Module F — Go Deeper

From the trade to engineering

Finished the certificates and want the theory behind the theory? This is a free, self-paced Electrical Engineering foundation — roughly three years of university core, built entirely from open courses (MIT OCW, MITx, edX, Coursera, CS50). Adapted from OSEE — Open-Source Electrical Engineering Curriculum by Artoriuz (MIT license).

The four pillars

Core knowledge areas

Mathematics
Calculus, linear algebra, statistics — the pillars everything else stands on.
Electricity
Electromagnetic theory, circuits, electronics — the physics behind the trade you already practice.
Computing
Boolean algebra, logic circuits, programming — the digital half of modern EE.
Signals
Signals & systems, control, communications — thinking in the frequency domain.

Where FreeTradeCamp's certificates teach you to pass licensing exams, this pathway teaches you to derive the rules those exams test. Start with the native EE Foundations Bridge track — eight FreeTradeCamp units with quizzes and a practice exam covering these core subjects — then continue into the full courses below.

Semester 1

4 subjects

Introduction to Electrical Engineering

Get a feel for the field before committing — channels and casual reading beat textbooks at this stage.

Free courses: EEVblog (YouTube) · ElectroBOOM (YouTube) · Computerphile (YouTube)

Reference texts: Understanding the Digital World — Kernighan

Calculus

The language the rest of engineering is written in. Strang's free textbook plus MIT's three-part course.

Free courses: MITx Calculus 1A — Differentiation · MITx Calculus 1B — Integration · MITx Calculus 1C — Series

Reference texts: Calculus — Gilbert Strang (free)

Linear Algebra

Matrices power robotics, control, and machine learning alike.

Free courses: edX — Linear Models & Matrix Algebra · edX — Linear Algebra: Foundations to Frontiers

Reference texts: Linear Algebra — Gilbert Strang

Boolean Algebra & Logic Circuits

Where Cert 1's switch logic becomes formal — gates, truth tables, digital design.

Free courses: MIT OCW — Computation Structures

Semester 2

4 subjects

Probability & Statistics

Underpins communications, quality control, and every measurement you'll ever trust.

Free courses: edX — Fundamentals of Statistics · edX — Probability

Reference texts: Grinstead & Snell — Intro to Probability (free)

Electricity & Magnetism

The physics behind everything from Unit 1.2 onward — fields, forces, and Maxwell's equations.

Free courses: MITx — E&M: Electrostatics · MITx — E&M: Fields and Forces · MITx — E&M: Maxwell's Equations

Reference texts: Electromagnetic Field Theory — Zahn (free)

Programming & Algorithms

CS50 is the single best free on-ramp to programming, full stop.

Free courses: Harvard CS50 — Intro to Computer Science · edX — Intro to CS and Programming (MIT)

Linear Systems & Signals

The most distinctively 'EE' subject there is — the doorway to the frequency domain.

Free courses: edX — Signals and Systems Part 1 · edX — Signals and Systems Part 2

Semester 3

4 subjects

Numerical Analysis

Modelling and simulation — how engineers compute what can't be solved on paper.

Free courses: edX — Mathematical Modelling Basics · Coursera — Intro to Programming with MATLAB

Electric Circuits

The rigorous version of Certs 1–2: network theorems, transient analysis, AC steady state.

Reference texts: Fundamentals of Electric Circuits — Sadiku

Digital Systems & Computer Architecture

Build a computer from NAND gates up — famously satisfying.

Free courses: Coursera — Nand2Tetris Part 1 · Coursera — Nand2Tetris Part 2

Control Systems

Feedback, stability, and why motor drives behave the way they do.

Free courses: edX — Dynamics and Control · WPILib — Intro to State-Space Control (free)

Semester 4

4 subjects

Power Systems Analysis

The direct continuation of Cert 3 — generation, transmission, and fault analysis at grid scale.

Reference texts: Power System Analysis — Saadat

Electric Machines

Motors, generators, and transformers — the theory behind Unit 3.1's √3.

Reference texts: Fitzgerald & Kingsley's Electric Machinery

Electronics

From diodes to op-amps — the component-level world.

Free courses: edX — Circuits & Electronics 2 · edX — Circuits & Electronics 3

Communication Systems

How signals actually travel — modulation, noise, and networks.

Free courses: edX — A System View of Communications (Part 1) · edX — IoT Networks and Protocols

Semesters 5–6

Specialization electives

Once the core is covered, pick a track and follow your interest — by this point you'll know your way around edX and Coursera.

Power Systems
Power Systems II · Power Substations · Power Protection
Electronics
Power Electronics · RF Electronics · Electromagnetic Compatibility · Semiconductor Physics · Optoelectronics
Digital Electronics
VLSI Design · Functional Verification · Embedded Systems
Computing
Operating Systems · Machine Learning · Computer Vision · Computer Networks
Control
Adaptive Control · Non-Linear Systems
Communications
Digital Signal Processing · Antennas · Optical Communications · Wireless Communications

External links point to third-party platforms; course availability and URLs can change over time. Full curriculum, prerequisites map, and updates at the OSEE repository.