Free Video Lectures for ICSE Mathematics Class 12
Learning complex mathematical concepts becomes significantly easier when you can watch step-by-step explanations from expert educators. The video lectures available for ICSE Mathematics Class 12 cover every major topic - from Relations and Functions to Probability - with clear worked examples and intuitive visual explanations. Whether you're encountering a tricky integral or need a refresher on matrix operations, these videos break down each concept at just the right pace. Students who supplement their reading with video lessons consistently report stronger conceptual clarity before exams.
Chapter 1 - Relations and Functions
| Detailed Video: Functions 18:31 min |  |
| Detailed Video: Types of Relations 22:47 min | |
| Detailed Video: Basics of Relations & Functions 24:41 min | |
| Fun Video: What are Functions? 06:26 min | |
| Detailed Video: Types of Functions 23:31 min | |
| Detailed Video: Equivalence Class 04:36 min | |
| Composite Function & Inverse of a Function - Exercise 1.3 24:00 min | |
| Detailed Video: Binary Operations 26:26 min | |
| Types of Relations: Reflexive Symmetric Transitive & Equivalence 16:24 min | |
| Fun Video: Types of Functions (Injective, Surjective & Bijective) 17:15 min | |
| Examples: Types of Functions 11:56 min | |
| Invertible Functions 11:09 min | |
| Theorems: Composition of Functions 08:43 min | |
| Commutative & Associative Properties: Binary Operations 10:45 min | |
| Composition of Functions 07:07 min | |
| Examples: Binary Operations 10:45 min | |
| Relations and Functions Examples (NCERT) (Part -1) 09:11 min | |
| Relations and Functions Examples (NCERT) (Part - 2) 09:10 min | |
| Relations and Functions Examples (NCERT) (Part -3) 07:59 min | |
| Equivalence Class 12:03 min | |
Chapter 2 - Inverse Trigonometric Functions
| Basic Concepts of Inverse Trigonometric Functions 06:54 min | |
| Properties of Inverse Trigonometric Functions 12:36 min | |
| Examples: Inverse Trigonometric Functions 11:05 min | |
| Examples: Finding Principal Values 07:47 min | |
Chapter 3 - Matrices
| Fun Video: Introduction to Matrices 04:41 min | |
| Properties of Matrix Multiplication 06:22 min | |
| What are Matrices? 03:03 min | |
| Multiplication of a Matrix by a Scalar 03:34 min | |
| Equality of Matrices 03:45 min | |
| Addition of Matrices 04:11 min | |
| Subtraction of Matrices 03:24 min | |
| Skew Symmetric Matrices 05:16 min | |
| Invertible Matrices 04:27 min | |
| Elementary Operations (Transformation) of a Matrix 05:29 min | |
| Finding Inverse of Matrix using Elementary Operations 07:45 min | |
| Transpose of a Matrix - Matrices 03:34 min | |
| Symmetric Matrices 06:48 min | |
| Examples : Symmetric and Skew Symmetric Matrices 09:42 min | |
| Examples : Finding Inverse of 2x2 Matrices 04:12 min | |
| Examples : Transpose of matrices 08:30 min | |
| Examples : Finding Inverse of 3x3 Matrices 13:13 min | |
| Types of Matrices: Part 1 02:12 min | |
| Identity Matrix 05:49 min | |
| Examples : Multiplication of a matrix by a scalar 09:26 min | |
| Multiplication of Matrices : Part 1 05:31 min | |
| Multiplication of Matrices : Part 2 05:19 min | |
| Multiplication of Matrices : Part 3 (Non Commutativity of Multiplication of Matrices) 03:36 min | |
| Examples : Multiplication of matrices : Part 1 14:59 min | |
| Examples : Multiplication of matrices : Part 2 13:45 min | |
| Order of a Matrix and some important terms 04:29 min | |
| Properties of Matrix Addition 13:19 min | |
| Properties of Scalar Multiplication 12:52 min | |
Topic-wise Math Videos to Strengthen Core Concepts
Structured topic-wise video lessons make it easy to zero in on the areas you find most challenging without having to sift through an entire textbook chapter. Coverage spans key Class 12 Mathematics units, including:
- Continuity and Differentiability - understanding limits, chain rule, and logarithmic differentiation
- Application of Derivatives - tangents, normals, maxima, minima, and rate of change
- Definite and Indefinite Integrals - substitution, partial fractions, and integration by parts
- Vectors and Three-Dimensional Geometry - dot product, cross product, and equations of lines and planes
- Differential Equations - variable separable, homogeneous, and linear forms
Having dedicated videos for each topic means you can revisit specific lessons right before your ICSE board exam without wasting time.
