The engineering design process involves 10 stages: 1) identifying the problem, 2) defining goals and criteria, 3) researching the problem, 4) brainstorming ideas, 5) analyzing potential solutions, 6) developing and testing models, 7) making a decision, 8) communicating the design, 9) implementing and commercializing the design, and 10) reviewing the design after implementation. The stages involve problem scoping, research, idea generation, analysis, prototyping, testing, specification, production, and assessment.