Introduction to Symbolic Mathematics (MAE644): Διαφορά μεταξύ των αναθεωρήσεων
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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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Αναθεώρηση της 12:41, 13 Αυγούστου 2022
Undergraduate Courses Outlines - Department of Mathematics
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. Additionally:
- 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/