Introduction to Calculus

The University of Sydney starts with precalculus and a repertoire of useful functions before introducing differential and integral calculus. Properties and applications of derivatives receive their own module. The broad sequence can suit learners rebuilding mathematical foundations who want to see how the topics connect before choosing a more specialized continuation.

What you will learn

• Review functions and essential precalculus ideas.
• Explain and apply properties of derivatives.
• Connect differential and integral calculus.

Who this suits

Coursera labels the course intermediate level. Detailed prerequisites are not listed; use the precalculus preview to assess your starting point.

Before you enroll

Work through the algebra as well as the numerical answer. Sketch the function or region involved and check which assumptions allow the chosen calculus method to apply.

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Put it into practice

Model a changing quantity with a simple function. Explain how its derivative and integral answer different questions about the same situation.

Source and review

This overview is based on the provider's published information, checked on 12 October 2026. It is an editorial assessment, not a claim that we completed the resource. Time filters are approximate study ranges; projects and exercises can take longer.

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