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Biomathematics (MAE546A): Διαφορά μεταξύ των αναθεωρήσεων

Biomathematics (MAE546A): Διαφορά μεταξύ των αναθεωρήσεων

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Γραμμή 1: Γραμμή 1:
[[Undergraduate Courses Outlines]] - [https://math.uoi.gr  Department of Mathematics]
* [[Βιομαθηματικά (ΜΑΕ546A)|Ελληνική Έκδοση]]
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=== General ===
=== General ===
Γραμμή 18: Γραμμή 20:
! Course Code
! Course Code
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ΜΑΕ546
ΜΑΕ546A
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|-
! Semester
! Semester
Γραμμή 56: Γραμμή 58:
! Learning outcomes
! Learning outcomes
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The course is an introduction to the concepts of Biomathematics. The objectives of the course are:
This course is an introduction to the basic concepts of Biomathematics. Upon successful completion of the course, the student will be able to:
* Development of the theoretical background in matters relating to biomathematics.
* apply basic concepts of biomathematics  
* Ability of the student to apply the basic concepts of biomathematics.
* understand and apply advanced analytical and approximate techniques to biomathematics problems  
* Upon completion of this course the student will be able to solve with analytical and numerical methods simple problems of biomathematics and deepen further understanding of such methods.
* critically analyze and compare the effectiveness of methods and deepen their further understanding  
* combine advanced techniques to solve new problems in biomathematics
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! General Competences
! General Competences
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The course aims to enable the undergraduate students to develop basic knowledge of Biomathematics and in general of Applied Mathematics. The student will be able to cope with problems of Biomathematics giving the opportunity to work in an international multidisciplinary environment.
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
|}
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=== Syllabus ===
=== 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.
* 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 76: Γραμμή 91:
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! Use of Information and Communications Technology
! Use of Information and Communications Technology
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* Provision of study material through the ecourse
* Communication with students through e-mails, and the ecourse and MS Teams platforms
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! Teaching Methods
! Teaching Methods
Γραμμή 103: Γραμμή 120:
* Written examination at the end of the semester  
* Written examination at the end of the semester  
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=== Attached Bibliography ===
=== Attached Bibliography ===


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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:
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:


{{MAE546-Biblio}}
{{MAE546A-Biblio}}

Τελευταία αναθεώρηση της 12:25, 15 Ιουνίου 2023

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:

  • 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

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

  • 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
  • Provision of study material through the ecourse
  • Communication with students through e-mails, and the ecourse and MS Teams platforms
Teaching Methods
Activity Semester Workload
Lectures 39
Study of theory 78
Home exercises 33
Course total 150
Student Performance Evaluation
  • Weekly assignments
  • Final project
  • Written examination at the end of the semester

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
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