Placeholder image for Complex Analysis

Complex Analysis, Short Course

  • Anytime
    Application Deadline
  • 1 month


If you have enjoyed the MOOCs experience, you can transform it into an actual asset for your academic and professional career: by enrolling in the corresponding UNINETTUNO university course, you will be included into a class and have the support of a tutor who will guide you along your learning path; you will be able to participate in a course delivery cycle, interact with professors and tutors in real time in UNINETTUNO virtual classrooms on the Web (on live streaming) or in UNINETTUNO Island of Knowledge on Second Life; the tracking of your activities on the MOOCs will be recorded and you will be acknowledged as an attending student and will be able to sit for the exam that will allow UNINETTUNO to officially assign you – in case of success – the university study credits corresponding to the selected courses, based on the Credits (European Credits Transfer System) - European Credit Transfer System, recognised by the Italian and by EU universities.

Detailed Programme Facts

  • Deadline and start date A student can apply at any time for this programme, there is no deadline.
  • Programme intensity Part-time
    • Average part-time duration 1 months
    • Intensity Flexible
  • Credits
    5 ECTS
  • Languages
    • English
    • Italian
    • Arabic
    • French
  • Delivery mode
    • Time flexibility
      Fully structured
    • Attendance
      No Attendance
    • Teacher support
      Continuous support with feedback on request

Programme Structure

Courses included:
  • Lesson n. 1: Course overview
  • Lesson n. 2: Using complex number
  • Lesson n. 3: Holomorphic functions
  • Lesson n. 4: The Cauchy Riemann equations
  • Lesson n. 5: Power series
  • Lesson n. 6: Contour integration
  • Lesson n. 7: Cauchy's theorem
  • Lesson n. 8: Cauchy's integral formula
  • Lesson n. 9: Laurent series
  • Lesson n. 10: Residues and boundaries
  • Lesson n. 11: Singularities and integrals
  • Lesson n. 12: Polynomials and definite integrals
  • Lesson n. 13: Further integration tecnique
  • Lesson n. 14: Laplace transforms
  • Lesson n. 15: Transforms calculus
  • Lesson n. 16: The inverse Laplace transforms
  • Lesson n. 17: The theory of distributions
  • Lesson n. 18: Working with distributions
  • Lesson n. 19: Convolution of function
  • Lesson n. 20: The Fourier transform
  • Lesson n. 21: Fourier inversion
  • Lesson n. 22: Fourier transforms of distributions
  • Lesson n. 23: Back to Laplace transforms


  • Prof. Simon Salamon - Politecnico di Torino (Torino - Italy)

English Language Requirements

This programme may require students to demonstrate proficiency in English.

General Requirements

  • to have a connection to the Internet. For optimum use an ADSL connection is suggested.
  • to have installed on one's own system one of the principal browsers available, for example: Microsoft Edge 
  • Note: Internet Explorer 11 on Windows 7 is not supported.
  • On the Linux platform it is possibile to access films in streaming by installing the proper codec on one's own mutimedia player of choice.
  • On MacOs, browser Safari, in the Privacy settings disable "Prevent Cross-Site Tracking".
  • On iOS, browser Safari, in the Privacy settings disable "Prevent Cross-Site Tracking".
  • to have installed on one's own system the software Adobe Acrobat Reader in order to view materials in pdf format. 

Tuition Fee


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