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Description:
Algebra
Topics for "Algebra"
01. Concepts of Algebra
The Algebra of Real Numbers
Basic Algebraic Properties of Real Numbers
Sets of Real Numbers
Introduction to Scientific Notation
Approximation of Numbers
Concept of Rounding Off
Mathematical Models and Idea of Direct and Inverse Variation
Concept of Joint and Combined Variation
Introduction to Algebraic Expression and Polynomials
Addition and Subtraction of Polynomials
Multiplication of Polynomials
Factoring Polynomials
Fractions
Multiplication and Division of Fractions
Addition and Subtraction of Fractions
Complex Fractions
02. Equations and Inequalities
Introduction to Equations
Linear Equations
Applications Involving Linear Equations
Quadratic Equations
Solving Quadratic Equations by Factorisation
Solving Quadratic Equations by Completing Square
Solving Quadratic Equations by Quadratic Formula
Applications Involving Quadratic Equations
The Discriminant and Complex Roots
Radical Equations
03. Functions and Graphs
Cartesian Coordinate System
Algebra Functions
Graph of a Function
Geometric Properties of Graphs
04. Polynomial and Rational Functions
Quadratic Function
05. Sequences and Series
Introduction to Sequences
Arithmetic Sequence or Arithmetic Progression
Arithmetic Series
Application of Arithmetic Sequence and Series
Geometric Sequence or Geometric Progression
Geometric Series
Infinite Geometric Series
Application of Geometric Sequence and Series
06. Concept Of Matrices
Introduction to Matrices
Concept of Matrices
Types of Matrices
Algebra of Matrices
Introduction to Set Theory
Introduction to Set Theory
Definition and Representation of Set
Empty Set or Null Set
Concept of Subset
Equality of Sets
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