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Proof by induction and Volumes of revolution

infoWhy this? Proof by induction shows how a logically connected argument can establish a statement for every integer in a specified range, distinguishing proof from checking examples. Volumes of revolution give integration a geometric purpose by measuring solids formed through rotating curves, linking continuous accumulation with three-dimensional shape.

scheduleWhy now? Earlier series, algebra, and matrix work provide both the fluency and the mathematical statements needed for meaningful induction proofs. Integration introduced in A-Level Mathematics can now be applied to volumes, establishing a foundation for the more demanding calculus and volume problems revisited in Year 13.


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