Applied Mathematics Courses and Certifications

Introduction to Dynamical Systems and Chaos

Explore dynamical systems, chaos theory, and complex systems. Learn about bifurcations, butterfly effect, strange attractors, and pattern formation. Gain insights into predictability and complexity in nature.

• Complexity Explorer
• On-Demand
• Free Online Course

The Science of Networks - C4 Public Lectures

Explore the emerging science of networks, their structure, and function across diverse systems. Learn about phase transitions, interdependence, and mathematical models for predicting network behavior and consequences.

• YouTube
• 1 hour 21 minutes
• On-Demand
• Free Online Course

The Science of Pandemics - C4 Public Lecture

Explore global pandemics, influenza threats, and the role of mathematical modeling in disease surveillance and control through advanced computing techniques.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Online Course

Demonology - Intelligence in Physics & Biology

Explore the historical role of intelligence in physics and biology, from Laplace's demon to modern information theory, and its implications for understanding natural phenomena.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Online Course

Sequential Choice and Self-Reinforcing Rankings

Explore the mathematical consequences of choice systems where option rankings influence selection probabilities, and popularity determines rankings, leading to potential convergence and unpredictability.

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

A Framework for Machine Learning of Model Error in Dynamical Systems

Explore a framework for machine learning to model error in dynamical systems, focusing on linear oscillators, partial information, and hybrid modeling techniques.

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

Using Curvature to Understand the Structure of Dynamics

Explore curvature's role in understanding attractor dynamics and its application in time-series data reconstruction, focusing on optimal time-delay parameter selection for delay-coordinate embeddings.

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

Using Buckingham's Π Theorem for Dimensionless Similarity Parameters in Macroecology

Explore dimensionless similarity parameters in macroecology using Buckingham's Π theorem, presented by Sandra Chapman from the University of Warwick.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Online Course

Mandelbrot, 1/f Noise, and The Mind's Eye in Complexity Science

Exploring Mandelbrot's contributions to 1/f noise, long-range dependence, and fractional models. Discusses the impact of cognitive diversity on scientific progress and the importance of visual thinking in mathematics.

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

The Statue in the Stone: How Dynamical Systems Discover Environmental Patterns

Explores how complex systems adapt to environmental patterns, favoring stable configurations that match external forces. Illustrates with toy models and swarm-robotics experiment.

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

The Dynamics of Computation and the Computational Power of Dynamics

Explore the intersection of computation and dynamics, examining computational models, physical systems, and mathematical concepts to understand the nature of computation and its manifestation in various forms.

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

The Unlikely Power of Uncertainty and Contradiction in Mathematics

Explore the power of uncertainty and contradiction in mathematics, and how these concepts can be applied to real-world situations, from disease modeling to political predictions.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Online Course

Comp. Methods in Enge

Explore computational methods for engineering problem-solving using Matlab, covering numerical techniques, matrix operations, and applications in finite element analysis, dynamics, and fluid mechanics.

• California Community Colleges System
• 17 weeks, 3 hours a week
• 19th Aug, 2024
• Paid Course

CALCULUS FOR BUSINESS & ECONOMICS

Explore differential and integral calculus techniques, focusing on their practical applications in business and economics problem-solving.

• California Community Colleges System
• 11 weeks, 5 hours a week
• 23rd Sep, 2024
• Paid Course

Mathematics Concepts and Applications

Explore practical applications of advanced math through hands-on activities in algebra, calculus, geometry, differential equations, and statistics.

• California Community Colleges System
• 15 weeks
• 26th Aug, 2024
• Paid Course