Clear Concepts with CBSE Class 11 Applied Mathematics Syllabus 2024

Overview: Discover the comprehensive CBSE Class 11 Applied Mathematics Syllabus for 2025. Learn about the new subject, explore detailed topics like Algebra, Calculus, and Statistics, and access practical applications and resources for effective preparation.

CBSE has introduced a new subject to their curriculum named Applied Mathematics.

If you choose the Commerce or Humanities stream after the 10th, you can choose Applied Mathematics as optional. 

This post will walk you through the comprehensive CBSE Class 11 Applied Maths Syllabus so you can get a better picture of what topics are covered in the course. 

Check out the topics and marking scheme for CBSE Class 11 Applied Mathematics Syllabus 2025! 

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CBSE Class 11 Applied Mathematics Marking Scheme 2025

The table below explains the units included in class 11 Applied Mathematics subject.

Unit-Wise Marking Scheme

No.	Units	No. of Periods	Marks
I.	Numbers, Quantification and Numerical Applications	20	09
II.	Algebra	35	10
III.	Mathematical Reasoning	15	06
IV.	Calculus	30	10
V.	Probability	30	10
VI.	Descriptive Statistics	35	12
VII	Basics of Financial Mathematics	55	18
VIII	Coordinate Geometry	20	05
Total		240	80
Internal Assessment		-	20

Download official CBSE Class 11 Applied Maths Syllabus 2025

CBSE Class 11 Applied Mathematics Syllabus 2025

Before you begin your preparation, it is important to know the syllabus for CBSE class 11 applied maths subject. 

Unit I - Numbers, Quantification and Numerical Applications

• Prime Numbers, Encryptions using Prime Numbers
• Binary Numbers
• Complex Numbers (Preliminary idea only)
• Indices, Logarithm and Antilogarithm
• Laws and properties of logarithms
• Simple applications of logarithm and antilogarithm
• Numerical problems on averages, calendar, clock, time, work and distance, mensuration, seating arrangement

Unit II - Algebra 

• Sets 
• Types of sets
• Venn diagram
• De Morgan's laws
• Problem-solving using Venn diagram 
• Relations and types of relations
• Introduction of Sequences, Series
• Arithmetic and Geometric progression
• Relationship between AM and GM
• Basic Concepts of Permutations and Combinations
• Permutations, Circular Permutations, Permutations with restrictions
• Combinations with standard results 

Unit III - Mathematical and Logical Reasoning

• Mathematically acceptable statements
• Connecting words/ phrases in Mathematical statements consolidating the understanding of "if and only if (necessary and sufficient) condition", "implies", "and/or", "implied by", "and", "our", "there exists" and their use through a variety of examples related to real life and Mathematics
• Problems based on logical reasoning (coding-decoding, odd man out, blood relation, syllogism, etc.)

Unit IV - Calculus

• Introducing functions
• Domain and Range of a function
• Types of functions (Polynomial function; Rational function; Composite function; Logarithm function; Exponential function; Modulus function; Greatest Integer function, Signum function)
• Graphical representation of functions
• Concept of limits and continuity of a function
• Instantaneous rates of change
• Differentiation is a process of finding derivative
• Derivatives of algebraic functions using the Chain rule
• Tangent line and equations of tangents

Unit V - Probability

• Random experiment, sample space, events, mutually exclusive events
• Independent and Dependent Events
• Law of Total Probability
• Bayes’ Theorem

Unit VI - Descriptive Statistics

• Types of data (raw data, univariate data, bivariate and multivariate data)
• Data on various scales (nominal, ordinal, interval, and ratio scale)
• Data representation and visualization
• Data interpretation (central tendency, dispersion, deviation, variance, skewness, and kurtosis)
• Percentile rank and quartile rank
• Correlation (Pearson and Spearman method of correlation)
• Applications of descriptive statistics using real-time data

Unit VII - Basics of Financial Mathematics

• Interest and interest rate
• Accumulation with simple and compound interest
• Simple and compound interest rates with equivalency
• The effective rate of interest
• Present value, net present value, and future value
• Annuities, calculating the value of the regular annuity
• Simple applications of regular annuities (up to 3 periods)
• Tax, calculation of tax and simple applications of tax calculation in Goods and service tax, Income Tax
• Bills, tariff rates, fixed charges, surcharges, service charge
• Calculation and interpretation of electricity bills, water supply bills, and other supply bills

(Comparing interest rates on various types of savings; calculating income tax; electricity bills, water bills; and service surcharge using realistic data)

Unit VIII - Coordinate Geometry

• Straight Line
• Circles
• Parabola

(only standard forms and graphical representation on a two-dimensional plane)

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Practical: Use of spreadsheet

Calculating average and interest (simple and compound), creating pictographs, drawing pie charts, and bar graphs, calculating central tendency, visualizing graphs (straight lines, circles, and parabolas using real-time data)

Suggested practical using spreadsheet

1. Plot the graph of functions on Excel; study the nature of function at various points, drawing lines of tangents;
2. Create a budget of income and spending;
3. Create a compare sheet of price and features to buy a product;
4. Prepare the best option plan to buy a product by comparing cost, shipping charges, tax, and other hidden cost;
5. Smart purchasing during sale season;
6. Prepare a report card using scores of the last four exams and compare the performance;
7. Collect the data on weather, price, inflation, and pollution. Sketch different types of graphs.

Understanding the CBSE Class 11 Applied Mathematics syllabus 2025 is pivotal for students to navigate their studies effectively, ensuring they grasp both foundational and advanced concepts in preparation for future academic and real-world applications.

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Key Takeaways:

• Introduction of New Subject: Applied Mathematics is newly introduced for Commerce or Humanities students, emphasizing practical mathematical applications.
• Extensive Topics Covered: The syllabus includes diverse topics such as Algebra, Calculus, Statistics, Probability, Financial Mathematics, and Coordinate Geometry.
• Marking Scheme and Structure: It details a specific marking scheme for each unit, showing the importance of each topic with allocated marks and periods.
• Practical Applications: The syllabus integrates real-world applications like tax calculations, interest rate assessments, and the use of spreadsheets for data analysis.
• Preparation Resources: Students are provided with various resources, including free study materials, specialized books, and links to practice tests to aid their preparation.