Mathematics II · Class 12

Chapters

1. Integrals
   • Introduction
   • Integration as an Inverse Process of Differentiation
   • Methods of Integration
   • Integrals of Some Particular Functions
   • Integration by Partial Fractions
   • Integration by Parts
   • Definite Integral
   • Fundamental Theorem of Calculus
   • Evaluation of Definite Integrals by Substitution
   • Some Properties of Definite Integrals
   • Miscellaneous Examples
   • Summary
   • Historical Note
2. Application of Integrals
   • Introduction
   • Area under Simple Curves
   • Miscellaneous Examples
   • Summary
3. Differential Equations
   • Introduction
   • Basic Concepts
   • General and Particular Solutions of a Differential Equation
   • Methods of Solving First Order, First Degree Differential Equations
   • Miscellaneous Examples
   • Summary
   • Historical Note
4. Vector Algebra
   • Introduction
   • Some Basic Concepts
   • Types of Vectors
   • Addition of Vectors
   • Multiplication of a Vector by a Scalar
   • Product of Two Vectors
   • Miscellaneous Examples
   • Summary
   • Historical Note
5. Three Dimensional Geometry
   • Introduction
   • Direction Cosines and Direction Ratios of a Line
   • Equation of a Line in Space
   • Angle between Two Lines
   • Shortest Distance between Two Lines
   • Summary
6. Linear Programming
   • Introduction
   • Linear Programming Problem and its Mathematical Formulation
   • Summary
   • Historical Note
7. Probability
   • Introduction
   • Conditional Probability
   • Multiplication Theorem on Probability
   • Independent Events
   • Bayes' Theorem
   • Miscellaneous Examples
   • Summary
   • Historical Note