Calculus

This topic introduces the fundamental concepts of calculus, focusing on integration and its applications in real-life contexts such as finding areas under curves, volumes of revolution, and quantities from rates of change. Learners will integrate polynomials, functions of the form (ax+b)^n, and basic trigonometric and exponential functions. They will calculate definite integrals, areas bounded by curves and lines, and volumes of solids of revolution. They will also apply integration to motion problems (velocity/acceleration). Calculus represents the pinnacle of O-Level mathematics in Zambia and is essential for ECZ exam success and future studies in mathematics, science, and engineering.