MATH 480 is designed as a first course in mathematical modeling, with an emphasis on model development and analysis using analytic methods. You will learn a variety of mathematical modeling approaches with applications in physical sciences, social sciences, finance, medicine, and business. Although mathematical theory that is new to you may be presented, we emphasize the application of mathematical methods to the study of real-world cases. Topics include both discrete and continuous dynamical-system-modeling approaches, stochastic modeling approaches, game theory, and optimization.
In this course, you will have the opportunity to build models yourself. A modeling assignment is included at the end of each unit.
Outline
Unit 1: Basic Principles and the Process of Mathematical Modeling
Unit 2: Modeling Change Using Difference Equations
Unit 3: Modeling Change Using Differential Equations
Unit 4: Modeling with Systems of Differential Equations
Unit 5: Population Genetics Models
Unit 6: Modeling with Decision Theory
Unit 7: Game Theory
Unit 8: Markov Processes
Objectives
Upon successful completion of this course, you will be able to
differentiate between types of mathematical models in terms of their respective roles, including
empirical (phenomenological) versus theoretical (mechanistic) models,
static versus dynamic models, and
stochastic versus deterministic models.
develop mathematical models of deterministic and probabilistic systems.
identify and conduct appropriate methods to analyze mathematical models.
effectively communicate the development, analysis, and subsequent conclusions of mathematical models to both technical and non-technical audiences.
Evaluation
To receive credit for MATH 480, you must achieve an average of at least 50% on the eight assignments, a grade of at least 50% on the final project, and a course composite grade of at least D (50 percent).
The weighting of the composite grade is as follows:
Activity
Weight
8 Assignments (10% each)
80%
Final Project
20%
Total
100%
To learn more about assignments and examinations, please refer to Athabasca University’s online Calendar.
Materials
Giordano, F. R., Fox, W. P., & Horton, S. B. (2014.) A first course in mathematical modeling (5th ed.). Brooks/Cole. (eText)
Athabasca University reserves the right to amend course outlines occasionally and without notice. Courses offered by other delivery methods may vary from their individualized study counterparts.