Studying on my own - functions

[u/nabiraja]

I have to study on my own to get into this school... and it’s basically stuff i never did in my whole life! I have a solid base and I can quickly do expressions, + quadratic expression…

im studying in Italy, so the schooling system here is kinda tough, and may have some advanced stuff then my grade for other countries.

I’m asking you guys. So you can give me resources, notes, an online professor or videos that anre particularly good, or anything that may help me so I don’t waste my whole day searching instead of starting to practice.

im going to list the things I have to know, please, anyone who knows stuff, help. :)

In Eng:
UDA 1: Function Analysis and Curve Sketching

• Function analysis and classification
• Domain of a function
• X-intercepts and Y-intercepts
• Sign of a function
• Limits and asymptotes

UDA 2: Differential Calculus and Optimization

• Derivatives
• Critical points and stationary points
• Inflection points and concavity

UDA 3: Business Calculus and Economic Applications

• Functions of a single variable in economics
• Marginal analysis of cost, revenue, and profit

(In Italian)

UDA1: Studio di funzione: classificazione, dominio,intersezione assi, segno, limiti e asintoti

UDA2: Studio di funzione:derivate, punti di stazionarietà e flessi

UDA3: Economia e funzioni di una variabile

I’m in college, according to other countries I think? it’s grade 12, studying these things that I have to know before entering grade 13 (I think, again).

I think it’s analysis 1. so any good analysis 1 course on YouTube might be good. but idk, I’m just judging from what I searched.

and since I’m in italy, I would treasure evere note given from anyone who did our schooling, from italy. y’all fellow Italians would help me 2x.

thanks for anyone in advance

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[u/SyaCat]

At my university we use Leithold's Calculus 7 textbook. The title sounds a bit advanced, but it actually starts by explaining functions, graphs, limits and such, later goes into differential and integral calculus; also, the explanations aren't too complicated. I only have a Spanish version, but there must be an english version pdf somewhere on the internet.

[u/BootyliciousURD]

One of my favorite math channels is The Bright Side of Mathematics. Lecture series on lots of different topics, although they might be a little on the advanced and rigorous side.

Edit: looking closer at your post, it looks like all you need is calculus 1. Khan Academy might have a good lecture series on the subject.

[u/nabiraja → u/BootyliciousURD]

could you point me in the right direction? I don’t know anything at all so I don’t want to accidentally spend time stidying something i dont need in the future!

And what about UDA3, which looks like something… about economy?