United States Courses & Certifications

Calculus Revisited: Multivariable Calculus

Herb Gross's 1971 video series revisits calculus of several variables, from vector and matrix arithmetic through partial derivatives, multiple integrals, line integrals and Green's theorem.

• MIT OpenCourseWare
• Self-Paced
• Free Online Course

Kanji Learning Any Time, Any Place for Japanese V

Video lectures on the kanji of Tobira lessons 1–5, teaching how to write each character alongside the stories behind its form.

• MIT OpenCourseWare
• Self-Paced
• Free Online Course

Kanji Learning Any Time, Any Place for Japanese VI

Five video lectures on the kanji from Tobira lessons 6–10, teaching stroke-by-stroke writing alongside the stories behind each character.

• MIT OpenCourseWare
• Self-Paced
• Free Online Course

Fundamentals of Manufacturing Processes

Learn how diverse manufacturing processes and design principles turn products from toys to smartphones into scalable production.

• MITx Online
• Self-Paced
• Free Online Course

Energy Economics and Policy

Analyze real-world energy markets: international oil, natural gas and electricity pricing, externalities of gasoline, and policy tools for sustainable, equitable energy and carbon reduction.

• MITx Online
• Self-Paced
• Free Online Course

Nonreciprocal Integrated Photonic Devices

Learn how optical isolators and circulators prevent cross-talk and feedback in photonic integrated circuits, covering device design, magneto-optical materials, test characterization, and PIC process integration.

• MITx Online
• 2 weeks, 2-3 hours/week
• Self-Paced
• Free Online Course

Advanced Fluid Mechanics 3: Potential Flows & Boundary Layers

Analyze high-Reynolds-number inviscid flows through potential-flow theory, boundary-layer behavior, lift and drag, separation, and transition to turbulence.

• MITx Online
• Self-Paced
• Free Online Course

Quantum Mechanics: A First Course

Solve the Schrödinger equation for one-dimensional potentials: wavefunctions and probability, square wells and harmonic oscillators, barrier penetration, scattering phase shifts, resonances, and angular momentum.

• MITx Online
• 17 weeks, 10-15 hours a week
• Self-Paced
• Free Online Course

Principles of Discrete Applied Mathematics

A discrete mathematics course connecting counting, probability, optimization, algebra, number theory, information theory, and coding through illustrative applied topics.

• MIT OpenCourseWare
• Self-Paced
• Free Online Course

Topics in Mathematics with Applications in Finance

Explore the mathematics of finance through linear algebra, probability, stochastic processes, and numerical methods applied to markets, portfolio management, volatility modeling, and valuation.

• MIT OpenCourseWare
• Self-Paced
• Free Online Course

Highlights of Calculus

A short video series builds intuition for calculus through big-picture explanations, derivative techniques, and real-life applications.

• MIT OpenCourseWare
• Self-Paced
• Free Online Course

Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler

An in-depth video series linking differential-equation theory with MATLAB’s ODE suite, from phase-plane analysis and Laplace methods to numerical solvers.

• MIT OpenCourseWare
• Self-Paced
• Free Online Course

Mechanics of Deformable Structures: Part 1

Analyze deformation and failure in structures made from elastic, elastic-plastic, and viscoelastic materials using equilibrium and compatibility equations.

• MITx Online
• Self-Paced
• Free Online Course

Mechanics of Deformable Structures: Part 2

Analyze multiaxial stress and strain, failure criteria, and linear elastic structural behavior using energy methods such as Castigliano and Rayleigh–Ritz.

• MITx Online
• Self-Paced
• Free Online Course

Module 0: Introduction to Universal AI

A foundational introduction to how AI agents, machine learning, generative AI, and responsible deployment shape modern artificial intelligence.

• MITx Online
• Self-Paced
• Free Online Course