M365C Real Analysis I
Semester: Fall 2017
Lecture: MWF 12-1, RLM 7.124
Professor: Robert Gompf, RLM 12.154
Office hours: MWF
10:20-10:55, W 2-2:45 or by appointment.
Office phone: (512) 471-8182
TA: Lingfan Chen
Text: Maxwell Rosenlicht,
Introduction to Analysis, Dover, 1968, ISBN 0-486-65038-3.
collected Friday mornings at the beginning of class (or immediately
if you arrive late that day). If you can't attend that day, you can
slip the paper under my door before noon on the due date. Late
papers will not be accepted. Solutions will be posted on Canvas on the due
date. (Look under "files" on the menu at the left.) HW#12 (which
would otherwise be due on Thanksgiving weekend) will be collected on
the following Monday. HW#14 will be assigned but not collected.
Your current grade data will
be available on Canvas .
Exams: In class on Wed. October 4 (covers HW
#1-4) and Wed. November 1 (covers HW #5-8).
Final exam as officially
scheduled: Thursday, December 14, 2-5 PM. Covers through HW#14,
Rosenlicht VII.1. Emphasis will be on material not covered by the
previous exams. The final may be weighted more heavily toward proofs
than the midterms.
Course grades will be
determined by homework (20%), in-class exams (25% each) and final
exam (30%). Attendance will not be included. Plus/minus grades will
be used as needed.
Approximate schedule of lectures:
The real numbers (Rosenlicht Ch. II): 4 lectures
Cardinality: 1 lecture
Metric spaces (Ch. III): 15 lectures
Continuous functions (Ch. IV): 9 lectures
Differentiation (Ch. V): 4 lectures
Riemann integration (Ch. VI): 7 lectures
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expected to uphold these values through integrity,
honesty, trust, fairness, and respect toward peers and
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