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

Trig & PreCalculus Vol 1

Comprehensive introduction to complex numbers, exponential and logarithmic functions, angles, trigonometric concepts, and graphing, preparing students for advanced mathematical studies.

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

Algebra 1 - Unit 11

Master quadratic equations: perfect squares, completing the square, quadratic formula, imaginary numbers, and discriminants. Gain essential problem-solving skills for advanced algebra.

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

Algebra 2 Course - Unit 8

Master advanced algebraic concepts: radicals, complex numbers, and imaginary numbers. Learn to solve equations, simplify expressions, and perform operations in the complex plane.

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

Algebra 2 Course - Unit 9

Explore quadratic equations through visualization, perfect squares, completing the square, and the quadratic formula. Learn about discriminants and complex roots for a comprehensive understanding.

• YouTube
• 3 hours 30 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

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

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

TEDx

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

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

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

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

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: Definition, Addition, Subtraction, Multiplication, and Division

Learn to define, add, subtract, multiply, and divide complex numbers with clear examples and explanations of complex number algebra.

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