MATH410 MODELLING MATH.METHODS AND SCI.COMP.
| Course Code: | 2360410 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (2.00 - 2.00) |
| ECTS Credit: | 6.0 |
| Department: | Mathematics |
| Language of Instruction: | English |
| Level of Study: | Undergraduate |
| Course Coordinator: | |
| Offered Semester: | Fall Semesters. |
Course Objectives
Course Content
Introduction to numerical and symbolical computational tools. Balance equations, continuos system models and partial differential equations. Introduction to numerical methods for ordinary and partial differential equations. Case studies from mechanics, fluid dynamics, heat and mass transfer, electrical engineering. Introduction to stochastic process and differential equations. Models from mathematical finance.
Course Learning Outcomes
On successful completion of the course students will be able to:
1. Explore how mathematical modeling principles enhance our understanding of complex systems in science and engineering.
2. Learn to identify and model real-world problems, utilizing dimensional analysis and scaling to prepare mathematical models for analysis.
3. Apply various analytic and computational tools to analyze mathematical models, developing improved quantitative and analytical skills.
4. Study methods for comparing modeling results to observations, understanding how to refine models based on discrepancies.
5. Apply modeling techniques in projects or homeworks, producing detailed reports that demonstrate their ability to solve real-world problems and justify reasoning using appropriate mathematical and scientific terminology.
6. Work collaboratively to gather, compare, and summarize information from diverse sources and disciplines, utilizing computer software for mathematical modeling.
Program Outcomes Matrix
| Level of Contribution | |||||
| # | Program Outcomes | 0 | 1 | 2 | 3 |
| 1 | Acquires mathematical thinking skills (problem solving, generating ways of thinking, forming correspondence, generalizing etc.) and can use them in related fields. | ✔ | |||
| 2 | Can produce innovative thoughts and products. | ✔ | |||
| 3 | Can design mathematics related problems, devise solution methods and apply them when appropriate. | ✔ | |||
| 4 | Has a comprehension of mathematical symbols, concepts together with the interactions among them and can express his/her solutions similarly. | ✔ | |||
| 5 | Has a command of Turkish and English languages so that he/she can actively communicate (read, write, listen and speak). | ✔ | |||
| 6 | Contributes to solving global, environmental and social problems either individually or as being part of a social group. | ✔ | |||
| 7 | Respects ethical values and rules; applies them in professional and social issues. | ✔ | |||
| 8 | Can work cooperatively in a team and also individually. | ✔ | |||
| 9 | Is responsive to life-long learning, improving his/her skills and abilities | ✔ | |||
| 10 | Comprehends necessity of knowledge, can define it and acquires it; uses knowledge effectively and shares it with others | ✔ | |||
0: No Contribution 1: Little Contribution 2: Partial Contribution 3: Full Contribution