STEM Courses and Certifications

Ben Eater

Building a VGA Display Circuit - The World's Worst Video Card?

Build a circuit that generates VGA sync timing so a monitor recognizes the signal and displays an image.

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

Ben Eater

Build an Arduino EEPROM Programmer

Build an Arduino Nano-based programmer to make programming EEPROM chips easier.

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

Ben Eater

Using an EEPROM to Replace Combinational Logic

Wire and program a 28C16 EEPROM, then use it to replace combinational logic such as a 7-segment decoder.

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

Ben Eater

Designing a 7-Segment Hex Decoder Circuit

Build a combinational logic circuit that decodes four-bit binary input into a one-digit hexadecimal display.

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

Ben Eater

Twos Complement - Representing Negative Numbers in Binary

Compare sign-bit, ones’ complement, and two’s complement representations of negative binary numbers, including why two’s complement simplifies hardware arithmetic.

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

Richard Behiel

The Mystery of Spinors - Understanding Mathematical Objects in Physical Reality

Trace how the topology of 3D rotations leads to spinors and their physical implications, including spin statistics and superconductivity.

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

Tom Rocks Maths

Oxford Calculus - Partial Differentiation, Critical Points, PDEs, and Fourier Series

Derives the heat equation and Fourier series, then uses separation of variables to solve heat equation examples.

• YouTube
• 6 hours 28 minutes
• Self-Paced
• Free Video

Michel van Biezen

Advanced Mechanics - Lagrangian Mechanics

Uses the Lagrangian equation to derive motion in mechanical systems, from Atwood machines and pendulums to rolling disks and oscillators.

• YouTube
• 3 hours 8 minutes
• Self-Paced
• Free Video

For the Love of Physics

Quantum Mechanics - Beginner to Advanced Lecture Series

Derives quantum mechanics from blackbody radiation and wave-particle duality, then applies Schrödinger’s equation to standard potential problems.

• YouTube
• 1 day 4 hours 23 minutes
• Self-Paced
• Free Video

For the Love of Physics

Special Theory of Relativity - Minkowski Spacetime Diagrams and Four Vectors

Explore how Lorentz transformations reshape measurements of time, length, and motion, then connect spacetime diagrams and four-vectors to relativistic predictions.

• YouTube
• 13 hours 59 minutes
• Self-Paced
• Free Video

Eddie Woo

Introduction to Complex Numbers

Explore how complex numbers become points and vectors, with multiplication revealing geometric transformations and polar form describing their structure.

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

Eddie Woo

Differential Calculus

Builds derivative rules for exponential, logarithmic, and trigonometric functions from first principles and visual intuition, then applies them to tangents and curve behavior.

• YouTube
• 14 hours 33 minutes
• Self-Paced
• Free Video

Eddie Woo

Working with Functions - Comprehensive Course on Domain, Range, Notation, and Graph Transformations

Explore how function behavior emerges from notation, domain and range, symmetry, and graph transformations.

• YouTube
• 15 hours 51 minutes
• Self-Paced
• Free Video

Eddie Woo

Further Proof by Mathematical Induction

Explore less routine induction proofs, including inequalities with nonstandard base cases and steps larger than one.

• YouTube
• 7 hours 5 minutes
• Self-Paced
• Free Video

Eddie Woo

Using Complex Numbers - Comprehensive Course on De Moivre's Theorem, Argand Diagrams, and Complex Analysis

Explore complex numbers geometrically on the plane, then use De Moivre’s theorem to solve for roots and derive trigonometric identities.

• YouTube
• 1 day 5 hours 22 minutes
• Self-Paced
• Free Video