Exercises

Every exercise from the courses, in one place. Search for a specific one, filter by subject, or let chance pick one for you.

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Flash questionsShort drills on core skills, as cards to project or print.See the series

1120 exercises

Rolle's Theorem and the Mean Value Theorem

Mathématiques – Analyse3 exercises

Short answerAdvanced

Counting the roots of the derivative

Using the mean value theorem correctly

Open answerAdvanced

From Rolle's theorem to monotonicity

Function limits

Mathématiques – Analyse4 exercises

Identifying an indeterminate form and the method for doing so

Short answerAdvanced

Calculating a limit by factoring

Rank the comparative growth rates

Open answerAdvanced

Epsilon-delta proof

Continuity and the Intermediate Value Theorem

Mathématiques – Analyse4 exercises

Recognising a continuous function

Short answerAdvanced

Point of discontinuity

Making the most of the TVI

Open answerAdvanced

A complete derivation of a proof of the existence of a root

Bolzano-Weierstrass by Bisection

Mathématiques – Analyse4 exercises

Working with subsequences

Short answerAdvanced

How many cuts?

What the theorem says exactly

Open answerAdvanced

Writing the proof by bisection

Heine's Theorem

Mathématiques – Analyse4 exercises

Spotting uniform continuity

Short answerAdvanced

An explicit delta

The hypotheses of the theorem

Open answerAdvanced

Writing the proof by contradiction

The Banach Fixed-Point Theorem

Mathématiques – Analyse4 exercises

Recognizing a Contraction

Short answerAdvanced

Finding the Fixed Point

The Inner Workings of the Proof

Open answerAdvanced

Writing Out the Proof of the Theorem

The exponential function

Mathématiques – Analyse1 exercise

MCQIntermediate

Basic properties