This is an introdutory course to the main concepts, definitions and techniques required for the analysis of sequences and real functions of real variable.
Domain of the basic techniques required for theMathematical Analysis of real functions of real variable.
The students should acquire not onlycalculus capabilities fundamental to the acquisition of some of the knowledge lectured in Physics, Chemistry and other Engineering subjects, but also to develop methods of solid logic reasoning and analysis.
Beinga first coursein Mathematical Analysis,it introduces some of the concepts which will be deeply analyzed and generalized in subsequent courses.
5. Integration in R
5.1 Primitives. Primitives by Parts. Primitives by Substitution. Primitives of Rational Functions. Primitives of Irrational Functions and Transcendent Functions.
5.2 Integral of Riemann. Theorem of the Mean Value. Fundamental Theorem of Integral Calculus. Barrow Rule. Integration by Parts and integration by Substitution. Application to the Calculus of Areas.
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Recommended Bibliography
The student must master the mathematical knowledgelectured until the end of PortugueseHigh School.
Hours per credit | 28 | ||
Hours per week | Weeks | Hours | |
Avaliação | 4.5 | ||
Total hours | 4.5 | ||
ECTS | 6.0 |