• Set Theory: Concept of sets, operations on sets (union, intersection, complement), Venn diagrams, Cartesian products, and partitions.
• The Real Number System: Properties of real, rational, irrational, and complex numbers; mathematical induction.
• Algebraic Equations & Inequalities: Solving linear, quadratic, and rational inequalities; modulus inequalities; indices and logarithms.
• Functions & Relations: Domain and range, composition of functions, inverse functions, and graphing basic functions.
• Sequences & Series: Arithmetic Progressions (AP), Geometric Progressions (GP), convergence and divergence of real series.
• Trigonometry: Circular functions, trigonometric identities, radian measures, and solving trigonometric equations.
• Coordinate Geometry: Straight lines, circles, and basic conic sections (parabola, ellipse, hyperbola) in a 2D plane.