AHSEC Class 11 Mathematics Syllabus: Complete Details

The AHSEC Class 11 Mathematics Syllabus is designed to develop students’ logical reasoning, analytical thinking and problem-solving abilities. The syllabus connects theoretical mathematical concepts with practical applications and encourages students to understand mathematics through conceptual clarity, creative inquiry and experiential learning.

The Class 11 Mathematics course covers Sets and Functions, Algebra, Coordinate Geometry, Calculus, Statistics and Probability, along with Infinite Series and Mathematical Modelling under the Appendix. The subject also includes 20 marks for Project Work.

AHSEC Class 11 Mathematics Syllabus Overview

Particulars	Details
Class	XI
Subject	Mathematics
Theory Marks	80
Project Marks	20
Total Marks	100
Time Duration	3 Hours
Theory Periods	180
Project Periods	20
Total Periods	200
Official Notification	Click Here

The official syllabus specifies one paper of 100 marks with a three-hour examination, with the evaluation scheme divided into 80 marks Theory and 20 marks Project Work.

AHSEC Class 11 Mathematics Unit-wise Syllabus

Unit	Topic	Marks
Unit I	Sets and Functions	18
Unit II	Algebra	22
Unit III	Coordinate Geometry	20
Unit IV	Calculus	10
Unit V	Statistics and Probability	10
Appendix	1. Infinite Series2. Mathematical Modelling	—
Project Work	Project Work	20
Total		100

Also Read: AHSEC Class 11 Education Syllabus: Complete Details

Chapter-wise Details

Unit I: Sets and Functions

This unit carries 18 marks and includes Sets, Relations and Functions, and Trigonometric Functions.

1. Sets

Sets and their representations
Empty Set
Finite and Infinite Sets
Equal Sets
Subsets
Subsets of the set of real numbers, especially intervals
Universal Set
Venn Diagrams
Union and Intersection of Sets
Difference of Sets
Complement of a Set

2. Relations and Functions

Cartesian Product of Sets
Number of Elements in the Cartesian Product of Two Finite Sets
Cartesian Product of Real Numbers
Definition of Relation
Pictorial Diagrams
Domain, Co-domain and Range
Function as a Special Kind of Relation
Pictorial Representation of a Function
Real-valued Functions of a Real Variable
Constant Function
Identity Function
Polynomial Function
Rational Function
Modulus Function
Signum Function
Greatest Integer Function
Graphs of Functions
Sum, Difference, Product and Quotient of Functions

3. Trigonometric Functions

Positive and Negative Angles
Measurement of Angles in Radians and Degrees
Conversion between Radian and Degree Measures
Trigonometric Functions using Unit Circle
Identity \(\sin^2x+\cos^2x=1\)
Signs of Trigonometric Functions
Graphs of Trigonometric Functions
Compound Angles
Trigonometric Identities

Unit II: Algebra

Algebra carries 22 marks and includes the following chapters:

1. Complex Numbers and Quadratic Equations

Need for Complex Numbers
Algebraic Properties of Complex Numbers
Modulus of a Complex Number
Conjugate of a Complex Number
Argand Plane
Polar Representation

2. Linear Inequalities

Linear Inequalities
Algebraic Solutions of Linear Inequalities in One Variable
Representation on the Number Line

3. Permutations and Combinations

Fundamental Principle of Counting
Factorial \(n\)
Permutations
Combinations
Derivation of Formulae
Relationship between Permutations and Combinations
Simple Applications

4. Binomial Theorem

Binomial Theorem for Positive Integral Indices
Statement and Proof
Pascal’s Triangle
Simple Applications

5. Sequence and Series

Sequence and Series
Geometric Progression (G.P.)
General Term of a G.P.
Sum of \(n\) Terms of a G.P.
Geometric Mean (G.M.)
Relation between A.M. and G.M.

Unit III: Coordinate Geometry

Coordinate Geometry carries 20 marks and covers Straight Lines, Conic Sections and Three-dimensional Geometry.

