MA 47001 - Mathematical Modeling And Analysis

Prerequisite(s): MA 26400 FOR LEVEL UG WITH MIN. GRADE OF C- AND MA 26500 FOR LEVEL UG WITH MIN. GRADE OF C-

Credit Hours: 3.00. This is an introductory course in applied mathematics, with an emphasis on mathematical modeling, simulation, and analysis. Elementary techniques of mathematical model formulation, simulation, and validation will be taught, together with basic mathematical theories and methods for analyzing and solving systems of ordinary and partial differential equations.
Course Learning Outcomes
1. Apply compartmental analysis, laws of physics and chemistry, and variation principle to construct simple models. 2. Employ dimensional analysis and the scaling method to simplify models. 3. Use phase line/plane analysis and linearization principle to analyze stability property of ODE dynamical systems. 4. Solve first order quasilinear PDEs and initial-boundary value problems of second order linear PDEs.

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