CBSE Class 11 Mathematics Syllabus 2016 – 2017
In this article, you can find the syllabus of CBSE Class 11^{th} Mathematics for the academic session 2016‒2017. You can view and download the complete syllabus from this article.
CBSE has released syllabus of Class 11 for the academic session 2016‒2017.
The key contents of the syllabus issued by CBSE for Class 11th Mathematics are:
 Name of the Units and their weightage in Board Exam
 Details of topics and subtopics to be covered in each unit
 Prescribed books
 Question Paper Design for CBSE Class 11th Mathematics Board Exam (201617)
The complete syllabus is as follows:
Name of the Units and their weightage in Board Exam
Unit No. 

No. of Periods 
Marks 
I 
Sets and Functions 
60 
29 
II 
Algebra 
70 
37 
III 
Coordinate Geometry 
40 
13 
IV 
Calculus 
30 
06 
V 
Mathematical Reasoning 
10 
03 
VI 
Statistics and Probability 
30 
12 

Total 
240 
100 
Details of topics and subtopics to be covered in each unit
UnitI: 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. Difference of sets. Complement of a set. Properties of Complement Set.
2. Relations & Functions:
Ordered pairs, Cartesian product of sets. Number of elements in the cartesian product of two finite sets. Cartesian product of the set of reals with itself (upto R × R × R). Definition of relation, pictorial diagrams, domain, codomain and range of a relation. Function as a special type of relation. Pictorial representation of a function, domain, codomain 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 quotient of functions.
3. Trigonometric Functions:
Positive and negative angles. Measuring angles in radians and in degrees and conversion from one into other. Definition of trigonometric functions with the help of unit circle. Truth of the identity sin^{2}x+cos^{2}x=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 applications. 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 (with real coefficients) 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 for ^{n}P_{r}, ^{n}C_{r} 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., infinite G.P. and its sum, geometric mean (G.M.), relation between A.M. and G.M. Formula for the following special sum:
Unit III: 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.
Unit IV: Calculus
1. Limits and Derivatives
Derivative introduced as rate of change both as that of distance function and geometrically.
Intutive idea of limit. Limits of polynomials and rational functions, trignometric, exponential and logarithmic functions. Definition of derivative, relate it to slope of tangent of the 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; 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.
Prescribed books
1. Mathematics Textbook for Class XI, NCERT Publication
2. Mathematics Exemplar Problem for Class XI, Published by NCERT
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