Basically, any university study is tough. In the case of engineering, you need to learn lots of math and science. However, being good an algebra is a good sign. Of course you'll need to learn quite a bit more than high-school algebra, but knowing this algebra is an important basis - you'll need it to study engineering. Also, it is an indication that you might be good at other, similar, subjects (i.e., more advanced math).
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It is about the same difficulty as Mechanical Engineering. Where I went to school, it was in the same department and most of the classes were the same except the specialized aero courses.
No, they are not as tough as the question says, but it needs a lot of knowledge about the programming languages like C++, Java, Basic, etc. There is a good career in software programming as the It companies are in requirement of good software engineers.
Everything is a tough course if you don't pay attention in class, don't do the coursework, don't study, don't meet the prerequisites, don't have the aptitude, don't care, etc.
For Chemical Engineering Aspen Plus or Dynachem are good programs
Engineering schools are open to men and women. You can study process engineering or manufacturing engineering. There are many more choices. IT engineering is a good choice also.