Math 3371, Real Analysis
Fall 2022
General Information
Class Meetings: TF 2:00-2:50, W 3:00-3:50 Bannow 334
Instructor: Chris Staecker (Personal
Homepage)
Email: cstaecker@fairfield.edu
Office: BNW 16
Office Hours: TF 10-11, W 1:30-3, or by appointment.
All office hours are in my office, or on Zoom: https://fairfield.zoom.us/j/5514910533
Final Exam: Tuesday December 20, 3PM.
Other Stuff
Tests & Homework
9/14: Homework #1 due
Section 1.2 #3ab, 10 (for the true ones, you don't need a real proof, just some words to explain)
Section 1.3 #1a, 1b (state it, don't prove it), 2, 7, 8
Professor's answers
9/21: Homework #2 due
Section 1.4 #3 (you should use the Archimedean property), 4, 6 (if it's dense, say so; if not, find two numbers with none in between), 8bc
Section 1.5 #2, 5
Professor's answers
9/28: Homework #3 due
Section 2.2 #2, 4, 5 (don't do the "reflecting" part), 7
Professor's answers
10/5: Homework #4 due
Section 2.3 #1a, 2a, 3 (this one is easiest if you think in terms of neighborhoods), 4ab, 7
Section 2.4 #4b
Professor's answers
10/12: Homework #5 due
Section 2.5 #1abc, 2abd
Section 3.2 #2abc (read the definition of "isolated"), 3abc, 6ac
Professor's answers
10/14: Exam #1
10/26: Homework #6 due
Section 3.2 #2d, 8abc (explain why)
Section 3.3 #2abce, 4, 5cd
Professor's answers
11/2: Homework #7 due
Section 3.3 11abce
Section 3.4 5, 7 (for these, look up the definition of "separated")
Section 4.2 5
Professor's answers
11/9: Homework #8 due
Section 4.2 8abc, 9ab
Section 4.3 1a, 6abc, 7a, 8b
Professor's answers
11/16: Homework #9 due
Section 4.4 1, 3, 8ab (for your "examples", you can just draw a graph if you want), 9
Professor's answers
11/18: Exam #2
11/30: Homework #10
Section 4.5 1, 2, 6a (hint: use IVT on g(x)=f(x)-f(x+1/2)), 7
Section 5.2 2
Professor's answers
12/7: Homework #11
Section 5.3 3, 7
Section 6.2 1a, 2ab (answer all parts except the one about uniform convergence), 3a
Professor's answers
12/14: Homework #12 (optional)
Section 6.2 1bcd, 2ab (just do the uniform stuff. If it's uniform, prove it- if not, just say not), 3bc (for b, there's a theorem about continuity)
Section 6.3 1
Professor's answers
Do the course evaluation survey!
Evaluation survey link
12/20: Final Exam
3:00—6:00
Review sheet with answers
Class recordings
Here is a YouTube playlist