Instructor: Bill Abikoff
Text: Tom Apostol's Advanced Calculus 1, Second Edition
Meeting times: 12 to 12:50 M in MSB 311 and 12:30 to 1:45 TuTh in MSB 411.
The course is the first in a theory-oriented sequence giving an introduction to calculus (from an advanced point of view), differential equations and linear algebra. The sequence provides a sound foundation for further study in mathematics, statistics and theoretical science and engineering. The course will have projects which complement the class material.
I expect that the participants in this course have studied the basic calculational skills of AB calculus --- roughly corresponding to a 4 or 5 on the AB calculus AP test or a 3 on the BC exam. Those scores are required for admission to the course. It is directed at students who have demonstrated an aptitude for mathematics and are willing to work hard to further both their skills and a deeper understanding of rigorous, conceptual thinking. The sequence provides an organized introduction to the ideas of the subjects and reasoning with those ideas and concepts. You’ll work hard but I’m there to back you up.
I think it might be useful to make available some further
information
about the course. An informal
description is given when you click here.
You might also find it interesting to compare this course with the MIT undergraduate courses on calculus from a theoretical viewpoint. Look at the OpenCourseWare project at MIT:
http://ocw.mit.edu/OcwWeb/Mathematics/index.htm
Their course number is 18.014. They use the same text
but cover the material extremely quickly.
I often follow the questions asked by the class
rather than my own notes --- so you should try to take good notes and I
encourage you to share them.
My e-mail address is abikoff@math.uconn.edu.
Clicking
on the address should give you a pop-up
mailer window. My homepage is http://www.math.uconn.edu/~abikoff.
My office hours are listed here.
I will always be available, as often and as soon as needed, by appointment. e-mail is the most reliable means of contacting me.
Lists of homework assignments, projects and other
information for students are given as given as hypertext links below.
The lists are works in progress and will change as the semester
progresses.
Projects are available here.
New
and important is a place where I'll put items
as
needed.
There is no specific, formal prerequisite for the
course but it is by invitation only and permission of the
instructor is required.