Biomathematics (MAE546A): Διαφορά μεταξύ των αναθεωρήσεων
Από Wiki Τμήματος Μαθηματικών
Χωρίς σύνοψη επεξεργασίας |
Χωρίς σύνοψη επεξεργασίας |
||
(13 ενδιάμεσες αναθεωρήσεις από τον ίδιο χρήστη δεν εμφανίζεται) | |||
Γραμμή 1: | Γραμμή 1: | ||
[[ | * [[Βιομαθηματικά (ΜΑΕ546A)|Ελληνική Έκδοση]] | ||
{{Course-UnderGraduate-Top-EN}} | |||
{{Menu-OnAllPages-EN}} | |||
=== General === | === General === | ||
Γραμμή 18: | Γραμμή 20: | ||
! Course Code | ! Course Code | ||
| | | | ||
ΜΑΕ546A | |||
|- | |- | ||
! Semester | ! Semester | ||
Γραμμή 48: | Γραμμή 50: | ||
|- | |- | ||
! Course Website (URL) | ! Course Website (URL) | ||
| | | See [https://ecourse.uoi.gr/ eCourse], the Learning Management System maintained by the University of Ioannina. | ||
|} | |} | ||
=== Learning Outcomes === | === Learning Outcomes === | ||
{| class="wikitable" | {| class="wikitable" | ||
Γραμμή 55: | Γραμμή 58: | ||
! Learning outcomes | ! Learning outcomes | ||
| | | | ||
This course is an introduction to the basic concepts of Biomathematics. Upon successful completion of the course, the student will be able to: | |||
* apply basic concepts of biomathematics | |||
* | * understand and apply advanced analytical and approximate techniques to biomathematics problems | ||
* | * critically analyze and compare the effectiveness of methods and deepen their further understanding | ||
* combine advanced techniques to solve new problems in biomathematics | |||
|- | |- | ||
! General Competences | ! General Competences | ||
| | | | ||
The course aims to enable the | The course aims to enable the student to analyze and synthesize basic knowledge of Biomathematics and Applied Mathematics. | ||
* Search for, analysis and synthesis of data and information, with the use of the necessary technology | |||
* Adaptation to new situations | |||
* Autonomous work | |||
* Decision making | |||
* Work in an interdisciplinary environment | |||
|} | |} | ||
=== Syllabus === | === Syllabus === | ||
Short introduction of Algebra, Analysis and Differential Equations | |||
Algbraic statistics for Computational Biology: Algebraic varieties and Groebner bases, Toric ideals and varieties, Linear and toric models | * Short introduction of Algebra, Analysis and Differential Equations | ||
* Differential equations of biofluids motion | |||
* Applications of mathematical modeling of biofluids in the human body and in the arterial system | |||
* Analytical and numerical techniques for solving the differential equations describing biofluids flows | |||
* Algbraic statistics for Computational Biology: Algebraic varieties and Groebner bases, Toric ideals and varieties, Linear and toric models | |||
* Markov bases, Markov bases for hierarchical models, Contigency tables, Phylogenetic Models. | |||
=== Teaching and Learning Methods - Evaluation === | === Teaching and Learning Methods - Evaluation === | ||
{| class="wikitable" | {| class="wikitable" | ||
Γραμμή 75: | Γραμμή 91: | ||
|- | |- | ||
! Use of Information and Communications Technology | ! Use of Information and Communications Technology | ||
| - | | | ||
* Provision of study material through the ecourse | |||
* Communication with students through e-mails, and the ecourse and MS Teams platforms | |||
|- | |- | ||
! Teaching Methods | ! Teaching Methods | ||
Γραμμή 102: | Γραμμή 120: | ||
* Written examination at the end of the semester | * Written examination at the end of the semester | ||
|} | |} | ||
=== Attached Bibliography === | === Attached Bibliography === | ||
<!-- In order to edit the bibliography, visit the webpage --> | |||
<!-- https://wiki.math.uoi.gr/index.php/%CE%A0%CF%81%CF%8C%CF%84%CF%85%CF%80%CE%BF:MAE546A-Biblio --> | |||
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: | |||
{{MAE546A-Biblio}} |
Τελευταία αναθεώρηση της 12:25, 15 Ιουνίου 2023
- Ελληνική Έκδοση
- Undergraduate Courses Outlines
- Outline Modification (available only for faculty members)
- Department of Mathematics
- Save as PDF or Print (to save as PDF, pick the corresponding option from the list of printers, located in the window which will popup)
General
School |
School of Science |
---|---|
Academic Unit |
Department of Mathematics |
Level of Studies |
Undergraduate |
Course Code |
ΜΑΕ546A |
Semester |
5 |
Course Title |
Biomathematics |
Independent Teaching Activities |
Lectures (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 (in English) |
Course Website (URL) | See eCourse, the Learning Management System maintained by the University of Ioannina. |
Learning Outcomes
Learning outcomes |
This course is an introduction to the basic concepts of Biomathematics. Upon successful completion of the course, the student will be able to:
|
---|---|
General Competences |
The course aims to enable the student to analyze and synthesize basic knowledge of Biomathematics and Applied Mathematics.
|
Syllabus
- Short introduction of Algebra, Analysis and Differential Equations
- Differential equations of biofluids motion
- Applications of mathematical modeling of biofluids in the human body and in the arterial system
- Analytical and numerical techniques for solving the differential equations describing biofluids flows
- Algbraic statistics for Computational Biology: Algebraic varieties and Groebner bases, Toric ideals and varieties, Linear and toric models
- Markov bases, Markov bases for hierarchical models, Contigency tables, Phylogenetic Models.
Teaching and Learning Methods - Evaluation
Delivery |
In class | ||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|
Use of Information and Communications Technology |
| ||||||||||
Teaching Methods |
| ||||||||||
Student Performance Evaluation |
|
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:
- Algebraic Statistics for Computational Biology, L. Pachter, B. Sturmfels, 2005, Editor: Cambridge University Press
- Cardiovascular Mathematics, Modeling and simulation of the circulatory system, Formaggia L., Quarteroni A., Veneziani A., 2009, Editor: Springer