As you do jobs, the first thing you will notice is the heat meter:
The heat meter basically makes it very painful to power through the content. When it says "the tougher the job is to complete" it means it requires more energy and more importantly, more Parisian maps. Notice the difference in map cost when I have some heat built up:
After 8 hours passes, the heat meter will reset. It resets all at once; it does not go down over time. It only takes doing 3 jobs to make the heat meter go up. Once the heat meter is in the yellow, jobs cost an extra Parisian map. Once it is towards the higher end, jobs cost an extra 2 Parisian maps.
There are three jobs to complete in Chapter 1:
Enter Paris (requires 9 Parisian maps if you do it at minimal heat - 12% mastery each time you do the job).
Track Down Your Fixer (requires 17 Parisian maps if you do it at minimal heat - 6% mastery).
Gather The Materials
Comparatively, if you work through it in one sitting, it requires about 200 maps.
So far, it looks like chapter 1 will be pretty easy, as long as you can log on often. If you are able to log on twice a day, 8 hours apart, even if its only for a couple minutes, you will be spending far less time worrying about maps and finishing the content in time. If you want to sit there and work through all the jobs in a day or two, its going to be expensive.
Even if you finish Chapter 1 early, just remember that the developers have said each chapter is harder than the previous episode (just like every city). Just know that by "harder" they mean "will need more Parisian maps". Don't stop stocking up on these even if you blow through Chapter 1.
Since some of you have been asking about how to get maps: maps drop from fighting, doing jobs, and grid clears in robbing. Grid clears cost a lot of stamina, so this is not an efficient way to get maps.
Do the cheapest job you can afford that still drops random loot items (associate tier jobs in New York for example) in order to rack up a bunch of maps. Also spend your stamina on fighting, as this only costs 1 stamina per fight; each win in a fight can be thought of as a chance to get a map.