Mathematics and Modelling

This course is an introduction to mathematical modeling based on the use of elementary functions to describe and explore real-world phenomena and data. Linear, exponential, logarithmic, and polynomial function models are examined closely and are applied to real-world data in course assignments and projects. Other function models may also be considered. Throughout the course, computational tools (graphing calculators, spreadsheets, etc.) are used to implement, examine, and validate these models. Students are expected to actively
engage in the modeling process by questioning phenomena, collecting or creating data, and using computational tools to develop their models and evaluate their efficacy.

The goal of mastering the discipline

The overall goal of this course is to enable students to analyze mathematical models of real-world systems, choose numerical methods to calculate solutions, estimate its behavior and make predictions about behavior of these systems.  The focus of the course will be on seeking the connections between mathematics and management systems, studying and applying various modeling techniques to creating mathematical description of these systems, and using this analysis to make predictions about the system’s behavior.

The skills you get

  • to handle freely the concepts using in mathematical modeling
  • to analyze a simple physical phenomena in order to create a mathematical model
  • to understand the mechanism of mathematical modeling in management

Topics covered

  • Criteria for evaluating models
  • Classical Linear Regression Model
  • Confidence interval. Model specification
  • Time series analysis
  • Multiple regression models

When instructed

  • 1st year, 2nd semester

List of references and sourses

Functions, Data, and Models, Gordon and Gordon, The Mathematical Association of America, 2010