The Ivy League is an official trademarked name, representing a specific consortium of colleges and universities in the U.S.. They have not changed in many years: Harvard, Yale, Princeton, University of Pennsylvania, Brown, Cornell, Dartmouth, and Columbia are the only schools in the Ivy League.
Many people feel that a degree from an Ivy League school provides advantages when seeking employment. I would also encourage you to look into institutions that are highly rated for your desired field. Johns Hopkins, MIT, Middlebury, Tulane, USC. A degree from one of those institutions would be as valuable!
Check out this entry..."How much more Ivy League Grads make more than you..."
Most importantly, you will get out of college what you put into it!
While the term was in use as early as 1933, it became official only after the formation of the NCAA Division I athletic conference in 1954. Seven of the eight schools were founded during the colonial period (all except Cornell, which was founded in 1865) and thus account for seven of the nine Colonial Colleges chartered before the American Revolution. The other two colonial colleges, Rutgers University and the College of William & Mary, became public institutions instead.
Ivy League schools are viewed as some of the most prestigious universities in the world. All eight universities place in the top seventeen of the 2020 U.S. News & World Report national undergraduate university rankings, including four Ivies in the top three (Columbia and Yale are tied for 3rd). U.S. News has named a member of the Ivy League as the best national undergraduate program in each of the past 18 years ending with the 2018 rankings.
That being said, their academic prowess is not unrivaled; in fact, Stanford and MIT outrank them in Niche;s top 20 Best colleges rankings. For your chosen field of study, I would recommend looking at MIT.