triangle
- Questions based on General and middle term in binomial expansion, simple applications.
Chapter 9: Sequences and Series
- Questions based on Sequence and Series.
- Questions based on Arithmetic Progression (A. P.), Arithmetic Mean (A.M.), Geometric Progression (G.P.)
- Questions based on finding the General term of a G.P.
- Questions based on sum of n terms of a G.P.
- Questions based on infinite G.P. and its sum,
- Questions based on Geometric mean (G.M.)
- Relation between A.M. and G.M.
Unit-III: Coordinate Geometry
Chapter 10: 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, point –slope form, slope-intercept form, two-point 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.
Chapter 11: Conic Sections
- 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.
Chapter 12: Introduction to Three Dimensional Geometry
- Questions based on Coordinate axes and coordinate planes in three dimensions.
- Questions based on Coordinates of a point.
- Questions based on distance between two points and section formula.
Unit-IV: Calculus
Chapter 13: 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 scope of tangent of the curve.
- Derivative of sum, difference, product and quotient of functions.
- Derivatives of polynomial and trigonometric functions.
Unit-V: Mathematical Reasoning
Chapter 14: 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 among contradiction, converse and contrapositive.
Unit-VI: Statistics and Probability
Chapter 15: 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.
Chapter 16: Probability
- Questions based on 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 other theories of earlier classes.
- Questions based on probability of an event, probability of ‘not’, ‘and’ and ‘or’ events.
Important Books
CBSE endorses the NCERT books to cover the whole syllabus of 11th CBSE Maths. The following are some of the prescribed and reference books that will immensely help students to prepare for 11th Maths CBSE Syllabus.
CBSE Eleventh Maths Prescribed Books
The following are some of the books prescribed by CBSE that cover CBSE 11th Maths Syllabus for 1st term as well as 11th CBSE Maths Syllabus 2020-21:
- Textbook for Class XI, NCERT Publications
- Exemplar Problem for Class XI, Published by NCERT
Reference Books for NCERT eleventh Class Maths
Students can refer to the following reference books that cover CBSE 11th Science Maths Syllabus:
- Science for Class 11 by RD Sharma
- Science for Class 11 by RS Agarwal