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 syllabus (txt) for the 1^st semester.

The various Math czars who helped out.

Time	Chalk	Blackboard	H-Probs	Phone	Projector
Trent	Danielle	Trent	Johanna & Cara	Stephen	Paul

General Info

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.)

Our textbook is Advanced Calculus (Third Edition).

Author:	R. Creighton Buck	ISBN:	978-1-57766-302-7
Year:	2003	Publisher:	Waveland Press Inc.

Here are links to this book at The Publisher's site and at Amazon.com. It is available at many online booksellers.

Previous invocations of this Fine Course

Below is part of the ACES, Autumn 2006 page:

Fourier transform (cartoon)
The spur-of-the-moment Extra Problems (txt).
The comforting Prereq-A (pdf) exists.
The gorgeous Quiz QA (pdf) has been instantiated.
The splendiferous Practice exam B (pdf). [Wedn., 04Oct.] preceded the fabulous, spoofilated Class-B (pdf).
Voila Quiz QB (pdf).
Spiffy Practice exam C (pdf) was the precursor to spiffilicious Exam C (pdf).
The proverbial Practice exam D (pdf). followed by the legendary Class-D (pdf).
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) .

Our textbook was Advanced Calculus, an introduction to analysis (3^rd edition).

Author:	Watson Fulks	ISBN:	0-471-02195-4
Edition:	3^rd, 1978	Publisher:	John Wiley

Material from ACES, Autumn 1999:

Homework and reading, so far…

Here is a list of some of the E-problems (txt) that I have assigned.
Here is an example of A C-infinity function which is not everywhere analytic (pdf).

Exams and Projects (Real Analysis)

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.

HM-Alpha (pdf) and CL-Alpha (pdf).
HM-Beta (pdf) and CL-Beta (pdf).
HM-Gamma (pdf) and CL-Gamma (pdf).

Spr2009: MAA4103 2363 Intro.AdvCalc.E&PS.2 MWF4 LIT127

Spr2009: MAA5105 7598 Advanced.Calculus.2 MWF4 LIT127

ACES 2

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.

We have a syllabus (txt) for the 2^nd semester.

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 useful information for students in all of my classes. It has my schedule, LOR guidelines, and Usually Useful Pamphlets. One of them is the Checklist The checklist (pdf) which gives pointers on what I consider to be good mathematical writing. Further information is at our class-archive URL (I email this private URL directly to students).

End-of-semester Individual Project

The Individual Project (pdf) is due, slid u n d e r room 402 Little Hall 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