<p>[Quicksilver] Basically more theoretical and far more advanced. </p>
<p>Just to give you an example, the average engineering major in the US normally takes 3 semesters of calculus (including multivariable calculus), one semester of low-level ** applied ** linear algebra, one semester of elementary differential equations (mostly ODEs and perhaps a brief introduction to simple PDEs), and one semester of calculus-based probability and random variables with a brief introduction to random processes (perhaps discrete-valued Markov chains and basic Poisson processes). The really good students who enter college with several APs might, in a few really good schools like Caltech, MIT, or Harvard, take perhaps one course on introductory real analysis (basically calculus for real-valued functions of one real variable, but with a more theoretical perspective). </p>
<p>By contrast, an "ing</p>