# Electronic Resources

Resources for demonstrations and student investigations.

Please share with us your own favourite resources at fyimathsproject@gmail.com!

Calculus

Complex numbers

Vectors

• A tone of interactive Applets for university mathematics can be found here at the University of Melbourne
• Loads of investigative simulations can be found here at Phet. These focus mainly on the Sciences, but many can still be used to investigate applications of mathematics.

## Calculus Squeeze/Sandwich theorem Demonstrates how one function can be ‘squeezed’ between two functions (Desmos) Solids of revolutions Visually demonstrate solids of revolution (Desmos) Solids of revolutions Visually demonstrate solids of revolution (Desmos) Epislon-delta game Explore suitable epislon-delta to make make the little guy happy (Desmos) Chain rule Allows students to practice applying the chain rule and provides worked solutions (If you notice any errors, please contact jennifer.palisse@unimelb.edu.au) (Mathematica cdf) Water line Highly interactive investigation of the rate of water height for changing glass types (Desmos)

## Complex Numbers Roots of unity Visually see that roots of x^n=1 are spread equally (Mathematica cdf) Complex Number game Drag and drop points on the graph to the given complex number (Mathematica cdf) Rotating by powers of i Visulisation that powers of i rotate by multiples of 90 degrees (Mathematica cdf)

## Vectors Vector projection Visualise the scalar multiplication between two vectors – also shows dot product value to allow students to practice (Geogrebra) Parametric equations Visualise the movement of two ships using parametric equations (Geogebra) Shooting basketballs Use vector projection to shoot a basket ball. Best thing about this site is that the code is fully customisable.

## Trigonometry Moon phases in relation to the Sun A nice interactive simulation of the phases of the Moon. (Desmos)