Mathematics Courses and Certifications

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

The Power Tower Puzzle

Explore the fascinating world of power towers and tetration through puzzles, Python programs, and visual explanations. Dive deep into convergence, complex numbers, and related mathematical concepts.

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

3Blue1Brown

What Makes the Natural Log "Natural"

Explore the natural logarithm's unique properties, its relationship with prime numbers, exponentials, and derivatives. Gain insights into mathematical concepts through engaging explanations and visual demonstrations.

• YouTube
• 1 hour 15 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

What Is Euler's Formula Actually Saying? - Lockdown Live Math

Explore Euler's formula through interactive questions, visualizations, and Python demonstrations. Gain deep insights into exponential functions, complex numbers, and their fascinating connections.

• YouTube
• 51 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

Visualizing Quaternions - 4D Numbers With Stereographic Projection

Explore 4D quaternions through stereographic projection, visualizing complex mathematical concepts in 3D space and understanding their geometric implications.

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

3Blue1Brown

Pi Hiding in Prime Regularities

Explore the fascinating connection between pi, primes, and complex numbers through animated explanations, uncovering hidden patterns and mathematical relationships in number theory.

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

Maths for Programmers Tutorial - Full Course on Sets and Logic

Comprehensive tutorial on discrete mathematics, covering sets and logic concepts essential for programmers. Includes detailed explanations, examples, and proofs of key principles and laws.

• freeCodeCamp
• 1-2 hours
• On-Demand
• Free Video

statisticsmatt

Sequences and Series of Real Numbers and Functions

Comprehensive exploration of real number sequences and series, covering convergence, limits, and advanced mathematical concepts for a deep understanding of analysis fundamentals.

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

Tyler Wallace

Math in Society

Explore voting systems, fair division, graph theory, growth models, financial math, statistics, and probability in this comprehensive applied mathematics course.

• YouTube
• 9 hours
• On-Demand
• Free Video

Math for Society

Explore misleading graphs, convex regions, compactness, polls, expected value, compound interest, exponential functions, and logarithms to enhance your mathematical understanding for real-world applications.

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

Transcendental Functions

Explore transcendental functions, including logarithms and exponentials, through proofs, examples, and problem-solving. Learn derivatives, integrals, and properties of these essential mathematical concepts.

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

Dr. Gajendra Purohit

Theory of Equation

Comprehensive exploration of equation theory, covering roots, transformations, and advanced solution methods for cubic and biquadratic equations.

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

Dr. Gajendra Purohit

Special Functions - Bessels and Legendre

Comprehensive exploration of Bessel's functions and Legendre polynomials, covering recurrence relations, proofs, and applications in partial differential equations.

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