Syllabus ( MATH 548 )
Basic information | ||||||
Course title: | Numerical Analysis of Partial Differential Equations | |||||
Course code: | MATH 548 | |||||
Lecturer: | Prof. Dr. Mansur İSGENDEROĞLU (İSMAİLOV) | |||||
ECTS credits: | 7.5 | |||||
GTU credits: | 3 (3+0+0) | |||||
Year, Semester: | 2,1, Fall and Spring | |||||
Level of course: | Second Cycle (Master's) | |||||
Type of course: | Area Elective | |||||
Language of instruction: | English | |||||
Mode of delivery: | Face to face | |||||
Pre- and co-requisites: | Numerical Analysis | |||||
Professional practice: | No | |||||
Purpose of the course: | In this course, the classical numerical methods for partial differential equations as well as convergence properties of these methods will be studied. The course will provide some fundamental knowledge and experience of working with numerical methods necessary for researchers in the field of applied mathematics and several related disciplines. | |||||
Learning outcomes
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Upon successful completion of this course, students will be able to:
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Develop and apply numerical solution methods to partial differential equations.
Contribution to Program Outcomes
- Define and manipulate advanced concepts of Mathematics
- Relate mathematics to other disciplines and develop mathematical models for multidisciplinary problems
- Review the literature critically pertaining to his/her research projects, and connect the earlier literature to his/her own results
- Acquire scientific knowledge and work independently
- Continuously develop their knowledge and skills in order to adapt to a rapidly developing technological environment
- Effectively express his/her research ideas and findings both orally and in writing
Method of assessment
- Written exam
- Homework assignment
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Analyse the numerical tecqniques for convergence using analytical methods.
Contribution to Program Outcomes
- Define and manipulate advanced concepts of Mathematics
- Acquire scientific knowledge and work independently
- Continuously develop their knowledge and skills in order to adapt to a rapidly developing technological environment
- Develop mathematical, communicative, problem-solving, brainstorming skills.
- Demonstrating professional and ethical responsibility.
Method of assessment
- Written exam
- Homework assignment
-
Have knowledge on the discretisation, and development of efficient methods.
Contribution to Program Outcomes
- Define and manipulate advanced concepts of Mathematics
- Relate mathematics to other disciplines and develop mathematical models for multidisciplinary problems
- Acquire scientific knowledge and work independently
- Work effectively in multi-disciplinary research teams
- Design and conduct research projects independently
- Continuously develop their knowledge and skills in order to adapt to a rapidly developing technological environment
- Develop mathematical, communicative, problem-solving, brainstorming skills.
- Effectively express his/her research ideas and findings both orally and in writing
- Demonstrating professional and ethical responsibility.
Method of assessment
- Written exam
- Homework assignment
-
Obtain approximate solutions to modeled life problems.
Contribution to Program Outcomes
- Define and manipulate advanced concepts of Mathematics
- Relate mathematics to other disciplines and develop mathematical models for multidisciplinary problems
- Review the literature critically pertaining to his/her research projects, and connect the earlier literature to his/her own results
- Acquire scientific knowledge and work independently
- Work effectively in multi-disciplinary research teams
- Design and conduct research projects independently
- Continuously develop their knowledge and skills in order to adapt to a rapidly developing technological environment
- Develop mathematical, communicative, problem-solving, brainstorming skills.
- Effectively express his/her research ideas and findings both orally and in writing
- Defend research outcomes at seminars and conferences.
- Write progress reports clearly on the basis of published documents, thesis, etc
- Demonstrating professional and ethical responsibility.
Method of assessment
- Term paper
Assessment
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Method of assessment | Week number | Weight (%) |
Mid-terms: | 9 | 30 |
Other in-term studies: | 0 | |
Project: | 14 | 30 |
Homework: | 2,4,6,8,10,12 | 10 |
Quiz: | 0 | |
Final exam: | 16 | 30 |
Total weight: | (%) |
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