In this PowerPoint, we explore the topic of “1st order differential equations”. We present different approaches to solve these equations, with worked examples related. The integration skills are important to solve these equations and care must be taken when trying to integrate different types of functions, especially when it comes to exponential, logarithmic and trigonometric functions. The methods of “integration by parts” or using “substitutions” are also explored throughout the different examples. The last section contains a few examples of solved exam style questions which can be useful as preparation for future assessments. Hopefully, this resource can help students in their preparation for future exams but also as a backup teaching tool, when delivering this topic.

In this PowerPoint, we explore all the key features of complex numbers, expressed either in algebraic, polar or exponential forms. There are multiple explained examples of operations between complex numbers, complemented with diagrams and relevant information related to each situation studied. It also contains a few examples of solved exam style questions which can be useful as preparation for future assessments.