Calculating mass of a substance given molecular weight and number of moles.

Calculating the new concentration of a diluted solution.

Example of a dilution calculation involving mass concentration and molarity calculations.

Working backwards from the concentration of a diluted solution to find the concentration of "stock" solution.

Practice at a longer calculation to work out how much glucose is needed to make a solution of a given concentration.

Practice calculating number of moles of a substance given the concentration and volume of a solution.

Differentiate the function $f(x)=(a + b x)^m  e ^ {n x}$ using the product rule. Find $g(x)$ such that $f^{\prime}(x)= (a + b x)^{m-1}  e ^ {n x}g(x)$.

Quiz covering basic arithmetic with complex numbers and solving roots for a quadratic with complex solutions

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Solve a Differential equation with an irreducible quadratic factor 

Solve a Differential equation having 3 simple linear factors & a delta function.

Solve a Differential equation with a repeated linear factor & a delta function

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Power rule

Evaluating a function

A question to test integration by parts in a "pre-Fourier series" setting.

A copy of Amy Chadwicks block question, with adaptions to provide a diagram for the student.

A block of given mass is sliding down the plane, with given acceleration. Find the normal reaction force, the coefficient of friction, and the distance travelled before reaching a given speed.

A random heating question, that randomly picks a material, and then heats it through either one or two phase changes, provides an example graph of the heating with scaled temperature ranges (though not with scaled latent and specific heats), and a table with the suitable constants.

Add two numbers. Sometimes one of them is negative.

Adding stuff

A test of basic concepts to do with SI units and concentrations of solutions.