Mathematical Tools in Physics

This topic covers concepts, such as Basics of Differentiation, Definition of Derivative (dy/dx), Physical Interpretation of Derivative (dy/dx), Geometrical Interpretation of Derivative (dy/dx), Differentiation of Algebraic Functions, Differentiation of Trigonometric Functions, Differentiation Rules, Addition Rule in Differentiation, Subtraction Rule in Differentiation, Constant Factor Rule, Product Rule in Differentiation, Quotient Rule in Differentiation, Differentiation of Logarithmic Functions & Chain Rule for Differentiation of Composite Functions etc.

This topic covers concepts such as Indefinite Integral, Indefinite Integral: Variants, Indefinite Integral: Constant of Integration, Properties of Indefinite Integrals, Integration by Substitution, Integration by Parts, Definite Integral, etc.

This topic covers concepts such as Free and Localised Vectors, Position Vector, Coinitial Vectors, Coplanar Vectors, Collinear Vectors, Scalar Quantity, Algebra of Scalar Quantities, Vector Quantity, Equal Vectors, Parallel Vectors, Zero Vector, etc.

This topic covers concepts such as Addition of Vectors, Subtraction of Vectors, Triangle Law of Addition of Vectors, Resolution of a Vector in 2D, Resolution of a Vector in 3D, Parallelogram Law of Addition of Vectors, etc.

This topic covers concepts such as Multiplication of Vectors, Scalar Product of Two Vectors, Algebra of Scalar Product of Two Vectors, Calculation of Angle Between Two Vectors Using Scalar Product, Vector Product of Two Vectors, etc.