Final answer:
Mathematics is the subject that does not necessarily need a material representation to be understood and is essential in fields such as engineering for its abstract, numerical concepts.
Step-by-step explanation:
The subject that does not appear in all written representations without regard to materiality is mathematics. Mathematics is a subject that is highly abstract and is not dependent on material conditions. While English, Science, and Social Studies often relate to concrete concepts and may require context, mathematics primarily deals with numerical and logical concepts that are consistent regardless of the medium or materials used to convey them.
Furthermore, in contexts such as engineering, mathematics is a critical subject. Prospective engineers are encouraged to concentrate on studying mathematics as well as science, as both are foundational to the field. Engineering not only requires a strong understanding of calculus, trigonometry, and analytical geometry, but also an understanding of scientific principles. However, the ability to communicate effectively — a skill honed through studying English — and a well-rounded knowledge that includes some history, are also important for engineers.
The importance of proficiency in mathematics is underscored by results of the High School Exit Exam indicating that more focus is needed on basic math skills, such as fractions, percentages, and long division. This reaffirms that mathematics is an essential discipline for academic and professional success.