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Index

Modulo Arithmetic & Congruence Modulo

Alligation and Mixture

Boats and Streams

Pipes and Cisterns

Races and Games

Matrices

Determinants

Higher Order Derivatives

Application of Derivatives, Increasing /Decreasing Functions, Maxima and Minima

Integration and its Applications

Differential Equations and Modeling

Probability Distributions

Inferential Statistics

Index Numbers and Time Based Data

Linear Programming

CBSE Class 12 Syllabus

All Exams > Commerce > Applied Mathematics for Class 12 > All Notes

All notes of Applied Mathematics for Class 12 for Commerce Exam

Modulo Arithmetic & Congruence Modulo

Modulo Arithmetic

2 pages

Congruence Modulo

2 pages

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Alligation and Mixture

Mixture And Alligation

2 pages

Boats and Streams

Boats and Streams - Important Formulas, Logical Reasoning

1 page

Boats and Streams - Examples (with Solutions), Logical Reasoning

2 pages

Boats and Streams – Tips Tricks and Questions

5 pages

Pipes and Cisterns

Basic Concepts - Pipes and Cisterns

6 pages

Question with Answers: Pipes and Cistern - 1

14 pages

Question with Answers: Pipes and Cistern - 2

7 pages

Races and Games

Races & Games

2 pages

Matrices

Overview: Matrices

9 pages

NCERT Solutions Exercise 3.1: Matrices

5 pages

NCERT Solutions Exercise 3.2: Matrices

30 pages

NCERT Exemplar - Matrices(Part-1)

16 pages

NCERT Exemplar - Matrices(Part-2)

12 pages

NCERT Textbook: Matrices

42 pages

Matrix Operations

10 pages

Transpose and Inverse of a Matrix

7 pages

Operations of Matrix

14 pages

System of Linear Equations

5 pages

Adjoint and Inverse of a Matrix

3 pages

NCERT Solutions Exercise 3.3: Matrices

20 pages

NCERT Solutions Exercise 3.4: Matrices

1 page

Types of Matrices

7 pages

Determinants

NCERT Solutions: Determinants

3 pages

NCERT Solutions Miscellaneous Exercise: Determinants

22 pages

NCERT Solutions Exercise 4.3: Determinants

5 pages

NCERT Solutions Exercise 4.3: Determinants

1 page

NCERT Solutions Exercise 4.4: Determinants

21 pages

Types of Determinants and Their Properties

4 pages

Area of A Triangle using Determinants

1 page

NCERT Solutions Exercise 4.5: Determinants

4 pages

NCERT Textbook: Determinants

28 pages

Important Formulas: Determinants

4 pages

Higher Order Derivatives

Implicit Differentiation

21 pages

Higher Order Derivatives and Practice Problems

8 pages

Second Order Derivative

2 pages

Differentiability of a Function and Rate of Change

10 pages

Derivatives of a function in parametric form

2 pages

Application of Derivatives, Increasing /Decreasing Functions, Maxima and Minima

Tangent and Normal

20 pages

Rate of Change of Quantities

3 pages

Tangents at the Origin

12 pages

Calculus and Approximation

3 pages

Maxima and Minima of a Function

28 pages

Increasing and Decreasing Functions & Monotonicity

36 pages

Important Formulas: Application of Derivatives Formulas

12 pages

Integration and its Applications

Introduction to Integrals

4 pages

Integration of Irrational Functions

2 pages

Integrals of Some Functions

15 pages

Definite Integration and Its Properties

5 pages

Area of Bounded Region

3 pages

Integration by Substitution & Trigonometric Identities

3 pages

Definite Integral As Limit Of A Sum And Estimate Of Definite Integrals

6 pages

Integration by Partial Fractions

9 pages

Integration by Parts

1 page

Important Formulas: Integration by Reduction Formula

4 pages

Euler's Substitutions

1 page

Differential Equations and Modeling

NCERT Textbook: Differential Equations

38 pages

NCERT Solutions Differential Equations

5 pages

NCERT Solutions - Exercise 9.2: Differential Equations

2 pages

Differential Equations

6 pages

NCERT Exemplar: Differential Equations

23 pages

Important Formulas: Differential Equations

7 pages

Probability Distributions

Binomial Distribution

3 pages

Notes: Binomial Distribution

4 pages

Mean & Variance of Random Variables

4 pages

Mathematical Expectation

3 pages

Examples: Poison Distribution

1 page

Poison Distribution

4 pages

Normal Distribution

3 pages

Probability Distribution

8 pages

Examples: Mean & Variance of Random Variables

6 pages

Standard Nornam Distribution

10 pages

Inferential Statistics

T-Test

3 pages

Population & Sample

3 pages

Parameter & Statistics

2 pages

Hypothesis Testing

9 pages

Representative & Non-Representative Sample

2 pages

Index Numbers and Time Based Data

PPT - Analysis of Time Series,

45 pages

Meaning, Components and Models - Time Series

5 pages

Analysis of Time Series, Business Mathematics and Statistics

3 pages

PPT- Business Cycles

25 pages

Basic Secular Long Time Series, Business Mathematics and Statistics

3 pages

Seasonal Variations, Business Mathematics and Statistics

1 page

Business Cycles/Cyclical Movement, Business Mathematics and Statistics

7 pages

Erratic/Irregular Fluctuations, Business Mathematics and Statistics

1 page

Mathematical statement of the composition of Time Series, Business Mathematics and Statistics

1 page

Free Hand Curve Method, Business Mathematics and Statistics

5 pages

Method of Semi Averages, Business Mathematics and Statistics

1 page

Method of Least Squares, Business Mathematics and Statistics

11 pages

Measurement of seasonal Variations, Business Mathematics and Statistics

1 page

Method of Simple Average, Business Mathematics and Statistics

1 page

Ratio-to-moving average method, Business Mathematics and Statistics

2 pages

Ratio-to-Trend Method, Business Mathematics and Statistics

2 pages

Link Relatives Method, Business Mathematics and Statistics

1 page

Miscellaneous Topics - Time series, Business Mathematics and Statistics

2 pages

Linear Programming

NCERT Textbook - Linear Programming

12 pages

NCERT Solutions - Linear Programming

31 pages

NCERT Exemplar - Linear Programming

23 pages

Linear Programming

9 pages

CBSE Class 12 Syllabus

Syllabus: Applied Mathematics for Class 12

10 pages

Applied Mathematics for Class 12

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Revision notes for Applied Mathematics for Class 12 2025 is part of Commerce exam preparation. The notes have been prepared according to the Commerce exam syllabus. The revision notes, tests & MCQs are made for Commerce 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.

Notes of Applied Mathematics for Class 12 in English & Hindi are available as part of Commerce exam. Download more important topics, notes, lectures and mock test series for Commerce Exam by signing up for free.

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