11325 results.

Question in Engineering StaticsShear and bending moment diagram for a beam loaded with a parabolic distributed load described with a loading function.

Question in Engineering StaticsShear and bending moment diagram for a beam loaded with a parabolic distributed load described with a loading function.

Question in Julia Goedecke's contributions
Example of an explore mode question. Student is given a 2x2 matrix and is asked to find the characteristic polynomial and eigenvalues, and then eigenvectors for each eigenvalue. The part asking for eigenvectors can be repeated as often as the student wants, to be used for different eigenvalues.
Assessed: calculating characteristic polynomial and eigenvectors.
Feature: any correct eigenvector is recognised by the marking algorithm, also multiples of the "obvious" one(s) (given the reduced row echelon form that we use to calculate them).
Randomisation: a random true/false for invertibility is created, and the eigenvalues a and b are randomised (condition: two different evalues, and a=0 iff invertibility is false), and a random invertible 2x2 matrix with determinant 1 or 1 is created (via random elementary row operations) to change base from diag(a,b) to the matrix for the question. Determinant 1 or 1 ensures that we keep integer entries.
The implementation uses linear algebra functions such as "find reduced echelon form" or "find kernel of a reduced echelon form", from the extension "linalg2".

Question in Yvonne's workspace
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Exam (3 questions) in Yvonne's workspaceSome practice questions on compound interest and investment.

Exam (10 questions) in Yvonne's workspace
Questions on probability including tree and Venn diagrams

Question in Content created by Newcastle University
Inverse and division of complex numbers. Four parts.

Question in Julia Goedecke's contributions
Example of an explore mode question. Student is given a 3x3 matrix and is asked to find the characteristic polynomial and eigenvalues, and then eigenvectors for each eigenvalue. The part asking for eigenvectors can be repeated as often as the student wants, to be used for different eigenvalues.
Assessed: calculating characteristic polynomial and eigenvectors.
Feature: any correct eigenvalue will be recognised by the marking algorithm, even multiples of the obvious one(s) (which can be read off from the reduced row echelon form)
Randomisation: Not randomised, just using particular matrices. I am still working on how to randomise this for 3x3; a randomised 2x2 version exists. I have several different versions for 3x3 (not all published yet), so I could make a random choice between these in a test.
The implementation uses linear algebra functions such as "find reduced echelon form" or "find kernel of a reduced echelon form", from the extension "linalg2".

Question in Content created by Newcastle University
Differentiate $f(x) = (a x + b)/ \sqrt{c x + d}$ and find $g(x)$ such that $ f^{\prime}(x) = g(x)/ (2(c x + d)^{3/2})$.

Question in Yvonne's workspace
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Question in Yvonne's workspace
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Question in Yvonne's workspace
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Question in Yvonne's workspace
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Question in Yvonne's workspace
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Question in Yvonne's workspace
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Question in Yvonne's workspace
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Question in Yvonne's workspace
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Question in C&G 2850 (Level 2) Engineering
Ferrous Metals

Question in Algebra
Questions to test if the student knows the inverse of an even power (and how to solve equations that contain a single power that is even).

Question in Algebra
Questions to test if the student knows the inverse of an odd power (and how to solve equations that contain a single power that is odd).

Question in TingYing's workspace
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Question in prealgebra Numeracy and Arithmetic
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Question in prealgebra Numeracy and Arithmetic
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Question in prealgebra Numeracy and Arithmetic
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Question in prealgebra Numeracy and Arithmetic
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Question in prealgebra Numeracy and Arithmetic
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Question in prealgebra Numeracy and Arithmetic
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Exam (12 questions) in Aoife's workspace
Basic descriptive statistics  measures of centre and spread, from a list of data and frequency tables.

Exam (3 questions) in Aoife's workspace
Introduction to Laplace Transforms

Exam (5 questions) in Aoife's workspace
Differential equations.
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