Algebra

Algebra is divided into different sub-branches. 

• Elementary Algebra.
• Advanced Algebra.
• Abstract Algebra. 
• Linear Algebra. 
• Commutative Algebra.

Elementary Algebra.

• Arithmetic Operations.
• Laws of Arithmetic.

Advanced Algebra.

• Equations with inequalities.
• Matrices.
• Solving system of linear equations.
• Graphing of functions and linear equations.
• Conic sections.
• Polynomial Equation.
• Quadratic Functions with inequalities.
• Polynomials and expressions with radicals.
• Sequences and series.
• Rational expressions.
• Trigonometry.
• Discrete mathematics and probability.

Abstract Algebra.

• Sets.
• Binary Operations.
• Identity Element.
• Inverse Elements.
• Associativity. 

Linear Algebra. 

• Linear equations.
• Vector Spaces.
• Relations.
• Matrices and Matrix Decomposition.
• Relations and Computations.

Commutative Algebra.

The study of commutative rings is called commutative algebra. 

• Rings of Algebraic Integers.
• Polynomial Rings etc.