Calculate the von Mises stress at the base of a post subject to axial compression, bending and torsion.

Determine the principal stresses for a 3D stress state (with null third invariant).

Calculate invariants and von Mises stress for a general 3D stress state.

Determine maximum pressure in a closed thin-walled cylindrical pressure vessel before yield.

Work backwards from hoop strain measurement to calculate prior gauge pressure in a drinks can.

Calculate direct and shear stress in an axially loaded bar in the XY plane.

Entering numbers and algebraic symbols  in Numbas. (German translation)

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This is a test only

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Find the missing whole number power in an equation.

Calculating with indices.

Eenvoudige berekening van korting en BTW

Rationalise the denominator with increasingly difficult examples involving compound denominators. 

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Multiplication and addition of complex numbers. Four parts.

Exercises for HELM Book 2.7.1

For the graphs in HELM Book 2 Figure 30, identify which are one-to-one, and which are many-to-one.

Identify whether or not an expression is a polynomial. From HELM Book 2.7.1.

Unmarked question, with advice.

Write down an example of a polynomial of given degree and given variable.

Write down a non-polynomial function.

Explain why a polynomial with a fractional index is not a polynomial.

Given an arbitrary polynomial, identify its degree.

A portfolio of NUMBAS questions created for first year Natural Sciences students. The questions cover the topics: 

• Linear functions
• Quadratic functions
• Differentiation
• Integration
• Explonatial and logarithms 
• Further differentiation
• Further Integration
• Trigonometric Functions

Double integral in polar coordinates - concentric circles

alternating series 

ratio test question

In dieser Aufgabe geht es um Addieren und Subtrahieren von Zufallszahlen

Este examen se usará para evaluar tus bases matemáticas, en base a mi curso homónimo en Khan Academy. Estas bases serán imprescindibles para tu buen desempeño en la materia que te imparto en la Universidad Politécnica Salesiana.