Imaginary Numbers Courses and Certifications

Imaginary Numbers Are Real

Explore the fascinating world of imaginary numbers, from their historical origins to complex functions and Riemann surfaces, in this comprehensive mathematical journey.

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

Michael Penn

The Natural Log of Imaginary Numbers

Explore the fascinating concept of natural logarithms applied to imaginary numbers, delving into complex analysis and mathematical properties of these unique numerical relationships.

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

TabletClass Math

Simplifying Complex and Imaginary Numbers Using the Conjugate Method

Master the technique of simplifying complex numbers through division using conjugates, with clear steps to solve expressions like 11/(−2−3i).

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

The World Is Not Real - Quantum Mechanics Needs Imaginary Numbers

Explore how imaginary numbers, once controversial in mathematics, are now fundamental to quantum mechanics and our understanding of nature's smallest components.

• YouTube
• 18 minutes
• On-Demand
• Conference Talk

TabletClass Math

Understanding the Square Root of Negative Numbers - Imaginary Numbers Explained

Discover why √-1 exists and how imaginary numbers extend real numbers into complex mathematics, essential for algebra, physics, and engineering applications.

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

3Blue1Brown

Complex Number Fundamentals - Lockdown Live Math

Explore the geometry of complex numbers through interactive demonstrations, Python examples, and practical applications in image rotation and angle addition, with engaging visuals and explanations.

• YouTube
• 1 hour 29 minutes
• On-Demand
• Free Video

3Blue1Brown

Intuition for i to the Power i - Lockdown Live Math

Explore the intuition behind i^i through visualizations, explanations, and interactive Q&A. Dive deep into complex exponents, exponential functions, and their geometric interpretations.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

3Blue1Brown

Imaginary Interest Rates - Lockdown Live Math

Explore compound interest, e, and their relation to circles in this engaging mathematical journey, connecting complex concepts to real-world applications like springs and rotations.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

The Organic Chemistry Tutor

Real Numbers

Comprehensive overview of real numbers, covering rational and irrational numbers, integers, and decimals. Includes practice problems and examples for better understanding.

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

Krista King

Algebra 2 - Complete Course on Operations, Functions, Systems, Polynomials, and Advanced Equations

Master essential Algebra 2 concepts from exponents and radicals to systems of equations, polynomials, factoring, rational expressions, imaginary numbers, and logarithmic functions.

• YouTube
• 3 hours 24 minutes
• On-Demand
• Free Video

Mark Newman

Demystifying the Fourier Transform - Concise and Informative Shorts

Discover the powerful Fourier Transform algorithm through short videos covering complex numbers, FFT, convolution, and real-world applications in data processing and analysis.

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

Everything Is The Same - Modeling Engineered Systems

Discover unified principles connecting mechanical, electrical, and chemical systems through mathematical modeling and differential equations.

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

Professor Leonard

How to Graph Advanced Polar Equations with Symmetry

Learn advanced techniques for graphing polar equations using symmetry, without converting to rectangular form, enhancing efficiency in plotting complex functions.

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

Insights into Mathematics

Problems With the Calculus - Math History - NJ Wildberger

Exploring historical controversies in calculus, including debates on derivatives, integrals, and curves, highlighting critiques from notable figures and ongoing mathematical challenges.

• YouTube
• 49 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