Mathematical Methods for Engineering
- Corso del 1° Anno di Magistrale (2° Semestre).
- Docente: Matteo Albani.
- Link to Moodle Site
Perquisites:
- Analysis I
- Analysis II
Contents and Program:
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Complex numbers
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Complex functions of complex variable.
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Holomorphic functions, harmonic functions.
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Conformal mapping
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Complex exp, sin, cos and their inverse.
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Complex integration.
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Cauchy formula.
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Analytic functions.
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Taylor and Laurent power series expansion.
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Residue Theorem.
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Asymptotic evaluation of integrals.
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Distributions.
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Fourier series.
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Fourier Transform.
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Laplace Transform and its application to differential equation solution.
My Notes
- MMfE - Cauchy Residue Theorem
- MMfE - Jordan’s Lemma
- MMfE - Singularity Function
- MMfE - Fourier Coefficients
- MMfE - Properties of the Fourier Transform
- MMfE - Holomorphic or Analytical Functions
- MMfE - Laurent Series
- MMfE - Classification of Singularities
Exercises:
Mathematical Methods for Engineering - All Exercises
Exercises divided in Types:
- MMfE - How to Sketch a Complex CurveTODO 2
- MMfE - How to Solve an IntegralTODO 2
- MMfE - Find the Region of HolomorphicityTODO 1
- MMfE - Find the Types of Isolated SingularitiesTODO 1
- MMfE - Calculate the Laurent Series or Laurent ExpansionTODO 1
- MMfE - Examples of Laplace TransformTODO 1
- MMfE - Find the Singularities of the Laplace TransformTODO 1
- MMfE - Find the Abscissa of ConvergenceTODO 1
- MMfE - Examples of Fourier TransformTODO 1
- MMfE - Examples of Fourier SeriesTODO 1
- MMfE - How to Solve a Complex LimitTODO 1
- MMfE - Solve Differential Equations Using the Laplace TransformationTODO 1
MATLAB Scripts:
All My Notes
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PLEASE NOTE:
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Here are all the links to my notes:
- Github: UNISI-Sensors-and-Microsystems-Obsidian-Quartz-Publish;
Quartz Publish: UNISI-Sensors-and-Microsystems-Obsidian-Quartz-Publish. - Github: UNISI-Complex-Dynamic-Systems-Obsidian-Quartz-Publish;
Quartz Publish: UNISI-Complex-Dynamic-Systems-Obsidian-Quartz-Publish. - Github: UNISI-Discrete-Event-Systems-Obsidian-Quartz-Publish;
Quartz Publish: UNISI-Discrete-Event-Systems-Obsidian-Quartz-Publish. - Github: UNISI-System-Identification-and-Data-Analysis-Obsidian-Quartz-Publish;
Quartz Publish: UNISI-System-Identification-and-Data-Analysis-Obsidian-Quartz-Publish. - Github: UNISI-Multivariable-NonLinear-and-Robust-Control-Obsidian-Quartz-Publish;
Quartz Publish: UNISI-Multivariable-NonLinear-and-Robust-Control-Obsidian-Quartz-Publish. - Github: UNISI-Artificial-Intelligence-Obsidian-Quartz-Publish;
Quartz Publish: UNISI-Artificial-Intelligence-Obsidian-Quartz-Publish. - Github: UNISI-Human-Centered-Robotics-Obsidian-Quartz-Publish;
Quartz Publish: UNISI-Human-Centered-Robotics-Obsidian-Quartz-Publish. - Github: UNISI-Machine-Learning-Obsidian-Quartz-Publish;
Quartz Publish: UNISI-Machine-Learning-Obsidian-Quartz-Publish. - Github: UNISI-Bioinformatics-Obsidian-Quartz-Publish;
Quartz Publish: UNISI-Bioinformatics-Obsidian-Quartz-Publish. - Github: UNISI-Network-Optimization-Obsidian-Quartz-Publish;
Quartz Publish: UNISI-Network-Optimization-Obsidian-Quartz-Publish. - Github: UNISI-Mathematical-Methods-for-Engineering-Obsidian-Quartz-Publish;
Quartz Publish: UNISI-Mathematical-Methods-for-Engineering-Obsidian-Quartz-Publish.