| Popis: |
This chapter introduces some of the main ideas on integral calculus, a wide domain of mathematics that has many applications relevant to the future engineer. We present some of the main methods of computing areas and volumes using practical examples from physics, mechanics, and economics, which can be solved using mathematical models. In the first part we present the main theoretical results, without proofs, to give students an understanding of the reasoning behind solving a surface calculus exercise. The theory presented in this chapter represents a possible part of a course support, with which we review the key ideas necessary for solving the applications. The theoretical part will include the integral table, main theorems, formulas, and results which made the development of technology possible, part of our everyday lives. In the second section, some general situations where engineering professionals encounter integral calculus are explained. The third part is constituted by practical applications of this integral calculus, problems with low and medium difficulty level, with integral solutions. These answers are accompanied by graphic representations, explanations that have a role in strengthening students' intellectual capacity of correlating the theoretical and practical part, calculus, and not in the least, final results. For solving those problems, the simple application of an established algorithm is needed. Finally, a real application of integral calculus based on speed modeling in highway engineering is presented and resolved. |
