Use the bareMatrices display flag to render a matrix without wrapping it in parentheses.

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 a "formatted text template" variable to define a long passage of text which is shown to the student after they submit a part. A custom marking algorithm adds the text as a comment after the standard marking algorithm has finished.

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.

The gap-fill part in this question is only marked correct if both gaps are correct.

The feedback from the individual gaps is not shown.

A custom marking algorithm for a JME part estabishes whether the student's answer is equivalent to the expected answer, up to an arbitrary constant factor.

Partial differentiation question with customised feedback to catch some common errors.

Partial differentiation question with customised feedback to catch some common errors.

Partial differentiation question with customised feedback to catch some common errors.

Partial differentiation question with customised feedback to catch some common errors.

Differentiation questions (mostly partial differentiation) with customised feedback, with the intention of catching common errors.

Application of the binomial distribution given probabilities of success of an event.

Finding probabilities using the binomial distribution.

Einfache Aufgabe zur Produktregel

Set of matrices exercises for knowledge validation. Topics covered:

• Matrix Addition and Subtraction

No description given

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

Indefinite Integrals

rebel

rebelmaths

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

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.)