CBSE Class 11 Applied Maths Syllabus 2025-26: Check Course Structure and Subject-wise weightage, Download PDF

I

Numbers, Quantification and Numerical Applications

09

II

Algebra

15

III

Mathematical Reasoning

06

IV

Calculus

10

V

Probability

08

VI

Descriptive Statistics

12

VII

Basics of Financial Mathematics

15

VIII

Coordinate Geometry

05

Total

80

Internal Assessment

20

UNIT – 1 NUMBERS, QUANTIFICATION AND NUMERICAL APPLICATIONS

Numbers & Quantification

1.1

Binary Numbers

● Express decimal numbers in binary system

● Express binary numbers in decimal system

● Definition of number system (decimal and binary)

● Conversion from decimal to binary system and vice - versa

1.2

Indices, Logarithm and Antilogarithm

● Relate indices and logarithm /antilogarithm

● Find logarithm and antilogarithms of given Number

● Applications of rules of indices

● Introduction of logarithm and antilogarithm

● Common and Natural logarithm

1.3

Laws and properties of logarithms

● Enlist the laws and properties of logarithms

● Apply laws of logarithm

● Fundamental laws of logarithm

1.4

Simple applications of logarithm and Antilogarithm

● Use logarithm in different applications

● Express the problem in the form of an equation and apply logarithm/ antilogarithm

Numerical Applications

1.5

Clock

● Evaluate the angular value of a minute

● Calculate the angle formed between two hands of clock at given time

● Calculate the time for which hands of clock Meet

● Number of rotations of minute hand / hour hand of a clock in a day

● Number of times minute hand and hour hand coincides in a day

1.6

Calendar

● Determine Odd days in a month/ year/ century

● Decode the day for the given date

● Definition of odd days

● Odd days in a year/ century.

● Day corresponding to a given date

1.7

Time, Work and Distance

● Establish the relationship between work and time

● Compare the work done by the individual / group w.r.t. time

● Calculate the time taken/ distance covered/ Work done from the given data

● Basic concept of time and work

● Problems on time taken / distance covered / work done

1.8

Seating arrangement

● Create suitable seating plan/ draft as per given conditions (Linear/circular)

● Locate the position of a person in a seating arrangement

● Linear and circular seating arrangement

● Position of a person in a seating arrangement

UNIT – 2 ALGEBRA

Sets

2.1

Introduction to sets – definition

● Define set as well-defined collection of objects

● Definition of a Set

● Examples and Non-examples of Set

2.2

Representation of sets

● Represent a set in Roster form and Set builder form

● Write elements of a set in Set Builder form and Roster Form

● Convert a set given in Roster form into Set builder form and vice-versa

2.3

Types of sets and their notations

Identify different types of sets on the basis of number of elements in the set Differentiate between equal set and equivalence set

Types of Sets: Finite Set, Infinite Set, Empty Set, Singleton Set

2.4

Subsets

Enlist all subsets of a set Find number of subsets of a given set Find number of elements of a power set

Subset of a given set Familiarity with terms like Superset, Improper subset, Universal set, Power set

2.5

Intervals

Express subset of real numbers as intervals

Open interval, closed interval, semi open interval and semi closed interval

2.6

Venn diagrams

Apply the concept of Venn diagram to understand the relationship between sets Solve problems using Venn diagram

Venn diagrams as the pictorial representation of relationship between sets Practical Problems based on Venn Diagrams

2.7

Operations on sets

Perform operations on sets to solve practical problems

Operations on sets includei) Union of setsii) Intersection of setsiii) Difference of setsiv) Complement of a setv) De Morgan’s Laws

Relations

2.8

Ordered pairs Cartesian product of two sets

Explain the significance of specific arrangement of elements in a pair Write Cartesian product of two sets Find the number of elements in a Cartesian product of two sets

Ordered pair, order of elements in an ordered pair and equality of ordered pairs Cartesian product of two non-empty sets

2.9

Relations

Express relation as a subset of Cartesian product Find domain and range of a relation

Definition of Relation, examples pertaining to relations in the real number system

Sequences and Series

2.10

Sequence and Series

Differentiate between sequence and series

Sequence: 𝑎1, 𝑎2, 𝑎3, … , 𝑎𝑛 Series: 𝑎1 + 𝑎2 + 𝑎3 + … + 𝑎𝑛

2.11

Arithmetic Progression

● Identify Arithmetic Progression (AP)

● Establish the formulae of finding 𝑛𝑡ℎ term and sum of n terms

● Solve application problems based on AP Find arithmetic mean (AM) of two positive numbers

General term of A P: 𝑡𝑛 = 𝑎 + (𝑛 − 1)𝑑 Sum of 𝑛 terms of A P: 𝑆𝑛 = 𝑛 / 2 [2𝑎 + (𝑛 − 1)𝑑] AM of 𝑎 and 𝑏 = (𝑎+𝑏)/2

2.12

Geometric Progression

Identify Geometric Progression (GP)

● Derive the 𝑛𝑡ℎ term and sum of n terms of a given GP

● Solve problems based on applications of GP

● Find geometric mean (GM) of two positive numbers

● Solve problems based on relation between AM and GM

General term of GP: 𝑡𝑛 = 𝑎 𝑟^(𝑛−1) Sum of 𝑛 terms of GP: 𝑆𝑛 = 𝑎(𝑟^𝑛 − 1)/(𝑟 − 1) Sum of infinite terms of GP = 𝑎 / (1−𝑟), where −1 < 𝑟 < 1 Geometric mean of 𝑎 and 𝑏 = √𝑎𝑏 For two positive numbers a and b, AM ≥GM i.e., (𝑎+𝑏)/2 ≥ √𝑎𝑏

2.13

Applications of AP and GP

● Apply appropriate formulas of AP and GP to solve application problems

Applications based on

● Economy Stimulation

● The Virus spread

Permutations and Combinations

2.14

Factorial

● Define factorial of a number

● Calculate factorial of a number

● Definition of factorial: 𝑛! = 𝑛(𝑛 − 1)(𝑛 − 2) … 3.2.1

● Usage of factorial in counting principles

2.15

Fundamental Principle of Counting

● Appreciate how to count without counting

● Fundamental Principle of Addition

● Fundamental Principle of Multiplication

2.16

Permutations

● Define permutation

● Apply the concept of permutation to solve simple problems

● Permutation as arrangement of objects in a definite order taken some or all at a time. Theorems under different conditions resulting in nPr = n!/(n-r)! or n^r or n!/(n1!n2!...nk!) arrangements.

2.17

Combinations

● Define combination

● Differentiate between permutation and combination

● Apply the formula of combination to solve the related problems

● The number of combinations of n different objects taken r at a time is given by nCr = n!/(r!(n-r)!)Some results on Combinations: nC_n = 1, nC_0 = 1 nC_a = nC_b or a = b or a + b = n nCr = nC(n-r) nCr + nC(r-1) = (n+1)Cr

UNIT -3 MATHEMATICAL REASONING

3.1

Logical reasoning

● Solve logical problems involving odd man out, syllogism, blood relation and coding decoding

● Odd man out

● Syllogism

● Blood relations

● Coding Decoding