Real Analysis is no more about reality than Complex Analysis is about complexity.-P. Boyland, paraphrased
This was the 1^{st} semester of a full-year introductory
Real Analysis on Euclidean spaces
course.
All good webpages start with an Aphorism. Here is ours.
Quantifiers ∀ and ∃ (“for all” and “there exists”) are like nitroglycerin, in that one little mis-step leads to the whole thing blowing up in your face.
There is no partial credit when it comes to Explosives and Quantifiers.
-JLF King
The Optional Project-E (pdf) was done individually, with each student submitting his own essay and (LARGE) pictures. The essay was to be carefully typed and proofread. The essay can only raise/lower your course-grade by a half-grade, if you choose to hand it in.
Please read all of AdvCalc Notes (pdf) which has proofs of many of our recent results, as well as the axioms for a metric space.
The actual Class-D (pdf) (to which folks are posting solutions) was similar to, but much shorter than, the eagerly awaited Practice Class-D (pdf).
The snazzy Class-C (pdf) followed in his father's Practice Class-C (pdf) footsteps.
One earns genuine coin-of-the-realm CP points (CP = "class participation") by posting a solution or improving a solution.
The spiffy Class-B (pdf) has been instantiated. Much appreciated (in addition to its Engineer joke) was its similarity to a small subset of the Practice Class-B (pdf).
General gaity and acclaim greeted the taut ACES Prereq-A (pdf), with its clean lines, and stylish 1-page format. The 2-page sample test (pdf) was longer than the actual prereq.
The various Math czars who helped out.
Time | Chalk | Blackboard | H-Probs | Phone | Projector |
---|---|---|---|---|---|
Trent | Danielle | Trent | Johanna & Cara | Stephen | Paul |
Our class has a LISTSERV archive. I will email to each student how to post-to and read-from the Archive. (The archive is at a private URL, only for the use of the students in our class.)
Author: | R. Creighton Buck | ISBN: | 978-1-57766-302-7 |
Year: | 2003 | Publisher: | Waveland Press Inc. |
Below is part of the ACES, Autumn 2006 page:
Final project E (pdf), which needs to be carefully typed, is due…
…by noon on Friday, 08Dec2006.
Please slide your write-up completely u n d e r my office door (Little Hall 402, Northeast corner) .
Author: | Watson Fulks | ISBN: | 0-471-02195-4 |
Edition: | 3^{rd}, 1978 | Publisher: | John Wiley |
Material from ACES, Autumn 1999:
Each exam has a home part
(e.g, HM-alpha), done in teams,
and a class part
(e.g, CL-alpha), done individually.
Typically, you will have 8 days to do HM-x. A few days after it is due,
CL-x will be given in class.
A student's score on Exam-x is the sum of his team's HM-x grade with his
own CL-x grade.
The theory behind this is that everyone can learn from his teammates, and the CL-part tests that he really did learn it.
Welcome!
This is a continuation of my
ACES 1.
It is the 2^{nd} semester of a full-year
Real Analysis on Euclidean spaces
course.
The undergraduate course-symbols are
MAA4102 and MAA4103
(Fall and Spring semesters).
Its graduate course-symbols are
MAA5104 and MAA5105.
In all of my courses, attendance is absolutely required (excepting illness and religious holidays). In the unfortunate event that you miss a class, you are responsible to get all Notes / Announcements / TheWholeNineYards from a classmate, or several. All my classes have a substantial class-participation grade.
Our Teaching Page
has important information for my students.
(It has the
Notes, Exams and Links
from all of my previous courses.)
The Teaching Page has my schedule,
LOR guidelines,
and Usually Useful Pamphlets.
One of them is the
Checklist (pdf)
which gives pointers on competant mathematical writing.
Further information is at our
class-archive URL
(I email this private URL directly to students).
The Individual Project (pdf) is due, slid u n d e r my office door (Little Hall 402, Northeast corner) no later than 3:30PM, Friday, 24Apr2009.
The project must be carefully typed. , except for the exceptions mentioned in class. Diagrams may be hand-drawn.
At all times have a paper copy you can hand-in; I do
NOT accept
electronic versions.
Print out a copy each day, so that you always have the latest version to
hand-in; this, in case your printer or computer fails.
(You are too old for My dog ate my homework.
)
Please follow the guidelines on the Checklist (pdf, 3pages) to earn full credit.
We will have team homework assignments (typically teams of 2 students, with about a week to complete the HW) which must be carefully typed in the LaTeX typesetting language.
The gentle Class-G (pdf) was foreshadowed by the comforting Prac-G (pdf).
The heartening Class-F (pdf) was preceded by a similar list of conundra, Prac-F (pdf).
Please take a look at AdvCalc Notes (pdf).
The various Math czars who help out.
Time | Chalk | Blackboard | H-Probs | Projector |
---|---|---|---|---|
Stephen | Allison | Allison | Vivek | C-Lo & Trent |