Final answer:
In engineering design, a sequential and iterative process is the default method of in-process examination, which involves creating and refining a solution through prototyping and continuous improvement.
Step-by-step explanation:
The method of in-process examination that is used unless additional methods are specified in the engineering design is primarily a sequential and iterative process. This process often includes steps such as defining the problem, generating concepts, developing a solution, and prototyping. Each step of the design process is not always linear, as teams may revisit earlier stages based on the testing and evaluation of prototypes and the continuous improvement of the design. The engineering design process is a decision-making process where math and science are applied to create optimal solutions for the stated needs.
Typically, the default examination method in the absence of other specified methods would be the basic engineering design process which involves sequential development, assessment, and refinement of prototypes. This approach is adapted to the circumstances of the design team and the particular project, and it is subjected to a continuous improvement process to enhance the design over time. This process is cyclical, allowing for modifications and improvements until the design meets the desired needs.