<p>As a Columbia physics department alumnus from the late '70’s and early '80’s, I’d say without a doubt go to Caltech.</p>
<p>Firstly, Columbia physics is not in the same league with that of Caltech, Harvard or MIT, which are hands down tops in physics. The problems with Columbia’s undergraduate program are:</p>
<p>1) The first two years’ physics curriculum is not well suited for majors. In the old days (my time), 1401-1402 and 2401-2402 were freshman and sophomore physics, where there were 4-5 labs per semester coincident with a two year treatment of Halliday & Resnick (this is a freshman level book and not appropriate for sophomore physics majors!). Now, there are only 3 semesters of physics lectures w/o labs during the first two years and a separate one semester intro lab course to be taken after the first two semesters’ lecture courses. Caltech’s first and second year physics curriculum (especially the second) is way above the level of Columbia’s. NOTE: Columbia now offers “Accelerated Physics 2801-2” but it’s roughly the equivalent of Caltech “analytical track” first year course. Still, there’s no second year course like Caltech’s Physics 12 or true sophomore labs. <a href=“http://www.pma.caltech.edu/GSR/physicscourses.html”>http://www.pma.caltech.edu/GSR/physicscourses.html</a></p>
<p>2) Columbia is math methods averse. You would think with the theory bias of the department that Columbia would have a lot of strength in mathematical methods of physics. However, it’s the exact opposite. There is some weird (or maybe macho) departmental notion that math hides physics. If you’re into math, go elsewhere for physics.</p>
<p>3) Math department curriculum is overly pure math focused. This is true at many universities, except those with many engineering and science students. The math department wants to serve its own majors and not those of other departments. Physics majors take at minimum of one semester of multivariate calculus, linear algebra, ODE’s, partial differential equations, and complex analysis in the math department. This is burdensome and jibes with the physics department’s being math methods averse.</p>
<p>4) Columbia junior/senior level labs are not very good preparation for real lab research. Caltech teaches electronics to sophomores and has experiments using more advanced equipment for junior/seniors.</p>
<p>5) NYC campus lacks space. Pupin physics building is over 100 years old (exactly 110, I think). It’s also 14 floors tall. Moving equipment for experiments from floor to floor is burdensome. Many of the great experimental physicists at Columbia have been in nuclear and particle physics and have conducted their experiments elsewhere.</p>
<p>Secondly, the Core has been enlarged in the last two decades by a adding a two semester non-Western civilization requirement and the dilettantish Frontiers of Science course. This is on top of required core Writing, CC, Lit Hum, Art Hum, and Music Hum courses. In order to get through Columbia as a physics major, you’ll need good luck with core section assignments, good reading skills and especially good punting skills (i.e. knowing what NOT to read). Columbia’s core curriculum is good for producing lawyers. However, it can be a burden for science types (even pre-meds are now opting for SEAS at Columbia).</p>
<p>Caltech’s Feymann Professor of Physics Kip Thorne claims that 40% of his undergraduate studies at Caltech were dedicated to “liberal education.” If I were in OP’s position, I take a good hard look at what Caltech’s drawbacks are and whether they are real or illusory. The real reason for going to Columbia isn’t the Core, the education or the physics department but rather NYC. Of course, getting to Columbia for grad school will be no problem from Caltech, but don’t count on getting to Caltech from anywhere. Further, NYC is a better place to be a grad student anyway.</p>
<p>BTW, Caltech is absolute tops in Ph.D. productivity of its undergrads. <a href=“Doctoral Degree Productivity - Institutional Research - Reed College”>http://www.reed.edu/ir/phd.html</a></p>