The following example shows how to model light damping by using a second order differential equation. The second-order differential equation modelling light damping is given by:
\[
\ddot{x} + 0.5 \dot{x} + 4 x = 0
\]
The characteristic equation is:
\[
m^2 …
Tuesday, 28 May 2024
Thursday, 18 April 2024
A Level Further Maths: Demystifying Polar Coordinates through Shapes
The above shape is known as cardioid in mathematics. It is produced by the polar equation, r = a(1 + cos(Θ)), where a can be an integer. You can practise a cardioid with the following simulation and see how r and Θ do the magic to produce the shape. Rose Petals You can practise the creation of shapes …
Saturday, 13 April 2024
The exponential graph
The exponential function is a special exponential function; the gradient of any point on the curve is the same as the value of the function at that point.
Tuesday, 5 March 2024
Tuesday, 19 December 2023
10 Project Ideas for GCSE Computer Science Students
Password Generator: Design a password generator that produces secure and memorable passwords based on user-specified criteria. This project will introduce students to concepts like random number generation, string manipulation, and user input validation. They can add their own cipher method with ke…
Friday, 15 December 2023
Master the Cosine Rule with Our Interactive and Easy-to-Use Tool
The cosine rule is a fundamental concept in geometry that can be used to solve a variety of problems. However, it can be difficult to understand and apply, especially for students who are just learning about it. That's why we created a new interactive simulation that makes learning the cosine ru…
Thursday, 14 December 2023
Demystifying Decimal to Binary Conversion with Python - GCSE and A Level
Denary to binary conversion is a fundamental concept in computer science and digital electronics. It involves transforming a base 10 number, which represents the number system we commonly use, into a base 2 number, which is the language used by computers to store and manipulate information. As far a…
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