Applied Ordinary Differential Equations

This course provides a comprehensive introduction to ordinary differential equations and their applications. During the course, we will see how applied mathematicians use ordinary differential equations to solve practical applications, from understanding the underlying problem, creating a differential-equations model, solving it using analytical, numerical, or qualitative methods, and interpreting the findings in terms of the original problem. This course is geared towards methods for solving ordinary differential equations rather than the underlying theoretical foundations. Prerequisites: MATH 0100 or equivalent; knowledge of matrix-vector operations, determinants, and linear systems. Linear algebra is strongly recommended as a prerequisite or corequisite.