Chapter 4 - Determinants
| What is Determinant of a Matrix? 01:33 min | |
| Calculating Determinant for a 3x3 Matrix 05:03 min | |
| What are Minors and Cofactors? 04:02 min | |
| How to Calculate the Adjoint of a matrix? 03:26 min | |
| Finding Area of a Triangle using Determinants (includes example) 06:26 min | |
| Theorems related to Adjoint of a Matrix and Inverse of Matrix 15:26 min | |
| Minors and Cofactors : Example 03:28 min | |
| Examples : Based on Properties of Determinants 12:27 min | |
| Examples : Based on Properties of Determinants 13:43 min | |
| Introduction to Solution of System of Linear Equations using Inverse of a Matrix 09:36 min | |
| Calculating Determinant for a 2x2 Matrix 03:20 min | |
| Finding Adjoint of a 3x3 Matrix 03:52 min | |
| What are Singular and Non Singular Matrices? 02:14 min | |
| Finding Inverse of a Matrix using Adjoint (2x2 matrix) 03:44 min | |
| Finding Inverse of a Matrix using Adjoint of 3x3 Matrix 05:01 min | |
| Solving a system of Linear Equations Using Inverse of a Matrix Part 1 04:04 min | |
| Solving a system of Linear Equations Using Inverse of a Matrix Part 2 04:16 min | |
Chapter 5 - Continuity and Differentiability
| Derivatives of Composite Functions (Using the Chain Rule) 09:17 min | |
| Derivatives of Trigonometric Functions 16:42 min | |
| Video: Continuity of a Function 08:28 min | |
| Algebra of Continuous Functions 10:24 min | |
| Proof of theorem stating Differentiability implies Continuity 11:40 min | |
| Differentiability of a Function 07:12 min | |
| Observations Related to Logarithmic and Exponential Functions 01:55 min | |
| Fun Video: Introduction to Logarithms 03:34 min | |
| Examples: Exponential and Logarithmic Differentiation 12:18 min | |
| Examples: Derivatives of Functions in Parametric Form 14:09 min | |
| Second Order Derivatives 04:13 min | |
| Examples : Derivatives of Composite Functions (Using the Chain Rule) 08:30 min | |
| Logarithmic and Exponential Functions 09:33 min | |
| Rules of Logarithmic Functions 04:31 min | |
| Derivatives of Functions in Parametric Form 05:35 min | |
| Examples: Second Order Derivatives 14:55 min | |
| Mean Value Theorem 06:37 min | |
| Rolle's Theorem 07:54 min | |
| The Mean Value Theorem 09:52 min | |
Chapter 6 - Application of Derivatives
| To Calculate Rate of Change of Quantities 04:37 min | |
| Increasing and Decreasing Functions 07:32 min | |
| Examples : Tangents and Normals 13:50 min | |
| Increasing and Decreasing Functions at a Point 05:32 min | |
| Examples : Approximations 08:17 min | |
| Approximations using Differentials 04:25 min | |
| Equations of Tangents and Normals using Differentiation 05:03 min | |
| Examples : Absolute maxima and minima 13:15 min | |
| Maxima and Minima of a Function 13:57 min | |
| Finding maxima and minima Using First Derivative Test (with Example) 09:27 min | |
| Examples: Rate of change of quantities 11:50 min | |
| Finding maxima and Minima Using Second Derivative Test (with Example) 08:15 min | |
| Maximum and Minimum Value of a Function in a Closed Interval 12:27 min | |
Quick Revision Videos for Class 12 Maths Board Exam
As the ICSE Class 12 board exam approaches, time becomes precious and targeted revision is essential. Quick revision video sessions condense the most important formulas, theorems, and problem-solving techniques into compact, focused lessons. Topics like Bayes' Theorem, Binomial Distribution, and properties of Inverse Trigonometric Functions are explained with solved examples so you can consolidate your understanding rapidly. These sessions are particularly useful for reinforcing concepts you've already studied and catching any gaps before the final exam.
