Mathematics Courses and Certifications

Isaac Newton Institute for Mathematical Sciences

On Growth and Form and Mathematics: Reading D'Arcy Thompson 100 Years On - Rothschild Lecture

Explore the enduring impact of D'Arcy Thompson's "On Growth and Form" on modern science, examining its themes and relevance to understanding morphogenesis.

• YouTube
• 1 hour 10 minutes
• Self-Paced
• Free Video

Institut Henri Poincaré

Taming Infinities: Renormalisation Techniques in Physics and Mathematics

Explorez les techniques de renormalisation pour maîtriser les infinis en physique et mathématiques, avec des applications récentes en théorie des probabilités.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

NCCR SwissMAP

The Mathematics of TQFTs and Defects

Explore advanced mathematical concepts in topological quantum field theories and defects with Berkeley University's expert.

• YouTube
• 5 hours 17 minutes
• Self-Paced
• Free Video

NCCR SwissMAP

Introduction to Indeterminism in Physics and Intuitionistic Mathematics

Explore indeterminism in physics and intuitionistic mathematics with Professor Nicolas Gisin, delving into classical chaos and Bohmian mechanics.

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

BIMSA

A Geometrical Interpretation of Universally Quantified Inequalities and Its Applications to Mathematics

Explore a geometrical interpretation of universally quantified inequalities and its applications across mathematics, focusing on Shannon entropy and connections to various mathematical branches.

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

ACM SIGPLAN

A Functional EDSL for Mathematics Visualization That Compiles to JavaScript - Demo

Explore Sylvester, a functional DSL for creating interactive math visualizations using F# and JSXGraph, designed for accessibility and ease of use without requiring web development expertise.

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

Hausdorff Center for Mathematics

Injecting Formal Mathematics into LaTeX

Explore techniques for integrating formal mathematical proofs into LaTeX documents, enhancing precision and verifiability in academic writing and research publications.

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

Fields Institute

S-duality for Boundary Conditions in Mathematics

Explore S-duality for boundary conditions from a mathematical perspective, delving into advanced concepts in geometry and physics.

• YouTube
• 1 hour 59 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Building Grammar Libraries for Mathematics and Avoiding Manual Work

Explore techniques for constructing efficient grammar libraries in mathematics, focusing on automation to minimize manual effort and enhance productivity in formal language development.

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

Institute for Pure & Applied Mathematics (IPAM)

Diverse Intelligences and Problem Solving - Mathematics of Intelligences Tutorials

Explore diverse intelligences in problem-solving through landscape models, theorems, and perspective analysis. Gain insights into creative tasks and cross-perspective communication.

• YouTube
• 1 hour 14 minutes
• Self-Paced
• Free Video

INI Seminar Room 2

Mathematics of Movement: Integrating Conceptual and Quantitative Approaches in Animal Ecology and Cell Biology

Explore mathematical approaches to understanding movement patterns in animal ecology and cell biology, integrating quantitative methods with conceptual frameworks for advanced biological analysis.

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

Topos Institute

Unraveling the Unreasonable Effectiveness of Mathematics in Natural Sciences

Explore the philosophical puzzle of mathematics' remarkable applicability to natural sciences, examining historical perspectives and challenging Wigner's "miracle" characterization through practical examples.

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

Topos Institute

Sociotechnical Infrastructure for Mathematics Research

Explore the intersection of technology, human collaboration, and mathematical research infrastructure through an analysis of cyberinfrastructure's role in advancing scientific discovery.

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

Topos Institute

Normalizing Ethical Reasoning in Mathematics - Teaching Resources and Responsible Development

Explore the integration of ethical considerations in mathematical work through practical tools and frameworks for identifying and addressing ethical implications in mathematical research and teaching.

• YouTube
• 1 hour 28 minutes
• Self-Paced
• Free Video

Dublin Institute for Advanced Studies DIAS

Mathematics and Physics: An Entangled Tango - The Dance Between Theoretical Physics and Pure Mathematics

Explore the fascinating interplay between theoretical physics and pure mathematics, from historical connections to modern string theory and unified theories of everything.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video