Computational Mathematics Courses and Certifications

NPTEL;  Chennai Mathematical Institute

Computational Commutative Algebra

This is an introductory course in computational commutative algebra. Topics in a typical first course in commutative algebra are developed along with computations in Macaulay2. The emphasis will be on concrete computations, more than on giving complete p…

• YouTube
• 1 day 7 hours
• On-Demand
• Free Video

Mathematica 11 Essential Training

54 ratings at LinkedIn Learning

Learn how to analyze data using the Mathematica 11 environment and language.

• LinkedIn Learning
• 3 hours 20 minutes
• On-Demand
• Free Trial Available

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

Vidyasagar University;  CEC

Numerical Analysis

Comprehensive exploration of numerical methods for solving mathematical problems, covering interpolation, approximation, equation solving, matrix operations, differentiation, integration, and differential equations.

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

Steve Brunton

Numerical Integration - Discrete Riemann Integrals and Trapezoid Rule

Explore numerical integration techniques including Riemann integrals, trapezoidal rule, and Simpson's rule. Learn to approximate definite integrals with Python and MATLAB implementations.

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

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The Ghost in the Machine

Explore the nature of mind, consciousness, and reality through an AI perspective, delving into cognitive science concepts and their implications for understanding human intelligence and selfhood.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Conference Talk

Simons Institute

Randomized Numerical Linear Algebra - Overview

Explore randomized numerical linear algebra techniques for efficient matrix computations, covering sampling methods, error bounds, and applications to least-squares problems and SVD.

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

IEEE

Towards Better Approximation of Graph Crossing Number

Explores advanced techniques for approximating graph crossing numbers, focusing on new frameworks and theorems for both general and bounded-degree graphs.

• YouTube
• 26 minutes
• On-Demand
• Conference Talk

IEEE

Pseudospectral Shattering the Sign Function and Diagonalization in Nearly Matrix Multiplication Time

Explore advanced matrix algorithms, including pseudospectral shattering and diagonalization techniques, for efficient computation in nearly matrix multiplication time.

• YouTube
• 20 minutes
• On-Demand
• Conference Talk

MathWorks

Solving Nonlinear Equations with MATLAB

Use root finding methods to solve nonlinear equations.

• MATLAB Academy
• 3 hours
• On-Demand
• Paid Course

Insights into Mathematics

Arrays and Matrices - Data Structures in Mathematics Math Foundations | NJ Wildberger

Introduction to arrays and matrices as 2D data structures, exploring definitions, examples, and extending to 3D arrays. Distinguishes between arrays and matrices, offering a novel approach to linear algebra.

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

Insights into Mathematics

Towards a More Computational Mathematics - Rational Trigonometry and New Foundations for Geometry

Explores a computational approach to mathematics using rational numbers, introducing rational trigonometry and its laws. Covers applications in geometry, spread polynomials, and projective trigonometry.

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

Insights into Mathematics

Difficulties With Real Numbers as Infinite Decimals - Real Numbers + Limits Math Foundations

Explores challenges in defining real numbers as infinite decimals from a computational perspective, highlighting technical obstacles in algorithms, arithmetic operations, and number equality recognition.

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

Insights into Mathematics

Computations with Homogeneous Coordinates - Universal Hyperbolic Geometry

Explore algebraic definitions of points and lines in hyperbolic geometry, learn key theorems, and understand their applications in computational geometry and Cartesian coordinates.

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

Association for Computing Machinery (ACM)

Learning Mixtures of Linear Regressions in Subexponential Time via Fourier Moments

Explore efficient algorithms for learning mixtures of linear regressions using Fourier moments, overcoming previous barriers and achieving subexponential time complexity.

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