Introduction to Symbolic Mathematics (MAE644): Διαφορά μεταξύ των αναθεωρήσεων
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=== General === | === General === | ||
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! Course Website (URL) | ! Course Website (URL) | ||
| | | See [https://ecourse.uoi.gr/ eCourse], the Learning Management System maintained by the University of Ioannina. | ||
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=== Learning Outcomes === | === Learning Outcomes === | ||
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=== Attached Bibliography === | === Attached Bibliography === | ||
See [https://service.eudoxus.gr/public/departments#20 Eudoxus] | <!-- In order to edit the bibliography, visit the webpage --> | ||
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See the official [https://service.eudoxus.gr/public/departments#20 Eudoxus site] or the [https://cloud.math.uoi.gr/index.php/s/62t8WPCwEXJK7oL local repository] of Eudoxus lists per academic year, which is maintained by the Department of Mathematics. Books and other resources, not provided by Eudoxus: | |||
{{MAE644-Biblio}} | |||
Τελευταία αναθεώρηση της 12:31, 15 Ιουνίου 2023
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General
School |
School of Science |
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Academic Unit |
Department of Mathematics |
Level of Studies |
Undergraduate |
Course Code |
MAE644 |
Semester |
6 |
Course Title |
Introduction to Symbolic Mathematics |
Independent Teaching Activities |
Lectures and laboratory exercises (Weekly Teaching Hours: 3, Credits: 6) |
Course Type |
Special Background |
Prerequisite Courses | - |
Language of Instruction and Examinations |
Greek |
Is the Course Offered to Erasmus Students |
Yes |
Course Website (URL) | See eCourse, the Learning Management System maintained by the University of Ioannina. |
Learning Outcomes
Learning outcomes |
The course is an introduction to symbolic mathematical computations (computer algebra) and programming using a language for processing symbolic mathematical expressions, such as Mathematica. The course examines basic concepts in symbolic algebraic computations and emphases is given on finding the solution of a problem in closed form (exact solution) as opposed to a numerical solution (approximate solution). Using a symbolic language the course examines tools / commands to solve problems from different areas of Mathematics (Calculus, Algebra, Geometry, Statistics, etc.) and how to graphically show the results of solving a problem. Also programming methods are examined which can be used for the solution of a problem in addition to using just ready commands. Much of the course is to present the possibilities and tools available in a programming language for symbolic processing of mathematical expressions. After completing the course the student:
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General Competences |
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Syllabus
- Symbolic mathematical manipulation systems
- Introduction to Mathematica
- Representation of symbolic mathematical expressions
- Numerical computations
- Symbolic computations
- Symbolic manipulation of mathematical expressions
- Basic functions of Mathematica
- Lists
- Patterns and transformation rules
- Input / Output and Files
- Functions
- Structures for program flow control (assignment, selection, loops, etc)
- Programming with Mathematica
- Graphics
- Factorization
- Solving equations and systems
- Differentiation
- Integration
- Series
- Linear algebra
- Basic algorithms in symbolic mathematics
Teaching and Learning Methods - Evaluation
Delivery |
Face to face | ||||||||||
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Use of Information and Communications Technology | Yes | ||||||||||
Teaching Methods |
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Student Performance Evaluation |
Written final exam (70%) comprising:
Term project (teams) (30%)
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Attached Bibliography
See the official Eudoxus site or the local repository of Eudoxus lists per academic year, which is maintained by the Department of Mathematics. Books and other resources, not provided by Eudoxus:
- SCHAUM'S MATHEMATICA, EUGENE DON, 2006, Publicer KLEIDARITHMOS (translation)
- Mathematics and programming with Mathematica, Karampetakis Nikolaos, Stamatakis Stylianos, Psomopoulos Evangelos, 2004, Publicer Ziti Pelagia & Co.
- Wolfram, S., The Mathematica Book, 5 Edition, Wolfram Media.
- Abell, M., Braselton, J., Mathematica by Example, 2d Edition, Academic Press, 1997.
- Gaylord, R., Kamin, S., Wellin, P., An Introduction to Programming with Mathematica, 2d Edition, Telos Springer-Verlag, 1996.
- Gray, J., Mastering Mathematica - Programming Methods and Applications, 2d Edition, Academic Press, 1998.
- http://www.wolfram.com/
- http://library.wolfram.com/