1. Functions, equations, and graphs: mappings, composite and modulus functions, inverse functions, quadratic inequalities, solving and sketching logarithmic and exponential equations. 2. Simultaneous equations and polynomials: solving linear and quadratic equations, factor theorem, remainder theorem, cubic expressions, and polynomials operations. 3. Differentiation and integration: derivatives of exponential, logarithmic, and trigonometric functions, product and quotient rules, definite and indefinite integration, integration of trigonometric and exponential functions. 4. Geometry and trigonometry: straight-line equations, perpendicular and parallel lines, coordinate geometry of circles, circular measure, trigonometric ratios and graphs, angles between 0° and 90°. 5. Sequences, series, and probability: Pascal’s triangle, arithmetic and geometric progressions, factorial notation, permutations, combinations. 6. Kinematics and applications: differentiation and integration in kinematics, tangents and normals, stationary points, rates of change, practical maximum and minimum problems.