· Instructor:
Paul Taylor
· Phone:
477-1705
· email:
pttaylor (at) ship.edu
· Lectures:
MCT251-TR, 9:30-10:45
· Office
Hours: MCT281 - MTWRF 1:00-2:00
· Textbooks:
· M. H.
Protter and C. B. Morrey, A First Course in Real Analysis, 2nd Ed,
Springer Undergraduate Texts in Mathematics
· W. F.
Trench, Introduction to Real Analysis, online at: http://ramanujan.math.trinity.edu/wtrench/texts/TRENCH_REAL_ANALYSIS.PDF
· Course
Web Page: http://webspace.ship.edu/pttaylor/441/441home.html
TOPICS OUTLINE
· Real
numbers and open and closed sets (including axioms)
· Limits
and continuity (including limits with epsilon-delta)
·
Sequences of real numbers and functions (including Bolzano-Weierstrass,
Cauchy sequences, Heine-Borel)
·
Derivatives
STUDENT EXPECTATIONS
· This is
a proof intensive course. Students will be required to write clear, accurate,
detailed mathematical proof.
· Attend
every class period.
· If there
is a concept with which you need extra help, or if you find yourself falling
behind, tell me about it. Come to office hours for extra help, or send me an
email explaining your concerns. The sooner the better.
GRADE WEIGHTING
Your numerical grade for the course will be out of 500. The points are assigned
as follows:
· 100
points - Homework
· 125
points - Midterm Exam 1
· 125
points - Midterm Exam 2
· 150
points - Final Exam
Your total points will be converted to a letter
grade according to the following scale:
|
Letter
Grade |
A |
A- |
B+ |
B |
B- |
C+ |
C |
D |
F |
|
Point Total |
465-500 |
450-464 |
435-449 |
415-434 |
400-414 |
375-399 |
325-374 |
250-325 |
less than 250 |
HOMEWORK
Homework problems will be posted online for most classes. Each Thursday, you
are required to submit the completed homework from the previous week. Only some
of the problems you submit will be graded. Your grade on each homework will be
out of 10 points, 6 points determined by the graded problems and 4 points
determined by the completeness of the non-graded problems. You will lose 1
point from the non-graded portion for each non-graded problem left blank.
After the homework is due, solutions to all problems will be posted on the
class website. No late homework will be accepted.
EXAMS
There will be two midterm exams. Material covered will be announced in class
and on this web page. The tentative dates are Thursday, February 19 and
Thursday, April 2. If you anticipate a conflict with any of these dates, you
must inform me at least one week in advance, or no accommodations will be
given.
The final exam will be longer and contain problems from the entire course.
EXTRA CREDIT
You can earn extra credit for participating in certain mathematical enrichment
activities. You can receive a maximum of 10 points of extra credit.
· You
receive 2 points for attending the seminar and writing a paragraph containing
some of your thoughts on the seminar. Your paragraph must be sent to Dr. Taylor
by email prior to the next class period. Attending conferences and presenting
in seminars or conferenes qualify for these points.
· You
receive 2 points for submitting a solution for the Problem Solving Contest.
Your solution must be submitted before the deadline for the problem. Your
solution need not be correct, but it must represent a strong effort (as
determined by Dr. Taylor).
· You
receive 8 points for participating in the Mathematical Contest in Modeling
(MCM).
POLICY REGARDING MISSED WORK
If you are going to miss an exam or a homework deadline, inform me beforehand
as soon as possible and at least one week in advance. We will then be able to
arrange an alternate test time or deadline.
If you miss a homework deadline because of sudden, unexpected reasons, inform
me as soon as possible by email.
ACADEMIC DISHONESTY It is the policy of Shippensburg University to
expect academic honesty. Students who commit breaches of academic honesty will
be subject to the various sanctions outlined in the Undergraduate Catalog.
OFFICE OF ACCESSIBLE RESOURCES Shippensburg
University welcomes students with disabilities into all of the University's
educational programs and strives to make all learning experiences as accessible
as possible. Any student who feels s/he may need an accommodation based
on the impact of a disability should contact the Office of Accessibility
Resources (OAR) to discuss specific needs. OAR is located in Mowrey Hall
252 and can be reached by phone at (717) 477-1364 or via email at oar@ship.edu. The office�s website is www.ship.edu/oar.
In order to receive consideration for reasonable accommodations, you must
provide documentation and participate in an intake meeting. If the
documentation supports your request, the Office of Accessibility Resources will
provide you with an Accommodation Notification Form. OAR encourages you
to share your notification form with your instructors and discuss your
accommodations with them as early in your courses as possible. You must submit
a request for a new notification form each semester that you request
accommodations.
CAS ADVISING CENTER The College of Arts & Sciences Advising
Center (CASA): located in DHC 216, CASA is a walk-in office that
offers several types of academic support, from advice and help on time
management, test anxiety, and study skills to discussions about what major
might be right for you. You can email (casa@ship.edu) or call (717-477-1150) to set
up a time to meet with a success coach or faculty advisor.
TITLE IX
Shippensburg University of Pennsylvania and its faculty are
committed to assuring a safe and productive educational environment for all
students. To comply with the requirements of Title IX of the Education
Amendments of 1972 based on the 2020 Regulations and the
university’s commitment to offering supportive measures in accordance with the
2020 regulations issued under Title IX, Shippensburg University of Pennsylvania
requires faculty members to report incidents of sexual violence shared by
students to the university's Title IX Coordinator, Dr. John Burnett
[JABurnett@ship.edu] or [Title9@ship.edu]. The only exceptions to the faculty
member's reporting obligation are when incidents of sexual violence are
communicated by a student during a classroom discussion, in a writing
assignment for a class, or as part of a university-approved research project. Faculty
members are obligated to report sexual violence or any other abuse of a student
who was, or is, a child (a person under 18 years of age) when the abuse allegedly
occurred to the person designated in the university’ Protection and Supervision
of Minors on Campus Policy.
Information regarding the reporting of sexual violence and
the resources that are available to victims of sexual violence are available on
the Office of Human Resources website:
https://www.ship.edu/about/offices/hr/title_ix_statement/
Reports may be made to the following individuals:
Lorie Shetz, Nipa Browder Jennifer
Milburn Trejon Dinkins
Interim Title IX Coordinator Interim Title IX Coordinator Deputy
Title IX Coordinator Deputy Title IX Coordinator
Office of Student Affairs
Office
of Human Resources Housing/ResLife Retention
and Student Succes
Old Main 210 Old Main 109 Old Main 210
ELL 127
Shippensburg, PA 17257 Shippensburg,
PA 17257 Shippensburg, PA
17257
Shippensburg, PA 17257
Email: LADavis@ship.edu
Email: Nbrowder@ship.edu Email: JSMilburn@ship.edu
Email: TADinkins@ship.edu
771-477-1164 717-477-1124 Option 7 717-477-1904
717-477-1123 x3075
Alix Rouby Mary
Burnett
Deputy Title IX Coordinator Deputy Title IX
Coordinator
Career Center International Programs
CUB
108 MOW 247
Email: AJRouby@ship.edu Email: MEBurnett@ship.edu
717-477-4595
717-477-1279
https://cm.maxient.com/reportingform.php?ShippensburgUniv&layout_id=3
Link for the Formal Complaint
form:
https://cm.maxient.com/reportingform.php?ShippensburgUniv&layout_id=21
Link for campus resources:
https://www.ship.edu/about/offices/hr/title_ix_statement/resources/
Last modified: Jan 14, 2026