19 chapters live
Mathematics for Mechanical Engineers
Algebra, trigonometry, calculus, differential equations, transforms, numerical methods, statistics, and optimization.
Open math contents →The curriculum
One clean path, then your specialization.
Everyone follows the same foundations and core. Only at the end do you branch into a track. Each level lists what is required, what should come before it, and the portfolio you walk away with.
Live
Available full course contents
Full chapter/module lessons are available for these courses today. Other course pages currently open to structured beta outlines and will get full lessons progressively.
16 chapters live
Physics for Mechanical Engineers
Units, vectors, motion, forces, energy, rotation, oscillations, thermal physics, fluids, electricity, and measurement.
Open physics contents →11 modules live
Engineering Mechanics: Statics
Forces, moments, equilibrium, structures, internal forces, friction, centroids, inertia, and virtual work.
Open statics contents →0
Level 0 · Orientation and readiness
Before any content: know what mechanical engineering is, find out where you stand, and learn how to study it. Half a day, and it saves months.
How mechanical engineering works
The shape of the field and why the roadmap is ordered the way it is.
See the roadmap →Math and physics readiness check
A short diagnostic that routes you to the exact foundation gaps to patch first.
Take the check →The learning method for engineers
Retrieval, spaced review, and worked examples: how to study so it sticks.
See the method →1
Level 1 · Foundations
The prerequisites for everything that follows. Foundation · required
Foundation
Mathematics for Mechanical Engineers
Three layers across 19 chapters: Foundations I (algebra, trig, vectors, single-variable calculus), Foundations II (multivariable, linear algebra, differential equations), and Engineering math tools (transforms, numerical methods, statistics).
Why it matters: the language the rest of the degree is written in.
No prerequisites. Start fresh.
Open the course →Foundation
Physics for Mechanical Engineers
Mechanics, energy, rotation, oscillations, thermal physics, fluids, and electricity. 16 chapters.
Why it matters: statics, thermodynamics, and dynamics are all physics, made specific.
No prerequisites. Start fresh.
Open the course →Foundation
Programming and Computational Thinking
Turning engineering problems into code: variables, logic, loops, and plotting data.
Why it matters: simulation, data analysis, and automation all start here.
No prerequisites. Start fresh.
Open the module →Foundation · Design spine
Engineering Graphics, Sketching and CAD
The visual language of design: sketches, views, dimensioning, and parametric CAD.
Why it matters: the language you will design and communicate in for your whole career.
No prerequisites. Start fresh.
Open the module →Foundation
Materials and Chemistry Foundations
What materials are, how they behave, and why selection drives every design.
Why it matters: every part is made of something, and that choice shapes the whole design.
No prerequisites. Start fresh.
Open the module →Foundation · Design spine
Introduction to Design and Manufacturing
How products are conceived and made: the thread that runs through the whole degree.
Why it matters: it ties every analysis course back to a real, makeable product.
No prerequisites. Start fresh.
Open the module →Foundation · Planned
Engineering Practice Lab I
Measurement, data, and technical communication: units, uncertainty, sensors, plots, and short reports. In development.
Why it matters: it teaches you to trust, and to doubt, real data before the core depends on it.
Why this order?
Mathematics and physics are the language the rest of the degree is written in. Programming and numerical thinking turn that language into tools you can actually run. Graphics, materials, and design thinking start the design spine early, and a first measurement lab teaches you to trust (and doubt) data before you depend on it in the core.