Chapter 7 - Integrals
| Properties of Indefinite Integrals 20:20 min | |
| Integration & Physics 10:09 min | |
| Integration as an Inverse Process of Differentiation 06:24 min | |
| Comparison between Differentiation and Integration 14:11 min | |
| Integration using Trigonometric Identities 04:26 min | |
| Fundamental Theorem of Calculus 08:03 min | |
| Video: Integration by Partial Fractions 11:44 min | |
| Integrals involving Exponential Functions 05:13 min | |
| Integration by Parts - Integrals 10:12 min | |
| Integrals of Some More Types 10:33 min | |
| Introduction to Definite Integrals 10:03 min | |
| Evaluation of Definite Integral 05:31 min | |
| Evaluation of Definite Integrals using Substitution method 13:26 min | |
| Properties of Definite Integrals: Part- 1 04:32 min | |
| More Examples : Integration by Substitution 10:28 min | |
| Examples: Indefinite Integrals by inspection 10:52 min | |
| Examples : Integration using Trigonometric Identities 14:56 min | |
| Examples : Integrals of some Particular Functions 13:35 min | |
| Examples : Integration by Partial Fractions 41:07 min | |
| Proof: Integrals of some particular functions 10:06 min | |
| Examples : Integration by Parts 1 13:19 min | |
| Examples : Integration by Parts 2 12:57 min | |
| Examples : Evaluation of Definite Integral 14:41 min | |
| Examples : Evaluation of Definite Integrals using Substitution method 06:19 min | |
| Examples : Solving using Properties of Definite integrals 11:54 min | |
| Integration by Substitution (includes Examples) 10:06 min | |
| Integrals of Some Particular Functions 02:37 min | |
| Definite integrals (part II) 09:16 min | |
| Definite Integrals (area under a curve) (part III) 09:46 min | |
Chapter 8 - Application of Integrals
| Finding Areas Under Simple Curves 06:19 min | |
| Introduction to Area Under the Curve 07:22 min | |
| Finding Area of the Region bounded by a Curve and a Line 06:56 min | |
| Examples : Area bounded by a curve and a line 14:33 min | |
| Example : Area under Simple Curves 06:43 min | |
| Finding Area Between 2 Curves 06:55 min | |
| Finding Area Between 2 Curves 04:09 min | |
| Examples: Area Between 2 Curves 14:42 min | |
Chapter 9 - Differential Equations
| Introduction to Differential Equations (includes Order and Degree of a Differential Equation) 09:38 min | |
| Formation of a Differential Equation whose General Solution is Given 04:48 min | |
| Differential Equations Representing a Family of Curves 07:11 min | |
| Homogeneous Differential Equations and their Solution 07:04 min | |
| Solving Differential Equations by Variables Separable Method 09:06 min | |
| General solution and Particular Solution of a Differential Equation 04:54 min | |
| Linear Differential Equations and their Solution using Integrating Factor 05:37 min | |
| Examples : Particular solutions 10:32 min | |
| Examples : Homogeneous Differential Equations and their Solution 11:10 min | |
| Examples : Linear Differential Equations 12:26 min | |
Video Lectures on NCERT Solutions for Class 12 Mathematics
Many ICSE students also refer to NCERT-based problem sets since they form a strong foundation for board-level mathematics. Video walkthroughs of NCERT solutions - covering chapters like Matrices, Determinants, Integrals, and Linear Programming - show exactly how each answer is derived, step by step. Watching these explanations is far more effective than simply reading a solution, because you can follow the reasoning in real time and pause whenever a particular step needs more thought. These videos are especially helpful for mastering miscellaneous exercise problems that often appear in higher-difficulty sections of the exam.
