Computational Mathematics Courses and Certifications

MUNI Seminar Series

Computational Mathematics: Dynamics, Geometry, and Algebra in Numerical Integration

Explore computational mathematics at the intersection of dynamics, geometry, and algebra, focusing on geometric numerical integration and structure-preserving discretization of differential equations.

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

Imperial College London

Building Mathematical Lego - Computational Mathematics and the Firedrake Project

Discover how the Firedrake project uses modular software blocks to simulate weather, design machines, and model Earth's mantle convection through computational mathematics.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Hands-on Start to Wolfram Mathematica Training Tutorials

Explore Mathematica's powerful features: interactive notebooks, calculations, graphics, data analysis, and presentations. Learn from experts and create dynamic computational documents.

• Wolfram U
• 1 hour
• On-Demand
• Free Certificate

Introduction to Mathematica for Students and Teachers: Wolfram U

Comprehensive introduction to Mathematica, covering algebra to calculus with practical examples. Learn computational notebooks, plotting, graphics, equation solving, and more from an experienced instructor.

• Wolfram U
• 3 hours
• On-Demand
• Free Certificate

Institute of Chemical Technology (ICT);  NPTEL

Computational Mathematics with SageMath

Explore calculus, linear algebra, numerical methods, and linear programming using SageMath, a Python-based open-source computer algebra system. Gain hands-on experience with practical applications and data visualization.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

Hausdorff Center for Mathematics

Ulrich Bauer: Ripser - Efficient Computation of Vietoris–Rips Persistence Barcodes

Explore efficient computation of Vietoris-Rips persistence barcodes using Ripser software. Learn about matrix reduction algorithms, persistent cohomology, and discrete Morse theory applications in topological data analysis.

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

Hausdorff Center for Mathematics

Reinhard Kahle- How Computations Entered in Mathematical Foundations

Explore how computation became central to mathematical foundations, from Hilbert's Programme to the distinction between syntax and semantics in formalization and recursive theories.

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

Hausdorff Center for Mathematics

A Coupling Strategy for Nonlocal and Local Models With Applications

Explore nonlocal-local model coupling in elasticity through optimization, analyzing well-posedness and implementation. Includes numerical tests and applications in peridynamics and classical elasticity.

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

Society for Industrial and Applied Mathematics

Foundations of Deep Learning and AI: Instabilities, Limitations, and Potential

Exploring deep learning's instability, AI limitations, and potential impacts on scientific computing and medical imaging. Compares AI's current state to early 20th-century mathematics, predicting similar foundational challenges.

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

Banach Center

Fast Evaluation of Real and Complex Polynomials

Explore efficient techniques for evaluating real and complex polynomials, enhancing computational skills in mathematical analysis and numerical methods.

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

Inside Livermore Lab

Data-assisted Algorithms for Inverse Random Source Scattering Problems - DDPS

Explore data-assisted algorithms for inverse random source scattering problems, enhancing reconstruction accuracy with fewer realizations and comparing performance of various data-driven methods.

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

BIMSA

Construction of Solution Landscape for Complex Systems

Explore the novel "Solution Landscape" concept and its applications in complex systems, including nematic liquid crystals, crystalline phases, and Bose-Einstein condensates.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Wolfram

Rubi: Solving Integrals, One Rule at a Time

Master symbolic integration using Rubi's rule-based approach. Explore transparent, systematic methods for finding antiderivatives and compare with traditional algorithms.

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

Hausdorff Center for Mathematics

Achieving Higher-Order Convergence Rates in Numerical Homogenization

Explore advanced multiscale methods for higher-order convergence in numerical homogenization, covering elliptic and time-dependent problems with practical examples.

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

Isaac Newton Institute for Mathematical Sciences

Thomson's 5 Point Problem and Power-Law Potentials - Rothschild Lecture

Explore Thomson's 5 point problem and its phase transition constant through rigorous computer-assisted proof. Gain insights into electrostatic potential minimization and power-law potentials on spheres.

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