# Course Details for A.Y. 2015/2016

#### Name:

**Complex Variables / Complex Variables**

### Basic information

##### Credits:

*:* Master Degree in Mathematical Engineering 3 CFU (b)

##### Degree(s):

Master Degree in Mathematical Engineering 1^{st} anno curriculum Comune Elective

##### Language:

English

### Course Objectives

Knowing the basic concepts and techniques of complex analysis and their applications

### Course Content

- Complex variable
- Complex integration
- Laplace and Fourier Transform and applications

### Learning Outcomes (Dublin Descriptors)

On successful completion of this course, the student should

- HAVE KNOWLEDGE AND UNDERSTANDING OF THE CONCEPT OF ANALYTIC FUNCTION, COMPLEX INTEGRATION, LAPLACE AND FOURIER TRANSFORMS AND THEIR MAIN APLLICATIONS AND TO INCREASE THE BACKGROUND OF MATHEMATICAL TOOLS NECESARY TO DEAL WITH PROBLEMS FROM THE APPLIED SCIENCES
- TO ACQUIRE AND BE ABLE TO APPLY, IN THE VARIOUS FIELDS OF ENGINEERING, THE CONCEPTS AND THE COMPUTATIONAL TECHNIQUES OF THE NOTIONS INTRODUCED IN THE COURSE
- SHOULD DEMOSTRATE SKILL IN MATHEMATICAL REASONING AND ABILITY TO CONCEIVE AN AUTONOUMUS SOLUTION OF A PROBLEM
- TO BE ABLE TO PRESENT THE SOLUTION OF A TECHNICAL PROBLEM BY MEANS OF CORRECT MATHEMATICAL LANGUAGE AND NOTATIONS
- STUDENT SHOULD BE ABLE TO TO READ AND UNDERSTAND TECHNICAL BOOKS WHICH USE AN ADVANCED MATHEMATICAL LANGUAGE

### Prerequisites and Learning Activities

Notions and concepts from the classical basic theory of mathematical analysis and geometry

### Assessment Methods and Criteria

Final written test

### Textbooks

- M.W.Wong , Complex Analysis , Ed.M.W.Wong . 2008.
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- Dacorogna-Tanteri , Mathematical Analysis for Engineers , Imperial College Press. 2012.
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- Murray R. Spiegel, Schaum's Outlines Complex Variables , McGraw Hill Ed..
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- Murray R. Spiegel, Schaum's Outlines Laplace Transform , McGraw Hill Ed..
* *

### Notes

- Please check the office hour time-table on the web page: http://www.ing.univaq.it/personale/scheda_personale.php?codice=255

### Course page updates

This course page is available (with possible updates) also for the following academic years:

** To read the *** current * information on this course, if it is still available, go to the university course catalogue .
*Course information last updated on: 28 febbraio 2014, 11:51*