INS 226 - Fundamentals of Mathematical Modelling in Engineering

Course Objectives

1. Basic philosophical thoughts, logic and derivetion of simple formulations by verbal information data are given to engineers
2. Derivation of basic equations and formulations based on linguistic thoughts
3. Avoidance of memorization and dominate thoughts on basic subjects rationally
4. Establishment of necessary models by measurement values

Course Description

Formulation of real models. Assumptions. Formulation of mathematical problems. Model validation. Solution interpretation. Model use in explanation. Decision. Design and prediction. Differential equations for basic ideas and concepts. Differential equations for growth and decay. Mathematical modeling. Variables separable differential equations. Modeling with first order differential equations. Modeling with linear second order differential equations. Non- linear second order differential equations. Systems of differential equations in engineering and chaotic behaviors. Dynamic chaotic modeling. Fractal geometry modeling. Population models. Carbon dating. Water heating and cooling models. Artificial kidney machine modeling. Rocket flights. Lake modeling. Mechanical oscillations. Computer applications.