Class 11 Syllabus

Class 11 Maths Syllabus is given below. Students can get to know the marks-wise weightage of all the chapters and focus prepare strategies to excel in the examination.

Course Structure

Maths Syllabus for Class 11 (2016-17)

Three Hours                                                                  Max. Marks -100

Unit Topic Marks
I. Sets and Functions 29
II. Algebra 37
III. Co-ordinate Geometry 13
IV. Calculus 6
V. Mathematical Reasoning 3
VI. Statistics and Probability 12
Total 100

  • 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.
  • Ordered pairs, Cartesian product of sets.
  • Cartesian product of the sets of real (up to R x R).
  • Pictorial representation of a function, domain, co-domain, and range of a function. Function as a special kind of relation from one set to another.
  • Definition of relation, pictorial diagrams, domain, co-domain, and range of a relation. Number of elements in the cartesian product of two finite sets.
  • Sum, difference, product and quotients of functions.
  • Real-valued functions, domain and range of these functions: modulus, exponential, constant, polynomial, identity, rational, Signum, logarithmic and greatest integer functions, with their graphs.
  • 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.
  • 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.
  • 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.
  • 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.
  • Fundamental principle of counting.
  • Factorial n. (n!)Permutations and combinations,
  • Derivation of formulae and their connections, simple applications.
  • History, statement and proof of the binomial theorem for positive integral indices. Pascal’s triangle.
  • General and middle term in binomial expansion, simple applications.
  • 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
  • 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.
  • 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.
  • Coordinate axes and coordinate planes in three dimensions.
  • Coordinates of a point.
  • Distance between two points and section formula.li>
  • 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.
  • 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.
  • Measures of dispersion; Range, mean deviation, variance and standard deviation of ungrouped/grouped data.
  • Analysis of frequency distributions with equal means but different variances.
  • 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.

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