Applied Mathematics Courses and Certifications

Introduction to Dynamical Systems and Chaos

125 reviews

In this course you'll gain an introduction to the modern study of dynamical systems, the interdisciplinary field of applied mathematics that studies systems that change over time.

• Complexity Explorer
• 10 weeks, 3-6 hours a week
• On-Demand
• Free Online Course

• Best of All Time

Mathematical Applications for Trades

Master essential mathematical skills for technical trades, including calculator operations and precision measurement tools like calipers and micrometers for real-world problem-solving.

• California Community Colleges System
• 16 weeks, 3 hours a week
• 20th Jan, 2025
• Paid Course

Why There Are No Three-Headed Monsters

Explore developmental constraints, brain tumors, and marriage dynamics through mathematical biology, offering insights into morphogenesis, medical interventions, and relationship predictions.

• YouTube
• 1 hour 19 minutes
• On-Demand
• Free Video

From Ronald Ross to ChatGPT: The Birth and Strange Life of the Random Walk

Explore the fascinating history of random walks in mathematics, from mosquito control to AI, and their impact on various fields including physics, finance, and theology.

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

Steve Brunton

A Compressed Overview of Sparsity

Explore compressed sensing in engineering mathematics, covering sparsity, compression techniques, and L1 minimization. Learn key principles and applications beyond image processing.

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

Society for Industrial and Applied Mathematics

Path-Dependent PDEs and Mean Field Control - SIAM FME Virtual Talk Series

Explore advanced mathematical concepts in finance: path-dependent PDEs, rough volatility, and mean field control. Gain insights from experts on convergence rates and numerical analysis in financial modeling.

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

Institute for Mathematical Sciences

Optimization in Theory and Practice

Explore optimization techniques and their real-world applications with insights from Stephen Wright of University of Wisconsin-Madison, blending theoretical foundations and practical implementations.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

From Materials to Minds: Nonlocal Approaches to Damage and Degeneration

Explore nonlocal analysis for modeling damage in materials, drawing parallels to neural networks and potential applications in cognitive degeneration research.

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

Hausdorff Center for Mathematics

Dynamic Brittle Fracture as a Well-Posed Nonlocal Initial Value Problem

Explore a nonlocal model for dynamic brittle damage, examining its phases, evolution, and energy balance. Learn how this approach relates to Griffith fracture energy and Navier's equation for crack propagation.

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

Centre de recherches mathématiques - CRM

Is the World Smooth or Non-smooth? Mathematical Models in Dynamic Systems

Explore mathematical modeling approaches examining smooth vs non-smooth dynamics across climate, energy transfer, and neural systems, revealing insights into complex real-world phenomena.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

Banach Center

How Math Can Help with Engineering Problems

Odkryj, jak matematyka rozwiązuje problemy inżynieryjne, wykorzystując zaawansowane metody i narzędzia do analizy złożonych systemów technicznych.

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

Applied Algebraic Topology Network

Applied Topology for Discrete Structures

Explore topological concepts applied to discrete structures modeling real data, bridging network science and applied topology for innovative analysis of complex systems.

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

Institute for Pure & Applied Mathematics (IPAM)

Slow Time-Scale Behavior of Fast Microscopic Dynamics - IPAM at UCLA

Explores computational methods for understanding slow time-scale behavior of rapid microscopic dynamics, with applications in materials modeling and plasticity. Presents theory and examples for coarse-graining complex systems.

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

Society for Industrial and Applied Mathematics

Mathematical Framework and Numerical Aspects of Adapted Optimal Transport

Explore mathematical frameworks for transfer learning and numerical aspects of adapted optimal transport in financial mathematics and engineering through expert talks from leading researchers.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Society for Industrial and Applied Mathematics

The Role of Mathematics in Solving the World's Main Challenges

Explore how mathematics and computation contribute to understanding climate, energy, the cosmos, and life itself through TED-style talks by renowned computational scientists.

• YouTube
• 2 hours 33 minutes
• On-Demand
• Free Video