CBSE CLASS 11 MATHEMATICS

📘Sets

• Sets and their Representations
• Finite and Infinite sets
• Empty sets
• Equal sets
• Subsets of a set
• Venn diagrams
• Power set
• Universal set
• Difference of sets
• Union and Intersection of sets
• Complement of set
• Properties of Complement sets
• Problems based on sets

🔗Relations & Functions

• Ordered pairs
• Cartesian product of sets
• Number of elements in Cartesian product
• Function as a special relation
• Pictorial representation of function
• Real-valued functions, domain, and range
• Operations on functions

📐Trigonometric Functions

• Positive and negative angles
• Measuring angles in radians and in degrees
• Definition of trigonometric functions
• sin²(x) + cos²(x) = 1, for all x
• Signs of trigonometric functions
• Domain and range of trigonometric functions
• Expressing sin(x±y), cos(x±y)
• Identities: cos(2x), sin(2x), tan(2x), cos(3x), sin(3x), tan(3x)
• General solution of trigonometric equations

🧮Complex Numbers and Quadratic Equations

• Need of Complex Numbers
• Argand Plane
• Properties of Complex Numbers
• Basic theorem of Algebra
• Square root of complex number

➗Linear Inequalities

• Understanding Linear Inequalities
• Solution of Linear Inequalities in one variable
• Solution of Linear Inequalities in two variables
• Graphical solution of Linear Inequalities

🔀Permutations and Combinations

• Basic principle of counting
• Factorial n
• (n!) permutation and combination
• Derivation and application of formulae

⚪Binomial Theorem

• Historical perspective
• Pascal’s Triangle
• Proof of binomial theorem for positive integral indices
• General term of Binomial expansion
• Simple applications

🔢Sequence and Series

• Sequence and Series
• Arithmetic Progression
• Arithmetic Mean
• Geometric Progression
• Arithmetic and Geometric series
• General terms of G.P.
• Sum of n terms
• Geometric mean
• Relation between A.M. and G.M.

📏Straight Lines

• Review of 2-D Geometry
• Shifting origin
• Slope of line
• Angle between lines
• Different forms of equations
• Equation of lines through the intersection of two lines
• General equation of line
• Distance of a point from a line

➰Conic Sections

• Understanding sections of a cone – circle, parabola, ellipse, hyperbola
• Standard equations and simple properties of parabola, ellipse, hyperbola
• Standard equation of circle

🧊Introduction to 3-D Geometry

• Coordinates of a point
• Coordinate planes and axes in 3D
• Distance between two points
• Section formula

📉Limits and Derivatives

• Introduction of derivatives as rate of change
• Intuitive idea of limit
• Limits of polynomials and rational functions
• Definition of derivatives
• Slope of tangent of a curve
• Derivative of difference, sum, quotient and product of functions
• Derivative of trigonometric and polynomial functions

📊 Statistics

• Measures of Dispersion: Mean deviation, variance, range, standard deviation
• Analysis of frequency distributions

🎲Probability

• Random experiment- outcomes
• Occurrence of events, exhaustive events
• Axiomatic probability
• Probability of an event