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Engineering

Mechanical Engineering, Robotics & Workplace Automation

A complete self-study engineering path from calculus, physics, and computation through statics, material strength, dynamics, thermo-fluids, machine design, manufacturing, mechatronics, feedback control, robotics, industrial automation, and responsible workplace deployment. MIT OpenCourseWare and Stanford courses anchor the academic sequence; NIST, OSHA, ISO, IEC, ISA, and NIOSH anchor the manufacturing, safety, integration, and human-work systems.

78 lessons ~7 h 11 courses

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Who it's for

Independent learners who want the reasoning and project habits of a mechanical engineer with a concentration in automation and robotics. The path assumes secondary-school algebra at entry and becomes mathematically technical. It is a rigorous personal curriculum, not an accredited engineering degree or a substitute for supervised shop, electrical, or industrial-safety training.

Course 1 of 11

Engineering Mathematics

Build calculus, linear algebra, and differential equations before using them to model motion, stress, heat, fluids, and feedback.

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Unit 1

Single-Variable Calculus

5 lessons · 26 min

  1. 1 Limits and Continuity 4 min Start
  2. 2 Derivatives and Differentiation Rules 5 min Start
  3. 3 Applications of the Derivative 6 min Start
  4. 4 Integration and the Fundamental Theorem 5 min Start
  5. 5 Techniques and Applications of Integration 6 min Start
Unit 2

Multivariable and Vector Calculus

3 lessons · 16 min

  1. 1 Partial Derivatives and the Gradient 6 min Start
  2. 2 Multiple Integrals 5 min Start
  3. 3 Vector Calculus: Divergence, Curl, and Integral Theorems 5 min Start
Unit 3

Linear Algebra

3 lessons · 17 min

  1. 1 Vectors and Matrices 6 min Start
  2. 2 Linear Systems and Gaussian Elimination 6 min Start
  3. 3 Eigenvalues and Eigenvectors 5 min Start
Unit 4

Differential Equations

3 lessons · 17 min

  1. 1 First-Order Differential Equations 6 min Start
  2. 2 Second-Order Linear ODEs 6 min Start
  3. 3 The Laplace Transform 5 min Start

Course 2 of 11

Physics for Engineers

Establish mechanics and electromagnetism as the physical language of machines, sensors, motors, and energy conversion.

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Unit 5

Classical Mechanics

5 lessons · 27 min

  1. 1 Kinematics in One and Two Dimensions 4 min Start
  2. 2 Newton's Laws and Forces 4 min Start
  3. 3 Work, Energy, and Power 6 min Start
  4. 4 Momentum and Collisions 6 min Start
  5. 5 Rotational Motion and Angular Momentum 7 min Start
Unit 6

Electricity and Magnetism

4 lessons · 23 min

  1. 1 Electric Charge, Field, and Gauss's Law 7 min Start
  2. 2 Electric Potential and Capacitance 6 min Start
  3. 3 Current, Resistance, and DC Circuits 4 min Start
  4. 4 Magnetic Fields and Induction 6 min Start

Course 3 of 11

Computation and Programming for Engineers

Learn programming and numerical methods for simulation, data analysis, control experiments, and engineering decision support.

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Unit 7

Programming Fundamentals

3 lessons · 15 min

  1. 1 Variables, Types, and Control Flow 6 min Start
  2. 2 Functions and Data Structures 6 min Start
  3. 3 Working with Arrays and Plotting (NumPy and Matplotlib) 3 min Start
Unit 8

Numerical Methods

4 lessons · 21 min

  1. 1 Floating-Point and Error 5 min Start
  2. 2 Root Finding and Linear Systems 7 min Start
  3. 3 Numerical Integration and Differentiation 6 min Start
  4. 4 Solving ODEs Numerically 3 min Start

Course 4 of 11

Statics, Strength & Failure

Turn loads into free-body diagrams, reactions, internal forces, stresses, deflections, and defensible safety margins.

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Unit 9

Force Systems & Equilibrium

2 lessons · 12 min

  1. 1 Free-Body Diagrams That Can Be Audited 6 min Start
  2. 2 Moments, Supports & Distributed Loads 6 min Start
Unit 10

Structures & Material Response

2 lessons · 11 min

  1. 1 Trusses, Frames & Internal Force 6 min Start
  2. 2 Stress, Strain & Safety Factor 5 min Start
Unit 11

Beams, Deflection & Failure

2 lessons · 11 min

  1. 1 Beams, Torsion & Deflection 6 min Start
  2. 2 Failure, Fatigue & the Structural Design Review 5 min Start

Course 5 of 11

Dynamics, Vibration & Thermo-Fluids

Analyze moving and vibrating systems, energy conversion, heat rejection, fluid flow, pumps, and pneumatic power.

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Unit 12

Motion & Vibration

2 lessons · 12 min

  1. 1 Dynamics: Doors, Wheels, and Coast-Down Tests 6 min Start
  2. 2 Vibration: Mounting a Compressor and a Dust Collector 6 min Start
Unit 13

Energy & Heat

2 lessons · 13 min

  1. 1 Energy and Efficiency: Heating With Wood 7 min Start
  2. 2 Heat Transfer: Designing a Backyard Sauna 6 min Start
Unit 14

Fluids & Fluid Power

2 lessons · 14 min

  1. 1 Pipe Flow: Running Water to the Barn 6 min Start
  2. 2 Pumps, Pressure Tanks, and Compressed Air 8 min Start

Course 6 of 11

Machine Design & Manufacturing

Convert functions into mechanisms, machine elements, drawings, tolerances, process plans, test evidence, and reliable hardware.

