Applied Mathematics Courses and Certifications

NPTEL-NOC IITM

Finite Volume Method for Convection and Diffusion - Discretization of Steady Convection Equation

Explore discretization techniques for steady convection equations, focusing on upwind difference schemes and accuracy analysis for convection-diffusion problems.

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

Dot Physics

Solving a Boundary Value Problem with the Finite Difference Method - Python

Implement finite difference method in Python to solve boundary value problems for differential equations. Learn practical numerical techniques.

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

Institut des Hautes Etudes Scientifiques (IHES)

The Bridge from Mathematical to Digital and Back

Explore the evolving landscape of computational analysis, signal processing, and machine learning. Gain insights on bridging the gap between mathematical and digital communities.

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

Institut des Hautes Etudes Scientifiques (IHES)

Parabolic Dynamics and Renormalization - An Introduction

Explore parabolic dynamical systems and their "slow" chaotic evolution through renormalization techniques, covering linear flows, horocycle flows, nilflows, and area-preserving flows.

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

Instituto de Matemática Pura e Aplicada

Fourier Analysis and Beyond I (2025)

Explore advanced Fourier analysis techniques and their applications across mathematical disciplines through expert mini-courses and research presentations from leading specialists.

• YouTube
• 12 hours 11 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Numerical Methods, Uncertainty Quantification, and Optimal Transport Theory - CEMRACS 2022

Master advanced mathematical methods including kinetic equations, Schrödinger bridges, evolutionary adaptation models, and optimal transport theory through expert lectures.

• YouTube
• 15 hours 10 minutes
• On-Demand
• Free Video

Jeremy Klassen

Math 31 Related Rates Problems

Master related rates through 27 comprehensive problem-solving examples, building skills to tackle complex calculus applications involving changing quantities and their relationships.

• YouTube
• 3 hours 10 minutes
• On-Demand
• Free Video

Complexity Explorer

A Visual Approach to Nonlinear Dynamics

Explore nonlinear dynamics through visual geometric approaches, covering 1D/2D/3D systems, bifurcations, chaos, and real-world applications like species competition and Lorenz models.

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

TabletClass Math

How to Solve a Pool Draining Rate Problem Using Proportions

Learn how to solve a real-world rate problem using proportions and unit conversions. Master the step-by-step process of calculating how long it takes to drain a pool with a specific pump rate.

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

Eddie Woo

Career Paths That Utilize Mathematics

Explore diverse career paths that leverage mathematics, from traditional fields to emerging industries, with insights from educator Eddie Woo.

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

TabletClass Math

How Long Does a Ladder Need to Be to Reach 90ft at a 75° Angle?

Learn how to solve a practical trigonometry problem about ladder safety using right triangle principles and the Pythagorean Theorem to determine the required ladder length to reach 90 feet at a 75° angle.

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

Instituto de Matemática Pura e Aplicada

Tribute Session to Jacob Palis - Dynamical Systems

Discover insights into dynamical systems through this tribute session honoring Jacob Palis, featuring expert perspectives from Brazil's premier mathematical research institute.

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

Steve Brunton

Bootstrapping and Monte Carlo Sampling in Statistics

Explore Monte Carlo sampling and bootstrapping techniques to estimate parameter errors in statistical problems, including Poisson estimation and normal variance analysis.

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

Eddie Woo

Loan Repayments - Setting up the Equations - 1 of 2

Discover how to establish mathematical equations for calculating loan repayments and understanding the underlying financial principles.

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

Tom Rocks Maths

Mathematical Modelling: Unlocking the Secret Code of the Universe

Explore how mathematical modeling unlocks the universe's secrets with Dr. Tom Crawford, from ocean pollution to finding the perfect partner, showcasing math's power to decode our world.

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