Educational resources for self-learners
Houston Math Prep
Houston Math Prep offers clear and concise math tutorials for various levels.
Convex Optimization I, Lecture 1: Introduction and Convex Optimization Overview
Dive into the conceptual foundations of optimization with Professor Stephen Boyd from Stanford University. This lecture covers linear programming (including the Simplex Method as a case study), introduces convex sets and functions, explores the core concepts of convex optimization, and provides an introduction to gradient descent—all crucial for understanding machine learning, product design, and business applications.
Lecture 24: Introduction to First-order Systems of ODEs
This MIT OpenCourseWare lecture introduces the fundamental concepts of first-order systems of ordinary differential equations (ODEs). You will learn how to set up and approach solving systems of first-order linear ODEs, often using matrix methods, and gain a geometric interpretation of these systems. This lecture is perfect for students with a school math background interested in programming, startups, psychology, and product design, as it provides a strong foundation for modeling and understanding dynamic systems.
Linear Combinations, Span & Basis | Essence of Linear Algebra, Chapter 4
This lecture from 3Blue1Brown visually explains the core concepts of linear combinations, span, and basis in the context of vectors and geometry. It's part of a highly acclaimed series that builds intuition for linear algebra, making it ideal for students with a school math background interested in programming, product design, and computational thinking.
How Netflix Recommends Movies: Matrix Factorization
This video from Serrano.Academy explains how Netflix uses Matrix Factorization and Gradient Descent for its recommendation system. It's a great resource for understanding mathematical optimization and its application in programming, startups, psychology, and product design, with connections to graph theory.
Patrick Honner: A Party at the Edge of Human Knowledge
This episode features Patrick Honner, an award-winning mathematics teacher, reflecting on his journey with math, including its applications in technology and his personal rediscovery of math. It presents math in a narrative, relatable form suitable for students with a school math background interested in programming, psychology, product design, and startups. It touches on concepts like linear algebra and mathematical computing.
Coordinate Free Proofs: Centroid of a Triangle
This recitation video from MIT OpenCourseWare's Multivariable Calculus course demonstrates how to use vectors for coordinate-free proofs, specifically focusing on proving the centroid of a triangle. This session will enhance your understanding of vector applications in geometry.
Lex Fridman Podcast #472: Terence Tao – Hardest Problems in Mathematics, Physics & the Future of AI
Dive into a profound conversation with mathematician Terence Tao on the Lex Fridman Podcast. This episode explores mathematical modeling through the lens of Navier-Stokes equations, the geometry of space in general relativity, and numerical methods in the context of AI-assisted theorem proving. It also delves into the nature of mathematical discovery, problem-solving strategies, and the intersection of mathematics with programming, AI, physics, and philosophy. Perfect for those interested in the foundational and applied aspects of advanced mathematics, and its relevance to technology, startups, psychology, and product design.
Lex Fridman Podcast #472: Terence Tao – Hardest Problems in Mathematics, Physics & the Future of AI
Dive into a profound conversation with mathematician Terence Tao on the Lex Fridman Podcast. This episode explores mathematical modeling through the lens of Navier-Stokes equations, the geometry of space in general relativity, and numerical methods in the context of AI-assisted theorem proving. It also delves into the nature of mathematical discovery, problem-solving strategies, and the intersection of mathematics with programming, AI, physics, and philosophy. Perfect for those interested in the foundational and applied aspects of advanced mathematics, and its relevance to technology, startups, psychology, and product design.
Numerical Optimization Podcast by Typal Academy
Interviews with experts in various optimization specialties, exploring fun stories behind math formulas and their real-world applications, including connections to continuous ODEs. Features guests like Stanley Osher from UCLA.
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