Class Home Page for Groisser section of Advanced Calculus 2
MAC 4212—Section 3009 (15179)
Spring 2020

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 with Dr. Groisser. 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 1) 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.