Punjab Board PSEB Class 11 Maths Syllabus 2025-26, Download FREE PDF

Board Name

Punjab School Education Board (PSEB)

Class

11

Subject

Maths

Total Marks

100

Theory Marks

80

Practical Marks

20

Exam Duration

3 Hours

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  R  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. 

4. 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 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 ݊௣ೝ and ݊௖ೝ 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. 

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.

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.

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.

Mathematics Activities

10 Marks

Distribution of marks under CCE(Besides Mathematics Activities )

10 Marks