Applied Mathematics Courses and Certifications

Fields Institute

Modelling Immunity

Explore mathematical models of immunity generation and waning, fitted to data for estimating seroprevalence in Canadian jurisdictions, with applications to COVID-19 vaccination programs.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Fields Institute

Smooth Dynamic vs Symbolic Dynamic

Explore the interplay between smooth and symbolic dynamics in this advanced mathematics lecture by Olivier Mathieu, delving into complex theoretical concepts and their applications.

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

Fields Institute

The Mathematics of a Model of the Mind in Psychology

Explore the mathematical foundations underlying psychological models of the mind, delving into set theory and its applications in cognitive science.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

Fields Institute

Modelling of Disease Spread Through Heterogeneous Population

Explore spatial variability in disease spread using PDEs with state-dependent diffusion. Examine density-dependent infection rates and super-diffusive propagation, with a case study on coronavirus in Nova Scotia.

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

Fields Institute

Investigating Transmission-Blocking Anti-malarial Drugs: A Mathematical Modelling Approach

Explore mathematical models assessing transmission-blocking antimalarial drugs' impact on disease control, focusing on treatment coverage, drug efficacy, and protective effects in malaria hotspots.

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

ICTP Mathematics

Standard and Less Standard Asymptotic Methods - Lecture 2

Explore advanced asymptotic methods in mathematics, delving into both standard and unconventional approaches to enhance problem-solving skills and theoretical understanding.

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

ICTP Mathematics

SRB Measures and Young Towers - Lecture 4

Explore advanced techniques in dynamical systems, focusing on SRB measures and Young Towers. Learn about recent developments and applications in nonuniformly hyperbolic systems.

• YouTube
• 2 hours 23 minutes
• On-Demand
• Free Video

ICTP Mathematics

Symbolic Dynamics for Nonuniformly Hyperbolic Systems - Lecture 5

Explore advanced techniques in symbolic dynamics for complex hyperbolic systems. Gain insights into infinite Markov partitions and their applications in studying statistical properties of dynamical systems.

• YouTube
• 1 hour 29 minutes
• On-Demand
• Free Video

ICTP Mathematics

SRB Measures and Young Towers - Lecture 2 of 4

Explore SRB measures and Young Towers in nonuniformly hyperbolic systems. Learn advanced techniques for studying statistical properties of complex dynamical systems.

• YouTube
• 1 hour 51 minutes
• On-Demand
• Free Video

ICTP Mathematics

SRB Measures and Young Towers - Lecture 1

Explore groundbreaking techniques in Ergodic Theory applied to differentiable dynamical systems. Learn about SRB measures, Markov Partitions, and Young Towers in nonuniformly hyperbolic systems.

• YouTube
• 2 hours 7 minutes
• On-Demand
• Free Video

ICTP Mathematics

Symbolic Dynamics for Nonuniformly Hyperbolic Systems - Lecture 1 of 5

Explore symbolic dynamics for nonuniformly hyperbolic systems, focusing on Markov Partitions and Young Towers. Learn advanced techniques to analyze complex dynamical systems and their statistical properties.

• YouTube
• 2 hours 6 minutes
• On-Demand
• Free Video

ICTP Mathematics

Dynamics of the Geodesic Flow on Surfaces Without Conjugate Points - Lecture 4

Explore geodesic flow dynamics on surfaces without conjugate points, focusing on uniqueness and ergodicity of maximal entropy measure and mixing properties of the flow.

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

ICTP Mathematics

Dynamics of the Geodesic Flow on Surfaces Without Conjugate Points - Lecture 2

Explore geodesic flow dynamics, maximal entropy measures, and Patterson-Sullivan measures on ideal boundaries in surfaces without conjugate points.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

ICTP Mathematics

Mating Quadratic Maps with the Modular Group

Explore holomorphic correspondences and their dynamics, focusing on a specific family of (2:2) correspondences and their relationship to the modular group and rational maps.

• YouTube
• 1 hour 22 minutes
• On-Demand
• Free Video

Fields Institute

Machine Learning and Dynamical Systems Meet in Reproducing Kernel Hilbert Spaces

Explore the intersection of machine learning and dynamical systems in Reproducing Kernel Hilbert Spaces, offering insights into advanced mathematical concepts and their applications.

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