Mathstacy

Number Theory Quiz Number Theory Quiz Test your knowledge of divisibility, prime numbers, modular arithmetic, and more Q1 The division algorithm states that for any integers $a$ and $b$ with $b > 0$, there exist unique integers $q$ and $r$ such that: $a = bq + r$ where $0 \leq r $a = bq + r$ where $0 $a = bq + r$ where $0 \leq r \leq b$ ...

Complex Analysis Quiz Complex Analysis Quiz Test your knowledge of complex analysis concepts Q1 The polar form of a complex number $z = x + iy$ is: $z = r(\cos\theta + i\sin\theta) = re^{i\theta}$ where $r = |z|$ and $\theta = \arg(z)$ $z = r(\sin\theta + i\cos\theta) = re^{i\theta}$ where $r = |z|$ and $\theta = \arg(z)$ $z = r(\cos\theta - i\sin\theta) = re^{-i\theta}$ where $r =...