Applied Mathematics Courses and Certifications

Michael Penn

Solving Hard ODEs With Variation of Parameters

Master variation of parameters to solve challenging non-homogeneous ODEs in this step-by-step 10-minute walkthrough that makes complex differential equations click.

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

Michael Penn

Using Wishful Thinking to Solve a Differential Equation

Discover an unconventional approach to solving differential equations through creative mathematical reasoning and intuitive problem-solving techniques.

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

TabletClass Math

Calculus Made Easy - Understanding the Basics in Minutes

Discover calculus in plain English with simple explanations of derivatives and integrals, real-world applications, and an approachable breakdown that makes this seemingly complex subject accessible to anyone regardless of math background.

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

NPTEL-NOC IITM

Introduction to Optimization Theory - Prerequisites and Key Elements

Discover the fundamentals of algorithm selection, problem types, and optimization concepts with Joe Keller's example of longevity.

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

NPTEL-NOC IITM

Introduction to Optimization - Types of Problems - Lecture 2

Explore different types of problems in algorithm selection, including unconstrained vs constrained problems, with insights from Joe Keller's longevity example.

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

Eddie Woo

Why Do You Love Mathematics?

Discover the passion behind mathematics as Eddie Woo shares his personal journey and insights into why mathematics is a subject worth loving.

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

Michael Penn

Solving a Tricky ODE with Reduction of Order - Step by Step

Master the reduction of order technique to solve challenging second-order differential equations through detailed step-by-step analysis in this live mathematics lecture.

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

Alan Turing Institute

Approximating High Dimensional Functions - Mathematical Foundations Workshop

Explore mathematical foundations for approximating complex high-dimensional functions, covering tensor methods, ridge functions, and modern approaches to overcome dimensionality challenges.

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

Fields Institute

Workshop on Distance Geometry - Semidefinite Programming and Applications

Explore advanced mathematical techniques connecting distance geometry, semidefinite programming, and polynomial optimization through expert presentations and research insights.

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

Institute for Pure & Applied Mathematics (IPAM)

Integrability and Algebraic Combinatorics

Explore cutting-edge connections between integrable probability and algebraic combinatorics through vertex models, particle systems, and symmetric functions.

• YouTube
• 19 hours 4 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Spectral Methods in Algebra, Geometry, and Topology

Explore advanced spectral methods across tensor triangular geometry, equivariant stable homotopy, representation theory, and chromatic homotopy theory.

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

Hausdorff Center for Mathematics

Continuous Approaches to Discrete Optimization

Explore cutting-edge research connecting continuous optimization methods to discrete problems through expert talks on interior point methods, algorithms, and computational advances.

• YouTube
• 16 hours 4 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Summer School on Modern Directions in Discrete Optimization

Explore cutting-edge techniques in discrete optimization including parameterized algorithms, tropical geometry applications, interior point methods, and approximation algorithms.

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