2
Level 2 · Core mechanical engineering
The engineering science core, in dependency order. Statics is the gateway. Gateway, Core, Integration · required
- StaticsNeeds Physics, Vectors, Trigonometry
- Mechanics of MaterialsNeeds Statics, Materials, Calculus
- Dynamics and VibrationsNeeds Statics, Calculus, Differential equations
- ThermodynamicsNeeds Physics, Calculus, chemistry basics
- Fluid MechanicsNeeds Thermodynamics, Vector calculus
- Heat TransferNeeds Thermodynamics, Fluid Mechanics
- Manufacturing ProcessesNeeds Materials, CAD, design thinking
- Electrical Circuits, Sensors and InstrumentationNeeds Physics (electricity), Programming
- Numerical Methods and Engineering Data AnalysisNeeds Calculus, Linear algebra, Programming
- Machine Elements and Mechanical DesignNeeds Statics, Mechanics of Materials, CAD
- System Dynamics and ControlNeeds Dynamics, Differential equations, Circuits
- Engineering Experimentation, Measurement and CommunicationNeeds Statistics, Sensors, the core courses
What each core course is for, and when you are ready
| Course | Why it matters | You are ready when… |
|---|---|---|
| Statics | The grammar of every machine and structure: how forces and moments balance when nothing moves. | You can draw a free-body diagram and resolve forces into components. |
| Mechanics of Materials | Turns forces into stress, strain, and deflection, so you can size a part and predict when it breaks. | Statics feels comfortable and you can find the internal forces in a member. |
| Dynamics and Vibrations | Adds motion to statics: how things accelerate, oscillate, and respond over time. | You are fluent with free-body diagrams and basic differential equations. |
| Thermodynamics | The accounting of energy: heat, work, and the limits on turning one into the other. | You are comfortable with calculus and the idea of a system and its boundary. |
| Fluid Mechanics | How liquids and gases push, flow, and carry energy, from pipes to wings. | You can apply energy balances from thermodynamics and handle vector calculus. |
| Heat Transfer | How fast energy moves by conduction, convection, and radiation, which sets real design limits. | Thermodynamics and fluid mechanics both feel solid. |
| Manufacturing Processes | How parts actually get made, which decides what a design is allowed to ask for. | You know basic materials behavior and can read an engineering drawing. |
| Electrical Circuits, Sensors and Instrumentation | The electrical half of modern machines: measuring, sensing, and driving real systems. | You have met electricity in physics and can write simple code. |
| Numerical Methods and Engineering Data Analysis | How engineers solve equations with no neat answer and make sense of messy data. | You have calculus and linear algebra and can program a loop. |
| Machine Elements and Mechanical Design | Where analysis becomes design: sizing shafts, gears, bearings, and fasteners that last. | Statics and mechanics of materials are second nature. |
| System Dynamics and Control | How to make a system behave: model its response, then design feedback to steer it. | You are comfortable with differential equations and dynamics. |
| Engineering Experimentation, Measurement and Communication | How to get trustworthy data from real hardware and defend a result with evidence. | You have done the core courses and know basic statistics. |
Why this order?
Statics gives you free-body diagrams and equilibrium, the foundation of mechanics of materials (stress) and dynamics (motion). Thermodynamics precedes fluid mechanics, which precedes heat transfer, because each adds one layer to the same energy-and-flow picture. Numerical methods arrive before the simulation tracks because finite-element and CFD work is numerical methods at scale. Machine elements ties analysis back to design, and the experimentation course teaches you to defend results with evidence.
3
Level 3 · Choose your specialization
You do not take every advanced module. Pick the one track that matches your career, and finish with its portfolio. Specialization · choose one
Track A
Design, Manufacturing & Product Development
Machine elements, manufacturing processes, finite element methods, optional AI-enabled engineering.
Portfolio outcome: a designed, analyzed, and manufacturable product.
See the matching careers →Track B
Mechanics, Materials & Simulation
Mechanics of materials, dynamics and vibrations, finite element methods, materials selection and failure.
Portfolio outcome: a validated simulation study.
Open FEM →Track C
Thermal, Fluids & Energy
Thermodynamics, fluid mechanics, heat transfer, energy systems, computational fluid dynamics.
Portfolio outcome: a thermal or energy system analysis.
Open CFD →Track D
Systems, Control, Robotics & Mechatronics
Circuits and sensors, system dynamics and control, numerical methods, robotics and mechatronics.
Portfolio outcome: a working mechatronic system.
Open Robotics →Track E
AI-Enabled Mechanical Engineering
Programming, numerical methods, CAD/CAE workflow, AI-enabled digital engineering.
Portfolio outcome: an AI-assisted engineering project.
Open AI engineering →All tracks end here
Capstone Portfolio Studio
Whichever track you choose, you finish by assembling a defensible portfolio of your best work.
Open the capstone →Next step
Open the first course.
Start with the foundation course that supports everything else.