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Unit 15

Mechanisms & Transmissions

2 lessons · 12 min

  1. 1 Mechanisms, Mobility & Motion Conversion 6 min Start
  2. 2 Shafts, Bearings, Gears & Power Transmission 6 min Start
Unit 16

Materials & Precision

2 lessons · 10 min

  1. 1 Material Selection as a Load-Environment Decision 5 min Start
  2. 2 Datums, Fits, Tolerances & Error Budgets 5 min Start
Unit 17

Manufacturing & Reliability

2 lessons · 10 min

  1. 1 Process Selection & Design for Manufacture 5 min Start
  2. 2 Reliability, Verification & Maintainability 5 min Start

Course 7 of 11

Mechatronics & Feedback Control

Join circuits, sensors, actuators, embedded state machines, dynamic models, and feedback into working controlled machines.

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Unit 18

Power, Circuits & Signals

2 lessons · 10 min

  1. 1 Electrical Architecture, Power & Interfaces 5 min Start
  2. 2 Signals, Noise, Sampling & Conditioning 5 min Start
Unit 19

Sensors, Actuators & Embedded Behavior

2 lessons · 8 min

  1. 1 Sensors, Metrology & Uncertainty 4 min Start
  2. 2 Actuators, Drives & Embedded State Machines 4 min Start
Unit 20

Modeling & Feedback

2 lessons · 10 min

  1. 1 Dynamic Models, Transfer Functions & Stability 5 min Start
  2. 2 PID Tuning, Saturation & Digital Implementation 5 min Start

Course 8 of 11

Robotics: Modeling, Motion & Interaction

Model robot geometry and motion, reason about workspace and singularity, design interaction, and integrate perception and software.

0 of 6 done
Unit 21

Geometry & Kinematics

2 lessons · 7 min

  1. 1 Frames, Transforms & Forward Kinematics 2 min Start
  2. 2 Inverse Kinematics, Jacobians & Singularities 5 min Start
Unit 22

Motion & Interaction

2 lessons · 5 min

  1. 1 Robot Dynamics, Trajectories & Motion Control 2 min Start
  2. 2 End Effectors, Force, Compliance & Contact 3 min Start
Unit 23

Perception, Autonomy & Integration

2 lessons · 8 min

  1. 1 Perception, Localization & Planning 5 min Start
  2. 2 Robot Software Integration, Faults & Experiments 3 min Start

Course 9 of 11

Industrial Automation Systems

Program deterministic sequences, design workcells, analyze production flow, and connect PLC, SCADA, MES, and enterprise information safely.

0 of 6 done
Unit 24

PLC Architecture & Sequences

2 lessons · 11 min

  1. 1 PLC Scan, I/O & Control Architecture 6 min Start
  2. 2 Ladder Logic, Interlocks & State Sequences 5 min Start
Unit 25

Cells, Motion & Equipment

2 lessons · 12 min

  1. 1 Conveyors, Pneumatics & Equipment Handshakes 6 min Start
  2. 2 Robot, Vision & Cell Integration 6 min Start
Unit 26

Factory Flow & Data

2 lessons · 10 min

  1. 1 Throughput, Bottlenecks, Buffers & OEE 5 min Start
  2. 2 SCADA, MES, Digital Twins & OT Cybersecurity 5 min Start

Course 10 of 11

Automation in the Workplace

Select the right tasks, include workers, quantify lifecycle value, manage risk, redesign jobs, and deliver automation that improves the system of work.

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Unit 27

Select the Work

2 lessons · 9 min

  1. 1 Observe the Task Before Automating It 5 min Start
  2. 2 Requirements, Concept Selection & Early Economics 4 min Start
Unit 28

People, Safety & Job Design

2 lessons · 8 min

  1. 1 Worker Participation, Human Factors & Job Design 4 min Start
  2. 2 Risk Assessment, Safeguarding & Hazardous Energy 4 min Start
Unit 29

Value, Deployment & Stewardship

2 lessons · 8 min

  1. 1 Lifecycle Business Case & Integration Contract 4 min Start
  2. 2 Commissioning, Change, Maintenance & Governance 4 min Start

Course 11 of 11

Integrated Automation Capstone

Integrate requirements, calculations, architecture, risk reduction, controls, economics, testing, commissioning, and communication in one traceable design dossier.

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Unit 30

Define the System

2 lessons · 11 min

  1. 1 Capstone Brief & Current-State Evidence 5 min Start
  2. 2 Requirements, Architecture Options & Concept Review 6 min Start
Unit 31

Design the System

2 lessons · 12 min

  1. 1 Mechanical, Electrical & Control Design Package 7 min Start
  2. 2 Safety, Human Work & Lifecycle Economics Package 5 min Start
Unit 32

Prove & Deliver

2 lessons · 9 min

  1. 1 Verification, FAT, SAT & Commissioning 5 min Start
  2. 2 Technical Defense, Portfolio & Learning Roadmap 4 min Start