Syllabus: [pdf]

__Exams__

**Exam 1**: [pdf] [tex]

**Exam 2**: [pdf] [tex]

**Exam 3**: [pdf] [tex]

__Homework__

**Homework 1** (*due 26 August*) (solution: [pdf]): click here

**Homework 2** (*due 4 September*) (solution: [pdf]): click here

**Homework 3** (*due 9 September*) (solution: [pdf]): click here

**Homework 4** (*due 16 September*) (solution: [pdf]): click here

**Homework 5** (*due 2 October*) (solution: [pdf]): click here

**Homework 6** (*due 9 October*) (solution: [pdf]): click here

**Homework 7** (*due 14 October*) (solution: [pdf]): click here

**Homework 8** (*due 23 October*) (solution: [pdf]): click here

**Homework 9** (*due 30 October*) (solution: [pdf]: click here

**Homework 10** (*due 11 November*) (solution: [pdf]): click here

**Homework 11** (*due 18 November*) (solution: [pdf]): click here

**Homework 12** (*due day of final exam*) (solution: [pdf]): click here

__Quizzes__

**Quiz 1** (*due 28 August*) (solution: [pdf]): Write in polar form and multiply $z_1=-2$ and $z_2=3$.

**Quiz 2** (*due 27 September*) (solution: [pdf]): Use the logarithm definition of the principal $\mathrm{Arccos}$ function to compute $\mathrm{Arccos}\left( \dfrac{1}{2} \right)$.

**Quiz 3** (*due 9 October*) (solution: [pdf]): Calculate $\displaystyle\int_C \overline{z} \mathrm{d}z$ where $C$ is the contour $\left\{ \begin{array}{ll}
z(t)=2e^{it} \\
-\dfrac{\pi}{2} \leq t \leq \dfrac{\pi}{2}.
\end{array} \right.$

**Quiz 4** (*due 14 October*) (solution: [pdf]): Recall that to parametrize a line segment from $a+bi$ to $c+di$ use $\left\{ \begin{array}{ll} z(t)=t(c+di)+(1-t)(a+bi) \\
0 \leq t \leq 1 \end{array} \right.$. Use this to parametrize the curve $C$ appearing below and compute $\displaystyle\int_C \mathrm{Re}(z) \mathrm{d}z$.

__Class notes__

Notes for week 1

Notes for week 2-3

Notes from week 3-4

Notes from week 4

Notes from week 6

Notes from week 7

Notes from week 8

Notes from week 9

Notes from week 10-11

__Other stuff__

Mobius transformations revealed by Douglas Arnold and Jonathan Rogness

**Domain coloring of** $e^{\frac{1}{z}}$: (almost) all colors appear in every circle around the "essential singularity" at $z=0$, demonstrating the Great Picard Theorem