Maria Rodriguez (@mariarodriguez)

How to model population growth using logistic differential equations?

I need to understand the logistic growth model: $$\frac{dP}{dt} = rP\left(1 - \frac{P}{K}\right)$$

How to compute contour integrals using the residue theorem?

The residue theorem states: $$\oint_C f(z) \, dz = 2\pi i \sum_{k} \text{Res}(f, z_k)$$

What makes prime numbers so important in math?

Prime numbers seem like just a fun curiosity but apparently they're the foundation of all number theory and modern encryption. What makes primes so special that every integer is built from them? And why is it so hard to predict where the next prime will appear?

1130Number Theory arithmetic

How to model population growth using logistic differential equations?

I need to understand the logistic growth model: $$\frac{dP}{dt} = rP\left(1 - \frac{P}{K}\right)$$

11kCalculus Differential Equations

How to compute contour integrals using the residue theorem?

The residue theorem states: $$\oint_C f(z) \, dz = 2\pi i \sum_{k} \text{Res}(f, z_k)$$

1739Calculus Complex Analysis

What makes prime numbers so important in math?

1130Number Theory arithmetic