Calculus: Single Variable Part 1 - Functions

Penn begins its single-variable calculus sequence with a review of functions, then develops Taylor series, limits and asymptotic behavior. This course concentrates on the language used in later differentiation and integration work. It can help learners identify gaps in their foundations before taking a course built around applications of derivatives.

What you will learn

• Review the behavior of common functions.
• Explain the purpose of a Taylor series.
• Reason about limits and asymptotic behavior.

Who this suits

Coursera labels the course mixed level. Detailed prerequisites are not listed; preview the algebra and function notation before enrolling.

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.

Coursera offers paid enrollment or subscription access. Check the enrollment screen for assessment and certificate terms, trials and any financial-aid options. Provider access terms can change; review them before paying.

Put it into practice

Compare a function with a low-order Taylor approximation. Mark where the approximation is useful and where its error becomes significant.

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.

View the curriculum and current access options at Coursera.

How YellowCourse describes and checks learning resources.