The PowerPoint below provides an overview of material in this topic, including explanations and examples - for the full experience, open in a new tab then download it. All exercise references are to the new specification Pearson textbook - you can access the digital version for free or buy your own for extra practice.
Written summary notes are also given below for quick revision of key points, plus a selection of exam-style questions (with solutions) to test your understanding.
Section 1 Notes - Complex methods
Section 2 Notes - Equations with complex roots
Section 3 Notes - Argand diagrams
Section 4 Notes - Modulus and argument
Section 5 Notes - Complex loci
Mixed exercise 1 (Complex algebra) - SOLUTIONS
Mixed exercise 2 (Complex geometry) - SOLUTIONS
Topic assessment 1 (with solutions) - Complex algebra
Topic assessment 2 (with solutions) - Complex geometry
Topic assessment 3 (with solutions) - Complex loci
Use the videos below to support your understanding of the topic. The ones on the left are specific to the course, building up to demos of exam-style questions; the ones on the right are for your own amusement, although the alternative outlook may provide you with a deeper overall understanding and appreciation of the topic.
Topic videos:
Extra fun! The wonder of complex numbers...
Ever thought complex numbers just aren't abstract enough? Well worry no longer!
Some extra bits discussing group properties of quaternions (we will see some of these ideas when exploring matrices):