This course on complex number fundamentals aims to introduce learners to the geometry of complex numbers. The course covers topics such as imaginary numbers, rotation animations, multiplication facts, Python examples, and the "cis" shorthand. The teaching method includes live question setups with on-screen stats and graphing calculator demonstrations. The course is intended for individuals interested in deepening their understanding of complex numbers and their geometric interpretations.
Overview
Syllabus
- W3 Results.
- W4 Prompt.
- Ask What would you call 'imaginary numbers'?.
- Startingpoint & assumptions.
- W4 Results.
- Q1 Prompt.
- Q1 Process.
- RotatingCoordinates.
- Q1 Result.
- Q2.
- Q3 Prompt.
- Q3 Results.
- RotationAnimation.
- 3 facts about Multiplication.
- Q4 Prompt.
- Ask imaginary I vs physics i&j.
- Q4 Result.
- GeoGebraDemo.
- Q5 Prompt.
- Q5 Results.
- Q5 Solution.
- RotatingImages Example.
- PythonExample.
- PythonImage Rotation Example.
- Ask Vectors & Matrices for rotation.
- Q6 Prompt.
- Q6 Results.
- Q6 Solution.
- RedefiningAngle Addition.
- Q7 Prompt.
- Ask Can we do without complex numbers?.
- Q7 Results.
- Q7 Solution.
- Q8 Prompt.
- Ask sum/difference of angles.
- Q8 Results.
- Q8 Solution.
- DesmosExample.
- Bringing it all together.
- The "cis" shorthand explained.
- Q9 Prompt.
- Q9 Results.
- ClosingRemarks.
Taught by
3Blue1Brown
