Math 202(102)
Background
Heretofore one of the requirements for the BS degree in economics was
Math 212(103). Following discussions among members of the Mathematics
and Economics Departments in the spring of 2006, Math 202(102) was
created. This new course is not
equivalent to Math 212(103), but starting in the 2006-2007 academic
year, the Economics Department will replace their Math 212(103)
requirement with the requirement that BS majors in economics take Math
202(102). However, because all Engineering majors and some Trinity
College majors require Math 212(103), the Economics Department will
continue to accept Math 212(103) credit in lieu of Math 202(102) for
the sake of students who want to double major in economics and such a
major.
First Offering
Math 202(102) was first offered in the spring of 2007.
Course Description of Math 202(102)
Gaussian elimination, matrix algebra, determinants, linear
independence. Calculus of several variables, chain rule, implicit
differentiation. Optimization, first order conditions, Lagrange
multipliers. Integration of functions of several variables.
Prerequisite: Mathematics 122(32), 112L(32L) or 122L(41L). Not open to
students who have taken Mathematics 212(103).
Here is a recent Math 202(102) syllabus.
Note for Engineering, Science, and Math Majors
Students who are considering a science major, a math major, or an
engineering major should take Math 212(103) instead of Math 202(102),
even if you're considering a double major with economics.
FAQs
- So, what's the difference between Math 202(102) and Math 212(103)?
Topics
from 212(103) which are not covered in Math 202(102) include: vector
fields, line integrals, surface integrals, integral theorems of Green,
Gauss and Stokes. Most of the linear algebra, optimization, and
implicit differentiation content of Math 202(102) is not in Math
212(103), nor are the examples from economics.
- What
if I take Math 212(103), because the major I'm considering requires
Math 212(103), and then later I decide that I want to major in
econmoics?
In such a case, the Economics Department will accept credit for Math 212(103) in lieu of Math 202(102).
- What if I take Math 202(102), thinking I will definitely major
in economics, and then later I change my mind and choose a major that
requires Math 212(103)?
For the math major, you would need to learn on your own the material
from Math 212(103) that is not included in Math 202(102). This material
includes some integration techniques and the chapter on vector
calculus, making up approximately the last third of Math 212(103). Then
at the end of the following semester, you will be required to
demonstrate your proficiency in that material by taking the relevant
portion of the Math 212(103) block final. After you demonstrate
proficiency in that material, the Director of Undergraduate Studies
in Math will waive the Math 212(103) prerequisite for the major in
mathematics. For other majors, such as physics, computer science,
and engineering, you would have to contact the Director of
Undergraduate Studies in that department to find out how to proceed.
- What
if I'm considering an econ major, but I'm not sure about econ because I
also have some interest in other majors, some of which require Math
212(103). Should I take Math 202(102) or Math 212(103)?
You should take Math 212(103) to keep your options open. In fact the
combination of Math 212(103) and Math 221(104) will keep open all
academic doors which may require mathematics.