Chapter 10 - Vectors
| Fun Video: What are Vectors? 04:41 min | |
| Basic Concepts of Vectors Direction Cosines and Direction Ratios 19:14 min | |
| Video: Types of Vectors 05:00 min | |
| Overview of Scalar and Vector Product of 2 Vectors 04:08 min | |
| Scalar (or Dot) Product of 2 Vectors 06:02 min | |
| Addition of Vectors 09:30 min | |
| Multiplication of a Vector by a Scalar Components of a Vector 12:22 min | |
| Examples: Vector Operations 11:58 min | |
| Section Formula 06:30 min | |
| Vector (or Cross) Product of 2 vectors 09:22 min | |
| Properties of Scalar Product and Projection of a Vector on a Line 09:12 min | |
| Properties of Cross Product 14:08 min | |
| Examples: Vectors joining 2 Points 09:57 min | |
| Examples : Vector Product 14:35 min | |
| Examples : Section Formula 09:44 min | |
| Examples : Scalar Product 09:34 min | |
Chapter 11 - Three Dimensional Geometry
| Examples : Equation of a line 10:23 min | |
| Examples: Equation of plane Passing through the Intersection of 2 given Planes 08:38 min | |
| Direction Cosines and Direction Ratios of a Line- Three Dimensional Geometry 02:05 min | |
| Example: Direction Cosines & Direction Ratios 10:24 min | |
| Examples : Equation of a line : Part 2 06:36 min | |
| Equation of a Line in Space - Three Dimensional Geometry, Class 12, Math 07:44 min | |
| Examples: Angle between lines 07:43 min | |
| Angle between 2 Lines - Three Dimensional Geometry, Class 12, Math 07:39 min | |
| Shortest Distance between 2 Lines (Distance between 2 skew lines and distance between parallel lines) 07:31 min | |
| Examples: Distance between lines 14:13 min | |
| Examples: Equation of a Plane Perpendicular to a given Vector and passing through a given point 10:48 min | |
| Examples : Equation of a Plane in Normal Form 11:28 min | |
| Examples : Equation of a Plane passing through 3 Non-Collinear points 14:56 min | |
| Equation of a Plane in Normal Form, Equation of a Plane Perpendicular to a given Vector 10:30 min | |
| Intercept Form of the Equation of the Plane 01:16 min | |
| Equation of a Plane passing through 3 Non-Collinear points and Equation of plane passing through the Intersection of 2 given Planes 08:01 min | |
| Coplanarity of 2 Lines and Angle between 2 Planes - Three Dimensional Geometry, Class 12, Math 07:46 min | |
| Distance of a point from a Plane and Angle Between a Line and a Plane - Three Dimensional Geometry 06:37 min | |
Chapter 12 - Linear Programming
| Examples : Graphical method 14:08 min | |
| Linear Programming Problem and its Mathematical Formulation, Graphical Method - Linear Programming, Class 12, Math 09:29 min | |
| Transportation Problems(includes examples) - Linear Programming, Class 12, Math 12:38 min | |
Chapter 13 - Probability
| Understanding Conditional Probability with an Example 12:29 min | |
| What are Independent Events? 02:14 min | |
| Examples: Independent Events 14:35 min | |
| Examples: Bayes' Theorem 14:53 min | |
| What are Random Variables? 05:32 min | |
| Examples : Probability Distribution of a Random Variable 11:49 min | |
| Examples : Mean of a Random Variable 05:21 min | |
| Examples : Binomial Distribution 14:47 min | |
| Introduction to Bernoulli Trials 05:02 min | |
| Multiplication theorem of Probability- Probability 02:37 min | |
| Probability Distribution of a Random Variable - Probability, Class 12, Math 05:19 min | |
| Variance of Random Variable - Probability, Class 12, Math 06:44 min | |
| Binomial Distribution - Probability, Class 12, Math 10:03 min | |
| Mean of a Random Variable - Probability, Class 12, Math 03:16 min | |
| What are Bernoulli Trials? - Probability, Class 12, Math 04:30 min | |
| Bayes' Theorem - Probability, Class 12, Math 12:30 min | |
| Intro to Conditional Probability 06:14 min | |
| Conditional Probability : Properties 09:17 min | |
