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MathematicsMaster's 4.7 · 980

Real Analysis

The rigorous foundation of calculus: sequences, limits, and epsilon-delta proof.

Prof. Hannah Whitfield, Professor of Analysis

Prof. Hannah Whitfield

Professor of Analysis

Course progress0 / 3 lessons
1

Sequences & Convergence

When does a sequence approach a limit?

10 min +90 XP2 quiz questions
2

Continuity, Rigorously

The epsilon-delta definition of continuity.

10 min +90 XP2 quiz questions
3

Series & Convergence

When an infinite sum has a finite value.

10 min +70 XP2 quiz questions

Common questions

Who is "Real Analysis" for?

It is written for learners at Master's level (Graduate), and for anyone older who wants a clear refresher on mathematics. The rigorous foundation of calculus: sequences, limits, and epsilon-delta proof. There is no application or entry test — you can start the first lesson straight away.

How long does the course take?

There are 3 lessons totalling 30 minutes of reading and quizzes, laid out over 2 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 "Sequences & Convergence", covering bounded sequences and limits, 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.