Course Description
Introduction: Principles of mathematical modeling, dimensional analysis, scale, approximating and validating models. Applications: Some applications such as traffic flow, modeling free vibration, blood flows in arteries, etc...
Course Objectives & Outcomes
Course Objectives
- Modeling real-world problems, by translating them into mathematical equations.
- Solve the model (in conjunction with appropriate computational methods).
- Interpret the mathematical solution in terms of the real-world application.
- Assess the strengths and weaknesses of the model and the information obtained from it.
Outcomes
On successful completion of this course student will be able to:
- Identify concepts of the dimensional analysis. scale, approximating and validating models
- Write real-world problems in mathematical terms, solve the resulting mathematical problems and interpret the solution in real world terms.
- Apply some typical problems include nonlinear programming, optimization problems, diffusion models.
References
- Dym, L.C., (2004), Principles of Mathematical Modeling, Fourth Edition, Elsevier, ISBN: 0-12-226551-3.
- Diordano, F.R., Fox, W.P., Horton, S.B. and Weir, M.D., (2009), A first course in mathematical modeling, 4th edition, Brooks/Cole, ISBN-13: 978-0-495-01159-0.
Course ID: MATH 409
| Credit hours | Theory | Practical | Laboratory | Lecture | Studio | Contact hours | Pre-requisite | 3 | 3 | 3 | 6 | MATH 401 - MATH 205 |
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