Complex Analysis - Overview & Motivation, Complex Arithmetic, Euler's Formula & Polar Coordinates
Steve Brunton via YouTube
Overview
This course on complex analysis aims to introduce learners to complex numbers, their arithmetic operations, Euler's formula, and representing complex numbers in polar coordinates. By the end of the course, students will be able to perform basic arithmetic operations on complex numbers and understand their representation in polar form. The teaching method involves lectures and explanations of key concepts. This course is intended for individuals interested in mathematics, particularly those looking to deepen their understanding of complex numbers and their applications in differential equations.
Syllabus
Introduction and motivation
Euler's formula
Complex addition, subtraction, multiplication, and division
Complex numbers in polar coordinates: Radius and phase angle
Where this is going
Taught by
Steve Brunton