Calculus and Change
This topic is about how changing things move, grow and accumulate.
Explore the main idea
Placeholder text: this section will explain how the main tool works, what the user can change, and what they should notice as the visual responds.
Placeholder text: this section will connect the tool back to the wider topic, showing how the same mathematical idea appears in related projects and real situations.
About this topic
Calculus is the mathematics of change: how quantities move, accumulate, stabilise and respond to different inputs.
Use these tools to move between visual intuition, symbolic methods and modelling decisions.
Explore this through functions and graph transformations, rates of change, gradients and slope fields, area, accumulation and numerical approximation.
Further exploration
Explore next: slope fields and differential equations
Look up: the fundamental theorem of calculus
Try searching for: numerical integration methods