CBSE Class 11 Applied Mathematics Syllabus 2026-27

Applied Mathematics

Subject Code – 241

Classes XI

Secondary School Education prepares students to explore future career options after graduating from schools. Mathematics is an important subject that helps students to choose various fields of their choices. Mathematics is widely used in higher studies as an allied subject in the field of Economics, Commerce, Social Sciences and many others. It has been observed that the syllabus of Mathematics in senior secondary grades meant for science subjects may not be appropriate for the students who wish to pursue Commerce or Social Science-based subjects in university education. By keeping this in mind, one more elective course in the mathematics syllabus is developed for Senior Secondary classes with an aim to provide students relevant experience in Mathematics that can be used in fields other than Physical Sciences.

This course is designed to develop substantial mathematical skills and methods needed in other subject areas. Topics covered in two years aim to enable students to use mathematical knowledge in the field of business, economic and social sciences. It aims to promote appreciation of mathematical power and simplicity for its countless applications in diverse fields. The course continues to develop mathematical language and symbolism to communicate and relate everyday experiences mathematically. In addition, it reinforces the logical reasoning skills of formulating and validating mathematical arguments, framing examples, finding counterexamples. It encourages students to engage in mathematical investigations and to build connections within mathematical topics and with other disciplines. The course prepares students to use algebraic methods as a means of representation and as a problem-solving tool. It also enables students to interpret two-dimensional geometrical figures using algebra and to further deduce properties of geometrical figures in a coordinate system. The course content will help students to develop a sound understanding of descriptive and inferential statistics which they can use to describe and analyze a given set of data and to further make meaningful inferences out of it. Data based case studies from the field of business, economics, psychology, education, biology and census data will be used to appreciate the power of data in contemporary society.

It is expected that the subject is taught connecting concepts to the applications in various fields. The objectives of the course areas are as follows:

Course Objectives:

• To develop an understanding of essential mathematical and statistical concepts that are relevant to areas such as business, economic and social sciences.
• To enable students to interpret real-life situations into structured numerical, algebraic and graphical representations for analysis and decision making.
• To develop ability to organise, analyse and interpret data, and to draw meaningful conclusions in practical contexts.
• To strengthen logical thinking and reasoning by engaging students in problem-solving situations that require nuance understanding of qualification and relative change.
• To develop clarity in mathematical communication, including the ability to justify solutions, examine assumptions and validate results.

To help students recognise connections between mathematics and other disciplines, and to use these connections meaningfully.

Grade XI (2026-27)

Number of Paper: 1

Time: 3 Hours

Max Marks: 80

No. Units No. of Marks

Periods

ı Numbers, Quantification and 30 10

Numerical Applications

Ш Algebra 50 18

Ш Calculus 40 12

IV Combinatorics and Probability 30 10

V Descriptive Statistics 30 10

VI Basics of Financial Mathematics 45 15

VII Coordinate Geometry 15 05

240 80

Internal Assessment 20

CLASS-XI

SI. Unit and Details of content Learning Outcomes

No. Chapter UNIT – 1 NUMBERS, QUANTIFICATION AND NUMERICAL APPLICATIONS Numbers & Quantification 1.1 Numbers in Introduction to Numbers in Students will be able to

Indian Indian Knowledge System Gain acquaintance with

Knowledge Conversion of decimal traditional way of expressing

System and numbers to binary system | numbers

Binary and vice-versa and its Understand the relation between

Numbers applications. decimal and binary number

system.

Able to convert from one system

to another.

Understand the application of

Binary number system in

programming, coding, machine

learning etc.

1.2 Indices, Indices and its properties Students will be able to

Logarithm and Common and Natural Apply rules of indices

Antilogarithm logarithm define logarithms and

Laws of logarithms antilogarithms as inverse

Logarithm and exponential as operations

inverse operations distinguish between common

Procedure of finding logarithms and natural

logarithm and antilogarithms logarithms

of given number apply logarithmic and

Applications of logarithms antilogarithmic techniques to

simplify complex calculations,

and solve practical problems

Numbers in day-to-day Life 1.3 Clocks Evaluate the angular value of Students will be able to

a minute Calculate the angular

Measure of angle formed displacement of hour and minute

between two hands of clock hands

at given time Find the exact time when clock

Calculation of the time for hands coincide, are opposite, or

which hands of clock meet form a specific angle

Understand the practical utility of

calendar

1.4 Calendar Odd days in a month/ year/ Students will be able to

century Calculate odd days in any given

Decode the day for the given month, year, or century

date Find the day of the week for any

given date

1.5 Time and Relationship between work Students will be able to

Work and time Solve time-work problems

Comparison of the work done Represent time-work relationship

by the individual / group graphically

w.r.t. time 1.6 Speed, • The time taken/ distance Students will be able to

Distance and covered from the given data. Represent distance-time

Time relationship graphically

1.7 Seating Creation of seating plan/ Students will be able to

arrangement draft as per given conditions Design and create seating plans

(Linear/circular). in linear and circular

Locating the position of a arrangements

person in a seating • Determine the exact position of

arrangement. any person in a seating

arrangement by analysing the

given conditions and applying

logical reasoning

Apply seating arrangement

concepts to real-life situations

UNIT - 2 ALGEBRA Sets 2.1 Introduction Set as well-defined Students will be able to

to Sets collection of objects. understand the systematic

Sets and Representation of a set development of set theory.

their in Roster form and Set • represent sets accurately using

representati builder form both roster form and set-builder

on Different types of sets form on the basis of number

• of elements in the set

Differentiate between methods of expressing the same

equal set set. and equivalent set 2.2 Subsets, Subsets Students will be able to

Intervals as Power set and its list all possible subsets of a given set,

subsets elements calculate the total number of subsets

Universal Set justify why the empty set is a subset

Subset of real numbers of every set through logical reasoning.

as intervals define power sets, construct the

power set of a given set by identifying

all its subsets

Get an idea about the special sets i.e.,

intervals which have vide utility in the

study of analysis.

2.3 Venn Concept of Venn Students will be able to

Diagrams and diagram to understand Use set operations to solve problems

Operations on the relationship in various fields, such as probability,

Sets between sets and data analysis.

Problems using Venn Develop problem-solving skills using

diagram set theory and Venn diagrams.