Assam Board AHSEC Class 11 Maths Syllabus 2024-2025: Download Revised Syllabus in PDF

Assam HS 1st Year Maths Syllabus: The Assam Higher Secondary Education Council (AHSEC) has released the revised Mathematics syllabus for higher secondary first year course. The board has restructured the syllabus into five main units to provide a comprehensive understanding of mathematical concepts.

The Assam Class 11 Maths Syllabus for the 2024-2025 academic session covers five main units:

• Sets and Functions
• Algebra
• Coordinate Geometry
• Calculus
• Statistics and Probability

The syllabus focuses on core topics like sets, relations, functions, trigonometry, complex numbers, permutations, combinations, conic sections, limits, derivatives, and probability. The curriculum also emphasizes mathematical modeling and real-life applications.

Students must analyze the complete syllabus not only to understand the depth of the course content but also to know the marks distribution across topics and the examination pattern. Check and download the detailed syllabus below.

AHSEC Class 11 Maths Unitwise Distribution of Marks & Periods: 2024-2025

AHSEC Class 11 Maths Syllabus 2024-2025

Check the unitwise distribution of course contents for Assam board class 11 mathematics below:

Unit-I : SETS AND FUNCTIONS

1.Sets: Marks- 09

Sets and their representations, Empty set, Finite and Infinite sets, Equalsets, Subsets, Subsets of the set of real numbers especially intervals(with notations), Universal set, Venn diagrams, Union and Intersectionofsets, Difference of sets, Complement of a set.

2.Relations and Functions: Marks 08

Cartesian product of sets, Number of elements in the Cartesian product of two finite sets, Cartesian product of the reals with itself (uptoR×R×R).

Definition of relation, pictorial diagrams, domain, co-domain and range of a relation, Function as a special kind of relation from one set to another, Pictorialrepresentationofa function, domain, co-domain and range of a function, Real valued function of the realvariable, 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: Marks 09

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 and sketch of their graphs, Expressings in (x+y) and cos(x+y) in terms of sinx, siny, cosx and cosy, Deducing the identities

like following:

Identities related to sin2x, cos2x, tan2x, sin3x, cos3x and tan3x,

Unit-II : ALGEBRA

1.ComplexNumbers andQuadraticEquations: Marks 06

Need for complex numbers, especially √-1 , to be motivated by inability to solve every quadratic equation, Brief description of algebraic properties of complex numbers,The modulus and the conjugate of a complex number. Argand plane and polar representation.

2.Linear Inequalities: Marks 04

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

3.Permutations and Combinations: Marks 07

Fundamental principle of counting, Factoria n.Permutations and combinations, derivation of formulae and their connections, simple applications.

4.Binomial Theorem : Marks 07

Statement and proof of the binomial theorem for positive integral indices, Pascal’striangle, simple applications.

5.Sequence and Series : Marks 06

Sequence and Series. Geometric progression (G.P.), general term of a GP., sum of n terms ofa GP., geometric mean(G.M.), relation between A.M. and GM.

Unit-III: COORDINATE GEOMETRY

1.Straight Lines: Marks 08

Briefrecallof2D from earlier classes. Slope ofa line and angle between two lines,Various forms of equations of a line, parallel to axes, point-slope form, slope-intercept form, two-point form, interceptformandGeneral equation of a line, Distance ofa point from a line.

2.Conic Sections : Marks 08

Sections of a cone: Circle, ellipse, parabola, hyperbola, a point, a straight line and 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.

3.Introduction to Three-dimensional Geometry : Marks 04

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

Unit-IV : CALCULUS

Limits and -Derivatives Marks 12

Intuitive idea of limits. 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.

Unit-V : STATISTICS AND PROBABILITY

1.Statistics: Marks 07

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

2.Probability: Marks 05

Events, Occurrence of events, ‘not’, ‘and’ ‘or’ events, exhaustive events, mutually exclusive

events, Axiomatic (set theoretic) probability, connections with the theories of earlier classes,

Probabilityofanevent, probability of ‘not’, ‘and’& ‘or’ events.

Appendix

1.Infinite Series :

Binomial theorem for any index, infinite geometric series, exponential and logarithmic series.

2.Mathematical Modelling :

Consolidating the understanding developed up to Class X. Focus on modelling problems relatedto real-life (like environment,travel, etc.) and connecting with other subjects of study where many constraints may really need to be ignored, formulating the model, looking for solutions, interpreting them in the problem situation and evaluating the model.

Find below the direct link to download the syllabus in PDF:

Prescribed Textbook

Mathematics for Class XI, Published by NCERT.

গিণত Published by AHSEC.