Complex Numbers Courses and Certifications

A-level Further Mathematics for Year 12 - Course 1: Complex Numbers, Matrices, Roots of Polynomial Equations and Vectors

Develop your thinking skills, fluency and confidence in A-level further maths and prepare for undergraduate STEM degrees.

• edX
• 7 weeks, 2-4 hours a week
• On-Demand
• Free Online Course (Audit)

Eddie Woo

Introduction to Complex Numbers

Discover the power of complex numbers, from imaginary units to polar forms, unlocking mathematical realities through geometric interpretations and elegant identities.

• YouTube
• 5 hours 46 minutes
• On-Demand
• Free Video

Eddie Woo

Using Complex Numbers - Comprehensive Course on De Moivre's Theorem, Argand Diagrams, and Complex Analysis

Master De Moivre's theorem, complex roots, Argand diagrams, and trigonometric identities through geometric interpretations and algebraic proofs in this comprehensive mathematics series.

• YouTube
• 1 day 5 hours 22 minutes
• On-Demand
• Free Video

Eddie Woo

Introduction to Complex Numbers

Master complex numbers from basic arithmetic to Euler's identity, exploring polar forms, geometric interpretations, and polynomial applications through comprehensive examples.

• YouTube
• 13 hours 47 minutes
• On-Demand
• Free Video

Excellence Academy

Complex Numbers 2 - Argand Diagram, Modulus, and Form Conversion

1 review

Master complex number representations: modulus calculation, form conversions, and Argand diagram plotting with practical examples.

• YouTube
• 43 minutes
• On-Demand
• Free Video

Insights into Mathematics

Complex Numbers and Curves in 19th Century Mathematics

Explore complex numbers, algebraic curves, and their intersection with projective geometry and topology. Discover how these concepts revolutionized 19th-century mathematics and laid the foundation for modern algebraic geometry.

• YouTube
• 58 minutes
• On-Demand
• Free Video

Michael Penn

Why Are There No 3 Dimensional "Complex Numbers"?

Explores the mathematical reasons behind the absence of 3D complex numbers, delving into algebra, quaternions, and the limitations of number systems beyond 2D complex planes.

• YouTube
• 37 minutes
• On-Demand
• Free Video

Professor Leonard

Intermediate Algebra - An Introduction to Operations with Complex Numbers

Explore operations with complex numbers, including addition, subtraction, multiplication, and division, enhancing your understanding of advanced algebraic concepts.

• YouTube
• 1 hour 42 minutes
• On-Demand
• Free Video

Valerio Velardo - The Sound of AI

Complex Numbers for Audio Signal Processing

Explore complex numbers visually for audio signal processing, covering Cartesian and polar representations, Euler's formula, and their application in Fourier transforms.

• YouTube
• 26 minutes
• On-Demand
• Free Video

Insights into Mathematics

How to Construct the True Complex Numbers I - Famous Math Problems

Exploring the construction of true complex numbers using field theory and linear algebra, challenging traditional approaches and introducing novel concepts for a modern understanding.

• YouTube
• 37 minutes
• On-Demand
• Free Video

Insights into Mathematics

Complex Numbers and Algebra - Math History - NJ Wildberger

Explore complex numbers' history, applications in cubic equations, and geometric representations. Delve into the Fundamental Theorem of Algebra and its proofs by d'Alembert and Gauss.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Steve Brunton

Complex Numbers and Functions

Explore complex numbers, Euler's formula, and functions of Z in engineering mathematics, covering geometric interpretations and convergent Taylor series.

• YouTube
• 49 minutes
• On-Demand
• Free Video

Excellence Academy

Complex Numbers: De-Moivre's Theorem - Lecture 5

Master De-Moivre's theorem and its applications in complex number problems, including expansions and polar form multiplication.

• YouTube
• 33 minutes
• On-Demand
• Free Video

Excellence Academy

Complex Numbers: Argand's Diagram

Explore Argand's Diagram and its application in solving complex number problems, building on previous lessons in the series.

• YouTube
• 30 minutes
• On-Demand
• Free Video

Excellence Academy

Complex Numbers 3 - Polar Form Multiplication and Division

Aprenda a multiplicar e dividir números complexos na forma polar, compreendendo seu significado e álgebra com exemplos práticos.

• YouTube
• 40 minutes
• On-Demand
• Free Video