If you are a student of Class 11th or 12th who has opted for Applied Mathematics, then here’s an important update for you. CBSE (Central Board of Secondary Education) has officially released the latest syllabus for Applied Mathematics for the academic year 2025-26. This syllabus is carefully designed to provide students with practical knowledge of Mathematics that they can use in their everyday life, especially in fields like commerce, social sciences, and management.
Download the complete syllabus here for a detailed view and clear understanding of all topics: [Download Syllabus]
Let’s go through the updated syllabus for both Class 11th and 12th in detail, covering every unit, topic, and marking scheme.
Applied Mathematics – An Overview
Applied Mathematics is introduced for students of non-science streams, aiming to provide them with the ability to apply mathematical techniques in solving real-world problems. It focuses on concepts that are directly applicable to daily life situations, business, finance, data handling, and logical reasoning.
Class 11th Applied Mathematics Syllabus 2025-26 – Detailed Breakdown
The syllabus for Class 11 Applied Mathematics is divided into eight major units. The theory paper carries 80 marks, while the internal assessment carries 20 marks, making it a total of 100 marks.
Unit 1: Numbers, Quantification and Numerical Applications
This unit includes:
- Concepts of prime numbers, divisibility rules, HCF and LCM
- Logarithms and exponents
- Percentage, ratios, and proportion
- Averages, mixtures, and alligation
- Time, work, speed, and distance problems
- Mensuration formulas and applications
- Solving numerical problems using shortcuts and logic
- Data interpretation based on tables, graphs, charts
Unit 2: Algebra
Topics included in this unit are:
- Sets and their operations
- Relations and different types of relations
- Functions and their types
- Sequence and series
- Arithmetic Progression (A.P)
- Geometric Progression (G.P)
Unit 3: Mathematical Reasoning
Students will learn:
- Basics of statements
- Truth tables
- Logical connectives like AND, OR, IF, ONLY IF
- Validating mathematical statements
Unit 4: Calculus
This unit is very important for understanding changing quantities and their relations. It covers:
- Basic concepts of functions
- Limits and continuity
- Derivatives by first principle and standard rules
- Applications of derivatives in solving real problems
Unit 5: Probability
Topics included:
- Basic concepts and terminology of probability
- Addition theorem
- Conditional probability
Unit 6: Descriptive Statistics
Students will be taught:
- Basics of statistics
- Measures of central tendency like mean, median, and mode
- Measures of dispersion like range, variance, and standard deviation
Unit 7: Basics of Financial Mathematics
This unit includes:
- Interest and annuities
- Shares and dividends
- Taxation, including GST and Income Tax
- Bills and cash discount calculations
- Linear inequalities and linear programming
Unit 8: Coordinate Geometry
Students will learn about:
- Straight line and its equations
- Circle and its properties
- Parabola, ellipse, and hyperbola
Internal Assessment (20 Marks)
- Project Work (10 Marks)
- Viva Voce based on project work (5 Marks)
- Periodic Test / Class Test / Assignment (5 Marks)
Class 12th Applied Mathematics Syllabus 2025-26 – Complete Details
Class 12 syllabus is more advanced and continues to build on the concepts learned in Class 11. The theory exam carries 80 marks, while internal assessment is for 20 marks.
Unit 1: Numbers, Quantification and Numerical Applications
Topics include:
- Modulo arithmetic
- Congruence relations
Unit 2: Algebra
This unit focuses on:
- Matrices – types and operations
- Determinants – properties and applications
- Solving system of linear equations using matrices and determinants
Unit 3: Calculus
Students will learn:
- Differentiation and its methods
- Applications of derivatives in real-life situations
- Indefinite integrals and techniques of integration
- Definite integrals and their applications
- Applications of integrals in finding areas and volumes
Unit 4: Probability Distributions
This unit includes:
- Random variables and probability distributions
- Binomial distribution
- Normal distribution
Unit 5: Inferential Statistics
Topics include:
- Population and sample
- Parameter and statistic
- Hypothesis testing
- Sampling methods
Unit 6: Index Numbers and Time-Based Data
Students will study:
- Index numbers – definition, types, and uses
- Time series – components and trend analysis
Unit 7: Financial Mathematics
This unit covers:
- Applications of compound interest
- Loans and EMI calculations
- Sinking fund
- Bonds and securities
- Depreciation and appreciation
Unit 8: Linear Programming
Students will learn about:
- Graphical method of solving Linear Programming Problems (LPP)
- Application-based questions
Internal Assessment (20 Marks)
- Project Work (10 Marks)
- Viva Voce based on project work (5 Marks)
- Periodic Test / Class Test / Assignment (5 Marks)
Why is This Syllabus Important?
The updated syllabus of Applied Mathematics by CBSE for Class 11th and 12th (2025-26 session) is designed to give students a more practical edge. It helps students in developing analytical skills, decision-making ability, and mathematical reasoning that will help them in higher education, competitive exams, and even in daily life scenarios.
This syllabus is perfect for students who want to build a strong foundation in mathematics without going too deep into theoretical or complex scientific concepts.
Final Words
Applied Mathematics is a future-ready subject that opens many doors for students from commerce and humanities streams. The CBSE Applied Mathematics syllabus for Class 11 and Class 12 for the session 2025-26 focuses on practical usage, logical reasoning, and mathematical tools that will support students in their careers.
Download the complete syllabus here for a detailed view: [Download Syllabus]
Stay updated, study smart, and make the most out of this practical subject to secure better opportunities in your academic and professional life!