1. Straight Lines

Revision of Two-dimensional Geometry
Slope of a Line
Angle between Two Lines
Various Forms of Equation of a Line
Lines Parallel to the Axes
Point-Slope Form
Slope-Intercept Form
Two-Point Form
Intercept Form
General Equation of a Line
Distance of a Point from a Line

2. Conic Sections

Section of a Cone
Circle
Ellipse
Parabola
Hyperbola
Point as a Degenerated Conic
Straight Line as a Degenerated Conic
Pair of Intersecting Lines
Standard Equations of Parabola, Ellipse and Hyperbola
Simple Properties of Conic Sections
Standard Equation of a Circle

3. Introduction to Three-dimensional Geometry

Coordinate Axes in Three Dimensions
Coordinate Planes
Coordinates of a Point
Distance between Two Points

Unit IV: Calculus

The Calculus unit carries 10 marks.

Limits and Derivatives
Intuitive Idea of Limits
Limits of Polynomial Functions
Limits of Rational Functions
Limits of Trigonometric Functions
Limits of Exponential Functions
Limits of Logarithmic Functions
Definition of Derivative
Derivative and Slope of Tangent to a Curve
Derivative of Sum of Functions
Derivative of Difference of Functions
Derivative of Product of Functions
Derivative of Quotient of Functions
Derivatives of Polynomial Functions
Derivatives of Trigonometric Functions

Unit V: Statistics and Probability

This unit carries 10 marks and is divided into Statistics and Probability.

1. Statistics

Measures of Dispersion
Range
Mean Deviation
Variance
Standard Deviation
Ungrouped Data
Grouped Data

2. Probability

Events
Occurrence of Events
‘Not’, ‘And’ and ‘Or’ Events
Exhaustive Events
Mutually Exclusive Events
Axiomatic or Set-theoretic Probability
Probability of an Event
Probability of ‘Not’, ‘And’ and ‘Or’ Events

Appendix

The syllabus also includes two additional areas under the Appendix:

1. Infinite Series

Binomial Theorem for Any Index
Infinite Geometric Series
Exponential Series
Logarithmic Series

2. Mathematical Modelling

Mathematical Modelling concepts developed up to Class X
Modelling Real-life Problems
Environmental and Travel-related Problems
Connecting Mathematics with Other Subjects
Formulating a Mathematical Model
Finding Solutions
Interpreting Solutions in the Problem Situation
Evaluating the Model

Project Work

Project Work carries 20 marks. The objective is to help students apply mathematical concepts to practical situations, encourage exploration and creativity, and develop logical presentation and communication skills.

The project assessment is based on:

Criteria	Marks
Relevance of the Topic	3
Mathematical Content and Understanding	6
Presentation and Creativity	3
Viva-Voce	8
Total	20

Important Topics for AHSEC Class 11 Mathematics Preparation

Students should focus on:

Sets and Venn Diagrams
Relations and Functions
Trigonometric Functions and Identities
Complex Numbers
Quadratic Equations
Linear Inequalities
Permutations and Combinations
Binomial Theorem
Sequence and Series
Straight Lines
Conic Sections
Three-dimensional Geometry
Limits and Derivatives
Statistics
Probability
Infinite Series
Mathematical Modelling

Study Tips for AHSEC Class 11 Mathematics

Understand the concept before memorising formulas.
Maintain a separate formula sheet for quick revision.
Practise numerical problems regularly.
Give special attention to Algebra and Coordinate Geometry, which carry higher marks.
Practise Trigonometric identities and their applications repeatedly.
Solve problems based on Permutations and Combinations, Binomial Theorem and Progressions.
Practise graphs and equations in Coordinate Geometry.
Build a strong understanding of Limits and Derivatives before moving to more advanced Calculus.
Revise Statistics and Probability through regular problem-solving.
Complete the Project Work carefully and prepare for the Viva-Voce.

Conclusion

The AHSEC Class 11 Mathematics Syllabus provides a strong foundation in mathematical reasoning, algebraic thinking, geometry, calculus, statistics and probability. The syllabus includes five main units, along with Infinite Series and Mathematical Modelling in the Appendix and a separate 20-mark Project Work component.

Students should focus on conceptual clarity, regular practice and logical problem-solving. Consistent revision and practice of important formulas and numerical problems will help students prepare effectively for the Class 11 Mathematics examination.