Class Home Page for Groisser section of Advanced Calculus 2
MAC 4212—Section 16E9 (15595)
Spring 2019
Most handouts and other
information will be available via links or (sub)menus from this page
and/or the syllabus page.
General facts about this course
This course is the second semester of a two-semester sequence (MAA
4211–4212) intended for students who wish to pursue graduate study in
mathematics. It is also suitable for other strong students with a deep
interest in the conceptual side of mathematics, not just the
computational side. The sequence MAA 4211–4212 is best treated as a
one-year course, with a certain body of material to be covered by the
end of the spring, rather than as a course that can be
compartmentalized into semesters. Much of the material covered in the
first semester is intended to develop tools that will be used in the
second, where things will ``come together'' more.
Prerequisites
A grade of at least C in MAA 4211, taken last
semester. Any student not meeting this prerequisite must discuss his
or her situation with me and get explicit permission from me to take
this class. In some instances the instructor may allow MAA 4211,
taken in an earlier year, to serve as prerequisite; similarly the
instructor may allow the combination of MAA 4226/5228, taken last semester,
and MAS 4105, to serve as a prerequisite. However, all students
are responsible for all material covered in my section of MAA 4211 last
semester. Note that MAA 4102/5104 (Advanced Calculus for
Engineers and Physical Scientists) absolutely does not serve as
a prerequisite for MAA 4212.
Other skills needed
You must have the ability to write in
clear, unambiguous, grammatically correct English sentences. Having
completed MAA 4211, you are now expected to be able to express
mathematical ideas in precise terms, and communicate them clearly to
other people. You are also expected not to make mistakes in
elementary logic. If your instructor cannot understand your written
work without excessive re-reading, or if there are elementary-logic
flaws in your proofs, you will not receive a satisfactory grade in
this course. If you do not believe that expressing
yourself precisely and clearly is your responsibility, you
should not take this class.