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Content
Objective
Teaching the working principles of Computer Algebra Systems (CAS) and forming students to be able to use these systems efficiently for their mathematical works.
Course Content
Structure of SageMath
Arithmetic in SageMath
Searching librarires of SageMath effectively, accessing the source code
Linear Algebra in SageMath
Real Analysis and Plotting in SageMath
Solving Equations in SageMath
Group Theory in SageMath using GAP
Adding new functionalities to SageMath and documenting it
Course Learning Outcomes
Understanding the differences between numeric and symbolic computations
Being able to use SageMath softwares libraries to tackle mathematics problems from various fields (analysis, linear algebra, abstract algebra, combinatorics,...etc)
Being able to code programs in SageMath suitable to the mathematics problem at hand
Have a general understanding of capabilities of SageMath, and knowing how to navigate its documentation
Being able to write clear documentation for their own functions
Teaching and Learning Methods
Lecturing
Exercice and discussion sessions
Computer Applications
References
Computational Mathematics with SageMath, Zimmermann et al., https://dl.lateralis.org/public/sagebook/sagebook-ba6596d.pdf
Lecture Notes of MSC320 Intoduction to Symbolic Computation, Jan Verschelde, Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, https://homepages.math.uic.edu/~jan/mcs320/mcs320notes/index.html
Lecture Notes of MAT007 Introduction to computer algebra and mathematical programming, Johannes Schmitt, University of Zurich, https://johannesschmitt.gitlab.io/mat007/index.html
Sage for Undergraduates, 2nd Edition, Gregory V. Bard, American Mathematical Society
SageMath ile Matematik, Sinan Kapçak, Nesin Yayınevi, 2023 https://nesinkoyleri.org/wp-content/uploads/2023/06/sagemath_kitap_20230510.pdf
Weekly Contents
| Week | Weekly Contents |
|---|---|
| 1 | Ways of using SageMath, its general structure |
| 2 | Arithmetic in SageMath |
| 3 | Solving Equations in SageMath |
| 4 | Plotting in SageMath |
| 5 | Midterm 1 |
| 6 | Linear Algebra with SageMath |
| 7 | Linear Algebra with SageMath |
| 8 | Linear Algebra with SageMath |
| 9 | Polynomials with SageMath |
| 10 | Midterm 2 |
| 11 | Polynomials with SageMath |
| 12 | Polynomials with SageMath |
| 13 | Group theory with SageMath |
| 14 | Group theory with SageMath |
Assessment System
| Activities | Number | Contribution |
|---|---|---|
| Contribution of in-term studies to overall grade | 2 | 60 |
| Contribution of final exam to overall grade | 1 | 40 |
| Total | 3 | 100 |
| Activities | Number | Contribution |
|---|---|---|
| Assignments | 0 | 0 |
| Presentation | 0 | 0 |
| Midterm Examinations (including preparation) | 2 | 60 |
| Project | 0 | 0 |
| Laboratory | 0 | 0 |
| Other Applications | 0 | 0 |
| Quiz | 0 | 0 |
| Term Paper/ Project | 0 | 0 |
| Portfolio Study | 0 | 0 |
| Reports | 0 | 0 |
| Learning Diary | 0 | 0 |
| Thesis/ Project | 0 | 0 |
| Seminar | 0 | 0 |
| Other | 0 | 0 |
| Make-up | 0 | 0 |
| Total | 2 | 60 |
Relation of Proficiency
| No | Program Learning Outcomes | Contribution | ||||
|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | ||
| 1 | ||||||
| 2 | ||||||
| 3 | X | |||||
| 4 | X | |||||
| 5 | X | |||||
| 6 | X | |||||
| 7 | ||||||
| 8 | X | |||||
| 9 | X | |||||
| 10 | ||||||
| 11 | X | |||||
| 12 | ||||||
| 13 | X | |||||
| 14 | X | |||||
| 15 | X | |||||
| 16 | X | |||||
| 17 | X | |||||
ECTS
| Activities | Number | Period | Total Workload |
|---|---|---|---|
| Class Hours | 14 | 3 | 42 |
| Working Hours out of Class | 14 | 6 | 84 |
| Assignments | 0 | 0 | 0 |
| Presentation | 0 | 0 | 0 |
| Midterm Examinations (including preparation) | 2 | 20 | 40 |
| Project | 0 | 0 | 0 |
| Laboratory | 0 | 0 | 0 |
| Other Applications | 0 | 0 | 0 |
| Final Examinations (including preparation) | 1 | 10 | 10 |
| Quiz | 0 | 0 | 0 |
| Term Paper/ Project | 0 | 0 | 0 |
| Portfolio Study | 0 | 0 | 0 |
| Reports | 0 | 0 | 0 |
| Learning Diary | 0 | 0 | 0 |
| Thesis/ Project | 0 | 0 | 0 |
| Seminar | 0 | 0 | 0 |
| Other | 0 | 0 | 0 |
| Make-up | 0 | 0 | 0 |
| Yıl Sonu | 0 | 0 | 0 |
| Hazırlık Yıl Sonu | 0 | 0 | 0 |
| Hazırlık Bütünleme | 0 | 0 | 0 |
| Total Workload | 176 | ||
| Total Workload / 25 | 7.04 | ||
| Credits ECTS | 7 | ||