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  • Courseware 
    Dynamic Systems and Control

    Dynamic Systems and Control

    The course addresses dynamic systems, i.e., systems that evolve with time. Typically these systems have inputs and outputs; it is of interest to understand how the input affects the output (or, vice-versa, what inputs should be given to generate a desired output). In particular, this course will concentrates on systems that can be modeled by Ordinary Differential Equations (ODEs), and that satisfy certain linearity and time-invariance conditions.

    Subjects:
    Computing
    Keywords:
    Mathematical models Dynamics System theory
    Resource Type:
    Courseware
     
  • Courseware 
    Mathematical Modeling Basics

    Mathematical Modeling Basics

    How do populations grow? How do viruses spread? What is the trajectory of a glider? Many real-life problems can be described and solved by mathematical models. In this course, you will form a team with another student and work in a project to solve a real-life problem. You will learn to analyze your chosen problem, formulate it as a mathematical model (containing ordinary differential equations), solve the equations in the model, and validate your results. You will learn how to implement Euler’s method in a Python program. If needed, you can refine or improve your model, based on your first results. Finally, you will learn how to report your findings in a scientific way. This course is mainly aimed at Bachelor students from Mathematics, Engineering and Science disciplines. However it will suit anyone who would like to learn how mathematical modeling can solve real-world problems.

    Subjects:
    Mathematics and Statistics
    Keywords:
    Mathematical models
    Resource Type:
    Courseware