- Introduction to Polynomials
- Problem 1: Introduction to Polynomials
- Linear Equations in one, two and three variables
- Problem 1: Linear Equations in one, two and three variables
- Quadratic Equations in One Variable
- Problem 1: Quadratic Equations in One Variable

- Remainder Theorem
- Problem 1: Remainder Theorem
- Factor Theorem
- Problem 2: Factor Theorem
- Problem 1: Factor Theorem

- Solving Quadratic Equations by Factorization
- Problem 1: Solving Quadratic Equations by Factorization
- Solving Quadratic Equations by Completing the Squares
- Problem 1: Solving Quadratic Equations by Completing the Squares
- Problem 2: Solving Quadratic Equations by Completing the Squares
- Derivation of Quadratic formula
- Problem 1: Derivation of Quadratic formula
- Solving Quadratic Equation by Quadratic formula
- Problem1-Solving Quadratic Equation-Quadratic Formula
- Problem 2: Solving Quadratic Equation by Quadratic formula
- Problem-Solving Involving Quadratic Equations

- Recognise Complex Cube Roots of Unity
- Properties of Cube Roots of Unity
- Problem 1: Properties of Cube Roots of Unity

- Solving Equation Having Degree 2n
- Problem-Solving Equation Having Degree 2n
- Problem2-Solving Equation Having Degree 2n
- Solving Equation Having Degree Four
- Solving Rational Equations
- Solving Reciprocal Algebraic Equation
- Problem 1: Solving Reciprocal Algebraic Equation
- Solving Exponential Equations
- Solving Algebraic Equations in Products Factors
- Equations with Different Exponential Functions
- More on Equations with Different Exponential Functions
- Problem-Equations with Different Exponential Functions
- Equations with Special Base e
- Problem-Equations with Special Base e
- Exponential Modelling
- Problem1-Exponential Modelling
- Problem2-Exponential Modelling
- Equations Containing Logarithms
- Problem-Equations Containing Logarithms
- Disguised Quadratic Equations
- Problem-Disguised Quadratic Equations

- The Theory of Quadratic Equations
- More on the Theory of Quadratic Equations
- Problem-The Theory of Quadratic Equations

- Discriminant of Quadratic Expression
- Problem 1: Discriminant of Quadratic Expression
- Finding Discriminant of Quadratic Equation
- Problem 1: Finding Discriminant of Quadratic Equation
- Nature of the Roots of a Quadratic Equation
- Problem 1: Nature of the Roots of a Quadratic Equation
- Quadratic Function
- Geometrical Interpretation and the Discriminant
- Problem1-Geometrical Interpretation and the Discriminant-1
- Problem1-Geometrical Interpretation and the Discriminant-2
- Problem2-Geometrical Interpretation and the Discriminant-1
- Verification of Nature of Roots of Equation
- Finding s when Nature of Roots is given
- Finding s when Nature of Roots is given
- Problem 1: Finding s when Nature of Roots is given

- Finding Sum of Roots from Their Product
- Problem 1: Finding Sum of Roots from Their Product
- Roots Satisfy a Given Relation
- Sum & Product of Roots Equal to a Number.
- Find a Quadratic Equation from Given Roots
- Form Quadratic Equations Whose Roots are Given
- Problem 1: Form Quadratic Equations Whose Roots are Given

- Solving Simultaneaous Quadratic Equations
- Solving Linear and Quadratic Equations
- Problem-Solving Linear and Quadratic Equations
- System of Two Equations Involving Two Variables
- Problem-System of Two Equations Involving Two Variables

- Solving Linear and Quadratic Equations
- Problem-Solving Linear and Quadratic Equations
- Solving 2nd Degree Equations in General Form Type 1
- Problem-Solving 2nd Degree Equations in General Form Type 1
- Solving 2nd Degree Equations in General Form Type 2
- Case2-Solving 2nd Degree Equations in General Form Type 2
- Case3-Solving 2nd Degree Equations in General Form Type 2
- Case4-Solving 2nd Degree Equations in General Form Type 2
- Case5-Solving 2nd Degree Equations in General Form Type 2