Differential Equations

What are differential equations? 

Differential equations arise from real-world problems and problems in applied mathematics. When mathematics is applied to real-world problems, it is often the case that finding a relation between a function and its rate of change is easier than finding a formula for the function itself; it is this relation between an unknown function and its derivatives that produces a differential equation.

For examples, using differential equations, biologists study population growths, physicists study spring mass motion, engineers study electrical circuits, epidemiologists study how viruses spread, etc.

I found that differential equations are fascinating in how one can use mathematics to describe and study some natural phenomenons, including how human brain works. I hope that you will find this class interesting and useful for your future career.