Saguaro 0 Report post Posted November 19, 2017 Hi, I'm just looking for a topic for my exploration and would like to do something to do with Eulers identity but I'm not quite sure what, maybe some applications , but I dont want to make it just look like a textbook explanation of it. It has to be suitable for the HL curriculum, does anyone have any ideas? Is investigating Eulers identity even a suitable topic? Share this post Link to post Share on other sites

kw0573 1,028 Report post Posted November 30, 2017 In the HL syllabus, you will go in depth about relationships among Euler's identity, complex numbers and trigonometry. It's a good starting point and you just start from there and develop more connections on your own or with help from reference materials. For reference, a simple derivation of the identity may take up 5-10 lines of math and few paragraphs. The IA is expected to be at least 6 pages so hopefully that give you an idea of how much more math you need. Here's a video https://www.youtube.com/watch?v=-dhHrg-KbJ0 that looks at a geometric interpretation of taking exponents of imaginary numbers. It's bit below IB expectations but that gives you another starting point. Share this post Link to post Share on other sites