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Management Engineering (Academic Year 2023/2024) - Economics path

Advanced Mathematical Methods


Credits: 9
Content language:English
Course description
The course of Advanced Mathematical Methods completes the mathematical concepts showed in the previous two courses. In particular this course is voted to analyze the field of Complex numbers and holomorphic functions. Moreover several integral-differential techniques like Fourier and Laplace transform are widely discussed.
Prerequisites
The knowledge of the arguments discussed in Calulus I and Mathematical Methods is essential.
Objectives
This course aims to the theory of complex functions is developed, concentraing on the holomorphy allowing concrete the computation of a wide number of integrals via residue theorem.
Program
The course of Advanced Mathematical Methods is focused on the complex analysis. First, the complex numbers are introduced and carefully studied. The main topic is the study of analytical and holomorphic functions which stems into path integration theory and residue theorem. The last argument is the discussion of integral transform such as Fourier and Laplace, focusing on the applications.
Book
“Calculus II – Part I”, Uninettuno University Press - McGraw-Hill, 2013 (available on the Uninettuno University Press bookstore).
“Calculus II – Part II”, Uninettuno University Press - McGraw-Hill, 2013 (available on the Uninettuno University Press bookstore).
Exercises
A wide number of exercises on each of the macro arguments are available. These are fundamental in order to fully grasp the cohomprension of the arguments dealt in the course and often have an applicative aim.
Professor/Tutor responsible for teaching
Clemente Cesarano
Video professors
Prof. Simon Salamon - Politecnico di Torino (Torino - Italy)
List of lessons
Simon Salamon
Simon Salamon
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Simon Salamon
    •  Lesson n. 5: Power series  Go to this lesson
Simon Salamon
Simon Salamon
Simon Salamon
Simon Salamon
    •  Lesson n. 9: Laurent series  Go to this lesson
Simon Salamon
Simon Salamon
Simon Salamon
Simon Salamon
Simon Salamon
Simon Salamon
Simon Salamon
Simon Salamon
Simon Salamon
Simon Salamon
Simon Salamon
Simon Salamon
Simon Salamon
Simon Salamon
Simon Salamon
Simon Salamon
Simon Salamon