Calculus through Data & Modeling: Differentiation Rules

Johns Hopkins studies derivatives of polynomial, exponential, logarithmic and trigonometric functions before moving to partial and directional derivatives. A flight-path project closes the sequence. This progression makes it useful for learners who want to connect single-variable rules with the geometry of multivariable change.

What you will learn

• Apply product, quotient and chain rules.
• Compute partial and directional derivatives.
• Interpret gradient vectors in a modeled example.

Who this suits

Intermediate learners; detailed prerequisites are not listed in the published course facts. Preview functions, algebra and introductory differentiation.

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

Describe a path with two changing coordinates. Compare a derivative along the path with the partial derivatives of a related surface.

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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