Electromagnetics and Applications¶

Course Overview¶

• Institution: MIT
• Course code: 6.013
• Track: Electromagnetic Fields and Waves
• Tier: S
• Role: Mainline
• Level: Not standardized by provider (use prerequisites)
• Last reviewed: 2026-07-28

MIT's Electromagnetics and Applications provides an applied electromagnetics spine through an open text, solutions, demonstrations, and exams, with excellent textual feedback but no full lecture-video series.

Why choose this course

Mainline course. A particularly complete and well-structured option for this track.

Before you start

• Recommended foundation: Engineering Mathematics
• Recommended foundation: Physics Foundations

Verifiable learning outcomes

• Explain the core models in Electromagnetic Fields and Waves, including their assumptions and limits
• Solve representative derivations and problems, checking units, limiting cases, or numerical results

Workload and pacing

11 weeks at 9 hours/week. This maintainer planning estimate is derived from course role and the density of public practice and labs; it is not a provider workload promise. Pilot two weeks while logging instruction, practice, lab, and review time, then adjust the remaining plan when actual effort differs by more than 25%.

Safety level

Simulation only. The default practice scope is software, computation, or simulation only; a lab label in the resource inventory does not authorize connecting physical equipment, and any hardware extension requires provider-scope verification and a new risk assessment.

Course Resources¶

Software, hardware, and cost

Software

• Maintainer-suggested open-source/free verification path: openEMS, GNU Octave or Python 3, and ParaView
• The resource inventory does not list public code coverage; the tools above are only a maintainer-suggested independent check, not a provider requirement

Hardware

• The resource inventory does not list public physical-lab coverage; the maintainer path defaults to computation/simulation. It assumes only a computer capable of mesh-based computation and field-data storage; use only course-specified compliant facilities for physical field measurements. If the provider lists different equipment or compute requirements, follow its course page

Cost note

The suggested software stack is available open source or free; this is maintainer planning, not a provider requirement. If the provider specifies commercial licenses, cloud compute, storage, or institutional resources, costs vary by plan, region, and institution, so no fixed price is asserted here.

Public resource coverage

Resources and access

“Listed by official page” means the link was discovered on a successfully fetched official source on the verification date; it does not guarantee that every region or account can open the target directly. Access does not grant redistribution rights. Re-check the provider page, target link, and third-party notices before downloading, adapting, or publishing material.

Practice and Verification¶

Practice loop

Electromagnetics and Applications · MIT 6.013: Transmission-Line and Boundary-Condition Field Solver

This is a maintainer-suggested self-study project for Electromagnetics and Applications · MIT 6.013, not an official course assignment. Formulate a transmission-line or two-dimensional boundary-value problem for Electromagnetic Fields and Waves, compare analytic and numerical solutions, and audit reflection and energy error from mesh, boundaries, and material parameters.

Origin: Maintainer-suggested project

Deliverables

• A specification of geometry, materials, excitation, boundary conditions, units, and analytic baseline
• An executable transmission-line, finite-difference, or finite-element model with mesh-convergence configurations
• Raw electric or magnetic fields, S-parameters or reflection coefficients, and energy-flow data
• A report comparing analytic and numeric results and explaining boundary reflection, dispersion, and mesh failure

Verification

• Keep characteristic impedance or propagation constant within 2% of the analytic uniform-line baseline
• Check reflection-coefficient limits for open, short, matched, and material-step boundaries
• After doubling mesh resolution, keep the key field metric change below 3% and record convergence
• Deliberately use an overly close absorbing boundary or coarse mesh and quantify spurious reflection and energy imbalance

Reproducibility

• Commit geometry or mesh, solver, post-processing, and analytic-calculation sources
• Pin solver version, material parameters, meshing rules, and convergence tolerances
• Preserve raw field data, solver logs, and the script-generated report

Safety boundary: Simulation only — Use field and transmission-line simulation only; do not build high-voltage, strong-field, RF-transmitting, microwave-heating, or unknown-impedance apparatus.

Risks, gaps, and boundaries

The open text, solutions, and demonstrations are excellent, but there is no full lecture-video series.

Completion evidence

• Weekly learning log with time, questions, corrected errors, decisions, next steps, and links to that week's reproducible artifacts
• Theory dossier with explicit assumptions, notation, derivation, units, and boundary conditions, checked by at least one independent method
• Simulation package with model or netlist, inputs, solver and version, parameter-sweep script, benchmark comparison, expected results, and one rerun command