# Maths Study

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Maths

Mathematical Reasoning

Sets

Types of Sets

Equal Sets and Equivalence Sets

Union and Intersection of Sets

Complement of a set

Venn diagrams

Equal Sets and Equivalent Sets

Concept of Subset

Union and Intersection of Sets

Difference between Sets

Relation and Mapping

Relation

Mapping

Concept of Functions

Reasoning

Algebra

Formulae

Equations

Number Patterns

Linear

Quadratic

Other

Indices

Rules

Negative Indices

Fraction Indices

Concept and Laws of Logarithms

Functions and Graphs

Manipulating algebra

Using Algebra

Probability

Probability concepts

Sample space diagrams

Addition rule

Probability outcomes

Outcome of a single event

Outcome of multiple events

Experimental Probability

Experimental and Theoretical Probability

Applications of Maths

Numbers

Number System

Factor and Multiples

Fractions

Ration and Proportion

Percentages

Decimals

Exponents and roots

Advanced Numbers

Matrices

Permutations and combinations

Factors and Multiples

Statistics

Types of data

Methods of collection

Frequency tables

Representing Data

Data Analysis

Geometry

Basic Geometrical Concepts

Concept Of Polygons

Triangles

Circles

Angles

Mensuration

Vectors

Symmetry and Reflection

Polynomials

Similarity

Three Dimensional Geometry

Trigonometry

Advanced Concepts in Maths

Limits and Derivatives

Limit of a Function Using Intuitive Approach

Limit of a Polynomial and a Rational Function

Limits of Trigonometric Functions

Derivative of a Function

Derivatives of Trigonometric and Polynomial Functions

Complex numbers and quadratic equations

Complex Numbers

Addition and Subtraction of Complex Numbers

Multiplication of Complex Numbers

Division of Complex Numbers

Identities of Complex Numbers

Modulus and Conjugate of a Complex Number

Quadratic Equations with Complex Roots

Concept of Argand Plane