Applied Mathematics Courses and Certifications

Hausdorff Center for Mathematics

Combinatorial Optimization - Trimester Program Lectures

Explore advanced combinatorial optimization through expert lectures covering discrete convex analysis, submodular functions, graph theory, and algorithmic approaches.

• YouTube
• 2 days 9 hours 51 minutes
• Self-Paced
• Free Video

ICTP Mathematics

Summer School in Dynamics - Introductory and Advanced

Explore fundamental and advanced concepts in dynamical systems through circle maps, ergodic theory, and renormalization techniques with expert-led lectures and hands-on tutorials.

• YouTube
• 1 day 1 hour 23 minutes
• Self-Paced
• Free Video

ICTP Mathematics

Nonlocal Partial Differential Equations and Applications to Geometry, Physics and Probability

Explore advanced mathematical techniques in nonlocal partial differential equations with applications spanning plasma physics, geometry, and probability theory.

• YouTube
• 1 day 14 hours 4 minutes
• Self-Paced
• Free Video

ICTP Mathematics

School and Conference on Dynamical Systems

Explore advanced dynamical systems theory through expert lectures on chaotic dynamics, conservative systems, ergodic theory, and geometric aspects from leading mathematicians.

• YouTube
• 2 days 9 hours 28 minutes
• Self-Paced
• Free Video

ICTP Mathematics

School on Algebraic, Geometric and Probabilistic Aspects of Dynamical Systems and Control Theory

Explore algebraic, geometric and probabilistic aspects of dynamical systems through expert minicourses covering counting techniques, group actions, symbolic dynamics, and Brownian motion.

• YouTube
• 1 day 6 hours 1 minute
• Self-Paced
• Free Video

ICTP Mathematics

Dynamical Systems

Explore mathematical systems that evolve over time through 20 comprehensive lectures covering fundamental theory, applications, and advanced concepts in dynamical systems.

• YouTube
• 1 day 4 hours 18 minutes
• Self-Paced
• Free Video

ICTP Mathematics

Ergodic Theory

Dive into the mathematical foundations of dynamical systems through comprehensive ergodic theory principles and applications in this advanced diploma program.

• YouTube
• 13 hours 20 minutes
• Self-Paced
• Free Video

Complexity Explorer

Computation in Complex Systems

Explore computational complexity theory through algorithms, P vs NP problems, phase transitions, and universal computation models like Turing machines and cellular automata.

• YouTube
• 6 hours 46 minutes
• Self-Paced
• Free Video

Demonology - Intelligence in Physics & Biology

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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
• Self-Paced
• Free Video

Simple Snippets

Maximization LPP Problem Using Graphical Solution - Example 1 - Operational Research

1 rating

Comprehensive tutorial on solving Linear Programming Problem maximization using graphical method, covering problem conversion, constraint plotting, feasible region identification, and profit maximization.

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

Irreversibility of Biological Active Matter

Explore the fascinating world of biological active matter, focusing on irreversibility in living systems and its implications for understanding complex dynamics and nonreciprocal behaviors.

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

Cascading Transitions in the Behavioral and Social Sciences

Explore cascading transitions in psycho-social systems, focusing on opinion change, learning, and addiction. Discover how these multilevel processes work and their potential impacts on society.

• YouTube
• 1 hour 9 minutes
• Self-Paced
• Free Video

Algorithmic Foundations of Emergent Behavior in Analog Collectives

Explore self-organizing systems, programmable matter, and algorithms driving emergent behavior in analog collectives. Discover challenges and applications in this cutting-edge field.

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

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
• Self-Paced
• Free Video

Balance, Criticality, and Antifragility in Complex Systems

Explore complex systems thinking and its philosophical implications with Carlos Gershenson. Delve into balance, criticality, antifragility, and the intersections between Eastern and Western philosophical traditions and modern scientific concepts.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video