Mathematical Modeling Courses and Certifications

APS Physics

Teaching the Whole Physics Student

Practical strategies for integrating career-relevant skills into physics education, supporting students holistically as they pursue diverse 21st-century careers in industry and academia.

• YouTube
• 1 hour 9 minutes
• Self-Paced
• Conference Talk

Prodramp

Forecast Any Mathematical Number Sequence with Regression - Machine Learning

Learn to generate and forecast mathematical number sequences using Python, pandas, numpy, and scikit-learn. Visualize data with matplotlib and apply regression models to predict future numbers in various function-based series.

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

Ross Dynamics Lab

Insect Outbreak Model - A Cusp Catastrophe Population Dynamics Example

Explore insect outbreak modeling using cusp catastrophe theory, analyzing population dynamics, fixed points, and bifurcations in a budworm-fir tree ecosystem.

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

Applied Algebraic Topology Network

Henry Adams and Enrique Alvarado - An Introduction to Morse Theory

Explore Morse theory's applications in topology, including CW complexes, key theorems, and simplification techniques, with real-world examples in material science.

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

North Carolina School of Science and Mathematics

Linear Data Analysis for Math Common Core Standards - Part 3

Explore linear functions for real-world data modeling, focusing on slope and intercept interpretation, linear regression, and residual analysis using interactive tools and practical examples.

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

North Carolina School of Science and Mathematics

Optimization and Modeling in AP Calculus

Learn techniques for solving optimization and modeling problems in calculus, including practical applications and step-by-step solutions for various real-world scenarios.

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

ICTP Mathematics

Fractal Dimensions in Nature and Mathematics - 2019

Explore fractal dimensions in nature and math, from intuitive integer dimensions to non-integer fractals. Learn alternative definitions, simple examples, and applications in dynamical systems.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video

ICTP Mathematics

Rotations of the Circle and Renormalization

Explore circle rotations, renormalization, and dynamical systems with Corinna Ulcigrai. Learn key concepts, proofs, and applications in this advanced mathematics lecture.

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

Society for Industrial and Applied Mathematics

Essentials of Math Modeling - Intro to Data Analysis Using MATLAB and Excel

Learn data analysis techniques using MATLAB and Excel, covering SI models, plotting, data importing, and problem-solving with real-world examples from mathematical modeling challenges.

• YouTube
• 1 hour 54 minutes
• Self-Paced
• Conference Talk

Society for Industrial and Applied Mathematics

Essentials of Math Modeling - Overview of the Math Modeling Process

Comprehensive overview of mathematical modeling process, covering problem definition, assumptions, variables, solution building, analysis, and result reporting. Includes hands-on problem-solving sessions.

• YouTube
• 1 hour 52 minutes
• Self-Paced
• Conference Talk

Fields Institute

What the Numbers Say - Endemicity - What’s Next?

Experts discuss COVID-19 endemicity, examining data-driven approaches to future outbreaks. Topics include variants, immunity, global perspectives, and policy challenges in transitioning to an endemic state.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Chance and Chaos - How to Predict the Unpredictable by Jens Marklof

Explore chaos theory, unpredictability, and mathematical tools for analyzing chaotic systems. Discover applications in weather forecasting, statistical physics, and everyday phenomena like coin tosses and bread kneading.

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

International Centre for Theoretical Sciences

Chemical Reaction Networks - Lecture 1

Explore stochastic chemical reaction networks, their examples, definitions, and the deficiency zero theorem in this comprehensive lecture on statistical physics of complex systems.

• YouTube
• 1 hour 47 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Asymmetry in Dynamics

Explore symmetries in dynamical systems and progress on Smale's conjecture about generic smooth systems having only trivial symmetries. Delve into complex analytic, Hamiltonian, and smooth dynamics.

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

International Centre for Theoretical Sciences

Branching Random Walks - Two Conjectures and a Theorem by Parthanil Roy

Explore branching random walks, their applications, and long-term behavior. Delve into conjectures and theorems with mathematician Parthanil Roy in this engaging lecture on probability theory.

• YouTube
• 1 hour 53 minutes
• Self-Paced
• Free Video