PSEB Class 11 Maths Syllabus 2024-2025: Download for New Course Structure, Content and Exam Pattern

Unit-I Sets and Functions

1. Sets

Sets and their representations. Empty set, Finite & Infinite sets, Equal sets, Subsets, Subsets of the 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 .

2. Relations & Functions

Ordered pairs, Cartesian product of sets. Number of elements in the Cartesian product of two finite sets. Cartesian product of the reals with itself (upto 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 function, domain and range of these functions, constant, identity, polynomial, rational, modulus, signum and greatest integer functions with their graphs. Sum, difference, product and quotients of functions.

3. 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 function 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 sin2x, cos2x, tan2x, sin3x, cos3x and tan3x.

Unit-II Algebra

4. Complex Numbers and Quadratic Equations

Need for complex numbers, especially √−1 , to be motivated by inability to solve some of the quadratic equation. Algebraic properties of complex number. 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.

5. Linear Inequalities

Linear inequalities. Algebraic solutions of linear inequalities in one variable and their representation on the number line.

6. Permutations & Combinations

Fundamental principle of counting, Factorial n(n!) Permutations and combinations, derivation of formulae for n_pr and n_cr and their connections, simple applications.

7. Binomial Theorem

History, statement and proof of the binomial theorem for positive integral indices. Pascal’s triangle. Simple applications.

8. 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.

Unit-III: Coordinate Geometry

9. 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, slop–intercept form, two–point form, intercept form. Distance of a point from a line.

10. 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 equations of a circle.

11. Introduction to Three-dimensional Geometry

Coordinate axes and coordinate planes in three dimensions .Coordinates of a point. Distance between two points.

Unit-IV: Calculus

12. 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 slope of tangent of the curve, derivative of sum, difference, product and quotient of functions. Derivatives of polynomial and trigonometric functions.

Unit-V: Statistics and Probability

13. Statistics

Measure of Dispersion: Range, mean deviation, variance and standard deviation of ungrouped/grouped data.

14. Probability

Events: Occurrence of events, ‘not’, ‘and’ & ‘or’ events, exhaustive events, mutually exclusive events. Axiomatic (set theoretic) probability, connections with others theories of earlier classes. Probability of an event , probability of ‘not’, ‘and’ & ‘or’ events.

PSEB Class 11 Mathematics Syllabus 2024-2025 PDF