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Aut2008: MAA4102 3043 Intro.AdvCalc.E&PS.1 MWF4 LIT127
Aut2008: MAA5104 6153 Advanced.Calculus.1 MWF4 LIT127

ACES 1 Analysis

(Advanced Calc for Engineers and Scientists)
There was a continuation of this course, ACES 2, in Spring 2009.

Real Analysis is no more about reality than Complex Analysis is about complexity.
-P. Boyland, paraphrased

This was the 1st 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 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.
Photo of text cover
Here are links to this book at The Publisher's site and at It is available at many online booksellers.

Previous invocations of this Fine Course

Below is part of the ACES, Autumn 2006 page:

Our textbook was Advanced Calculus, an introduction to analysis (3rd edition).
Author: Watson Fulks ISBN: 0-471-02195-4
Edition: 3rd, 1978 Publisher: John Wiley

Material from ACES, Autumn 1999:

[Image: Coffee cup] 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).

[Image: Steaming coffee cup] 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.

Spr2009: MAA4103 2363 Intro.AdvCalc.E&PS.2 MWF4 LIT127
Spr2009: MAA5105 7598 Advanced.Calculus.2 MWF4 LIT127

ACES 2  Analysis

Welcome! This is a continuation of my ACES 1. It is the 2nd 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 2nd 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 ChecklistThe 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. LaTeX , 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 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 various Math czars who help out.

Time Chalk Blackboard H-Probs Projector
Stephen Allison Allison Vivek C-Lo & Trent

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____End: Real Analysis