The principal focus of this subtopic is to develop an understanding of applications of calculus in a practical context, including the more accessible kinds of differential equations and volumes of solids of revolution, to solve problems.
Students develop an awareness and understanding of the use of differential equations which arise when the rate of change in one quantity with respect to another can be expressed in mathematical form. The study of differential equations has important applications in science, engineering, finance, economics and broader applications in mathematics.
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The diagnostic quiz for Differential Equations has been designed for a quick little revision quiz for the whole Differential Equations topic. Each sub topic of Differential Equations will be covered in the diagnostic quiz.
How to test yourself
Download Quiz The best practice is to use a pen and paper. Use the Download Quiz button to print out the quiz and print it out. There will be plenty of room for working so complete the questions on the paper. This is how the school will give it to you so practice this was as well. You will need to submit your responses online after the quiz is finished but we highly recommend practicing by downloading the quiz.
Complete online If you want to work through the diagnostic quiz "live", click the complete online button. This will give you the questions on the computer screen and you can work through the problem on a sheet of paper. Instantly, you can view the answer and submit your answers.
In both testing cases, you will need to submit your answers online for diagnostics. While both options are available, we recommend you put yourself in the "testing environment" by printing out the quiz.
Why do a Diagnostic Quiz?
Test Understanding - If you have completed the entire topic at school, run through the diagnostic to make sure that you have not forgotton anything
Revision / Test Preparation - The best way to identify which areas to focus on for an upcoming test or school quiz. If you are struggling in a particular subtopic in Differential Equations, the diagnostic quiz will pick this up. This means that you can then go back to the topic quizzes and do additional practice in the right area.