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Click on the applet required in the following index to proceed down the page to the required applet's information. From there, click either the applet name or icon (or, if required, the theory or tutorial sheets - where available).

All applets open in a new window.

Pure Mathematics Applets
Straight Line
		Description		Work Sheet	Theory Sheet
		y = mx + c		Sheet 1	Included in Work Sheet
Parabola
		Description		Work Sheet	Theory Sheet
		y = ax² + bx + c		Sheet 1	Included in Work Sheet
Cubic
		Description		Work Sheet	Theory Sheet
		y = ax³ + bx² + cx + d		Coming soon	Coming soon
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Exponential Function Applet
		Description		Work Sheet	Theory Sheet
		y = A + B exp( kt )		Sheet 1
		y = A + B exp( kt )sin wt		Sheet 2
		Logistic curve
		Normal curve		Sheet 4
The Circle Applet
		Description		Work Sheet	Theory Sheet
		(x - a)² + (y - b)² = r²
Ellipses & Circles
		Description		Work Sheet	Theory Sheet
		(x - a)² + (y - b)² = r²
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Trigonometrical Functions
		Description		Work Sheet	Theory Sheet
		y = A sin ( wt + phi )		Sheet 1
		y = A cos ( wt + phi )
		y = A tan ( wt + phi )
Adding Sinusoids
		Description		Work Sheet	Theory Sheet
		See the effect of adding one sinusoid (sine or cosine) to another. You can change the amplitude and frequency of each sinusoid.
Odd, Even Piecewise & Periodic Functions
		Description		Work Sheet	Theory Sheet
		Special functions used in engineering can be generated using this applet including rectangular pulse, sawtooth, etc		Coming soon	Sheet 1
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Complex Numbers
		Description		Work Sheet	Theory Sheet
		Rectangular/Polar forms. Addition,Subtraction, Multiplication & Division. Roots up to & inc 7th roots.			Sheet 1
					Sheet 2
					Sheet 3
Maclaurin Series
		Description		Work Sheet	Theory Sheet
		Series for 'standard' functions. Introduce any number of terms & see how the approximation changes.			Sheet 1
Arithmetic, Geometric & Linear Sequences
		Description		Work Sheet	Theory Sheet
		Arithmetic, Geometric & Linear Progressions.
Differentiation 1
		Description		Work Sheet	Theory Sheet
		Chords and tangents of y = x² and their gradients		Sheet 1	Sheet 1
Differentiation 2
		Description		Work Sheet	Theory Sheet
		y = x²(Tangents, Rates of change, 2nd diffs)		Sheet 1
		y = sin x (Concavity, turning points)		Sheet 2
		cos, tan & exp (Asymptotes & dicontinuities)		Sheet 3
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Applied Mathematics Applets
Projectiles
		Description		Work Sheet	Theory Sheet
		Non-viscous case (no drag)		Sheet 1	Sheet 1
		Viscous case (with drag)		Sheet 2	Sheet 2
The LR Series Circuit
		Description		Work Sheet	Theory Sheet
		Inductance/resistance series circuit
		Tut 1 response to zero applied voltage		Sheet 1	Sheet 1
		Tut 2 ramp applied voltage		Sheet 2	Sheet 2
		Tut 3 sinusoidal voltage		Sheet 3
		Tut 4 exponential voltage		Sheet 4
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The LRC Series Circuit
		Description		Work Sheet	Theory Sheet
		Inductance, Resistance, Capacitance			Sheet 1
		series circuit with an applied voltage			Sheet 2
Mass Spring Damper Systems
		Description		Work Sheet	Theory Sheet
		System with no forcing term		Sheet 1	Sheet 1
		System with sinusoidal forcing		Sheet 2
		System with exponential and algebraic forcing		Sheet 3
First and Second Order Systems: Unforced Response
		Description		Work Sheet	Theory Sheet
		Typical responses of first and second order systems with zero input			Sheet 1
		Monitor how the response changes as you change response parameters
Second Order Linear Systems (Analogue)
		Description		Work Sheet	Theory Sheet
		Second order system with constant input		Sheet 1	Sheet 1
		Monitor how the solution changes as you move the system poles
First Order Digital Systems
		Description		Work Sheet	Theory Sheet
		Change the parameters of a first order			Sheet 1
		digital system for zero, constant and
		ramp input
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First Order Analogue to Digital Systems
		Description		Work Sheet	Theory Sheet
		Compare analogue output with digital output. See the effect of varying the sampling time.
		(Forward Difference Approximation)
Analogue to Digital Pole Mapping
		Description		Work Sheet	Theory Sheet
		Move system poles in the s - plane to see how a variety of transformations			Sheet 1
		and sampling times map these poles
		into the z - plane.
Mohr's Circle
		Description		Work Sheet	Theory Sheet
		Strains measured in either a 45 or 60 degree strain gauge rosette		Volunteer needed!

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