Summer
Mathematics Institute Part I
July
14th through July 25th, 2008
Location:
Steinberg Hall- Dietrich Hall 1206
Morning
Session: 10-12
Afternoon
Session: 1:30-3:30
Instructor:
Matthew Hoelle
Office:
McNeil 442
E-mail:
mhoelle <at> sas.upenn.edu
Important Announcements
The following are some sample statistics from the Part I of the Waiver Exam:
Mean 62.1
Median 59
St. Dev 17.29
Skewness 0.726
Kurtosis 0.0976
Course Information
The text for the course is
Rudin, Principles of Mathematical Analysis, Third
Edition, McGraw-Hill (1976).
As of Summer 2008, this course focuses only on Analysis in R1. It is assumed that the student is comfortable with Probability and Statistics at the level of either Hogg, Craig, and McKean Chapters 1-4 or Casella and Berger Chapters 1-4. Both texts make for great reference during the first year, with Casella and Berger being a recommended text for Econ 705.
Class Notes
SETS AND FUNCTIONS
TOPOLOGY
SEQUENCES
CONTINUITY
DIFFERENTIABILITY
Old Exams
(from
Summer 2007 session)
Exam
1 (Analysis in R1)
Exam
2 (Probability and Statistics)
(from
Summer 2008 session)
Quiz 1 (up to and
including Topology)
Quiz 2 (Sequences through Differentiability)
Final (all 3 parts)
Probability and Statistics
To
do before (during) Math Camp:
1.
Set
your PennKey and password
(Note: your e-mail address for your time here at Penn will be PennKey @
sas.upenn.edu, so don't get too fancy with the PennKey).
2.
Get
your PennCard
from the Franklin Building, Suite 150 (Franklin Building is West of Dunkin'
Donuts on Walnut St. b/w 34th and 36th streets).
3.
Put
PennCash
on the PennCard to use the GDAL printers (GDAL is the graduate computer lab
between the elevators on the third floor of McNeil).
4.
Set
up a GDAL account with the SSC staff in Room 304.
5.
Email
Kelly Quinn at kquinn <at> ssc.upenn.edu so that she can activate your
PennCard to get you into McNeil after hours (either use your new SAS e-mail
account or include your PennKey in the e-mail).
6.
Register
for classes (Econ 701, 703, 705, 898 for 1st year econ students) by
logging in with your PennKey and password, then clicking on 'Register'.