The student is shown two number entry gaps on either side of a 'less than' sign. Their answer is marked correct if the first number is less than the second, using a custom marking algorithm.

This shows how to mark the gaps in a gap-fill part together, rather than independently.

A demonstration of how to use the "variable list of choices" option for a "choose one from a list" part to shuffle only some of the choices, and always have the same "I don't know" choice at the end of the list.

This question uses the linear algebra extension to generate a system of linear equations which can be solved.

We want to produce an equation of the form $\mathrm{A}\mathbf{x} = \mathbf{y}$, where $\mathrm{A}$ and $\mathbf{y}$ are given, and $\mathbf{x}$ is to be found by the student.

First, we generate a linearly independent set of vectors to form $\mathrm{A}$, then freely pick the value of $\mathbf{x}$, and calculate the corresponding $\mathbf{y}$.

To generate $\mathrm{A}$, we generate more vectors we need, then pick a linearly independent subset of those using the subset_with_dimension function.

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Tutorial questions focusing upon the Coulomb field, electrostatic potentials and parallel plate capacitors

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Einfache Aufgabe zur Produktregel

Einfache Matheprüfung mit 4 Fragen.

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Set of matrices exercises for knowledge validation. Topics covered:

• Matrix Addition and Subtraction

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Modifiziert (dynamische Zahlenwerte) nach: Berggren, J. L. & Schmidl, P. G. (2011). Mathematik im mittelalterlichen Islam. Springer, S. 73, Aufgabe 12.

Lösen einer quadratischen Gleichung im Stile Diophants

Konstruktion und Beweis zu einem Vermessungsverfahren nach Thales von Milet

Umwandlung von keilschriftzahlen in Dezimalzahl und Dezimalbruch, Zufallswerte.

Das berühmte Problem der Aufteilung des Einsatzes bei abgebrochenem Spiel

Apply the quadratic formula to find the roots of a given equation. The quadratic formula is given in the steps if the student requires it.

Analysis & Stochastik

Estimating the wear rate of a disc from a twin-disc experiment.

Frühe Ableitungsregeln nutzen

trial test Calculus

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A group (chosen randomly, the groups with 6 and those 8 elements are available) is given by its multiplication table. The task is to check whether the group is commutative, to identify all elements of order $\le 2$, and to find a subgroup which has half as many elements as the given group.

(In German.)