I've heard both...A friend of mine switched into 2nd year math after completion of 1st year engineering. This isn't very taxing because the first year math material isn't very profound. It's just a full year of calculus, and a half year of linear algebra...Engineers do more than that! But they essentially cover the same 'mathematical' material, with more applications.
However, a different friend of mine switched into first year engineering, after completion of level I math and stats. The reason he had to repeat first year is because Engineering is a very specialized field with very specific course requirements.
I suppose theoretically, if you took a lot of the sciences, physics and chemistry in particular, you may (possibly) be exempt from first year eng courses such as drafting. Jeanne Norris would be the person to see to discuss this, as RoyK mentioned, as well as the academic advisor for Science, Rita Campbell.
Make sure you go see them. If you can get any special consideration to avoid losing a year of your life, it's well worth the minor inconvenience of speaking to these people.
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