<p>^No. The above characterizations are wrong and outdated. Math 114 is ALL of multivariable calculus including Stokes, Green’s and Gauss (divergence) theorems. <a href=“http://www.math.upenn.edu/ugrad/calc/m114/math114syllabus.pdf”>http://www.math.upenn.edu/ugrad/calc/m114/math114syllabus.pdf</a> Math 240 is 5 weeks of linear algebra and 8 weeks ODE. <a href=“http://www.math.upenn.edu/ugrad/calc/m240/math240syllabus.pdf”>http://www.math.upenn.edu/ugrad/calc/m240/math240syllabus.pdf</a> 312 is applied linear algebra but assumes 240. Math 420 is more ODE and required for math majors. It is too advanced for freshman as it requires more mathematical maturity. </p>
<p>Anyone who has had one year multivariable (vector) calculus after a 5 on the BC should take the Math 114 advanced placement exam given in the Fall. See <a href=“http://www.math.upenn.edu/ugrad/advising.html”>http://www.math.upenn.edu/ugrad/advising.html</a> I would advise studying for it. Old 114 final exams are available on the web. However, because of curricular changes made as of last year, the actual exam will now include all multivariable calculus topics. If credit is granted for 114, then take 240 or forfeit 114 credit and take the honors courses 116-260.</p>