# Mathematics

Ordered pairs

Tangents and Normals

Some simple algebraic functions

Set Operations

The Product Rule

Definite Integral

The Logarithmic Function

Techniques of Integration

Introduction To Functions

Techniques Of Differentiation

Implicit and explicit functions

Continuity and Differentiability

Continuity of a function(continuous and discontinuous functions).

Derivatives of inverse trigonometric functions

Derivative or Differential Coefficient of a Function.

The concept of Limit.

Exponent(index) and laws of exponents(indices).

Angle and it’s measurement.

Limits

Relations.

Relation between sets.

The Chain Rule.

Derivative of implicit functions.

Maxima and minima

Types of matrices

The Quotient Rule.

Real Number System.

The Sum Rule.

Basic properties or theorems of limit.

Pythagorian Identities

Partial Differentiation

Trigonometric functions of negative angles

Derivative of simple algebraic or polynomial functions.

Right hand and Left hand limit of a function.

Distance Formula

Exponential Function.

Cartesian product of two sets.

Infinitesimals and Differentials.

Trigonometric transformation formulas

Types of Functions.

Trigonometric multiple and sub-multiple angle formulas

Second and higher derivatives.

Introduction to Set Theory

Composite Function.

Continuity Theorems.

The Power Rule.

Formulas for Area of a Triangle.

Integration by Substitution

Sine Law

Inverse Function.

Projection Law

Integration by trigonometric substitution

Half Angle formulas

Trigonometric Functions

Basic properties of Logarithms.

Antiderivatives ( Indefinite Integrals)

Variable And Constant.

Boolean Algebra

The Trigonometric Functions.

Properties of trigonometric functions

Venn diagram

Trigonometric Addition and Subtraction formulae

What is matrix

Derivatives of Trigonometric functions.

The Cosine Law

Interval.

Derivatives of Logarithmic and Exponential functions.

Right angled triangle and Application of right angled triangle

Integration by Parts