Calculus I
Limits, derivatives, and integrals — the mathematics of change, with worked intuition.
Prof. Elena Marsh
Professor of Mathematics
Limits & Continuity
What it means to approach a value.
The Derivative
Slope of a curve and the power rule.
The Integral
Adding up infinitely many slices.
Optimization with Derivatives
Find the biggest or smallest value.
Common questions
Who is "Calculus I" for?
It is written for learners at Undergraduate level (College), and for anyone older who wants a clear refresher on mathematics. Limits, derivatives, and integrals — the mathematics of change, with worked intuition. There is no application or entry test — you can start the first lesson straight away.
How long does the course take?
There are 4 lessons totalling 37 minutes of reading and quizzes, laid out over 3 units. You can move at your own pace — progress is saved as you go.
What do I need to know before starting?
No prior coursework is assumed. The course opens with "Limits & Continuity", covering one-sided limits and continuity, so the foundations are built in rather than expected.
Is the course free?
Yes. Every course on Monster Class is completely free, with no credit card, trial period or paywall. Creating a free account simply saves your progress, XP and place on the leaderboard across devices.