Calculus Concepts

Understand limits, rates of change, accumulation, and the connection between derivatives and integrals.

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Level: Advanced secondary to introductory university
Subject area: STEM and Problem Solving
Learning outcomes: 4 focused outcomes

Topic overview

Learn the foundations of Calculus Concepts.

Calculus becomes coherent when graphs, motion, area, and symbolic rules all describe the same changing system from different viewpoints.

Learning outcomes for Calculus Concepts

1
Interpret a limit from numerical and graphical evidence
2
Connect derivatives with local rate and slope
3
Connect integrals with accumulation and signed area
4
Check symbolic work against units, graphs, and estimates

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Suggested route

How to learn Calculus Concepts step by step.

Build the foundation

Interpret a limit from numerical and graphical evidence

Practise with feedback

Connect derivatives with local rate and slope

Practise with feedback

Connect integrals with accumulation and signed area

Apply and reflect

Check symbolic work against units, graphs, and estimates

Check and review

Practise and review Calculus Concepts.

Self-test

Mathematics placement self-test

Work through arithmetic, fractions, algebra, geometry, statistics, and probability questions.

About 9 minutes Take self-test

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Calculus Concepts