Math 451 Mathematical Modeling

Course Description

(3-0) 3 credits. Prerequisites: MATH 321 or permission of instructor. The primary goal of this course is to present the mathematical formulation and analysis utilized in scientific modeling. Applications from both Science and Engineering will be covered. The types of models will include deterministic and stochastic models. Topics may include: epidemiology, biomass, elasticity, heat flow, electrical circuits, mechanical vibrations and optimization.

Couse Learning Outcomes

A student who successfully completes this course should be able to:

  1. describe and interpret the components of a mathematical model
  2. construct linear system, integral equation, and/or differential equation models
  3. apply existence and uniqueness results to deterministic models
  4. analyze simple stochastic and/or probabilistic models
  5. determine model limits, analyze sensitivity, and estimate errors

Math 451 is also identified as a course to satisfy the BOR mandated Globalization/Global Issues requirement. Goal Statement: Students will understand the implications of global issues for the human community and for the practice of their disciplines

Student Learning Outcomes

As a result of taking courses meeting this goal, students will:

  1. Identify and analyze global issues including how multiple perspectives impact such issues
  2. Demonstrate a basic understanding of the impact of global issues on the practice of their discipline.