Project: Simulation of the movement of an automobile engine's piston
[b][color=#cc0000]Contents of maths: [/color][/b][br]Parametrics functions, Differential and Integral Calculus, Series of functions…
Internal Combustion Engine
[url=https://www.ck12.org/physical-science/Internal-Combustion-Engines-in-Physical Science/lesson/Internal-Combustion-Engines/][color=#0066cc]https://www.ck12.org/physical-science/Internal-Combustion-Engines-in-Physical Science/lesson/Internal-Combustion-Engines/[/color][/url]
[size=100][size=150][color=#cc0000][b]First activity[/b][/color][/size][/size][br][br]Analysing and simulating of the movement of an automobile engine’s piston, like the figure below, without considering friction forces.
Physical model of an automobile engine’s piston
Mathematical expressions of the physical model
[size=150][b][color=#cc0000]Second activity [br][/color][/b][/size][br]Simulating the thermal behavior and movement within a piston cylinder.[br][br]Considering the valves closed and the displacement of the piston depends only of the movement of the crankshaft.[br][br]
Simulation of the movement of an automobile engine's piston
[size=150][color=#cc0000][b]Third activity[br][br][/b][/color][/size]Develop a Geogebra applet that enables the user to find a Taylor polinomial of a function f(x).[br][br][b][color=#a61c00]The applet should allow:[/color][/b][br][list][*]Type f(x);[/*][*]Change the order of the Taylor polynomial;[/*][*]Change the center of the series[br][br][font=Times New Roman][color=#000000][/color][/font][br][/*][/list]