Mathematics Courses and Certifications

Let's Code Physics

Linear Algebra for Physics with Python

Master linear algebra fundamentals through physics applications using Python, covering matrix operations, circuit analysis, and Lorentz transformations.

• YouTube
• 1 hour 17 minutes
• Self-Paced
• Free Video

Let's Code Physics

Euler-Cromer Method for Beginners

Master the Euler-Cromer numerical method for physics simulations, covering position, velocity, forces, energy conservation, and angular momentum with practical coding examples.

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

Let's Code Physics

Learning the Runge-Kutta Method

Master numerical integration techniques for solving differential equations using Runge-Kutta methods, from basic concepts to adaptive step sizes and higher-order systems.

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

Let's Code Physics

Interpolation for Beginners

Discover linear interpolation, Lagrange polynomials, cubic splines, and data visualization techniques in this beginner-friendly physics programming series.

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

Let's Code Physics

Numerical Integration for Beginners

Discover numerical integration techniques from Riemann sums to Monte Carlo methods, including midpoint, trapezoidal, Simpson's rules, and double integrals.

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

Fields Institute

Operator Algebra Seminar - Advanced Topics in C*-Algebras and Groupoids

Explore advanced operator algebra theory through specialized seminars covering C*-algebras, groupoids, K-theory, and classification problems in functional analysis.

• YouTube
• 1 day 17 hours 2 minutes
• Self-Paced
• Free Video

Fields Institute

Fields Number Theory Seminar

Explore advanced number theory through expert seminars covering Galois theory, elliptic curves, L-functions, Shimura varieties, and arithmetic geometry from leading researchers.

• YouTube
• 3 days 11 hours 48 minutes
• Self-Paced
• Free Video

Fields Institute

Automorphic Forms and Representation Theory - An Introduction to the Langlands Program

Dive into automorphic forms and representation theory through the groundbreaking Langlands Program, exploring deep connections between number theory and harmonic analysis.

• YouTube
• 1 day 6 hours 51 minutes
• Self-Paced
• Free Video

Fields Institute

Tame Geometry, Transseries and Applications to Analysis and Geometry

Delve into advanced mathematical structures through o-minimality, transseries, and tame geometry with applications to analysis, singularities, and differential equations.

• YouTube
• 6 days 23 hours 16 minutes
• Self-Paced
• Free Video

Fields Institute

Focus Program on Analytic Function Spaces and their Applications

Explore advanced mathematical concepts in Hardy spaces, Bergman spaces, model theory, and operator analysis through comprehensive mini-courses and specialized workshops.

• YouTube
• 1 week 1 day 13 hours 52 minutes
• Self-Paced
• Free Video

Fields Institute

Symplectic Geometry

Master symplectic manifolds, Darboux theorem, Hamiltonian mechanics, moment maps, and advanced topics like toric varieties, quantization, and mirror symmetry in this comprehensive mathematical framework.

• YouTube
• 1 day 11 hours 57 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Dualities in Topology and Algebra 2023

Explore advanced mathematical concepts connecting topology and algebra through expert lectures on chromatic homotopy theory, Grothendieck duality, and stratification theorems.

• YouTube
• 1 day 15 hours 59 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Ergodic Theory and Dynamical Systems 2022

Explore advanced topics in ergodic theory and dynamical systems through expert lectures on Diophantine approximation, homogeneous dynamics, and measure theory applications.

• YouTube
• 1 day 16 hours 22 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Combinatorial Algebraic Geometry - Tropical and Real

Explore advanced tropical geometry, real algebraic geometry, and combinatorial methods through expert lectures covering polytopes, optimization, quantum field theory, and geometric applications.

• YouTube
• 1 day 14 hours 25 minutes
• Self-Paced
• Free Video

Applied Algebraic Topology Network

Topological Complexity Seminar - Applied Algebraic Topology Network

Explore advanced mathematical concepts in topological complexity through expert seminars covering motion planning, manifold theory, and algebraic topology applications.

• YouTube
• 1 day 17 hours 29 minutes
• Self-Paced
• Free Video