assigned today:

Due today:

# in Lab

• rederived the ice differential equation
• derived the Euler method from the fundamental definition of derivatives:

$$\frac{df}{dt}=\lim_{\Delta t\to 0} \frac{f(t+\Delta t)-f(t)}{\Delta t}$$ leads to $$f(t+dt)\approx f(t)+f'(t)\Delta t$$

• talked about doing the ice problem using Euler in google sheets