I can only respond from the American perspective...when a student decides to major in engineering while attending a university, there will be a general curriculum that teaches all the necessary math and related courses necessary in any type of engineering career.
After a student passes those courses, he may choose to specialize his focus. Perhaps he wants to be a mechanical engineer, which would mean he needs to study motors and engines and similar related disciplines. If he wants to be an electrical engineer, he'll need to take graduate courses in electrical circuitry and learn how to "wire" components. Civil engineers must take additional courses to learn about traffic patterns and the design of roads and bridges.