Foundations of Real Analysis
MATH 6101–090
Fall Semester 2008
Classroom: Fretwell 406
Time: W 5:00–7:45 pm
Professor: Dr.
Office: COED 227
Office Hours: W 4:00 – 5:00, or by appt
Office Phone: 704–687–8817
email:
Click here to email me
URL: http://education.uncc.edu/droyster
Class Homepage: http://education.uncc.edu/droyster/courses/fall08/MATH6101090
Text: Real Analysis: A Historical Approach, Saul Stahl.
Other: You
will want to have access to a TI Graphing Calculator. It can be an 83, 83+, 84, 84+, 89, 200,
TInspire or
Voyage. If you want to insist on using
an 85 or an 86, I can usually assist you.
If you insist on an HP or a Casio, you may be out in the stream in your
own boat.
Number of Class Meetings in the Semester: 15 classes
Prerequisites: Consent of the Department
Objective: “Axiomatic and historical development of the real and complex numbers; rigorous development of limits and continuity of functions, intermediate and extreme value theorems.” Basically, we will study the mathematics that underpins Algebra II and Precalculus that you may teach in high school.
Tests: We will have homework, classwork and a final. The schedule indicates that as of now it will be Wednesday, December 17 from 6:30 – 9:30 PM. We are required to meet during this time by University policy.
Grades: Your course grade will be determined by the homework, the classwork, and the final.
Purpose: We are going to take a look at the fundamental mathematics that provides the foundation for the courses you teach in high school. We will be looking at the real and complex numbers, decimal notation (maybe not even in base 10), sequences and series of real numbers, and FUNCTIONS – polynomial, exponential, logarithmic, trigonometric and beyond! We will be asking questions such as “Is 0.99999… = 1?”, “Are all functions ‘nice functions’?”, “What are some of the properties of the real numbers that make things work the way that they do?”
We will proceed up to the edge of the “Calculus Precipice” – but won’t jump until next semester.
Class Policies: There are several policies to which you must pay heed.
i) Attendance is extremely important in a class of this level. If you feel that you do not need to attend this class, you are in the wrong classroom—go find a course in which you will be challenged and in which you will learn something new.
ii) You are allowed one unexcused absence and one excused absence in this course. Any absences beyond this will have an impact on your grade for the course.
iii) You have been given a day-by-day course syllabus. You NOW KNOW when we have class and when we do not have class. I expect you to be here on all days that we have class.
iv) I will not accept late homework. If for some reason you miss a class and it is excusable, see me as soon as possible to discuss the situation.
v) Academic dishonesty will be punished severely. Be cognizant of the Code of Student Academic Integrity.
vi) Be on time to class and remain until dismissed. Do not leave in the middle of class.
Inclement Weather Policy: The UNC Charlotte Weather Hotline is (704) 687–2877. In the event that we have inclement weather[1] but the University does not close or cancel classes, and I have to cancel the class, a message to that effect will be left on my voicemail (704–687–4543) and I will email every member of the class (if I have access to email).
If
you feel that travel during inclement weather would be hazardous, then
try to inform me as soon as safely possible.
You will be given the opportunity to make up any work missed or due on
that day. As always, each student is
responsible for any work missed and will be expected to get the notes from
another student or the web.