Continuous Mathematical Models

Entry requirements: Differential calculus (basics)

Credits: 3

Course: Core

Language of the course: English

Lecturer

Vasiliy Leonenko

Objectives

To get acquainted with the contemporary methods of mathematical modeling using deterministic continuous models (ordinary and partial differential equations), which includes model formulation, model analysis (analytic solution, numerical solution, analysis of the equilibrium points) and model calibration to data.

Contents

Basics of mathematical modeling, ODE formulation and solution (analytic, numerical), the foundations of stability theory, model analysis and calibration.

Format

Lectures and labs.

Assessment

Attendance is mandatory. Attendance of the introduction lecture is of crucial importance. The final grade is based on the student performance throughout the course: 60% weekly assignments, 10% group work, 30% individual work.