Final answer:
A use case is a detailed description of how a user interacts with a new system and is a crucial component of the engineering design process. This process involves defining problems, establishing requirements and constraints, brainstorming solutions, prototyping, and testing, often utilizing mathematical models for validation.
Step-by-step explanation:
A use case is a description of how a user will employ the features and functions of a new system. It revolves around identifying a problem or need, which is crucial for guiding the development of a system that addresses real-world requirements. The engineering design process starts with defining the problem where one must understand the needs of customers and stakeholders, such as users and government agencies. Following this, requirements and constraints are determined to guide the design. Next, ideas are generated, and using the set criteria, possible solutions are evaluated.
After selecting the best solution, a prototype is designed and built, which is then rigorously tested. The prototype is refined until it meets all the identified needs and adheres to the constraints of the project. Throughout this process, communication is key to ensuring that all stakeholders are informed and involved as needed. Math modeling can be an integral part of this process to validate the performance and effectiveness of the design according to the identified constraints and criteria.