Below is the detailed Mathematics curriculum for the academic year 2022-23 as per the latest CBSE notification given. Mathematics is one of the most difficult and scoring subjects in 11th standard. So candidates should prepare for it properly to get good scores.

**Unit-I: Sets and Functions**

**Sets**- Sets and their representations
- Empty sets
- 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 a set
- Properties of Complement

**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 sinx, siny, cosx & cosy and their simple applications

**Unit-II: Algebra**

**Complex Numbers and Quadratic Equations**- The need for complex numbers, especially√−1, is motivated by the 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**- A 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.) is, the general term of a G.P., the sum of n terms of a G.P., infinite G.P. and its sum, geometric mean (G.M.), the relation between A.M. and G.M

**Unit-III: Coordinate Geometry**

**Straight Lines**- Brief recall of two-dimensional geometry from earlier classes
- The slope of a line and the 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 a point
- Distance between two points

**Unit-IV: Calculus**

**Limits and Derivatives**- A derivative is introduced as a rate of change both as that of distance function and geometrically
- The intuitive idea of limit
- Limits of polynomials and rational functions trigonometric, exponential and logarithmic functions
- Definition of derivative relates it to the scope of a tangent of the curve, a derivative of the sum, difference, product, and quotient of functions
- Derivatives of polynomial and trigonometric functions

**Unit-V: Statistics and Probability**

**Statistics**- Measures of Dispersion
- Range, Mean deviation, variance and standard deviation of ungrouped/grouped data

- Measures of Dispersion
**Probability**- 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
- Probability of an event, probability of ‘not’, ‘and’ and ‘or’ events