# Toronto Math Forum

## MAT334-2018F => MAT334--Tests => Term Test 1 => Topic started by: Victor Ivrii on October 19, 2018, 03:57:01 AM

Title: TT1 Problem 5 (morning)
Post by: Victor Ivrii on October 19, 2018, 03:57:01 AM
Find any region that is mapped bijectively to $\{w\colon \Re w\ge |\Im w |, \ 0< |w|\le 2\}$ by the map $w=e^z$. Draw both of them.
Title: Re: TT1 Problem 5 (morning)
Post by: Xiting Kuang on October 19, 2018, 11:02:51 AM
Please see the solution below.
Title: Re: TT1 Problem 5 (morning)
Post by: Xiting Kuang on October 19, 2018, 11:11:17 AM
Corrections done above.
Title: Re: TT1 Problem 5 (morning)
Post by: Xiting Kuang on October 19, 2018, 11:14:51 AM
Corrections done above.
Title: Re: TT1 Problem 5 (morning)
Post by: Victor Ivrii on October 20, 2018, 03:18:14 PM
You can modify your post and remove unwanted attachments. What are domains (you draw several), which one is correct? You need to state it explicitly rather than leaving to guesses.

Also, use LaTeX/MathJax instead of pitiful html math (or mess)
Title: Re: TT1 Problem 5 (morning)
Post by: Victor Ivrii on October 21, 2018, 01:53:09 AM
You need to say that domains in both cases are intersections of the "painted" domains.