First-year engineering topics generally include foundational mathematics such as calculus, linear algebra, and differential equations, alongside introductory physics courses. While there are common elements across engineering branches, specific curricula can vary significantly by institution and country. Advanced topics like beta and gamma functions, and Laplace transformations are typically not taught in depth but may be introduced in calculus or differential equations courses. Quantum mechanics and string theory are not standard in undergraduate engineering programs; they are more relevant to physics and often reserved for graduate studies. The exposure to advanced mathematics and physics concepts depends on the student's starting level and chosen engineering discipline, with electrical engineering students likely encountering Laplace transforms more frequently than civil engineers. Overall, first-year curricula are not uniform across all engineering fields, and prospective students should research specific programs for detailed course offerings.