Final answer:
Engineers use science as a foundational tool alongside mathematics in their duties, applying both to solve technical problems and create solutions that balance quality, performance, and cost. Historical and modern practices highlight the importance of mathematics and science in engineering.
Step-by-step explanation:
Engineers use science as a foundation, along with mathematics, to perform their unique duties. The profession of engineering leverages deeply on both mathematics and science as critical tools throughout the engineering design process. This integrated approach is essential to develop economical solutions to technical problems, thereby creating a link between perceived social needs and commercial application.
The application of scientific principles, for instance, helps engineers understand the constraints inherent in a problem, which aids in devising potential solutions. Meanwhile, mathematics is utilized to create models that describe physical phenomena and to evaluate the merit of different solutions, balancing quality, performance, and cost.
Historically, engineering has exceeded the basic application of math and science, incorporating the ingenuity needed for creating functional products prior to the complete understanding of scientific principles. However, modern engineering practice increasingly demands the application of sophisticated mathematical and scientific knowledge.
Invention, innovation, education, careers, and design all showcase the crucial role that the connection between math, science, and engineering plays in our daily lives. Successful engineers take and excel in courses such as trigonometry and lab sciences in high school which strongly indicate their preparedness for a professional career in engineering.