Infinite series Courses and Certifications

Michael Penn

A Sum Two Ways

Explore two distinct methods for calculating the closed form of an intriguing infinite series, demonstrating advanced mathematical techniques and problem-solving approaches.

• YouTube
• 31 minutes
• On-Demand
• Free Online Course

The Organic Chemistry Tutor

Arithmetic Sequences and Arithmetic Series - Basic Introduction

Learn to find nth terms and sums of arithmetic sequences, differentiate finite sequences from infinite series, and solve word problems in this comprehensive introduction to arithmetic sequences and series.

• YouTube
• 44 minutes
• On-Demand
• Free Online Course

Great Thinkers, Great Theorems

126 ratings at The Great Courses Plus

<p>Rub shoulders with towering mathematical geniuses of history in this fun and compelling course that takes you inside the mechanics of some of math's greatest and most awe-inspiring achievements.</p>

• The Great Courses Plus
• 12 hours 15 minutes
• On-Demand
• Free Trial Available

Dr. Gajendra Purohit

Advance Calculus

Explore advanced calculus concepts including infinite series, partial differentiation, Jacobian transformations, and multivariable calculus through comprehensive lectures and problem-solving techniques.

• YouTube
• 12 hours
• On-Demand
• Free Online Course

Integral Calculus

Take the next step on the calculus journey with integrals and sums.

• Brilliant
• 30-40 hours
• On-Demand
• Paid Course

International Centre for Theoretical Sciences

The Finite Part of Infinity by Joseph Samuel

Explore the paradoxical equation 1+2+3...=-1/12, its mathematical interpretation, and its impact on physics, including the Casimir effect, with insights from differential geometry and topology.

• YouTube
• 1 hour 35 minutes
• On-Demand
• Free Online Course

ICTP Mathematics

Regularity Theory for Area-Minimizing Currents

Explore advanced concepts in geometric measure theory, including currents, boundaries, and regularity theory for area-minimizing surfaces, with applications to optimal transport problems.

• YouTube
• 1 hour 53 minutes
• On-Demand
• Free Online Course

TED

Paper Towns and Why Learning Is Awesome

John Green explores the joy of learning outside traditional classrooms, highlighting online communities as vibrant spaces for intellectual growth and shared curiosity about diverse topics.

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

Mathologer

Secrets of the Sum of Sums - Paradoxical Harmonic Series

Explore the fascinating properties of the harmonic series, from balanced warm-ups to leaning towers of math, and discover surprising insights into this infinite mathematical sequence.

• YouTube
• 47 minutes
• On-Demand
• Free Online Course

Mathologer

Euler's Infinite Pi Formula Generator

Explore Euler's genius in deriving famous infinite pi formulas, from Leibniz-Madhava to Basel, starting with his groundbreaking infinite product formula for sine.

• YouTube
• 29 minutes
• On-Demand
• Free Online Course

Mathologer

The Proof - E and Pi Are Transcendental

Explore the transcendence of e and pi through seven levels of mathematical enlightenment, from basic irrationality to advanced proofs, in this comprehensive and engaging video.

• YouTube
• 37 minutes
• On-Demand
• Free Online Course

Insights into Mathematics

Difficulties With Real Numbers as Infinite Decimals - Real Numbers + Limits Math Foundations

Explores challenges in defining real numbers as infinite decimals from a computational perspective, highlighting technical obstacles in algorithms, arithmetic operations, and number equality recognition.

• YouTube
• 52 minutes
• On-Demand
• Free Online Course

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 Online Course

Insights into Mathematics

Infinite Series in 17th and 18th Century Mathematics

Explore the historical development of infinite series, from geometric series to complex exponentials, with insights into key mathematicians and groundbreaking formulas of the 17th and 18th centuries.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Online Course

Insights into Mathematics

Building On-Sequences: From Constant to Polynumber - Math Foundations 100

Explores the concept of on-sequences, starting with constant and polynumber types. Covers arithmetic operations, visualization techniques, and connections to the Online Encyclopedia of Integer Sequences.

• YouTube
• 26 minutes
• On-Demand
• Free Online Course