1. 1. Properties of Relations 2. 2. Set Theory: Subsets, Operations, and Counting 3. 3. Venn Diagrams and Real-World Set Applications 4. 4. Mathematical Sets: Solutions to Equations and Number Properties

1. 1. Relations (Types, Properties, and Set Logic) 2. 2. Domain of Functions 3. 3. Range, Extrema, and Global Properties 4. 4. Classification and Counting of Functions 5. 5. Functional Equations and Summation Series 6. 6. Composite Functions 7. 7. Inverse of a Function 8. 8. Greatest Integer [x] and Fractional Part {x} Functions 9. 9. Graphical Properties and Symmetry

1. 1. Modulus, Argument, and Polar Form Calculations 2. 2. Algebraic Identities, Conjugates, and Real/Imaginary Conditions 3. 3. Circles, Modulus Equations, and Metric Properties 4. 4. Linear Loci, Arguments, and Geometric Transformations 5. 5. Regions, Intersections (Sets), and Polygons 6. 6.Roots of Unity

1. 1. Fundamental Vieta’s Formulas and Basic Symmetric Functions 2. 2. Newton’s Identities and Recurrence Relations 3. 3. Complex Roots, Roots of Unity, and Trigonometric Roots 4. 4. Nature and Location of Roots 5. 5. Equations Reducible to Quadraticy & probability

1. 1. Nature of Roots (Real, Equal, Integral, and Signs) 2. 2. Expressions and Identities Involving Roots 3. 3. Equations with Absolute Values and Substitutions 4. 4. Exponential, Trigonometric, and Polynomial Functions 5. 5. Sets, Complex Numbers, and General Inequalities