FACULTY OF ENGINEERING
Department of Biomedical Engineering
MATH 400 | Course Introduction and Application Information
Course Name |
Biomathematics
|
Code
|
Semester
|
Theory
(hour/week) |
Application/Lab
(hour/week) |
Local Credits
|
ECTS
|
MATH 400
|
Fall/Spring
|
3
|
0
|
3
|
7
|
Prerequisites |
None
|
|||||
Course Language |
English
|
|||||
Course Type |
Elective
|
|||||
Course Level |
First Cycle
|
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Mode of Delivery | - | |||||
Teaching Methods and Techniques of the Course | Problem SolvingQ&ALecture / Presentation | |||||
Course Coordinator | - | |||||
Course Lecturer(s) | ||||||
Assistant(s) |
Course Objectives | In this course, how to use basic mathematical concepts such as some basic concepts in analysis and algebra, difference equations, probability theory in different biological cases will be given. On the other hand, qualitative analysis of geometry and numerical computation techniques will be done on computers. |
Learning Outcomes |
The students who succeeded in this course;
|
Course Description | Biological applications of difference and differential equations. Biological applications of nonlinear differential equations. Biological applications of graph theaory. |
|
Core Courses | |
Major Area Courses |
X
|
|
Supportive Courses | ||
Media and Management Skills Courses | ||
Transferable Skill Courses |
WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES
Week | Subjects | Related Preparation |
1 | Linear differential equations: theory and examples, introduction, basic definitions and notation, first-order linear systems | "An Introduction to Mathematical Biology" by Linda J.S.Allen, Pearson, 2006. ISBN-13: 978-0130352163 Section 4.1, 4.2, 4.7 |
2 | Phase Analysis, an example: Pharmacokinetics model | "An Introduction to Mathematical Biology" by Linda J.S.Allen, Pearson, 2006. ISBN-13: 978-0130352163 Section 4.8, 4.10 |
3 | Application to population growth models, delay logistic equation | "An Introduction to Mathematical Biology" by Linda J.S.Allen, Pearson, 2006. ISBN-13: 978-0130352163 Section 5.3, 5.9 |
4 | Biological applications of differential equations; harvesting a single population, predator-prey models, competiton models | "An Introduction to Mathematical Biology" by Linda J.S.Allen, Pearson, 2006. ISBN-13: 978-0130352163 Section 6.2, 6.3, 6.4 |
5 | Chemostat model, epidemic models | "An Introduction to Mathematical Biology" by Linda J.S.Allen, Pearson, 2006. ISBN-13: 978-0130352163 Section 6.7, 6.8 |
6 | Excitable systems | "An Introduction to Mathematical Biology" by Linda J.S.Allen, Pearson, 2006. ISBN-13: 978-0130352163 Section 6.9 |
7 | Reaction-diffusion equation, spread of genes and traveling waves | "An Introduction to Mathematical Biology" by Linda J.S.Allen, Pearson, 2006. ISBN-13: 978-0130352163 Section 7.3, 7.6 |
8 | Euler method | "Numerical solutions of ordinary differential equations", Kendall Atkinson, Weimin Han, David Stewart, Chapter 2 |
9 | Systems of differential equations | "Numerical solutions of ordinary differential equations", Kendall Atkinson, Weimin Han, David Stewart, Chapter 3 |
10 | The backward Euler method and the trapezoidal method | "Numerical solutions of ordinary differential equations", Kendall Atkinson, Weimin Han, David Stewart, Chapter 4 |
11 | Taylor and Runge–Kutta methods | "Numerical solutions of ordinary differential equations", Kendall Atkinson, Weimin Han, David Stewart, Chapter 5 |
12 | Applications to biological models | |
13 | Applications to biological models | |
14 | Applications to biological models | |
15 | Semester Review | |
16 | Final Exam |
Course Notes/Textbooks | "An Introduction to Mathematical Biology" by Linda J.S.Allen, Pearson, 2006. ISBN-13: 978-0130352163 |
Suggested Readings/Materials | "An Invitation to Biomathematics" by Raina Stefanova Robeva, James R. Kirkwood, Robin Lee Davies, Leon Farhy, Boris P. Kovatchev, Academic Press, 1st Edition, 2007. ISBN-13: 978-0120887712 "Numerical solutions of ordinary differential equations", Kendall Atkinson, Weimin Han, David Stewart |
EVALUATION SYSTEM
Semester Activities | Number | Weigthing |
Participation | ||
Laboratory / Application | ||
Field Work | ||
Quizzes / Studio Critiques | ||
Portfolio | ||
Homework / Assignments | ||
Presentation / Jury |
1
|
30
|
Project |
1
|
30
|
Seminar / Workshop | ||
Oral Exams | ||
Midterm | ||
Final Exam |
1
|
40
|
Total |
Weighting of Semester Activities on the Final Grade |
2
|
60
|
Weighting of End-of-Semester Activities on the Final Grade |
1
|
40
|
Total |
ECTS / WORKLOAD TABLE
Semester Activities | Number | Duration (Hours) | Workload |
---|---|---|---|
