Course Curriculum
A structured approach to Class 12th - Mathematics
Relations & Functions – Types of Relations
Relations & Functions – Types of Functions
Relations & Functions – Composition & Inverse Functions
Inverse Trigonometric Fn. – Principal Values
Inverse Trigonometric Fn. – Properties
Graphs
Inverse Trigonometric Fn. – Solving Equations
Matrices – Intro & Types
Matrices – Operations
Matrices – Properties
Determinants – Minors & Cofactors
Determinants – Properties of Determinants
Determinants – Applications
Continuity & Differentiability – Continuity
Continuity & Differentiability – Differentiability
Continuity & Differentiability – Chain Rule
Derivatives
Applications of Derivatives – Rate of Change
Applications of Derivatives – Increasing/Decreasing Functions
Applications of Derivatives – Maxima and Minima
Applications of Derivatives – Tangents
Normals
Applications of Derivatives – Optimization Problems
Applications of Derivatives – Summary and Examples
Integration – Introduction + Standard Forms
Integration – Methods: Substitution
Integration – By Parts
Integration – Partial Fractions
Integration – Definite Integrals
Integration – Evaluation of Definite Integrals
Applications of Integrals – Area under Curves
Applications of Integrals – Area between Curves
Applications of Integrals – Mixed Examples
Differential Equations – Introduction
Order
Degree
Differential Equations – General and Particular Solutions
Differential Equations – Method of Separation of Variables
Differential Equations – Applications
Vectors – Basics & Types
Vectors – Addition
Scalar Multiplication
Vectors – Dot Product
Cross Product
Vectors – Applications of Products
3D Geometry – Direction Cosines & Ratios
3D Geometry – Equation of Line
3D Geometry – Plane Equations
3D Geometry – Angle Between Line & Plane
Linear Programming – Introduction + Constraints
Linear Programming – Graphical Method
Linear Programming – Practice Problems
Probability – Conditional Probability
Probability – Bayes’ Theorem
Probability – Independent Events
Probability – Total Probability Theorem
Probability – Mixed Problem Practice
Revision – Chapters 1–5 Review
Revision – Chapters 6–13 Review
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