Mathematics 222
Please read this page if you are contemplating majoring in mathematics.
Background:
The Mathematics Department has changed its prerequisites for the
B.S. and A.B. degree in Mathematics. Previously Math 212 (Intermediate Calculus) and
Math 221 (Linear Algebra) were prerequisites for the major.
We now allow the course,
Math 222 (Advanced Multivariable Calculus) to replace Math 212 as a prerequisite for the Math major.
Note that Math 222 has Math 221 as a
prerequisite.
Recommendation for math majors:
We strongly encourage prospective Mathematics majors to take
Math 221 followed by Math 222, instead of Math 212
followed by Math 221. Thus, prospective math majors who enter with
advance credit for Math 21 and Math 22 would take Math 221 in their first semester,
and they would take Math 222 in their second semester.
This
sequence is also recommended for students who are curious about the
math major, or who are interested in getting a more solid mathematical
foundation.
Why the Change?
Vector calculus naturally depends on concepts and techniques of
linear algebra. Hence, a vector calculus class which assumes
linear
algebra as a prerequisite can offer a more sophisticated treatment of
the material.
Note for engineering students:
The usual math sequence for engineering students
Math 212, 216, 353  would be replaced by
Math 221, 222, 356, and 453 (or 551). Of course,
an engineering student should make sure that
the choice of math courses is approved by the department
of the student's engineering major.
Special note on scheduling:
A student completing secondsemester calculus (Math
112L or Math 122L) in a fall semester should not take the
Math 221/222 sequence, because Math 222 will be offered
only in spring semesters. Students completing a secondsemester
calculus course in the fall should either take Math 212 in the
spring and Math 221 in the following fallor take Math 221
in the spring and Math 212 in the following fall.
FAQs:
1. Can a math major still follow the previous plan of taking Math 212 followed by Math 221?
Yes.
2. As an engineering major, does getting a double major with math mean
that in effect Math 216 is being replaced by two courses, Math
221 and Math 356?
Math
221 and Math 356 together cover everything in Math 216,
and quite a bit more; but neither one alone covers everything in Math
216. This is because Math 216 covers some of both linear
algebra and differential equations. In addition to completing the
material of Math 216, Math 356 also covers part of Math
353. Math 453 then covers most of the remainder of Math
353, and goes into more depth on partial differential equations.
Math majors should have the depth and thoroughness contained in Math 221, Math 356, and Math 453.
3. What if I take Math 221 and then decide I do not want to take Math 222? May I still take Math 212?
Yes; however, you cannot take Math 216 after getting credit for Math 221.
4. What if I'm an engineering student, and after completing Math 216, I decide I want to be a math major?
You'll need to meet with the Director of Undergraduate Studies in Mathematics concerning the missed material in linear algebra.
5. As an engineering student who is considering majoring in math,
suppose I take Math 221 and then decide that I do not want to get a
double major with math. Am I locked into taking Math 356 and Math 453?
Probably yes, but you should consult with your major advisor or the Director of Undergraduate
Studies in your engineering department about your plans.
Official Description from the University Catalogue
Math 222. Advanced Multivariable Calculus. QS Partial differentiation,
multiple integrals, and topics in differential and integral vector
calculus, including Green's theorem, Stokes's theorem, and Gauss's
theorem for students with a background in linear algebra. Not open to
students who have taken Mathematics 202 or 212. Prerequisite:
Mathematics 221. Instructor: Staff. One course