Theoretical Course Hours (Including exam week: 16 x total hours) |
16
|
3
|
48
|
Laboratory / Application Hours (Including exam week: '.16.' x total hours) |
16
|
0
|
|
Study Hours Out of Class |
14
|
4
|
56
|
Field Work |
0
|
||
Quizzes / Studio Critiques |
0
|
||
Portfolio |
0
|
||
Homework / Assignments |
0
|
||
Presentation / Jury |
1
|
30
|
30
|
Project |
1
|
30
|
30
|
Seminar / Workshop |
0
|
||
Oral Exam |
0
|
||
Midterms |
0
|
||
Final Exam |
1
|
46
|
46
|
Total |
210
|
COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP
#
|
Program Competencies/Outcomes |
* Contribution Level
|
||||
1
|
2
|
3
|
4
|
5
|
||
1 | To have adequate knowledge in Mathematics, Science and Biomedical Engineering; to be able to use theoretical and applied information in these areas on complex engineering problems. |
X | ||||
2 | To be able to identify, define, formulate, and solve complex Biomedical Engineering problems; to be able to select and apply proper analysis and modeling methods for this purpose. |
X | ||||
3 | To be able to design a complex system, process, device or product under realistic constraints and conditions, in such a way as to meet the requirements; to be able to apply modern design methods for this purpose. |
X | ||||
4 | To be able to devise, select, and use modern techniques and tools needed for analysis and solution of complex problems in Biomedical Engineering applications. |
X | ||||
5 | To be able to design and conduct experiments, gather data, analyze and interpret results for investigating complex engineering problems or Biomedical Engineering research topics. |
|||||
6 | To be able to work efficiently in Biomedical Engineering disciplinary and multi-disciplinary teams; to be able to work individually. |
|||||
7 | To be able to communicate effectively in Turkish, both orally and in writing; to be able to author and comprehend written reports, to be able to prepare design and implementation reports, to present effectively, to be able to give and receive clear and comprehensible instructions. |
|||||
8 | To have knowledge about global and social impact of Biomedical Engineering practices on health, environment, and safety; to have knowledge about contemporary issues as they pertain to engineering; to be aware of the legal ramifications of engineering solutions. |
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9 | To be aware of ethical behavior, professional and ethical responsibility; to have knowledge about standards utilized in engineering applications. |
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10 | To have knowledge about industrial practices such as project management, risk management, and change management; to have awareness of entrepreneurship and innovation; to have knowledge about sustainable development. |
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11 | To be able to collect data in the area of Biomedical Engineering, and to be able to communicate with colleagues in a foreign language. |
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12 | To be able to speak a second foreign language at a medium level of fluency efficiently. |
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13 | To recognize the need for lifelong learning; to be able to access information, to be able to stay current with developments in science and technology; to be able to relate the knowledge accumulated throughout the human history to Biomedical Engineering. |
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest
NEWS |ALL NEWS
Biomedical Engineering Erasmus Agreement was signed with Universidad Jaume University, Spain
The signing process for the agreement with Universidad Jaume for Biomedical Engineering has been completed. Our students can add this university to
OCCUPATIONAL HEALTH AND SAFETY TRAINING
Within the scope of BME 318 course, an Occupational Health and Safety Seminar was given to Biomedical Engineering students by our University's
An Oligonucleotide Story by Assoc. Prof. Dr. Osman DOLUCA
Within the scope of the Biomedical symposium organized by İzmir Katip Çelebi University Biomedical Society, our department chair, Assoc. Prof. Dr. Osman
Projects were entitled to receive support within the scope of the TÜBİTAK 2209-A
We congratulate our students and wish them continued success.
Important breakthrough in virus detection
Assoc. Prof. Dr. Osman Doluca, Acting Head of Department of Biomedical Engineering, Izmir University of Economics (IUE), reported that they have developed
'Smart cabinet' against the virus
Assoc. Prof. Dr. Osman Doluca and his 4 students from Izmir University of Economics (IUE) developed a 'PCR cabinet' that allows samples