Advanced Calculus
MA 471G–001
Fall Semester 2013
Time: MWF
9:00–9:50 am
Professor: Dr.
Office: Patterson
Office Tower 759
Office Hours: MWF
10:00-12:00 or by appointment
Office
Phone: 859–257–1258
email: david.royster@uky.edu
URL: http://www.msc.uky.edu/droyster
Class
Homepage:
http://www.msc.uky.edu/droyster/courses/fall13/MA471 and on Blackboard http://elearning.uky.edu
Text: Understanding Analysis, 2ed, Stephen
Abbott, Springer, ISBN: 978-1441928665.
Prerequisites: Consent
of the Department
Objective: We
are going to study the mathematics behind the tool of Calculus. Why does it work they
way it does? What could go wrong? How do
we keep things from going wrong? We will provide rigorous proofs of many of the
results from Calculus and look at many examples of why rigorous proofs are
necessary for us mathematicians.
Tests: We
will have homework and 4 exams. The schedule indicates that the time for the
Final Exam is Tuesday, Dec 17 from 08:00 AM – 10:00 AM. We are required to meet during this time by
University policy.
Grades: You
will be able to obtain a maximum of 500 points in this class, divided as
follows:
|
Four
hour exams @ 100 points each |
400
points |
|
Homework |
200
points |
|
Total |
600
points |
Your grade will be based on the number of points
you earned according to the following scheme:
|
Total Points |
540–600 |
480–539 |
420–479 |
360–419 |
0–359 |
|
Final Grade |
A |
B |
C |
D |
E |
Mid-term Grades: Mid-term grades will be posted in myUK by the deadline establish-ed in the Academic Calendar
(http://www.uky.edu/Registrar/AcademicCalendar.htm)
Purpose: The
purpose of this course is twofold. First, in this course you are introduced, or
re-introduced, to the method of Mathematical
Proof. We will be working with the
badly behaved set of real numbers. The
purpose here is for you to learn how to prove theorems and develop exampls and counterexamples in the real
of the functions of one real variable.
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 Article II of the Student Code
of Conduct.
vi)
Be
on time to class and remain until dismissed.
Do not leave in the middle of class.
Inclement Weather Policy: The
University of Kentucky Severe Weather Policy can be found at http://www.uky.edu/PR/News/severe_weather.htm.
The UK Infoline at (859) 257-5684, UK TV Cable
Channel 16 and 19, or the UK Web site at www.uky.edu
are the best places to find the most up-to-date situation.
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 (859–257–1258) 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 from the web.
Excused Absences: Students need to notify the professor of absences prior to class when
possible. Senate Rule 5.2.4.2
defines the following as acceptable reasons for excused absences: (a) serious
illness, (b) illness or death of family member, (c) University-related trips,
(d) major religious holidays, and (e) other circumstances found to fit
“reasonable cause for nonattendance” by the professor.
Students anticipating
an absence for a major religious holiday are responsible for notifying the
instructor in writing of anticipated absences due to their observance of such
holidays no later than the last day in the semester to add a class. Information
regarding dates of major religious holidays may be obtained through the
religious liaison, Mr. Jake Karnes (859-257-2754).
Students are expected
to withdraw from the class if more than 20% of the classes scheduled for the
semester are missed (excused or unexcused) per university policy.
Verification of
Absences: Students may be asked to verify their
absences in order for them to be considered excused. Senate Rule 5.2.4.2 states that faculty have the right to request “appropriate
verification” when students claim an excused absence because of illness or
death in the family. Appropriate notification of absences due to
university-related trips is required prior to the absence.
Accommodations due to disability: If you have a documented disability that requires academic
accommodations, please see me as soon as possible during scheduled office
hours. In order to receive accommodations in this course, you must provide me
with a Letter of Accommodation from the Disability Resource Center (Room 2,
Alumni Gym, 257-2754, email address: jkarnes@email.uky.edu) for coordination of
campus disability services available to students with disabilities.