CBSE Math 11 Syllabus
Total Marks 80
Sets and Functions 23
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)
👉 Universal set
👉 Venn diagrams
👉 Union and Intersection of sets
👉 Difference of sets
👉 Complement of a set
👉 Properties of Complement Sets
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 (up to 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.
👉 Sum, difference, product and quotients of functions.
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 application.
👉 Deducing identities like the following: Identities related to sin 2x, cos 2x, tan 2x, sin 3x, cos 3x and tan 3x.
Algebra 25
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.
Linear Inequalities
👉 Linear inequalities
👉 Algebraic solutions of linear inequalities in one variable and their representation on the number line.
Permutations and Combinations
👉 Fundamental principle of counting
👉 Factorial n. (n!)
👉 Permutations and combinations
👉 Derivation of formulae for nPr and nCr and their connections, simple applications.
Binomial Theorem
👉 Historical perspective, statement and proof of the binomial theorem for positive integral indices
👉 Pascal's triangle, simple applications.
Sequence and Series
👉 Sequence and Series
👉 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.
Coordinate Geometry 12
Straight Lines
👉 Brief recall of two dimensional geometry from earlier classes
👉 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,
👉 Distance of a point from a line.
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.
Introduction to Three-dimensional Geometry
👉 Coordinate axes and coordinate planes in three dimensions
👉 Coordinates of a point
👉 Distance between two points.
Calculus 08
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.
Statistics and Probability 12
Statistics
👉 Measures of dispersion: Range, mean deviation, variance and standard deviation of ungrouped/grouped data.
Probability
👉 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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