MAA 4211 – Advanced Calculus 1 – Fall 2013

Class Home Page for Section 16G0

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Dr. David Groisser
308 Little Hall
392-0281 extension 261
groisser@ufl.edu

 

About this course

This course is the first 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.

This is a very different course from MAA 4102–4103 (Introduction to Advanced Calculus for Engineers and Physical Scientists). Our focus will be on proving theorems, not on applications to the sciences; if this focus is not to your tastes, you would probably be happier in MAA 4102–4103. However, if you are thinking of doing graduate work in mathematics, a theorem-proving course would serve you better.

 

Prerequisites

A grade of at least B in MAS 4105 (Linear Algebra, not to be confused with MAS 3114, Computational Linear Algebra) is the intended prerequisite. (The 2013-2014 Undergraduate Catalog lists a B in MAS 4105 as a prequisite for math majors in the BS track, for whom MAA 4211 is a required course; see Coursework for the major. This is the intended prerequisite for MAA 4211 for all students, even though the course-description section of the catalog still lists a C in MAS 4105 as the prerequisite. The math department has submitted paperwork requesting that the course-description section list a B in MAS 4105 as the prerequisite for MAA 4211. I strongly advise students who registered for MAA 4211 without having received at least a B in MAS 4105 to drop this class.) MAS 4105 itself has prerequisites: satisfactory grades in Calculus 3 and in either MHF 3202 (Sets and Logic) or MAS 3300 (Numbers and Polynomials).

If you have never taken a class in which writing proofs was a significant component, or for any other reason are not reasonably proficient at constructing and writing proofs, this course is not suitable for you.

 

Other skills needed

You must have the ability to write in clear, unambiguous, grammatically correct English sentences. An important goal of this course is to make sure that you are able to express mathematical ideas in precise terms and communicate them clearly to other people. A factor in your grade will be whether the instructor can understand your written work without excessive re-reading.


Last update made by D. Groisser Mon Aug 19 16:28:19 EDT 2013