"You should be able to borrow chalk but I'll ask."

And a surface to write on? (She's seen the illusion mage teacher he hired her, of course, but she's not an illusion mage.)

"I'm sure the answer is yes but I'll ask anyway."

How soon might this be happening, so she can plan?

"Might be able to work out a time five days from now when all the relevant people would have the time and be in town."

Alright. She will plan for that. 

She adds planning the lecture to her schedule of the day.

She goes out on her own again.

It's another ordinary day of various sociopathic talking cats and such going about their business.

She hasn't actually fully gathered the 'sociopathic' yet; it's the sort of thing harder to entirely realize from materials meant for people used to this world. And her origins do not overly help.

If Valanda didn't take the money he gave her back, she heads for the library.

He didn't do that.

There is the library, same place as before, with its scrolls and codices.

She'd like to pay for reading time. She'll haggle to get the most out of her money.

She can get about a quarter of an hour.

Starting with quick look at Twelve Jobs You Can Do.

It's written on the assumption that the reader has very limited physical abilities and no ability to use magic to compensate. The tone is matter-of-fact. There is no mention of taking charity, even as a thing to avoid. 

Accommodations can be made for medical death and structure mages, though being able to make house calls is an advantage. It's not unheard of to get elected to an important position in state or imperial government while disabled, though it is unheard of for essi and ereli. For essi who can travel easily under their own power, there are jobs available for most kinds of mage: painting buildings, investigating crimes, encouraging crops, transmuting elements, keeping food safe, fireproofing buildings, all kinds of things. For people with the necessary dexterity, there's smithing, carpentry, pottery, weaving. It has ever happened that someone made a living publishing books or mathematical proofs.

Turns out there are actually more than twelve options total, but some of them rely on being the right kind of mage or having skills or body parts someone in the target audience is unusually likely not to have.

Do they seem to have wheelchairs? (Would the streets allow the use?)

The streets are flat and hard and wide enough and a lot of the nearby buildings have street-level entrances. The pavement is in good repair in most areas, too: there are some chipped tiles but there are no trees ripping it up with their roots or anything.

There's a mention in the book of renting or buying something that, in context, is probably exactly the same kind of thing that would be used to take a big unwieldy load of fruit to market. It doesn't say it explicitly but she can infer that it's probably nothing self-propelled.

She notes this.

And the Surprising Tips For All Twelve book?

Mildly counterintuitive tips for every kind of magic. Did you know if you make the same amounts of water and metal the same temperature the metal will cool less other stuff than the water before the temperatures equalize. Did you know that isotopes are a thing. Did you know that even though you can't use knowledge magic to translate written material you can use it to translate the act of writing something down, and you can pastwatch for the moment something was written and translate from that. And so on.

That's very interesting. 

Can she use this to get any hints of what the magic forms she's still unclear on do?

Maybe! The writer seems to have thought that inheritance mages would find it useful to know that some genes regulate the expression of other genes... but doesn't bother to explain what a gene is.

She can probably guess from context.

Does she have time to look at any of the other magic types before her time's up?

She can read a little more but not a lot.

Looks like most of the useful tips for mages are facts about the world around them rather than about their own magic.

What do the ones she has time for say?

One of them points out that selectively encouraging everything that isn't a weed is effectively the same thing as stunting weed growth, since the other plants will steal their water and block their sun.

A lot of these tips might be hard to understand and reading in a second language is pretty slow. She doesn't have the time, or the ability if she had the time, to understand everything.

She approves of this thinking.

She didn't particularly expect otherwise. More, and other books, will have to await another opportunity. She returns her reading material and leaves the library again.

And, she'd like to attempt to continue gaining information about the city and society. Does the map she's seen suggest in any way how large the city is? (Does anywhere in the market or elsewhere she's seen have a better map up?)

She's seen aerial views of cities on Hari Is The Language Of The Empire, if this one is typical it's not all that big. She could probably see the whole thing on foot in one day. There aren't any better maps on display. It's possible there are some for sale somewhere.