"So why is it a totally different course?"
This question is independent of how the machine actually works.
"It would have to do because they are very complex subjects or make more or less use of mathematical algorithms?"
There is no computation without algorithms that use mathematics... The amount or size is related to the algorithm itself, depends on what it will do, but both AI that will define a whole range of behaviors and interpretations as the ML that will absorb these definitions, will use a reasonable amount of complexity.
I have no doubt that these are closely related terms and that ML is a sub-category of AI.
The difference in my view, since ML is a sub-category of AI, is that AI is more linked to cognitive functions inherent to the human being, and that ML uses these concepts to learn and perform.
In my view it’s as if AI is the theory and ML is the practice.
So to answer your question, "Why Artificial Intelligence and Machine Learning are Different Subjects?" ...
They are not different matters, they are complementary matters...
Here you can see that ML is AI sub-category, of course it’s wiki, but logically we can agree that yes...
Machine learning or machine learning ("machine Learning") is a sub-field of computer science that evolved from the study of pattern recognition and the theory of computational learning in artificial intelligence.
And here can see a little more through the mind of one of the precursors of AI.
A machine that learns would not be intelligent? And the intelligence of a machine, would not be artificial?
– Marcus Becker
I don’t have much knowledge on these aspects, but I see that AI is a very comprehensive discipline, that MA is within this discipline, MA is more centered on theories of how a machine learns and the standards it can recognize.
– Leonardo
Vixi, colleague... I think this question tends to be based on opinions, huh? In my opinion you are right, in the sense that matters are related (and that AM is, in a sense, a discipline of AI). But there may be those who disagree, perhaps because they see the applied knowledge of MS more as having origin in statistics, for example. The choice to have a separate course may stem merely from the amount of subject to be dealt with (since both areas are enormous). Anyway, I wonder how constructive this particular discussion will be. :/
– Luiz Vieira
@Luizvieira I agree that opinions should be avoided and respected, however in this case the evidence of the terms points to a specific direction...https://pt.wikipedia.org/wiki/Journal_of_Machine_Learning_Research I do not send this link because it is wiki, but by the publisher...
– MagicHat
@Luizvieira anxiously awaits one of his magnificent answers on the subject haha
– MarceloBoni
haha Thank you for the consideration, @Marcelobonifazio. But the answers have already been given (including in comments) by the other colleagues. And the question has just been closed (automatically, by the way). I like the subject, but I think the closure is just because this discussion is difficult (and quite opinionated, in my opinion rs). Why are Mathematics and Statistics different subjects? Why do you study Logic in Engineering, Computing and Philosophy? See how these questions are very similar. Anyway, even if it wasn’t opinionated, I hardly think it would be constructive for this site.
– Luiz Vieira
Curiously, today UOL published an article about scientists using data to predict everything. This type of process (in which data is used to build a predictive model) is certainly an important part of AM. Note that although the article does not cite AI once, it cites "mathematical models", "statistical model", and "[...] mathematics and statistics are the ingredients of the perfect cake recipe".
– Luiz Vieira
All the answers just made me think that a course sold only as AI is wrong. Please specify which topics of the MI this course addresses.
– Marcus Becker