12569 - Computational Mathematics

Course Unit Page

SDGs

This teaching activity contributes to the achievement of the Sustainable Development Goals of the UN 2030 Agenda.

Quality education

Academic Year 2021/2022

Learning outcomes

At the end of this course, the student is aware of techniques for the solution of scientific calculus problems. She/He can face and solve such problems within a uniform, integrated computer algebra environment.

Course contents

  • Introduction to the Mathematica environment. Kernel, FrontEnd, and Notebook.
  • Introduction to programming within Mathematica.
  • Graphics and visualization tools.
  • Employing the system capabilites to analize and solve a particular applied problem, of didactical interest to the student, via a package development.

Readings/Bibliography

The material developed in class is made available to students enrolled in the course, through the VIRTUALE platform. Any other material/text, on Mathematica resources of Numerical and Symbolic Calculus, is obviously also useful, particularly for specific in-depth studies related to the exam project; the following (not compulsory) books are recommended because (besides being excellent texts) they are available at the UniBo Libraries.

  • Mathematica: A  Problem-Centered Approach, Roozbeh Hazrat, 2nd ed., Springer, London, UK, 2015.
  • An Introduction to Programming with Mathematica, R.J.Gaylord, S.N.Kamin, P.R.Wellin, 3nd ed., Cambridge University Press, Cambridge, UK, 2005.
  • Programming in Mathematica, 3rd ed., R. Maeder, Addison -Wesley, Reading, Mass., USA, 1997.
  • Front-end vision and multi-scale image analysis : multi-scale computer vision theory and applications, written in Mathematica, B. M. Ter Haar Romeny, Springer, Dordrecht, Netherlands, 2003.
  • Modern differential geometry of curves and surfaces with Mathematica, A.Gray, E. Abbena, S. Salamon, 3rd ed.,  Chapman & Hall, Boca Raton, Florida, USA, 2006.

Further Readings:

  • Wolfram U: open courses for students and professionals, www.wolfram.com/wolfram-u/
  • WRI Documentation Center,  reference.wolfram.com/language/
  • WRI How To Topics, reference.wolfram.com/language/guide/HowToTopics.html
  • Mathematica Resources, www.wolfram.com/mathematica/resources/

Teaching methods

1. Class lectures (obviously, complying with COVID-19 indications and the like)
2. Exercises in class and home assignments
3. Seminars

Assessment methods

Each student will be assigned a laboratory project, which they will choose according to their study interest and in agreement with the teacher; a viva-voce will follow, which may also consist in answering questions on the course subjects. The time taken by the project discussion may vary; generally, it takes at least an hour, but it might take longer.

Teaching tools

1. Laboratory activities in Mathematica (obviously, complying with COVID-19 indications and the like)
2. Course notes and material to study and exercise available at the VIRTUALE platform (https://virtuale.unibo.it) and text books available at the departmental libraries.

Links to further information

https://www.unibo.it/sitoweb/giulia.spaletta

Office hours

See the website of Giulia Spaletta