Mathematics Courses and Certifications

Mathologer

Ramanujan - Making Sense of 1+2+3+... = -1/12 and Co.

Explore the mathematical paradox of infinite sums equaling unexpected values, delving into Ramanujan's work, summation rules, and connections to the Riemann Zeta function.

• YouTube
• 35 minutes
• Self-Paced
• Free Video

World Science Festival

Does Math Reveal Reality?

Explore the profound connection between mathematics and physical reality with leading thinkers. Delve into whether math is a human invention or an intrinsic part of the universe's fabric.

• YouTube
• 1 hour 36 minutes
• Self-Paced
• Free Video

Numberphile

Navier-Stokes Equations

Explore the fascinating Navier-Stokes equations with Oxford mathematician Tom Crawford, discussing their significance and the $1 million Millennium Prize challenge they present.

• YouTube
• 21 minutes
• Self-Paced
• Free Video

Numberphile

Perfect Shapes in Higher Dimensions

Explore platonic solids and regular polytopes in higher dimensions with Carlo Sequin, delving into complex geometric concepts and their fascinating properties.

• YouTube
• 26 minutes
• Self-Paced
• Free Video

Numberphile

Sum of Natural Numbers - Second Proof and Extra Footage

Explore an alternative proof and additional insights on the intriguing sum of natural numbers, presented by physicists Ed Copeland and Tony Padilla from the University of Nottingham.

• YouTube
• 21 minutes
• Self-Paced
• Free Video

Numberphile

Epic Circles

Explore fascinating mathematical concepts like Pappus chains and circle inversion in this engaging video featuring Simon Pampena's insights on the beauty and complexity of circular geometry.

• YouTube
• 27 minutes
• Self-Paced
• Free Video

The Royal Institution

What Happens When Maths Goes Wrong? - With Matt Parker

Explore real-world consequences of mathematical errors with comedian Matt Parker. From bridge collapses to plane crashes, discover how small miscalculations can lead to big disasters in this entertaining and eye-opening talk.

• YouTube
• 1 hour 8 minutes
• Self-Paced
• Free Video

Perimeter Institute for Theoretical Physics

Neil Turok Public Lecture - The Astonishing Simplicity of Everything

Explore the universe's simplicity at largest and tiniest scales, uncovering new physics avenues and potential technological breakthroughs with renowned physicist Neil Turok.

• YouTube
• 1 hour 39 minutes
• Self-Paced
• Free Video

World Science Festival

The Limits of Understanding

Explore the implications of Gödel's incompleteness theorems on mathematics, philosophy, and artificial intelligence with experts in a thought-provoking discussion on the limits of human understanding.

• YouTube
• 1 hour 33 minutes
• Self-Paced
• Conference Talk

World Science Festival

Infinity - The Science of Endless

Explore the enigma of infinity through interdisciplinary discussions with leading thinkers, delving into its existence, types, and implications in mathematics, physics, and philosophy.

• YouTube
• 1 hour 24 minutes
• Self-Paced
• Conference Talk

Khan Academy

Linear Combinations and Span - Vectors and Spaces - Linear Algebra - Khan Academy

Explore linear combinations and spans of vectors in this Khan Academy video, enhancing your understanding of fundamental linear algebra concepts and their applications.

• YouTube
• 21 minutes
• Self-Paced
• Free Video

TED

Math Is the Hidden Secret to Understanding the World

Discover how mathematics unveils patterns and formulas as gateways to empathy and understanding, revealing the hidden secrets of our world through a change in perspective.

• YouTube
• 17 minutes
• Self-Paced
• Conference Talk

The Bright Side of Mathematics

Vektoranalysis

Umfassende Einführung in die Vektoranalysis: Von Kurven und Flächen bis zu Integralsätzen. Praktische Übungen vertiefen das Verständnis komplexer mathematischer Konzepte.

• YouTube
• 6 hours
• Self-Paced
• Free Video

The Bright Side of Mathematics

Mathematik für Ingenieure 3

Umfassende Einführung in mehrdimensionale Integration und Vektoranalysis für Ingenieure, mit Fokus auf praktische Anwendungen und Problemlösungen in der höheren Mathematik.

• YouTube
• 21 hours
• Self-Paced
• Free Video

The Bright Side of Mathematics

Maßtheorie und Integrationstheorie

Umfassende Einführung in Maß- und Integrationstheorie mit Fokus auf Sigma-Algebren, Lebesgue-Integral, Konvergenzsätze und fortgeschrittene Konzepte wie Produktmaße und Fubini-Satz.

• YouTube
• 4 hours 30 minutes
• Self-Paced
• Free Video