Florian Pop: Teaching
Florian Pop: Math 202 (Proofs -Analysis)
E-mail:
pop AT math.upenn.edu
Office/Phone/Fax: DRL 4E7A / 215-898-5971 / 215-573-4063
Office hours: Mo, Fr 1:00-2:30 PM.
Please make an appointment in advance (by email).
TA: Linbo Liu, Office/Phone/E-mail: DRL 1N1 / 267-982-9825 / linbo@sas.upenn.edu
General Information
- See
Undergrad Course Description
- Class: Tu 10:15-12:00(noon) in DRL 4C6,
Th 10:30-12:00(noon) in DRL 3C6.
First class on Tu, Aug 29, 2017.
- Lab: Mo, We 6:30-8:30 PM
- This course is about rigorous proofs in the
context of Analysis. For a passing grade, the students
are expected to:
- Understand rigorous mathematical argumentation/proofs
and to be able to write coherent mathematical proofs.
- Understand and know the material and be able to solve
related problems.
- Syllabus:
Basic facts about an axiomatic approach to sets and operations
with sets. Basic facts about construction of the domains of
numbers: the natural, integer, rational numbers, and the
usual operation with numbers. The real numbers and their
definition, the basic operations with and properties of real
numbers. The definition of continuity, differentiability,
integrability, and basic properties (with proofs). Proof of
Fundamental Thm of Calculus. The properties of the
elementary functions, and of spaces of functions.
- Required background/prerequisites: The
high school honors algebra, familiarity with proofs, e.g.,
proofs by induction and/or proofs in (Euclidean) geometry.
- Resources: There are several books you
can use (and some course notes might/will be provided).
- J. P. D'Angelo - D. B. West, Mathematical
Thinking: Problem-Solving and Proofs, 2nd Edition,
Prentice Hall (2000).
- Serge Lang, Undergraduate Analysis (This is
a more advanced text, and has a large amount of material.)
Basic Rules:
- The final grade is based on midterms
and a final exam (30%+35%) and everything else (35%).
"Everything else" consists of regular homework,
participation/performance in class and lab, etc.
- Exam dates (tentatively): Oct 12, Nov 16, Dec 14, 2017.
- Miscellania: Announcements, homework assignment, notes,
etc., will all be posted on web. No hard copies will be distributed. Please
check this page frequently for the most updated information. Remember
to use to RELOAD button of your browser.
- Homework:
- Homework will be assigned each week, and in oder to see the
homework please follow the links under
Homework
Math 202. The homework assignment of each week is tentatively
due on Wednesday of the next week.
- Your works should contain complete solutions, and rigorous and
logically correct proofs for theoretical problems. (Note: such a proof
must be written in grammatically correct language.)
- You are encouraged to work in groups and
discuss/communicate with each other as much as possible.
But the work you hand in must be your own write-up.
- Late work will not be accepted.
- Grading Note: At the end of the semester, everyone
who has not withdrawn from the class will get a grade. The
grade "I" (Incomplete) will not be given to avoid the
grade "F" (Fail).
Info pages for undergraduate math:
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